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Overview of MySql Masterclass Join our MySql Masterclass course and discover your hidden skills, setting you on a path to success in this area. Get ready to improve your skills and achieve your biggest goals. The MySql Masterclass course has everything you need to get a great start in this sector. Improving and moving forward is key to getting ahead personally. The MySql Masterclass course is designed to teach you the important stuff quickly and well, helping you to get off to a great start in the field. So, what are you looking for? Enrol now! This MySql Masterclass Course will help you to learn: Learn strategies to boost your workplace efficiency. Hone your skills to help you advance your career. Acquire a comprehensive understanding of various topics and tips. Learn in-demand skills that are in high demand among UK employers This course covers the topic you must know to stand against the tough competition. The future is truly yours to seize with this MySql Masterclass. Enrol today and complete the course to achieve a certificate that can change your career forever. Details Perks of Learning with IOMH One-To-One Support from a Dedicated Tutor Throughout Your Course. Study Online — Whenever and Wherever You Want. Instant Digital/ PDF Certificate. 100% Money Back Guarantee. 12 Months Access. Process of Evaluation After studying the course, an MCQ exam or assignment will test your skills and knowledge. You have to get a score of 60% to pass the test and get your certificate. Certificate of Achievement Certificate of Completion – Digital / PDF Certificate After completing the MySql Masterclass course, you can order your CPD Accredited Digital/ PDF Certificate for £5.99. Certificate of Completion – Hard copy Certificate You can get the CPD Accredited Hard Copy Certificate for £12.99. Shipping Charges: Inside the UK: £3.99 International: £10.99 Who Is This Course for? This MySql Masterclass is suitable for anyone aspiring to start a career in relevant field; even if you are new to this and have no prior knowledge, this course is going to be very easy for you to understand. On the other hand, if you are already working in this sector, this course will be a great source of knowledge for you to improve your existing skills and take them to the next level. This course has been developed with maximum flexibility and accessibility, making it ideal for people who don’t have the time to devote to traditional education. Requirements You don’t need any educational qualification or experience to enrol in the MySql Masterclass course. Do note: you must be at least 16 years old to enrol. Any internet-connected device, such as a computer, tablet, or smartphone, can access this online course. Career Path The certification and skills you get from this MySql Masterclass Course can help you advance your career and gain expertise in several fields, allowing you to apply for high-paying jobs in related sectors.

MySql Masterclass
Delivered Online On Demand13 hours 22 minutes
£11.99

Weight Management Consultancy Diploma

By Plaskett International

LEARN HOW TO BECOME A WEIGHT MANAGEMENT CONSULTANT WITH THE CLIENT'S HEALTH & WELLBEING AT THE CORE. A MESSAGE FROM THE AUTHOR As you enter into this study, I want you to be fully aware of what lies before you. If you save people from overweight, you will also increase life-expectancy and/or prevent the onset of serious debilitating diseases. There will also be those clients whose life has been long limited in a psychological sense and you will be able to help them to restore their sense of verve and vitality so they can again live life to the fullest extent. This will be done through learning special expertise both technically and in person-to-person relations. With these words of encouragement, I warmly welcome you to this course of study where the amount of potential job satisfaction is incalculable. DR. LAWRENCE PLASKETT Course Duration 12 months Study Hours 200 hours Course Content 13 sections Course Fee £475 Course Overview The Plaskett Weight Management Consultancy course will provide you with a detailed, systematic and scientifically-based training, fuller than any other we know of in the field. It will enable you to practise as a well-informed Weight Management Consultant and most importantly, you will be able to help and support individuals in their quest to lose weight whilst maintaining health and well-being. Learn the Basic Elements of Nutrition You will gain an understanding of the basic elements of nutrition with a focus on the key nutrients in order to avoid deficiencies when working with weight loss clients. Create Individualised Weight Loss Programmes You will develop the confidence to be able to make informed choices from a wide span of weight loss options and avoid the use of rigidly fixed methods, thereby delivering programmes best suited to individual needs. Become a Skilled Adviser You will learn the skills to be able to counsel on a one-to-one basis, we believe that this favours the resolution of individual circumstances and problems. You will receive the training to see your clients through every stage of the process, thereby maximising their chances of success. Expand Practice of Current Health Professionals In addition to those wanting to set up practice as a Weight Management Consultant, this course is ideally suited to current health & fitness professionals looking to enhance their practice. BREAKDOWN OF THE COURSE SECTIONS The Weight Management Consultancy Diploma includes the following 13 sections: SECTION 1 BASIC SCIENCE SUPPORT Whilst our main concern will be with weight loss, we need to understand some of the basic aspects of nutrition. These deal with the key nutrients that we have to control to reduce weight. They will also help us to understand how to lose weight without developing deficiencies.  In Section 1, we begin the study of nutrients and foods by looking at the main bulk nutrients that our diets contain: protein, carbohydrate and fat. Before one can consider individual vitamins and minerals, one has to know about the nutrients that make up most of our diets, namely the bulk nutrients. These are the suppliers of food energy and ultimately help to decide an individual's size. You will need to understand these so as to manipulate them with skill. Areas Covered What are the bulk nutrients? Chemical elements contained in the bulk nutrients Proteins Carbohydrates Fibre Fats The energy reserve role of fat The lipoproteins of the blood SECTION 2 UNDERSTANDING THE FIELD & NATURE OF THE PROBLEM This section introduces the basic ideas of the training. The purpose of this course of training is to enable the student to help others who are overweight or obese to lose weight, and to do so in a professional manner. At the same time, it aims to motivate you and empower you to set up a practice as a ‘Weight Management Consultant’ that will lead to your gaining a good reputation in this field, developing a panel of satisfied clients and bringing you both status and income.  Since losing weight is not easy, one has to be aware of all the different methods and ramifications that are a part of this intriguing subject. The professionalism comes from knowing a number of different “ways in” to help the clients and also from being able to develop awareness of the individuality of each client. This will put you in a position to find the best and most successful route to weight loss for each person who consults you. This will mean giving individual advice, not just the same advice to everyone. By recognising individuality we earn the client’s trust and appreciation and we also increase the chances of achieving the fullest possible success by being in a position to find individual solutions to each client’s problem. Areas Covered The aims of the work The clients’ motives The clients themselves The clients’ knowledge of nutrition The place of psychology The arithmetical equation of body weight Ways of working Getting fat is all too easy – we review how it happens Definition and classification: criteria for weight normality SECTION 3 THE THEORY OF THE CAUSES OF OVERWEIGHT & OBESITY In this section we explore 'The Theory of what Causes Overweight and Obesity'. We look at the underlying reasons for this current epidemic scale of the problem in developed societies throughout the world. Understanding this will give you an insight into what needs to be done. The Weight Management Consultant clearly needs to understand as fully as possible the causes of obesity in order to be able to formulate good advice. It is necessary to understand that, although the ultimate cause is always eating more than the body requires, that factor is modified by many subsidiary factors. One, that always interests clients, is whether or not one may be predisposed by one’s inheritance to put on and retain weight, so we deal with this question. Areas covered Relative effect of genetics and environment Hormonal disturbance in obesity Slower than normal rates of energy expenditure The role of fat cells Role of the enzyme lipoprotein lipase SECTION 4 THE HEALTH CONSEQUENCES OF EXCESS WEIGHT It is well known that being overweight or obese increases the chances of contracting chronic illnesses. This section examines the types of illnesses involved and the way that their incidence is affected by body weight. From the standpoint of a Weight Management Consultant, the use of this information is to present clearly the vital benefits that your work can bring to your clients in terms of freedom from illness. This knowledge can augment your job satisfaction, especially when you can see the client’s health condition improving as weight comes down. That can be expected to happen sometimes, but of course not always. So, potentially this information can serve to inform your clients about the degree to which slimming down from an overweight or obese condition can help them to avoid very negative health consequences. By passing on parts of this data to some carefully selected clients, you may perhaps either improve their flagging motivation, or increase their satisfaction level with their early results or with the efforts they are making. Areas covered The connection between overweight and ill health The risk of early death Illness and death from cardiovascular disease Illness and death from diabetes mellitus Illness and death from hypertension Illness and death from respiratory problems Illness and death from gallbladder disease Illness and immobility from arthritis Illness from gout Illness and death from cancer SECTION 5 FIRST PRINCIPLES OF CORRECTING EXCESS WEIGHT In this section we approach the practical side of the Weight Management Consultant’s job. The greatest skill required of the Consultant is that of formulating the advice in a way that combines efficacy with client acceptability. The mistake most often made in the approach to weight reduction is to employ only one method yet in pursuing reduction in a person’s weight, it is best to come at the problem from multiple angles simultaneously. The person’s diet may well have to be the first and foremost approach however, the main alternative approaches involve several different ways of preventing excess food materials from being stored, leading to overweight.  If control of the diet is the only method one employs, then so much depends upon strict dietary control that the will and the motivation of the client may be too severely tested. However, an approach in which dietary control takes pride of place, but is supported by a number of other approaches, is more likely to find client acceptability and is therefore more likely, ultimately, to be successful. In this section we list these “prevention of storage” approaches before dealing more fully with the diet. Areas covered Strategy of weight control Reduction of food intake The use of balanced hypocaloric diets Strategies for reducing food intake in practice Using foods intended to increase metabolic rate Mixtures of the various strategies SECTION 6 REDUCING WEIGHT THROUGH DIET & DIETARY COMPOSITION The principal purpose of this section is to understand the scope that we have to reduce food calories in the diet without necessarily reducing the total weight of food consumed. It looks closely at understanding and measuring food energy. Working in this way with diet is kindest to the clients and makes fewer demands upon their efforts and their will to succeed. Areas covered Understanding food energy The make-up of daily diets What does the body have to do with tis energy? Water content of foods The differing energy contents of food dry matter Substituting low-calorie for high-calorie foods The first stage of calorie reduction Combining diet with exercise A further stage of calorie reduction SECTION 7 SELECTING INDIVIDUAL FOODS The previous section talks mainly about the first principles of reducing calorie intake while keeping the weight of daily food dry matter level. This is done mainly by varying the extent to which each food class contributes to the overall diet; we simply reduce the proportions of those food classes with the higher calorie content. This section now looks within food classes to pick out those foods that, individually, have lower calorie content than the average for foods within the class concerned and make the best contribution to an individual client’s diet. This is a further step to calorie reduction without loss of food bulk. Areas covered Different foods within any given class have different calorific values Choosing foods within food classes for calorie reduction Specific recommendations for individual foods within each class Care needed in using the information Calorie contents of the “more suitable foods” Dietary results from substituting individual foods The necessary provision of dietary fat The quality of dietary protein The quantity of dietary protein Choosing foods for overall dietary suitability SECTION 8 BUILDING YOUR KNOWLEDGE OF FOODS INTO DIETS In the Sections that have gone before, we have noted several key strategies aimed at reducing the client’s intake of calories. This section gets down to the key job of building and structuring a diet to help each particular client - the aim now is to address the actual prescribing of diets to enable you to build upon the principles already learned and to give the client a workable diet that can achieve his or her aims. Areas Covered The adjusting and re-balancing of the food classes Calculating the food replacements Targeting individual foods SECTION 9 FIRST LOOK AT CONDUCTING CONSULTATIONS This section takes you through managing the consultation, helping you to structure the activity to provide a satisfactory experience for your clients. This is the basis for a good approach to weight reduction.  The section culminates in the provision of example diet sheets with guidelines according to food classes and guidelines according to mealtimes and considers the benefits of both. Areas Covered The consultant’s surroundings and manner Direction of the early conversation Collection of the dietary data Weight-loss ideas come to you during the data collection Identifying the largest food contributions to overweight Balancing the food classes Writing down the guidelines Substitution of individual foods Reduction in the food bulk eaten Integrating the entire diet Example diet sheets SECTION 10 COUNTING CALORIES. BENEFITS OF EXERCISE. THE KETO DIET. In section 10 we cover the method of calculating the calories in everyday life. We look at the benefits of exercise for suitable clients and discuss more specific diets such as the ketogenic diet.  Areas Covered Calculating the calories The benefits of exercise The ketogenic diet SECTION 11 PROMOTING GOOD HEALTH. UNDERSTANDING DRUG TREATMENTS. FOLLOW-UP GUIDELINES. Brings us to the section where we set about designing slimming programmes that are not only effective at weight loss, but also promote good health. To give you an insight into the potential problems, we also look at the drug treatments given for overweight by doctors. We also take you through the guidelines for follow-ups after the first consultation. Areas Covered Slimming programmes to promote good health Understanding drug treatments for overweight Follow-up guidelines SECTION 12 USE OF SUPPLEMENTS TO PROMOTE LOSS OF WEIGHT This section deals with non-food substances, or supplements that with help with weight loss. It looks at how they actually achieve this and discuss their effectiveness and safety implications for the individual. These include some micronutrients, herbs, enzyme inhibitors and sequestering agents. Areas Covered Inhibition of fat absorption Changing body composition Substances encouraging increased thermogenesis Appetite suppressants Enzyme inhibition Prevention of fat synthesis Nutrients that may accelerate metabolism Appendix 1 – some abstracts of key articles Appendix 2 – summary of modes of action SECTION 13 MANAGING This rather substantial last section deals with a fuller and final part on “Managing the Consultations”. This further develops your consultation skills and objective setting in weight management practice. It also addresses the tricky question of compliance and weight regain and how to avoid it. Finally, it looks at “Running your Practice as a Business” to ensure that you have a grasp of the business principles that you will need. Areas Covered Managing the consultations – basic methodology Note on progressive reduction in energy needs Construction of the overall prescription – different components Running your practice as a business Appendix (more about why the slimming process slows down) TESTIMONIALS Here's what students have to say about the course Mrs E. Marriott UK “The Plaskett course in Weight Management Consultancy has been a really good introduction into the importance of nutrition and balancing food groups to make up a healthy diet plan for those who are obese and wishing to lose weight. It would be good if you want to do it for your own understanding or if you are looking for a step into a professional qualification or practicing yourself. The tutors communicate with you and give you detailed feedback on assignments and the work is achievable within a year, quicker if your apply yourself. There is a lot of information in the course surrounding basic nutrients, composition of foods and on how to set up and run your own practice”.

Weight Management Consultancy Diploma
Delivered OnlineFlexible Dates
£88 to £475

R Ultimate 2023 - R for Data Science and Machine Learning

By Packt

Get involved in a learning adventure, mastering R from foundational basics to advanced techniques. This course is a gateway to the realm of data science. Explore statistical machine learning models and intricacies of deep learning and create interactive Shiny apps. Unleash the power of R and elevate your proficiency in data-driven decision-making.

R Ultimate 2023 - R for Data Science and Machine Learning
Delivered Online On Demand22 hours 16 minutes
£59.99

Modern JavaScript from The Beginning [Second Edition]

By Packt

This second-edition JavaScript course covers fundamental concepts, including variables, data types, functions, and control flow, as well as advanced topics such as object-oriented programming, modules, and testing. With practical projects and clear explanations, learners can gain a solid understanding of the language and develop their skills.

Modern JavaScript from The Beginning [Second Edition]
Delivered Online On Demand36 hours 58 minutes
£125.99

PHP Crash Course 2021

4.7(160)

By Janets

Register on the PHP Crash Course 2021 today and build the experience, skills and knowledge you need to enhance your professional development and work towards your dream job. Study this course through online learning and take the first steps towards a long-term career. The course consists of a number of easy to digest, in-depth modules, designed to provide you with a detailed, expert level of knowledge. Learn through a mixture of instructional video lessons and online study materials. Receive online tutor support as you study the course, to ensure you are supported every step of the way. Get an e-certificate as proof of your course completion. The PHP Crash Course 2021 is incredibly great value and allows you to study at your own pace. Access the course modules from any internet-enabled device, including computers, tablet, and smartphones. The course is designed to increase your employability and equip you with everything you need to be a success. Enrol on the now and start learning instantly! What You Get With The PHP Crash Course 2021 Receive a e-certificate upon successful completion of the course Get taught by experienced, professional instructors Study at a time and pace that suits your learning style Get instant feedback on assessments 24/7 help and advice via email or live chat Get full tutor support on weekdays (Monday to Friday) Course Design The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace. You are taught through a combination of Video lessons Online study materials Certification Upon successful completion of the course, you will be able to obtain your course completion e-certificate free of cost. Print copy by post is also available at an additional cost of £9.99 and PDF Certificate at £4.99. Who Is This Course For: The course is ideal for those who already work in this sector or are an aspiring professional. This course is designed to enhance your expertise and boost your CV. Learn key skills and gain a professional qualification to prove your newly-acquired knowledge. Requirements: The online training is open to all students and has no formal entry requirements. To study the PHP Crash Course 2021, all your need is a passion for learning, a good understanding of English, numeracy, and IT skills. You must also be over the age of 16. Course Content Unit 01: Introduction Introduction 00:07:00 Unit 02: Installation Installing Xampp 00:10:00 Installing Sublime 00:03:00 Unit 03: Basic Syntax and First Steps Basic Syntax 00:12:00 Echo 00:04:00 Print and Differences between Echo and Print 00:08:00 Variables 00:07:00 Constants 00:06:00 Comments 00:05:00 Single vs Double Quotes 00:04:00 Unit 04: Data Types Integers 00:05:00 Floats 00:01:00 Booleans 00:02:00 Strings 00:03:00 Nulls 00:02:00 Unit 05: Operators Arithmetical Operators 00:05:00 Assignment Operators 00:06:00 Comparison Operators 00:06:00 Increment and Decrement Operators 00:04:00 Unit 06: Statements If Elseif Else 00:09:00 Switch 00:06:00 Unit 07: Loops While 00:09:00 For 00:06:00 Unit 08: Arrays Arrays and Indexed Arrays 00:06:00 Associative Arrays 00:06:00 Multidimensional Arrays 00:08:00 Unit 09: Functions Functions 00:07:00 Functions with Arguments 00:06:00 Unit 10: Super Globals Intro to Super Globals 00:04:00 Post 00:11:00 Get 00:14:00 Sessions pt. 1 00:09:00 Sessions pt. 2 00:08:00 Unit 11: Date and Time Date 00:04:00 Time 00:09:00 Frequently Asked Questions Are there any prerequisites for taking the course? There are no specific prerequisites for this course, nor are there any formal entry requirements. All you need is an internet connection, a good understanding of English and a passion for learning for this course. Can I access the course at any time, or is there a set schedule? You have the flexibility to access the course at any time that suits your schedule. Our courses are self-paced, allowing you to study at your own pace and convenience. How long will I have access to the course? For this course, you will have access to the course materials for 1 year only. This means you can review the content as often as you like within the year, even after you've completed the course. However, if you buy Lifetime Access for the course, you will be able to access the course for a lifetime. Is there a certificate of completion provided after completing the course? Yes, upon successfully completing the course, you will receive a certificate of completion. This certificate can be a valuable addition to your professional portfolio and can be shared on your various social networks. Can I switch courses or get a refund if I'm not satisfied with the course? We want you to have a positive learning experience. If you're not satisfied with the course, you can request a course transfer or refund within 14 days of the initial purchase. How do I track my progress in the course? Our platform provides tracking tools and progress indicators for each course. You can monitor your progress, completed lessons, and assessments through your learner dashboard for the course. What if I have technical issues or difficulties with the course? If you encounter technical issues or content-related difficulties with the course, our support team is available to assist you. You can reach out to them for prompt resolution.

PHP Crash Course 2021
Delivered Online On Demand3 hours 42 minutes
£25

Best Techniques to Speed up your Math

By iStudy UK

Description First of all how long will it take you to multiply 10005 and 10008? Even if you are using calculator, pressing the keys will take you a few seconds although you might be very quick with the calculator. But with Vedic Math you can do this within 2 seconds orally. 10005 × 10008 = 100130040 You won't believe I can write the answer of this problem as soon as I have a first look at it. Wondering How? So that's the beauty of Vedic Math. It's not because I know Math and I'm very fast with it, everybody can do this. It's simple Vedic Math. In fact you can do bigger numbers also orally like the below example 1000004 × 1000005=1000009000020 If you try calculating the above problem on your calculator it will show you 1.000009e12, we know that it's not the full answer. What you'll learn You will be able to perform calculations many many times faster without the help of calculators. Most of the Calculations are happening in your memory so you will be able to perform Math operations without the help of pen and paper. These tricks, improve your visual skills of doing Math power and activate your left and right brain. You will be able to develop more concentration abilities that decreases the chance of errors in calculations. These Math tricks are amazing and learning is full of fun and just by watching video lectures three or four times,these tricks will become part of your calculations. These mental Math tricks eradicates fear and phobia of Math, brings out hidden potential in you and improves overall academic performance. Requirements Knowledge of mathematics up to fifth grade Knowledge of the Times Tables up to 9 Introduction Introduction 00:02:00 How to take up this course 00:02:00 Addition by Dropping Ten's and Grouping Methods Fastest method to add single digit numbers 00:07:00 Fastest method to add two digit numbers 00:04:00 Fastest method to add any digit numbers 00:07:00 Addition by grouping to ten's method single digit numbers 00:04:00 Addition by grouping to ten's method two digit numbers 00:06:00 Addition by grouping to ten's method three digit numbers 00:03:00 Addition (Using world's Fastest Technique) Left to right addition Part 1 00:12:00 Left to right addition Part 2 00:05:00 Left to right addition Part 3 00:13:00 Downloadable resources - 1 00:30:00 Subtraction (Using world's Fastest Technique) Left to Right Subtraction Part 1 00:09:00 Left to Right Subtraction Part 2 00:10:00 Left to Right Subtraction Part 3 00:10:00 Left to Right Subtraction Using Nikhilam Sutra 00:09:00 Multiplication Tricks by 11, 22, 33 Multiplying any digit number by 11,22,33 etc 00:11:00 Remainder Trick by 9 Finding remainder when a number of any digits is divided by 9 00:04:00 Multiplication Tricks by 9, 99, 999, 9999 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 etc 00:08:00 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 2 00:07:00 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 3 00:06:00 Multiplication Tricks for Numbers near to base Product of two numbers below the base number 100; 1000 etc 00:08:00 Multiplication of Numbers above the base 1000; 10000; 100000 etc 00:08:00 Multiplication of numbers one above the base and second less than the base 00:06:00 Multiplication short Tricks by 5, 25, 125 Multiplying any digit number by 5, 25, and 125 faster than calculator 00:07:00 Multiplication by vertically & crosswise Multiplying any two digit numbers using Vertically and Crosswise 00:04:00 Multiplying three digit numbers using Vertically and Crosswise 00:05:00 Multiplying four digit numbers using Vertically and Crosswise 00:08:00 Multiplying different digit numbers using Vertically and Crosswise 00:05:00 Division Tricks by Nikhilam Technique of Vedic Math Division by 9 in 2 seconds 1223 00:05:00 Division by 9 continues...... 00:06:00 Division by Nikhiliam Sutra in single line in 2 seconds 00:14:00 Straight Division Technique Straight Division by Vedic Math 00:09:00 Division by two-digit number 00:07:00 Division by three-digit number 00:07:00 Division - when answers are decimals 00:12:00 Division by three or four digit numbers 00:09:00 Straight Division - Two special problems 00:08:00 Squaring Numbers Tricks Squaring numbers that end in 5 using Vedic Math 00:04:00 Squaring two digit numbers mentally Using Vedic Math technique 00:06:00 Squaring three digit numbers mentally Using Vedic Math technique 00:05:00 Tricks of finding cubes of numbers Finding cube of any two-digit number faster than calculator 00:10:00 Square Roots and Cube Roots Tricks Approximation method of finding square root of numbers which are perfect squares 00:12:00 Approximate value of square root of numbers which are not perfect squares 00:09:00 Approximation method of finding cube root of numbers which are perfect squares 00:03:00 Approximate value of cube root of numbers which are not perfect cubes 00:07:00 Tricks of Counting Squares, Rectangle and Triangles Short tricks to count Number of Squares in given figure 00:05:00 Short tricks to count Number of Rectangles in given figure 00:03:00 Short tricks to count Number of triangles in given figure 00:04:00 Tricks of finding Day of the week (Calendar) Finding Day of the week when any date is given in 2 Seconds mentally 00:12:00 Digital Sum Tricks of finding answers in multiple choice problems Digital sum of a number 00:04:00 Digital sum- Addition and Subtraction 00:10:00 Digital sums- Multiplication 00:07:00 Digital sum- divisions 00:08:00 Simplification short cuts for complicated fractions and square root problems Simplification short tricks for complicated fractions 00:10:00 Simplification short tricks for fractions series part 1 00:07:00 Simplification short tricks for fractions series part 2 00:05:00 Simplification short tricks for complicated square root problems 00:09:00

Best Techniques to Speed up your Math
Delivered Online On Demand7 hours 17 minutes
£25

Pefect your Algebra Fundamentals

By iStudy UK

Algebra is one of the most common and malleable types of mathematics, and it is also one of the most significant since primary algebra used by electricians, engineers, and nearly everyone in between. This Pefect your Algebra Fundamentals is intended for individuals with no prior knowledge of Algebra. This course includes all the fundamental concepts of Algebra, and each step-by-step arranged modules will explain topics in a mild and an approachable manner. You will understand the basic terminology of Algebra, following with finding the numerical value of Algebraic expressions, addition, subtraction, multiplication and division of Algebraic expressions, directed numbers, higher indices, use of brackets in Algebra and many more. To sum up, theories explained in an interactive and practical format and then further demonstrated with questions to ensure you have a good understanding of the topics by the end of this course. What Will I Learn? Apply laws of Indices ( Exponents) on algebraic expressions. Algebraic Identities used in algebra and their application like ( a - b ) ² , ( a + b ) ³ , a ³ - b ³ , ( a + b + c ) ² etc Factorize using common factors, regrouping , splitting the middle term, using identity a² - b² , (a+b)² , (a+b)² ,a ³ + b ³ + c ³ - 3 a b c etc Solve all types of Linear equations in one variable Word problems based on linear equations Knows about adding and removing brackets in algebraic expressions Change the subject of formula simplify fractions with denominators algebraic expression and bring them to its lowest form Add , subtract , multiply and divide any algebraic expression Divide one polynomial by another by long division method Find value of any algebraic expression when value of variable is known Fully familiar with rarely used identity a ³ + b ³ + c ³ - 3 a b c Learn to draw line graph Solve Linear Inequalities Able to solve all the problems of simultaneous linear equations by applying different methods Able to solve linear equations with 1/2 variables graphically Able to solve real world problems with the help of simultaneous linear equations Solve Quadratic equations using Factorization method and Quadratic Formula Solve Quadratic using squaring complete method Solve all types of complex Quadratic equations and reducible to quadratic equation Knowledge of nature of roots of quadratic equations Learn to solve different types of word problems on Quadratic equations Requirements Knowledge of Mathematics till 5th grade Who is the target audience? GMAT , GRE and MBA entrance exams students looking for revision of Algebra fundamentals Wants to brush up basics of algebra in Mathematics Current IGCSE students because course is designed to cover topics of Algebra Current Algebra students of CBSE , ICSE board . Middle school, High school or early college level students If Algebra is always trouble for you then this course is specially for you as it will teach from very basics to in depth knowledge giving lots of practice through solving problems Students who wants to learn all types of factorisation especially middle term split High school students who have gaps in their knowledge and would like to fill them with basics Introduction Lecture 1 Intro video Algebra Introduction final 00:02:00 Fundamental concepts on Algebraic Expressions Lecture 2 Terminology used in Algebra 00:05:00 Lecture 3 Language of Algebra 00:06:00 Lecture 4 Practice Questions 00:06:00 Lecture 5 Finding numerical value of an algebraic expression 00:14:00 Operations on Algebraic Expressions Lecture 6 Revision of Directed number ( integers 00:06:00 Lecture 7 Addition and subtraction of monomial expressions 00:06:00 Lecture 8 Addition of algebraic expressions with many terms 00:10:00 Lecture 9 Subtraction of algebraic expressions 00:10:00 Indices ( Exponents) Lecture 10 The rules of Indices in algebra 00:11:00 Lecture 11 Fractional indices 00:10:00 Lecture 12 Understanding indices (practice questions) 00:07:00 Lecture 13 Problems from IGCSE Last year papers 00:09:00 Multiplication and Division of Algebraic expressions Lecture 14 Multiplication of monomial algebraic expressions 00:05:00 Lecture 15 Multiplication of monomial with binomials and trinomials 00:11:00 Lecture 16 Division of algebraic expression by a monomial 00:07:00 Lecture 17 Division of algebraic expression by another polynomial 00:09:00 Lecture 18 Division of a polynomial by another polynomial with remainder 00:11:00 Brackets in Algebra Lecture 19 Rules of brackets 00:04:00 Lecture 20 Simplification by removing brackets 00:11:00 Linear equations in one variable Lecture 21 Simplification of algebraic fractions 00:07:00 Lecture 22 Rules to solve linear equations in one variable 00:03:00 Lecture 23 Solving linear equations in one variable 00:07:00 Pefect your Algebra Fundamentals 00:10:00 Lecture 25 Word problems on linear equations in one variable 00:13:00 Algebraic Identities Lecture 26 Standard Identities (a + b )² and (a - b )² identities 00:11:00 Lecture 27 Standard Identity ( a - b ) ( a + b) = a ² - b ² 00:08:00 Lecture 28 Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c 00:07:00 Lecture 29 Standard Identities ( a + b ) ³ and ( a - b ) ³ 00:09:00 Lecture 30 Standard Identities a ³ + b ³ and a ³ - b ³ 00:06:00 Lecture 31 Standard Identities a ³ + b ³ + c ³ - 3 a b c 00:10:00 Formula : Change of subject of formula Lecture 32 -Changing the subject of formula 00:08:00 Linear Inequalities Lecture 33 Linear Inequalities 00:12:00 Resolve into factors Lecture 34 Factorization by taking out common factor 00:10:00 Lecture 35 Factorization by grouping the terms 00:09:00 Lecture 36 Factorize using identity a ² - b ² 00:07:00 Lecture 37 Factorize using identity (a + b )² and (a - b )² 00:08:00 Lecture 38 Factorize using identity ( a + b + c ) ² 00:05:00 Lecture 39 Factorization by middle term split 00:12:00 Algebraic Fractions Lecture 40 Simplification of algebraic fractions 00:06:00 Coordinate axis - points and Line graph Lecture 41 All that you need to know about co ordinate axis 00:04:00 Lecture 42 Some important facts needed to draw line graph 00:03:00 Lecture 43 How to draw a line graph on coordinate plane 00:03:00 Lecture 44 Drawing line graphs 00:06:00 System of simultaneous linear equations in two variables Lecture 45 Simultaneous Linear Equations in two variables- intro 00:03:00 Lecture 46 Graphical method of solving linear equations 00:06:00 Lecture 47 Graphical method - more sums 00:10:00 Lecture 48 Method of Elimination by substitution 00:09:00 Lecture 49 Method of Elimination by Equating coefficients 00:11:00 Lecture 50 Method of Elimination by cross multiplication 00:07:00 Lecture 51 Equations reducible to simultaneous linear equations 00:12:00 Lecture 52 Word Problems on Linear equations 00:18:00 Polynomials Lecture 53 Polynomials and Zeros of polynomials 00:10:00 Lecture 54 Remainder Theorem 00:04:00 Lecture 55 Factor Theorem 00:08:00 Lecture 56 Practice problems on Remainder and Factor Theorem 00:09:00 Lecture 57 Factorization using factor Theorem 00:10:00 Quadratic Polynomials Lecture 58 Zeros of polynomials α, β & γ 00:10:00 Lecture 59 Relation between zeros and coefficients of a polynomials 00:13:00 Lecture 60 Writing polynomials if zeros are given 00:06:00 Lecture 61 Practice problems on zeros of polynomials 00:10:00 Lecture 62 Problems solving with α and β (part 1) 00:11:00 Lecture 63 Problems solving with α and β (part 2) 00:10:00 Quadratic Equations Lecture 64 what are Quadratic equations 00:03:00 Lecture 65 Solutions by factorization method 00:12:00 Lecture 66 Solutions by completing square formula 00:06:00 Lecture 67 Deriving Quadratic formula 00:05:00 Lecture 68 Practice problems by Quadratic formula 00:07:00 Lecture 69 Solving complex quadratic equations by Quadratic Formula 00:11:00 Lecture 70 Solutions of reducible to Quadratic Formula 00:09:00 Lecture 71 Skilled problems on Quadratic Equations 00:07:00 Lecture 72 Exponential problems reducible to Quadratic Equations 00:06:00 Lecture 73 Nature of Roots of Quadratic Equations 00:09:00 Lecture 74 Word problems on quadratic Equations Part 1 00:13:00 Lecture 75 Word problems on quadratic Equations Part 2 00:11:00 lecture 76 word problems on Quadratic 00:12:00 Mock Exam Final Exam

Pefect your Algebra Fundamentals
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Akks Private Tuition And Education Consultancy

akks private tuition and education consultancy

London

My company “AKKS Private Tuituon And Education Consultancy Limited” was established On 17 / 06 / 2021,My company is private tutoring and consultancy in London UK. My company's system: my first lesson is free for demonstration purposes. (I trust my training and work experience) The satisfied student continues his/her course. made my introductions from web and Gave free lessons, Online lessons ( Via Webex Meeting System ) and face-to-face lessons continued in Anywhere in th World. I searched and examined separately for each level. We have good knowledge and Experiences about UK’s Education system for Each School Years.We moved in UK and very good location in London. The satisfied students and Adults told his neighbour, relative or friend, After 15 years of active work in private lessons, We have improved myself. My system is very simple first lessons (Mathematics / Science / Mental Arithmetic / Turkish Language ) are given free of charge for promotional purposes. Afterwards, the satisfied students continue the lesson. Then, private lesson training in friends will continue after the free trial. Right Now we have enough Private lessons but Our Company have 3 Main goal form y company.First one is Private lessons (Online / Face to Face) , Second one is Group Lessons, Final one is the Education Consultancy in UK. My company and Myself UK has a lot of competitors in the information accumulation main criteria to choose me but to use similar methods is that active communication and lessons of experience. I will apply the same method while giving private tutoring in the UK and In this way, I will be more successful in private lessons in England. I also received mental arithmetic training and I am studying intelligence games. After the training in intelligence games, the lessons will be even more fun.I think , with my Experiences and methods we will step into very successful education-related businesses in England. With my company , I am adapting my More Than 10 Years experiences in the education system in England . We are doing my best to contribute to the UK's education system. The work We have done while I am here is the guarantee of my future success . My main philosophy is to touch the world of many more students and contribute to them.

Azure Charitable Enterprises

azure charitable enterprises

Cramlington

In recent years, our ability to generate funds from our charitable businesses has become increasingly important to our clients as budgets for the provision of care services (for our clients) have been progressively reduced (since 2009/10). Years of significant under funding (of Local Authorities across the country), coupled with rising demand and costs for care and support, have combined to push adult social care services to breaking point. Since 2010, Local Authorities have had to bridge a £6 billion funding shortfall just to keep the adult social care system going. In addition the Local Government Association estimates that adult social care services face a £3.5 billion funding gap by 2025, just to maintain existing standards of care, while latest figures show that councils in England receive 1.8 million new requests for adult social care a year – the equivalent of nearly 5,000 a day. Decades of failures to find a sustainable solution to how to pay for adult social care for the long-term, and the Government’s recent decision to delay (again) publication of its long-awaited green paper on the issue is increasingly problematic as political leaders (national and local) remain reluctant to discuss and inevitably determine that increases to income tax (e.g. 1p on basic rate income tax), and/or national insurance premiums (e.g. 1p increase) and/or council tax (e.g. 3%) are unavoidable and entirely necessary. While Azure is a non-political organisation, we are naturally concerned by the failure of policy-makers to grip what is, after all, a fairly rudimentary exercise in basic arithmetic. Moreover, from a practitioner perspective, the fragility of the system is illustrated most starkly by the number of care providers that are reluctantly closing their operations or returning contracts to Local Authorities with the result that there is significantly less choice and a lack of capacity to support the rising number of people with care needs. The Centre for Economics and Business Research have recently reported (December 2018) that 59% of the providers they surveyed (nationally) have said that they have had to hand back contracts over the past year and 68% have said they will need to do so in the near future. Service closures are obviously the last resort for any provider; and it is at odds with the way Azure and the majority of our fellow providers usually operate, particularly when we have supported individuals for the majority of their adult lives. It is, however, the clearest indication yet that the under funding of social care is having a deeply negative impact on providers and their ability to deliver critical support to vulnerable adults. We are indeed fortunate (to an extent) that the charitable businesses we operate - and public support for them – helps to sustain our care services. We are however concerned (and for many of our fellow care providers) that there is now: an untenable, over-reliance on the goodwill of an already-overstretched charity sector (that is already subsidising the delivery of care services); an entirely ill-advised presumption that the funding gap can be met by armies of unpaid or under-paid carers; an assumption that the approach to the delivery of care can be re-designed to balance budgets and deliver economies without having an adverse impact on the nature and level of care clients need.

iStudy UK

istudy uk

We understand more than anyone how important it is for you to get the right qualifications at the right time. We also understand that when you have a lot to do, you might not always have the time free to go to a place of study. That is why we created this site, so you can take all the time you need to learn more about your chosen topics as well as be able to do the whole thing from home. We believe in empowering people by offering them opportunities to expand and extend their knowledge and skill set as well as giving them the support they need to achieve great things. With thousands of courses available and a team who will do just about anything to help you, it is safe to say that you will not find a better course provider on the internet and so we would love to work with you to make sure that you get the best experience and best results out of your education. WHAT WE DO Here at iStudy we provide a range of online training courses for those who want to gain new skills, and qualifications and update their knowledge. iStudy training courses are delivered entirely online through our sophisticated student learning portal. The student learning portal is an online learning management system that allows students to study for their courses online. This innovative technology means there is no need to attend any classes or take time off work to study. Professionally accredited courses All our courses are delivered in partnership with nationally recognised awarding bodies so be assured that what you learn with us matters when it comes to achieving your career goals. Study that suits you You do not have to give up your job or your life to get a new qualification, you can learn anytime, anywhere.

Black's Academy

black's academy

London

AQA A level Mathematics 7357 AS level Mathematics 7356 GCSE higher level Mathematics 8300H GCSE foundation level Mathematics 8300F Edexcel A level Mathematics 9MA0 AS level Mathematics 8MA0 GCSE higher level Mathematics 1MA1H GCSE foundation level Mathematics 1MA1F OCR A level Mathematics H240 AS level Mathematics H230 GCSE higher level Mathematics J560 GCSE foundation level Mathematics Other courses IGCSE extended level Mathematics 0580 Scholastic Apititude Test (USA Exam) GED (USA Exam) All other exams Click on any of the above links to obtain free resources Book free diagnostic now blacksacademy symbol Director Peter Fekete Educational consultancy | Curriculum design | Courses for adults | Public speaking | Publications CONTACT a CONTENT OF THE REMOTE LEARNING SYSTEM * US GRADE 6 / UK GCSE GRADE 2–3 1. Addition and subtraction 2. Starting number sequences 3. Further number sequences part I 4. Multiplication to 8 x 8 5. Further number sequences part II 6. Multiplication to 12 x 12 7. Square numbers 8. Positive and negative numbers 9. Sums 10. Shapes and perimiters 11. Measurement and areas 12. Reading information 14. Understanding fractions 15. Decimals 16. Percentages 17. Long multiplication 18. Beginning algebra 19. Beginning probability 20. Beginning geometry 21. Properties of numbers 22. Telling the time 23. Geometry in three dimensions US GRADE 7 / UK GCSE GRADE 4 1. Deeper understanding of number 2. Combinations 3. Long division 4. Operations 5. Practical problems 6. Order and type of numbers 7. Measurement 8. Time and time management 9. Fractions 10. Organising information 11. Ratio and proportion 12. Probability 13. Angles 14. Visual reasoning 15. Bearings 16. Working in two dimensions 17. Working in three dimensions 18. Transformation geometry 19. Continuing algebra US GRADE 8 / UK GCSE GRADE 5–6 1. Patterns and pattern recognition 2. Lines, regions and inequalities 3. Mastering fractions 4. Types of number 5. More about triangles 6. Measurement and computation 7. Proportionality 8. Working with space 9. Indices 10. Further work with ratio 11. Investments 12. Further algebra 13. Quadrilaterals and polygons 14. Speed and displacement 15. Continuing with probability 16. Describing data US GRADE 9 / UK GCSE GRADE 6–7 1. Further proportionality 2. Congruency 3. The tricky aspects of algebra 4. Lines and equations 5. Basic formal algebra 6. Analysis and display of data 7. Graphing functions 8. Dimension and algebra 9. Algebraic fractions 10. Circle theorems 11. Algebraic factors 12. Simultaneous equations 13. Velocity and acceleration 14. Proportionality and scatter 15. Number puzzles US GRADE 10/ UK GCSE GRADE 7–8 1. Transpositions 2. Patterns and pattern recognition 3. Algebraic manipulations 4. Quadratics 5. Surds 6. Linear inequalities 7. Functions 8. Trigonometry 9. Systems of linear equations 10. Further presentation and analysis of data 11. Polynomial functions 12. Algebraic products 13. Finding roots 14. Intersection of lines and curves 15. Indices and index equations US GRADE 11/ UK GCSE GRADE 8–9 1. Completing the square 2. Venn diagrams 3. Coordinate geometry with straight lines 4. Further trigonometry 5. Transformations of curves 6. Modulus 7. Basic vectors 8. Quadratic inequalities 9. The quadratic discriminant 10. Arcs, sectors and segments 11. Circles, curves and lines 12. Probability and Venn diagrams 13. Functions, domains and inverses 14. Trigonometric functions 15. Recurrence relations 16. Further elementary vectors FREE LEGACY RESOURCES Business Studies, Economics, History, Mathematics, Philosophy, Sociology Business Studies PEOPLE AND ORGANISATIONS 1. Management structures and organisations 2. Leadership and management styles 3. Classical theory of motivation 4. Human relations school 5. Management by objectives 6. Workforce planning 7. Recruitment 8. Payment systems MARKETING 1. The economic problem 2. Money and exchange 3. Price determination 4. Determinants of demand 5. Market analysis 6. Marketing and the product life cycle 7. Objectives and marketing EXTERNAL INFLUENCES 1. Stakeholders 2. Business ethics 3. Market conditions 4. Business and the trade cycle 5. Business and technological change 6. Business and inflation 7. Business and exchange rates 8. Business and unemployment ACCOUNTING & FINANCE 1. Cash Flow Management 2. Costs, Profits & Breakeven Analysis 3. Budgeting & Variance Analysis 4. Sources of Finance 5. Profit & Loss Account 6. The Balance Sheet 7. Depreciation by the fixed-rate method 8. Reducing Balance Method 9. Stock Evaluation 10. Working Capital and Liquidity 11. Accounting Principles and Window Dressing 12. Costing and Management Accounting 13. Investors and the Corporate Life Cycle 14. Investment Appraisal: Average Rate of Return 15. Investment Appraisal: Payback Method 16. Investment Appraisal: Net Present Value 17. Investment Appraisal: Internal Rate of Return 18. Profitability Ratios 19. Liquidity Ratios 20. Efficiency and shareholder ratios 22. Gearing and Risk 23. Net Asset Value Economics MARKETS & MARKET FAILURE 1. The economic problem 2. Productive and allocative efficiency 3. Money and exchange 4. Price determination 5. The money market 6. Introduction to the labour market 7. The determinants of demand 8. Supply and elasticity of supply 9. Excess supply and excess capacity 10. Elasticity of demand 11. Market structures 12. Income and cross elasticity 13. Market failure 14. Factor immobility 15. Public and private goods 16. Merit and non-merit goods 17. Cost-benefit analysis 18. Competition policy 19. Market failure and government intervention History ANCIENT HISTORY 1. Prehistory of Greece 2. Mycenae, the Heroic Age c.1550—1125 BC 3. The Greek Middle Ages c.1125—c.700 BC 4. The Greek Tyrannies c. 650—510 BC 5. Sparta 6th and 7th centuries BC 6. Athens and Solon 7. The early inhabitants of Italy 8. The Etruscans 9. Early Roman History up to Tarquin GERMANY & EUROPE 1870—1939 1. Social Change from 1870 to 1914 2. Socialism in Europe 1870 to 1914 3. The Balance of Power in Europe 1870 4. Anti Semitism in Europe 1870 to 1914 5. The Structure of Wilhelmine Germany 6. Bismarck and the Alliance System 7. Weltpolitik 8. Colonial Rivalries 9. First and Second Moroccan Crises 10. The First World War triggers 11. The Causes of the First World War 12. Germany and the First World War 13. Military history of the First World War 14. The Treaty of Versailles 15. The Domestic Impact of the First World War 16. The German Revolution 17. The Weimar Republic 18. The Early Years of the Nazi Party 19. The Rise of the Nazi Party 20. The Establishment of the Nazi Dictatorship 21. Nazi Rule in Germany 1934 to 1939 22. The Economics of the Third Reich 23. Appeasement RUSSIA & EUROPE 1855—1953 1. Alexander II and the Great Reforms 2. Imperial Russia under Alexander III 3. Nicholas II and the 1905 revolution 4. Social and economic developments in Russia 5. Russia: the Great war and collapse of Tsarism 6. Provisonal Government & October Revolution 7. The Era of Lenin 8. The Development of Lenin's Thought 9. New Economic Policy and the Rise of Stalin 10. Stalin and the Soviet Union 1924 to 1953 11. Stalin and the Soviet Economy 12. Stalin and International Relations BRITAIN 1914—1936 1. The Great War and Britain 1914—15 2. Britain during the Great War, 1915—16 3. Lloyd George & the Great War, 1916—1918 4. Great Britain after the War, 1918—22 5. British Politics, 1922—25 6. Class Conflict & the National Strike, 1926 7. Britain & International Relations, 1925—29 8. Social Trends in Britain during the 1920s 9. Social Issues during the late 1920s 10. British Politics 1926—29; Election of 1929 11. Britain — the crisis of 1929 12. The Labour Government of 1929—31 13. Britain and economic affairs, 1931—33 14. Britain and Foreign Affairs, 1931—36 15. Social Conditions in Britain during the 1930s Advanced level Mathematics ALGEBRA & GEOMETRY 1. Simultaneous Equations 2. Polynomial Algebra 3. Cartesian Coordinates 4. The equation of the straight line 5. Intersection of lines and curves 6. Remainder and Factor Theorems 7. Functions 8. Quadratic Inequalities 9. Graphs of Inequalities 10. Indices 11. Polynomial Division 12. Velocity-Time Graphs 13. Tally Charts 14. Absolute and relative errors 15. Sequences and Series 16. Arithmetic Progressions 17. Proof by Contradiction 18. Geometric Progressions 19. The Cartesian Equation of the Circle 20. Transformations of graphs 21. Plane Trigonometry 22. Modulus 23. Trigonometric Functions 24. Inverse Trigonometric Functions 25. Linear Inequalities 26. Proportionality 27. Probability 28. Surds 29. Special Triangles 30. Quadratic Polynomials 31. Roots & Coefficients of Quadratics 32. Radian measure 33. Permutations and Combinations 34. Set Theory and Venn Diagrams 35. Sine and cosine rules 36. Elementary Trigonometric Identities 37. Roots and curve sketching 38. Graphs and roots of equations 39. Picards Method 40. Small Angle Approximations 41. Simultaneous equations in three unknowns 42. Linear relations and experimental laws 43. Conditional Probability 44. Pascal's Triangle and the Binomial Theorem 45. Index Equations and Logarithms 46. The Binomial Theorem for Rational Indices 47. Exponential Growth and Decay 48. Exponential and Natural Logarithm 49. Compound Angle Formulas 50. Sinusoidal functions 51. Vector Algebra 52. The Vector Equation of the Straight Line 53. The Scalar Product of Vectors 54. Axiom Systems 55. Introduction to Complex Numbers 56. The algebra of complex numbers 57. Complex Numbers and the Argand plane 58. De Moivres Theorem 59. Eulers formula 60. Further loci of complex numbers 61. Further graph sketching 62. Mathematical Induction 63. Proof of the Binomial Theorem 64. Polar Coordinates 65. Conic sections 66. Partial Fractions 67. First-order linear recurrence relations 68. Summation finite series with standard results 69. Method of differences 70. Trigonometric Equations 72. Series Expansion 73. Lagrange Interpolating Polynomial 74. Error in an interpolating polynomial 75. Abelian groups 76. Geometrical uses of complex numbers 77. Cyclic Groups 78. The Cayley-Hamilton Theorem 2x2 Matrices 79. Cayley Theorem 80. Determinants 81. Isomorphisms 82. Lagrange theorem 83. Properties of groups 84. Group structure 85. Subgroups 86. Homomorphisms 87. Matrix Algebra 88. Determinant and Inverse of a 2x2 matrix 89. Gaussian elimination 90. Matrix representation of Fibonacci numbers 91. Matrix groups 92. Inverse of a 3 x 3 Matrix 93. Singular and non-singular matrices 94. Properties of Matrix Multiplication 95. Induction in Matrix Algebra 96. Properties of Determinants 97. Permutation groups 98. First Isomorphism Theorem for Groups 99. Roots of Polynomials of Degree 3 100. Scalar Triple Product 101. Systems of Linear Equations 102. Matrix Transformations 103. Mappings of complex numbers 104. Cross product of two vectors 105. Vector planes 106. Eigenvalues and Eigenvectors CALCULUS 1. Introduction to the Differential Calculus 2. Stationary points and curve sketching 3. Applications of Differentiation 4. Differentiation from First Principles 5. The Trapezium Method 6. Integration 7. Direct Integration 8. Applications of integration to find areas 9. Graphs of Rational Functions 10. Derivatives of sine and cosine 11. Products, Chains and Quotients 12. Volumes of Revolution 13. Exponential and Logarithmic Functions 14. Integration by Parts 15. Parametric Equations 16. The Integral of 1/x 17. Integration by Substitution 18. Implicit Differentiation 19. Formation of a differential equation 20. Separation of variables 21. Integrals of squares of trig functions 22. Maclaurin Series 23. Techniques of Integration 24. Integrating Factor 25. The Newton-Raphson formula 26. Errors in Numerical Processes 27. Roots and Recurrence Relations 28. Derivatives of Inverse Trig. Functions 29. Second order homogeneous equations 30. Second order inhomogeneous equations 31. Implicit differentiation — second derivative 32. Integrands to inverse trigonometric functions 33. Integrands to logarithmic function 34. Integration of Partial Fractions 35. Logarithms and Implicit Differentiation 36. Implicit differentiation and MaClaurin series 37. Separation of variables by substitution 38. Trigonometric Substitutions for Integrals 39. Truncation Errors 40. Euler and Trapezoidal Method 41. Numerical methods for differential equations 42. Simpson Method 43. Proof of Simpson Formula 44. Richardson Extrapolation 45. Arc length of a curve in Cartesian coordinates 46. Arc length of a curve in Polar coordinates 47. Arc length of a curve: Parametric form 48. Curves in Euclidean space 49. Functions and continuity 50. The gradient of a scalar field 51. The derivatives of the hyperbolic functions 52. Hyperbolic Functions 53. Inverse Hyperbolic Functions 54. Hyperbolic Identities 55. Integrals with inverse hyperbolic functions 56. Reduction formulae 57. Simultaneous differential equations 58. Surface of Revolution 59. Vector differential calculus 60. Scalar Fields and Vector Functions STATISTICS & PROBABILITY 1. Central Tendency: Mean, Median and Mode 2. Standard Deviation 3. Cumulative Frequency 4. Discrete Random Variables 5. Mutually exclusive and independent events 6. The Binomial Distribution 7. The Normal Distribution 8. Standardised Normal Distribution 9. Regression Lines 10. Correlation 11. The Geometric Distribution 12. Hypothesis Testing — Binomial Distribution 13. Index Numbers 14. Time Series Analysis 15. Bayes Theorem 16. Confidence interval mean — known variance 17. The Central Limit Theorem 18. Pearsons product moment correlation 19. Spearmans Rank Correlation Coefficient 20. Hypothesis Testing — Normal Distribution 21. The Poisson Distribution 22. The Normal Approximation to the Binomial 23. The Normal Approximation to the Poisson 24. The Poisson Approximation to the Binomial 25. Type I and type II errors 26. Scalar multiples of a Poisson variable 27. Test for the Mean of a Poisson distribution 28. Random Number Sampling 29. Estimating Population Parameters 30. Random Samples and Sampling Techniques 31. The Concept of a Statistic 32. Hypothesis test for the population variance 33. Central Concepts in Statistics 34. Continuous Probability Distributions 35. Modeling: Chi squared goodness of fit 36. Chi squared test for independence 37. Degrees of Freedom 38. Difference Sample Means Unknown Variance 39. Moment generating functions 40. Probability generating functions 41. Linear Combinations of Random Variables 42. Maximum Likelihood Estimators 43. Wilcoxon signed rank test on median 44. Non-parametric significance tests 45. Single-sample sign test of population median 46. Paired-sample sign test on medians 47. Paired sample t-test for related data 48. Paired sample Wilcoxon signed rank test 49. Difference of two sample means 50. Pooled sample estimate 51. Testing the Sample Mean 52. The Uniform Distribution MECHANICS 1. Velocity-Time and Displacement-Time Graphs 2. Force diagrams 3. Representation of Forces by Vectors 4. Static Equilibrium 5. Equilibrium of coplanar forces 6. Weight and Free Fall 7. Normal Reaction and Friction 8. Newtons First and Second Laws 9. Relative Motion 10. Projectiles 11. Calculus and Kinematics 12. Motion of a Particle: Vector calculus form 13. Work 14. Energy Conversions 15. Gravitational potential and kinetic energy 16. Connected Particles 17. Moments 18. Linear momentum 19. Power 20. Hookes Law 21. Simple Harmonic Motion 22. Simple Harmonic Motion and Springs 23. Calculus, Kinematics in Three Dimensions 24. Sliding, toppling and suspending 25. Impulsive Tensions in Strings 26. Angular Velocity 27. Motion in a Horizontal Circle 28. Centre of Mass of a Uniform Lamina 29. Motion in a Vertical Circle 30. Motion under a Variable Force 31. Conservation of Angular Momentum 32. Centre of Mass of a Composite Body 33. Motion under a central force 34. Centre of Mass of a Uniform Lamina 35. Centre of Mass Uniform Solid of Revolution 36. Equilibrium of Rigid Bodies in Contact 37. Damped Harmonic Motion 38. Moment of Inertia 39. Impulse, elastic collisions in one dimension 40. Parallel and Perpendicular Axis Theorems 41. Motion described in polar coordinates 42. Simple pendulum 43. Compound pendulum 44. Stability and Oscillations 45. Vector calculus 46. Linear Motion of a Body of Variable Mass DISCRETE & DECISION 1. Algorithms 2. Introduction to graph theory 3. Dijkstra algorithm 4. Sorting Algorithms 5. Critical Path Analysis 6. Dynamic Programming 7. Decision Trees 8. The Maximal Flow Problem 9. The Hungarian algorithm 10. Introduction to Linear Programming 11. Simplex Method 12. Matching Problems 13. Game Theory 14. Minimum connector problem 15. Recurrence relations 16. Proofs for linear recurrence relations 17. Simulation by Monte Carlo Methods 18. Travelling and Optimal Salesperson Problems 19. The Travelling Salesperson Problem Philosophy INTRODUCTION TO PHILOSOPHY 1. The problem of evil 2. Introduction to Plato 3. Knowledge, belief and justification 4. Descartes Meditation I 5. Introduction to the problem of universals 6. Introduction to metaethics 7. Subjectivism versus objectivism 8. Aristotle's function argument 9. Natural Law Theory 10. Utilitarianism 11. The Nicomachaen Ethics of Aristotle 12. Virtue Ethics 13. Descartes Meditation II 14. Hume and empiricism 15. The paradox of induction 16. Hume's attack on Descartes 17. The Cosmological Argument 18. The Ontological Argument 19. The Teleological Argument 20. The Argument from religious experience 21. The Moral Argument 22. The argument from illusion 23. Materialism 24. Human Identity Sociology PERSPECTIVES & METHODOLOGY 1. Introduction to Marxism 2. Introduction to Durkheim 3. Weber: classes, status groups and parties 4. Introduction to patriarchy and gender roles 5. Mass culture theory 6. The Frankfurt school STRATIFICATION & DIVERSITY 1. Ethnic groups and discrimination 2. Race, Ethnicity and Nationalism 3. Social Inequality 4. Theories of Racism 5. Class structure 6. Modern Functionalism and Stratification 7. Social Mobility 8. Bottomore: Classes in Modern Britain 9. American exceptionalism ASPECTS OF SOCIETY 1. Definitions of Poverty 2. Theories of Poverty 3. Solutions to Poverty 4. Alienation 5. Leisure 6. Work and Technological Change 7. Conflict and Cooperation at Work 8. Attitudes to Work 9. Unemployment 10. Perspectives on Education 11. Education and Ethnicity 12. Education and Gender 13. The Family and Social Structure 14. The Family and Household Structure 15. Conjugal Roles 16. Marital Breakdown 17. Post War Education in Britain 18. British Social Policy 1945—1990