12319 Teaching & Training courses in West Bromwich delivered Online

Train the Trainer, Trainer Development,

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Are you currently employed as a teacher and want to enhance your existing teaching skills?  No Previous Experience Needed Available to individuals from all backgrounds, regardless of their previous work experience Unlimited Tutor Support With endless support from an expert tutor, learning has never been simpler Recognised Qualification Ofqual regulation and NCFE accreditation make this course a highly reputable qualification in the industry Interest Free Instalment Plan Pay in 12 interest-free instalments and spread the cost of your purchase over time Fast Track Accelerate your success and start your rewarding career faster with the fast track program Exam Pass Guarantee We are committed to your success and will work closely with you to ensure your success in the exam You are at the right place! This comprehensive Level 4 Certificate in Education and Training Course will equip you with the required skills to work as a teacher in the UK. This education and training certification is a nationally recognized credential for teaching in the field of lifelong learning and will assist you in pursuing further study and becoming a qualified teacher. Course Highlights Course Type: Online Learning Guided Learning Hours (GLH): 140 Hours Accreditation: NCFE Qualification: Ofqual Regulated Access: 1 Year Access Certificate: Certificate upon completion (hard copy) Tutor Support- Personalised feedback on your all assignments Customer Support: 24/7 live chat available Level 4 Certificate in Education and Training This Certificate in Education and Training Level 4 Course will equip you with the necessary training and credentials to demonstrate your knowledge in the teaching profession. NCFE accredits and Ofqual regulates this course, which enhances your resume as a nationally recognised qualification. Upon successful completion of this course, you will gain extensive teaching skills and knowledge to evaluate, create resources, and assist students in reaching their full potential.  Who should take this course? This extensive online course is suitable for:  Aspiring teachers Teachers of any level Teacher trainers Teachers seeking to enhance their teaching skills Teachers looking to improve their job prospects Whether you are a newbie into the field of teaching or an aspiring professional looking to enhance and upskill your CV that meets the demand of any requirement needed to apply to any job, this course will help you to stand out among others and seek promotion. Entry Requirements This Level 4 Award in Education and Training Course is available to all students, of all academic backgrounds, and no experience or previous qualifications are required.  Before pursuing level 4 education and training, individuals are not required to have completed level 3 education and training. Assessment structureAssignment Students must complete a number of brief assignments for each section of the award. These assessments are designed to assess you in accordance with the following guidelines: Submit short assignments for each module Assignments should include theory, relevant to real-world workplaces and relate to actual teaching situations. These assignments will aid in your exploration and application of the entire teaching and learning cycle. Teaching Assessment You will also be required to submit a teaching assessment that is designed to assess you in accordance with the following guidelines: There must be at least three observations, totalling a minimum of three hours, excluding the observation practice completed as part of Level 3 Education and Training (if taken). Each observation must last at least thirty minutes. A teacher with the appropriate credentials should complete this witness testimony. To complete these observations, we may also, in exceptional cases, arrange a video link with your tutor. For this training, there is no prerequisite in terms of prior experience. To get your completion certificate, however, you must complete 30 hours of classroom teaching experience and provide a teaching record and documentation proving you've taught in a classroom. You have to make a record of all the observations in the provided teaching log. You will need to find an expert witness with a level 5 diploma in education and training to observe your practical teaching demonstration. If you prefer, we can help you by providing an expert witness for an additional fee of £175 + VAT for 3 hours. Learning Outcomes By the end of this course, you will: Recognise the duties and role of teaching in education and training Discover how to maintain a supportive and secure learning environment Discover the connections between teachers and other training and education professionals Understand how to organise and incorporate inclusive instruction and learning in accordance with needs both inside and outside the organisation Learn how to evaluate your own performance when preparing for inclusive teaching and learning Understand how to interact with students and other learning specialists to advance learning Know how to employ various assessment methods and techniques to fulfil the needs of various learners, and use the minimum core when evaluating students Learners who achieve this qualification could progress to: Level 5 Diploma in Education and Training Course Curriculum Course Overview Course Overview - Level 4 Certificate in Education and Training Preface Preface Introduction Introduction 1. Reflecting, evaluating and improving your practice 1. Reflecting, evaluating and improving your practice 2. Professional roles and responsibilities 2. Professional roles and responsibilities 3. You and your learners mental health and emotional well-being 3. You and your learners mental health and emotional well-being 4. Learners and their needs 4. Learners and their needs 5. Assessment practices and processes 5. Assessment practices and processes 6. Communication 6. Communication 7. Inclusive learning environments 7. Inclusive learning environments 8. Planning and Delivery 8. Planning and Delivery 9. Teaching practice and observations 9. Teaching practice and observations 10. Progression routes 10. Progression routes 11. Study skills 11. Study skills Glossary of acronyms Glossary of acronyms Appendix Appendix Answers to Activities Answers to Activities Index Index Assignment 1: Understanding Roles, Responsibilities and Relationships in Education and Training Assignment 1 - Understanding Roles, Responsibilities and Relationships in Education and Training Assignment 2: Planning to Meet the Needs of Learners in Education and Training Assignment 2 - Planning to Meet the Needs of Learners in Education and Training Assignment 3: Delivering Education and Training Assignment 3 - Delivering Education and Training Assignment 4: Assessing Learners in Education and Training Assignment 4 - Assessing Learners in Education and Training Assignment 5: Using Resources for Education and Training Assignment 5 - Using Resources for Education and Training Assignment 6: Working with Individual Learners Assignment 6 - Working with Individual Learners Recognised Accreditation This Level 4 Certificate in Education and Training Course is independently accredited by NCFE and regulated by Ofqual. It is a nationally recognised qualification that will help you pave your path to higher education and fulfil the entry requirements of any skilled-oriented job. About NCFE The National Council for Educational Awarding (NCFE) is a national educational awarding organisation that creates, develops, and accredits a range of widely accepted qualifications and awards, including those for online courses. The NCFE Functional Skills certificate is the best option for students who want to gain useful, transferable skills that will enable them to function freely, with self-assurance, and effectively in the real world. Certificate of Achievement Upon successful completion of this Level 3 Award in Education and Training Course and passing the internal assessments, and practical teaching assessments, you will be awarded the qualification: NCFE Level 4 Certificate in Education and Training which is valued by all employers in the UK and globally.  FAQs What is a level 4 certificate in education and training equivalent to in the UK? Level 4 qualifications are regarded as advanced learning and are equivalent to the first year of a bachelor's degree. What can I do with a Level 4 diploma in education and training? You can advance to further vocational study and earn a Bachelor of Arts in Education or a BA in Education (BEd). Besides these progression opportunities, you can also enhance your resume and increase your chances of getting hired. Do I have to conduct my practical evaluation in a real classroom or workplace? For the Level 4 Certificate in Education and Training qualification, you must be seen teaching in an actual classroom; simulation is not allowed, and your observations must be conducted in an actual classroom. Who should complete the course's observations for the practical evaluation? This witness testimony must be provided by an expert with a Level 4 Certificate in Education and Training. For an additional charge of £175 + VAT for 4 hours, if you'd prefer, we can also assist you by providing an expert witness. How is this course assessed? The course is evaluated through the submission of three observations of your teaching in a classroom environment and writing assignments based on the course's sections. You will also be required to provide an evidence log showing that you have completed at least 30 hours of teaching. Can I submit my assignment again? Your instructor will provide feedback and the option to resubmit assignments if additional work is required. How can I produce evidence to support my lessons? The teaching session must be recorded using a smartphone, tablet, or other camera device and uploaded to your web portal in order to be graded. In addition to that, you must also provide product evidence such as lesson plans, teaching materials, and other related paperwork How much time will it take to complete this course? For the supervised study, 140 hours are allotted. However, the total amount of time we anticipate you to spend on this award, including all the research and writing tasks is 360 hours. These hours can be distributed in any way you desire as you have the choice to complete the course whenever it's convenient for you over the course of a year. Should I obtain the level 3 award before taking this course? It is not necessary to have finished the level 3 award in education and training before enrolling in this course. Will this course qualify me for the Qualified Teacher Status (QTLS)? No, this course will not qualify you for the QTLS. But you can take the Level 5 Diploma in Education and Training which will provide you with the opportunity and skills to apply for QTLS. For how long can I access this course? You have a year to access this course, so you can complete it at your own pace and convenience. Do I have to finish the 30 hours of teaching before I sign up for this course? There is no prerequisite in terms of prior knowledge for this training. However, you must complete 30 hours of classroom teaching experience throughout the course to receive your completion certificate. Can I use a smartphone or a tablet to study? With no time limit on completion, our online courses are accessible for life. If there is a safe internet connection, every course is fully accessible from a tablet, phone, or laptop. What will I receive once the course is over? You will be able to order the NCFE-recognised Level 4 Certificate in Education and Training, which is governed by Ofqual, after completing the assignments and the teaching assessment. What is the difference between Level 3, Level 4 and Level 5 Education and training? Education and training levels differ in the depth of knowledge and skills acquired. Level 3 is foundational, Level 4 is subject-specific, and Level 5 is for higher expertise. Completing Level 5 can lead to Qualified Teacher Learning and Skills status. To be able to teach Level 2, one must undertake Level 3; for both Level 2 and 3, Level 4 must be completed; and for all three levels, one must take Level 5. What is the difference between QTS and QTLS? QTS is for teaching up to age 16, while QTLS covers beyond that. QTS is necessary for teaching young students, while QTLS is ideal for teaching at a higher education level. QTS requires an intensive course with work practice, while QTLS requires sector competence and 100 hours of teaching experience.

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Oxbridge's A-Level Sociology course is designed for inquisitive minds who delight in rich conversations, contentious ideas, and exploration of social themes. This course will offer a nuanced perspective of society, diving into its complex layers. Sociology is an exciting discipline, laden with intellectual challenges and provocative theories. Gaining popularity among learners striving to comprehend the social universe, this course explores key areas such as philosophy and ethics. Renowned universities and employers recognise the A-Level Sociology qualification, appreciating the valuable skills and personal qualities it fosters. The course presents a host of sociological theories, prompting you to apply your experiences and knowledge to evaluate their validity. Your exploration of personal identity and societal roles form a crucial part of this journey. Sociology, besides being a respected academic subject, forms a core component of diverse fields such as business studies, medical training, geography, environmental science, and sports and health sciences. Achieving an A-Level in Sociology indicates a profound understanding of the subject, enhancing your career opportunities and opening new doors. A-Levels are considered a hallmark of educational excellence in the UK. Our home study course aligns with the latest AQA A-Level Sociology syllabus, tailored specifically for flexible, online learning. We provide unlimited tutor support, clear instructions, and well-designed assignments to equip you for your examination. If you're based in the UK, we guarantee access to one of our exam centres for your final A-Level exams. Benefits include: A freshly designed course, resonating with the latest specifications and rich, engaging content. A fast track option for exams in 2022. Access to a network of partner exam centres for a guaranteed exam venue. Unlimited Tutor Support- we’ll guide you in crafting a study plan and offer continuous support. Our unique exam pass guarantee (If you don’t pass the first time, we’ll back you up for the next attempt).  About the awarding body Awarding body: AQA Our course code: X916 Qualification code: 7192 AQA qualifications, recognised and taught globally in 30 countries, are highly valued by employers and universities. They pave the way for young people to advance to the next life stage. AQA offers a range of qualifications suitable for diverse abilities, including GCSEs, IGCSEs, and A-levels. ⏱ Expected Study Hours Anticipate between 250 and 300 hours of study, in addition to assignment completion. 👩‍🏫 Study Approach Our course is delivered via an interactive online learning platform, designed to create a dynamic learning experience. If you prefer, printable learning materials are available. Our learning resources comprise diverse media including videos, quizzes, and interactive activities. 📆 Course Duration The course spans up to 24 months from enrolment. Your login details for the MyOxbridge portal will grant you access to your learning materials. 📋 Assessment Enrol now for Summer 2022 exams. Official exams Each exam is 2 hours long, accounting for 33.3% of total marks. We provide a guaranteed exam space at one of our UK centres. Our unique exam pass guarantee means we'll support you for free for your next attempt if you don’t pass the first time. Assignments Throughout your course, you’ll complete various assignments. Though these do not contribute towards your final grade, they offer an opportunity for your tutor to assess and provide feedback, helping to track your progress and generate predicted grades if necessary. 👩‍🎓 Course Outcomes Upon successful completion of this home learning course, you will be awarded an A-Level in Sociology by AQA. Your certificate will be identical to those issued to students at other educational institutions. We've chosen this syllabus specifically because we believe it is the best fit for online learning and offers the best chance of success. ℹ️ Additional Information Difficulty - Level 3 Recommended Entry Requirements - GCSE or equivalent in English, history, or a social science. UCAS Points - 56 Course Content Key themes covered include integral elements of sociology, education with methods in context, families and households, theories and methods, the media, and crime and deviance. Dive into important sociological theories, explore socialisation, delve into the structural elements of education, define different types of families, gain insights into research methods, examine the role of media in society, and study crime, deviance, social order, and social control.

Unleash the potential of your mind with this awe-inspiring journey into the realm of psychology. Embark on an exploration of the enigmatic human brain, the epicentre of our thoughts, emotions and behaviours. This comprehensive A-Level Psychology Course is your pathway to understanding the rapidly-evolving science of the mind, and its critical role in the functioning of our society. Discover diverse dimensions of psychology, and their intricate interconnections. Through the course, you will master transferable skills of analysis, evaluation, and critical thinking, arming you with a scientific understanding of the human psyche. Intrigued by the complexity of human behaviour? This course is your gateway to the intriguing world of psychology. A-Levels hold a coveted position in the UK education system, widely recognised by universities and employers as an emblem of significant accomplishment. Securing an A-Level not only demonstrates in-depth understanding of a subject but also enhances your career prospects and unlocks new opportunities. Crafted according to the latest specifications, our A-Level Psychology course ensures you are poised for success. With a well-structured curriculum, guided by clear instructions and engaging assignments, you'll acquire the knowledge and skills required for the examination. Key Features: 💡 Cutting-edge course content, crafted according to the latest specifications 🚀 Fast-track option available (for exams in 2022) 🎯 Access to a network of partner exam centres (guaranteed exam venue) 👩‍🏫 Unlimited tutor support – comprehensive study plan and constant support 🎯 Exam pass guarantee (Get our support until you clear the exam) Delve into the fascinating science of the mind. Unearth the intricate workings of the human brain, the organ that governs our every perception and sensation. Embark on a journey into the realm of […] About the awarding body Awarding body: AQA Our course code: X915 Qualification code: 7182 AQA qualifications are globally recognised and delivered in 30 countries, treasured by employers and universities, empowering learners to advance to the subsequent phase of their journey. The suite of AQA qualifications caters to a wide range of abilities, encompassing GCSEs, IGCSEs, and A-levels. ⏱ Study Hours: Allocate between 250 and 300 hours of study time, with additional time for completing assignments. 👩‍🏫 Study Method: The course is delivered via our dynamic online learning platform. Don't fret if you prefer hard copies, the learning materials can be printed. The resources are available in various formats including videos, quizzes, and interactive activities. 📆 Course Duration: Enjoy unlimited tutor support for up to 24 months from the date of enrolment. You will receive your logins to our MyOxbridge portal where your learning materials are accessible. 📋 Assessment: Enrolments are for exams in Summer 2022.  Complete the standard written exams, each lasting 2 hours and worth 33.3% of marks. We ensure a guaranteed exam space in one of our centres nationwide, eliminating the hassle of finding your own. Check your nearest exam centre. Throughout your course, tutor-marked assignments (TMAs) are required. These do not impact your final grade but provide a chance to receive marking and feedback from your tutor, helping gauge your progress. 👩‍🎓 Course Outcomes: Upon successful completion, you will receive an A-Level in Psychology, issued by AQA, identical to that issued to students at other schools, colleges or universities. This syllabus has been carefully selected as it is best suited to distance learning.  ℹ️ Additional Information: Difficulty - Level 3 Entry Requirements - A science GCSE or equivalent, preferably in biology, is highly recommended. You should also be at ease with dealing with numbers. UCAS Points - 56 Course Content: Immerse yourself in a rich tapestry of subjects, including Social Influence, Memory, Attachment, Psychopathology, Approaches in Psychology, and Biopsychology. You'll delve into topics like conformity, memory models, infant interactions, mental disorders, different learning approaches, and the central nervous system, offering a well-rounded understanding of the human mind and behaviour.

In today's media-flooded world, economic insights fill our screens. This A-Level Economics course allows you to grasp a deeper understanding of these discussions, becoming an ever-popular choice for those with aspirations in various sectors. This A-Level Economics course immerses you in dissecting economic issues, evaluating economic data, and articulating coherent ideas and judgements. Your learning journey culminates in an invaluable foundation for future endeavours in finance, banking, or governance.  Our Economics A-Level deepens your understanding of the global impact of Economics and the market economy's role in shaping policy, both domestically and internationally. A comprehensive exploration of the European Union will further prepare A-Level Economics learners for a plethora of career opportunities.  A-Levels are UK education's golden standard 🥇, recognised by universities and employers alike as a testament to notable accomplishment. Your A-Level demonstrates a thorough understanding of a subject, boosting your career prospects and unlocking new opportunities. Our A-Level Economics course, mapped to the latest specifications, offers you the best chance of success.  The course package equips you with everything needed for success: a clear induction, well-structured assignments, and the following benefits: A brand new course, written to the latest specification with dynamic and engaging content Fast track option for exams in 2022 🏎️ Access to a network of partnership exam centres (guaranteed exam venue) 📍 Unlimited tutor support throughout the course 🎓 Exam pass guarantee 🎖️ About the awarding body Awarding body: AQA Our course code: X914 Qualification code: 7136 Awarding body: AQA, recognised globally, taught in 30 countries, and highly esteemed by employers and universities.  ⏱ Study Hours Anticipate between 250 and 300 hours of study time, plus additional time for completing assignments.  👩‍🏫 Study Method Delivered via our online learning platform, the course offers dynamic and engaging materials. If you prefer, you can print your own learning materials. Resources come in various formats including videos, quizzes, and interactive activities. 📆 Course Duration Enjoy unlimited tutor support for up to 24 months post-enrolment. You'll receive login details for MyOxbridge, housing all your learning materials. 📚 Assessment  Registration is currently open for summer 2022 examinations.  The assessment involves three standard written exams: Standardised Exams - Each lasting for 2 hours, each contributing to 33.3% of your final score. We ensure a hassle-free examination experience by providing guaranteed exam spaces in various centres across the nation. Explore the nearest exam centre to you. 📋 Assignments Throughout the course, you'll need to complete assignments marked by your tutor (TMAs). Though these assignments don't contribute to your final grade, they offer an excellent opportunity to get feedback and monitor your progress as you traverse the course. 🎓 Course Outcomes Upon successful completion of this self-paced learning course, you will earn an A-Level in Economics, certified by AQA. We've opted for this specific syllabus due to its suitability for distance learning. Rest assured, your certificate holds the same credibility as those issued by any other educational institution. ℹ️ Further Information Level of Difficulty - Level 3 Entrance prerequisites - A GCSE or an equivalent qualification in economics or mathematics is advisable for this course. UCAS Points - 56 Course Contents 1. Individuals, Firms, Markets, and Market Failure In the initial phase of the course, delve into the dynamics of markets and market failure. Explore price determination in a competitive marketplace, aspects impacting production, costs, and revenue, and get a glimpse of the national economy from a global perspective. Investigate competitive and concentrated markets, governmental interventions, and the management of macroeconomic performance. 2. The National and International Economy The latter part of the course focuses on economic methodology, the economic dilemma, and the impact of individual economic decisions. Examine the labour market, the uneven distribution of wealth leading to issues like poverty and inequality. Furthermore, study the national and international economy, the circular flow of income, AD/AS analysis, financial markets, and monetary policy. Lastly, delve into fiscal policy and supply-side policies.

Embark on an invigorating intellectual journey with this A-Level Maths course, meticulously crafted to imbibe the nuances of advanced mathematics. Delve into topics such as forces, probability, algebra, and vectors, honing your expertise while bolstering your critical thinking and analytical prowess. In the realm of UK education, A-levels stand as a testament to significant educational accomplishment. Our A-Level Maths course epitomises this, enhancing your appeal to both universities and employers while paving the way to a world of exciting opportunities. Adhering to the fresh AQA A-Level Maths syllabus, this online home study course is constructed to dovetail with your convenience, enabling you to learn at your own pace. Our comprehensive support system includes unlimited tutor assistance, a systematic induction, and well-structured assignments, preparing you efficiently for the exams. We ensure your access to our partnered exam centres for your final A-Level examinations. With our course, you'll have access to: Cutting-edge course content, shaped according to the latest specification. A Fast track option (for exams in 2022). A network of partnership exam centres. Unlimited tutor support and an exam pass guarantee. Awarding body: AQA Course code: X901 Qualification code: 7357 AQA qualifications enjoy international recognition, being taught in 30 countries and prized by employers and universities alike. These qualifications accommodate a wide range of abilities, encompassing GCSEs, IGCSEs, and A-levels. ⏱ Estimated Study Time Allocate between 300 and 360 hours for study, along with additional time for assignments. 👩‍🏫 Learning Methodology Our course is delivered via an immersive online learning platform, complete with diverse media resources like videos. However, if you prefer a more traditional approach, you can print the learning materials. 📆 Course Duration Enrol and benefit from our unlimited tutor support for up to 24 months. Upon enrolment, you will receive access to MyOxbridge, where all your learning materials are housed. 📋 Evaluation Examinations start from Summer 2022.  You will be evaluated on three written exams: Paper 1: 2 hours, 33.3% of A-Level, 100 marks. Paper 2: 2 hours, 33.3% of A-Level, 100 marks. Paper 3: 2 hours, 33.3% of A-Level, 100 marks. The exams will consist of a range of question types, from single-mark questions to multi-step problems. Our students are provided with a guaranteed exam space and an exam pass guarantee. Assignments The course includes several assignments. Though not contributing to your final grade, they allow you to receive feedback from your tutor, helping you track your progress. 👩‍🎓 Course Outcomes Upon successful course completion, you will receive an AQA-issued A-Level in Maths. This certificate mirrors those awarded to students at any other educational institution.  ℹ️ Further Details Difficulty - Level 3 Entry requirements - A GCSE or equivalent level in Mathematics is strongly advised. UCAS Points - 56 Course Content Core Content Mathematical argument, language, and proof Mathematical problem solving Mathematical modelling Proof Algebra and functions Coordinate geometry in the (x,y) plane Sequences and series Trigonometry Exponentials and logarithms Differentiation Integration Numerical methods Vectors Statistical sampling Data presentation and interpretation Probability Statistical distributions Statistical hypothesis testing Quantities and units in mechanics Kinematics Forces and Newton’s laws Moments

Is the thrill of solving mathematical conundrums your thing? Are you adept at distinguishing between polar coordinates and hyperbolic functions, or vectors and matrices? If so, our Edexcel accredited Further Mathematics A-Level online course beckons you. With unwavering support from your personal tutor, you'll develop the ability to construct and present mathematical arguments via diagrams, graphs, and symbols. Moreover, you'll refine your understanding of modelling assumptions, conquer quadratic equations with real coefficients, and broaden your mathematical horizons. Course Benefits: Get access to a new course aligned with the latest specifications, enriched with interactive and engaging content Avail of the Fast track option for exams in 2022 Access to partnership exam centres, ensuring a guaranteed exam venue Unlimited tutor support to help craft a study plan and assist throughout your learning journey Exam pass guarantee (we've got your back for the next exam if you don’t pass the first time). Awarding Body: The Edexcel, our awarding body, is the UK's largest awarding organisation that has been helping individuals achieve academic and vocational qualifications in schools, colleges, and workplaces in the UK and beyond for nearly two decades. Course code: X922 Qualification code: 9FMO Official Qualification Title: Further Maths A-Level ⏱ Study Hours: Allocate between 300 and 360 hours of study time, plus additional time for completing assignments. 👩‍🏫 Study Method: Experience a dynamic and engaging learning process via our online learning platform. If needed, the learning resources, which include videos, quizzes, and interactive activities, can be printed for offline study. 📆 Course Duration: The course will span up to 24 months from the date of enrolment. All your learning materials will be accessible on our MyOxbridge portal. 📋 Assessment: Enrolments are now open for Summer 2022 examinations. The course necessitates the completion of four standard A-level exams and various assignments. While the assignments don't contribute to the final grade, they allow you to get tutor feedback and help in monitoring your progress. We also provide a guaranteed exam space in our nationwide exam centres. 👩‍🎓 Course Outcomes: Successful completion earns you an A-Level in Further Mathematics, issued by Edexcel. This certificate holds the same value as that issued to students in any other educational institution. ℹ️ Additional Information: Official Qualification Title - Further Maths A-Level Level - Advanced (Level 3) Course Content: Our course curriculum includes but is not limited to Core Mathematics 1 & 2, Further Pure Mathematics 1 & 2, Statistics 1 & 2, Mechanics 1 & 2, and Decision 1 & 2. These units cover a wide array of topics, including proof, complex numbers, matrices, algebra and functions, calculus, vectors, polar co-ordinates, hyperbolic functions, differential equations, groups, number theory, sequences and series, discrete probability distributions, hypothesis testing, central limit theorem, chi squared testing, linear regression, continuous probability distributions, correlation, combination of random variables, confidence intervals, moments and impulse, work, energy, and power, elastic springs and strings, elastic collisions, motion in a circle, centre of mass, further dynamics, further kinematics, algorithms, graphs, critical path analysis, linear programming, transportation problems, allocation problems, flows in networks, dynamic programming, game theory, recurrence relationship, and decision analysis.