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Number Theory Basics is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Number Theory Basics and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills. Consisting of several modules, the course teaches you everything you need to succeed in this profession. The course can be studied part-time. You can become accredited within 9 hours studying at your own pace. Your qualification will be recognised and can be checked for validity on our dedicated website. Why Choose Teachers Training Some of our website features are: This is a dedicated website for teaching 24/7 tutor support Interactive Content Affordable price Courses accredited by the UK's top awarding bodies 100% online Flexible deadline Entry Requirements No formal entry requirements. You need to have: Passion for learning A good understanding of the English language Be motivated and hard-working Over the age of 16. Certification CPD Certification from The Teachers Training Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. You can get your digital certificate (PDF) for £4.99 only Hard copy certificates are also available, and you can get one for only £10.99 You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Introduction What is Number Theory 00:08:00 Basics of Number Theory Number Theory 00:07:00 Number Sets 00:09:00 Number Patterns 00:10:00 Even & Odd Numbers 00:11:00 Number Properties 00:10:00 Proofs 00:11:00 Number Bases Number Bases 00:12:00 Binary Base 00:12:00 Binary Arithmetics 00:15:00 Hexadecimal Base 00:13:00 Hexadecimal Arithmetics 00:14:00 Factorials Factorial 00:05:00 Double Factorial 00:09:00 Super Factorial 00:03:00 Exponential Factorial 00:03:00 Factorion 00:05:00 Stirling's Formula 00:03:00 Number of Digits 00:03:00 Divisibility Divisibility 00:07:00 Divisibility Rules 00:04:00 Euclidean Division Theorem 00:08:00 GCD & LCM 00:11:00 Bézout's Identity 00:08:00 Perfect Numbers 00:04:00 Practical Numbers 00:05:00 Amicable Numbers 00:04:00 Fibonacci Sequence 00:09:00 Tribonacci Sequence 00:05:00 Golden Ratio 00:11:00 Primes Prime Numbers 00:09:00 Fundamental Theorem of Arithmetics (FTA) 00:10:00 Almost Primes 00:07:00 Prime Powers 00:02:00 Factorial Prime 00:03:00 Euclid's Theorems 00:09:00 The Prime Number Theorem 00:04:00 Unsolved Problems 00:06:00 Number Empire 00:07:00 Modular Arithmetic Modular Arithmetics 00:09:00 Congruence 00:13:00 Congruence Class 00:12:00 Residue Systems 00:04:00 Quadratic Residues 00:04:00 Modular Operations 00:06:00 Inverses 00:07:00 Modular Exponentiation 00:10:00 Wilson's Theorem 00:05:00 Chinese Remainder Theorem 00:09:00 Fermat's Little Theorem 00:05:00 Euler's Totient Function 00:07:00 Euler-Fermat Theorem 00:04:00 Continued Fractions Continued Fractions 00:08:00 Negative Continued Fractions 00:11:00 Finite Continued Fractions 00:14:00 Infinite Continued Fractions 00:17:00 Periodic Continued Fractions 00:10:00 Convergent 00:12:00 Cryptography Cryptography 00:09:00 Early Ciphers 00:11:00 Public Key Cryptography 00:13:00 RSA Encryption 00:11:00 Diffie-Hellman Protocol 00:04:00 Resources Resource - An Introduction to Number Theory 00:05:00

Graph Theory Basics is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Graph Theory Basics and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills. Consisting of several modules, the course teaches you everything you need to succeed in this profession. The course can be studied part-time. You can become accredited within 10 hours studying at your own pace. Your qualification will be recognised and can be checked for validity on our dedicated website. Why Choose Teachers Training Some of our website features are: This is a dedicated website for teaching 24/7 tutor support Interactive Content Affordable price Courses accredited by the UK's top awarding bodies 100% online Flexible deadline Entry Requirements No formal entry requirements. You need to have: Passion for learning A good understanding of the English language Be motivated and hard-working Over the age of 16. Certification Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. You can get your digital certificate (PDF) for £4.99 only Hard copy certificates are also available, and you can get one for only £10.99 You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Course Promo Graph Theory Promo 00:02:00 Module 01: Supplements Textbook Recommendations 00:02:00 Tools and Softwares 00:05:00 Sets 00:09:00 Number Sets 00:10:00 Parity 00:12:00 Terminologies 00:07:00 Module 02: Fundamentals Introduction 00:03:00 Graphs 00:11:00 Subgraphs 00:09:00 Degree 00:10:00 Sum of Degrees of Vertices Theorem 00:23:00 Adjacency and Incidence 00:09:00 Adjacency Matrix 00:16:00 Incidence Matrix 00:08:00 Isomorphism 00:08:00 Module 03: Paths Introduction 00:01:00 Walks, Trails, Paths, and Circuits 00:13:00 Examples 00:10:00 Eccentricity, Diameter, and Radius 00:07:00 Connectedness 00:20:00 Euler Trails and Circuits 00:18:00 Fleury's Algorithm 00:10:00 Hamiltonian Paths and Circuits 00:06:00 Ore's Theorem 00:14:00 Dirac's Theorem 00:06:00 The Shortest Path Problem 00:16:00 Module 04: Graph Types Introduction 00:01:00 Trivial, Null and Simple Graphs 00:10:00 Regular Graphs 00:10:00 Complete, Cycles and Cubic Graphs 00:10:00 Path, Wheel and Platonic Graphs 00:11:00 Bipartite Graphs 00:14:00 Module 05: Trees Introduction 00:01:00 Trees 00:14:00 Cayley's Theorem 00:03:00 Rooted Trees 00:10:00 Binary Trees 00:14:00 Binary Tree Traversals 00:18:00 Binary Expression Trees 00:09:00 Binary Search Trees 00:19:00 Spanning Trees 00:10:00 Forest 00:07:00 Module 06: Digraphs and Tournaments Introduction 00:01:00 Digraphs 00:12:00 Degree 00:09:00 Isomorphism 00:08:00 Adjacency Matrix 00:10:00 Incidence Matrix 00:05:00 Walks, Paths and Cycles 00:12:00 Connectedness 00:05:00 Tournaments 00:08:00 Module 07: Planar Graphs Introduction 00:01:00 Planar Graphs 00:10:00 Kuratowski's Theorem 00:14:00 Euler's Formula 00:10:00 Dual Graphs 00:11:00 Module 08: Graph Operations Introduction 00:01:00 Vertex and Edge Deletion & Addition 00:08:00 Cartesian Product 00:10:00 Graph Join and Transpose 00:04:00 Complement Graphs 00:05:00 Module 09: Graph Colourings Introduction 00:01:00 Vertex Colourings 00:05:00 Edge Colourings 00:09:00 Total Colourings 00:05:00

Calculus Basics is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Calculus Basics and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills. Consisting of several modules, the course teaches you everything you need to succeed in this profession. The course can be studied part-time. You can become accredited within 16 hours studying at your own pace. Your qualification will be recognised and can be checked for validity on our dedicated website. Why Choose Teachers Training Some of our website features are: This is a dedicated website for teaching 24/7 tutor support Interactive Content Affordable price Courses accredited by the UK's top awarding bodies 100% online Flexible deadline Entry Requirements No formal entry requirements. You need to have: Passion for learning A good understanding of the English language Be motivated and hard-working Over the age of 16. Certification CPD Certification from The Teachers Training Successfully completing the MCQ exam of this course qualifies you for a CPD-accredited certificate from The Teachers Training. You will be eligible for both PDF copy and hard copy of the certificate to showcase your achievement however you wish. You can get your digital certificate (PDF) for £4.99 only Hard copy certificates are also available, and you can get one for only £10.99 You can get both PDF and Hard copy certificates for just £12.99! The certificate will add significant weight to your CV and will give you a competitive advantage when applying for jobs. Unit 01: Supplements 1.1 Number Sets 00:10:00 1.2 Graphing Tools 00:06:00 Unit 02: Functions 2.1 Introduction 00:01:00 2.2 Functions 00:15:00 2.3 Evaluating a Function 00:13:00 2.4 Domain 00:16:00 2.5 Range 00:05:00 2.6 One to One Function 00:09:00 2.7 Inverse Functions 00:10:00 2.8 Exponential Functions 00:05:00 2.9 The Natural Exponential Function 00:06:00 2.10 Logarithms 00:13:00 2.11 Natural Logarithms 00:07:00 2.12 Logarithm Laws 00:06:00 2.13 Trigonometric Ratios 00:15:00 2.14 Evaluating Trig Functions and Points 00:18:00 2.15 Inverse Trigonometric Functions 00:12:00 Unit 03 Limits 3.1 Introduction 00:01:00 3.2 What is a Limit? 00:17:00 3.3 Examples 00:15:00 3.4 One-Sided Limits 00:12:00 3.5 The Limit Laws 00:08:00 3.6 Examples 00:15:00 3.7 More Examples 00:15:00 3.8 The Squeeze (Sandwich) Theorem 00:09:00 3.9 Examples 00:10:00 3.10 Precise Definition of Limits 00:08:00 3.11 Examples 00:15:00 3.12 limits at Infinity 00:21:00 3.13 Examples 00:15:00 3.14 Asymptotes and Limits at Infinity 00:10:00 3.15 Infinite Limits 00:12:00 Unit 04: Continuity 4.1 Introduction 00:01:00 4.2 Continuity 00:12:00 4.3 Types of Discontinuity 00:12:00 4.4 Examples 00:17:00 4.5 Properties of Continuous Functions 00:11:00 4.6 Intermediate Value Theorem for Continuous Functions 00:06:00 Unit 05: Derivatives 5.1 Introduction 00:01:00 5.2 Average Rate of Change 00:09:00 5.3 Instantaneous Rate of Change 00:12:00 5.4 Derivative Definition 00:14:00 5.5 Examples 00:10:00 5.6 Non-Differentiability 00:06:00 5.7 Constant and Power Rule 00:09:00 5.8 Constant Multiple Rule 00:07:00 5.9 Sum and Difference Rule 00:07:00 5.10 Product Rule 00:14:00 5.11 Quotient Rule 00:08:00 5.12 Chain Rule 00:14:00 5.13 Examples 00:09:00 5.14 Derivative Symbols 00:04:00 5.15 Graph of Derivatives 00:10:00 5.16 Higher Order Derivatives 00:08:00 5.17 Equation of the Tangent Line 00:07:00 5.18 Derivative of Trig Functions 00:07:00 5.19 Examples 00:19:00 5.20 Derivative of Inverse Trig Functions 00:08:00 5.21 Examples 00:12:00 5.22 Implicit Differentiation 00:17:00 5.23 Derivative of Inverse Functions 00:13:00 5.24 Derivative of the Natural Exponential Function 00:11:00 5.25 Derivative of the Natural Logarithm Function 00:07:00 5.26 Derivative of Exponential Functions 00:06:00 5.27 Derivative of Logarithmic Functions 00:06:00 5.28 Logarithmic Differentiation 00:15:00 Unit 06: Application of Derivatives 6.1 Introduction 00:01:00 6.2 Related Rates 00:08:00 6.3 Examples 00:13:00 6.4 More Example 00:09:00 6.5 More Example 00:10:00 6.6 Optimisation 00:16:00 6.7 Example 00:11:00 6.8 More Example 00:07:00 6.9 Extreme Values of Functions 00:12:00 6.10 Critical Points 00:08:00 6.11 Examples (First Derivative Test) 00:16:00 6.12 More Examples 00:18:00 6.13 Concavity 00:15:00 6.14 Examples 00:13:00 6.15 Second Derivative Test 00:08:00 6.16 Graphing Functions 00:08:00 6.17 Examples 00:21:00 6.18 L' Hôpital's Rule 00:12:00 6.19 Other Indeterminate Forms 00:15:00 6.20 Rolle's Theorem 00:09:00 6.21 The Mean Value Theorem 00:19:00 6.22Application of the Mean Value Theorem 00:04:00 Resources Resource - Fundamentals of Calculus 00:00:00

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The PDF certificate is for £9.99, and it will be sent to you immediately after through e-mail. You can get the hard copy for £15.99, which will reach your doorsteps by post. 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 Medical Math and Pharmacy Calculations Mastery, 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 Introduction 1 lecture Medical Math and Pharmacy Calculations Mastery - 01 00:01:00 Conversions Medical Math and Pharmacy Calculations Mastery - 02 00:04:00 Medical Math and Pharmacy Calculations Mastery - 03 00:09:00 Medical Math and Pharmacy Calculations Mastery - 04 00:13:00 Conversions Using Ratio - Proportion or Dimensional Analysis Medical Math and Pharmacy Calculations Mastery - 05 00:05:00 Medical Math and Pharmacy Calculations Mastery - 06 00:07:00 Medical Math and Pharmacy Calculations Mastery - 07 00:14:00 Medical Math and Pharmacy Calculations Mastery - 08 00:04:00 Medical Math and Pharmacy Calculations Mastery - 09 00:08:00 Pharmacy Math Medical Math and Pharmacy Calculations Mastery - 10 00:07:00 11- Quantity To Be Dispensed 00:03:00 12 - Single Dose, Single Day, Total Volume 00:12:00 Business Math 13 - Business Math Terminologies 00:08:00 14 - Business Math Mark-up Discount 00:16:00 15 - Retail Business Math Mark-up Amount & Mark-up Percentage 00:08:00 16 - Retail Business Math Discount Amount & Discount Percentage 00:15:00 17 - Pharmacy Business Math Purchase Price, Discount, and Discount Percentage 00:03:00 18 - Pharmacy Business Math Percentage Markup Rate 00:02:00 19 - Pharmacy Business Math Gross Profit Net Profit 00:03:00 Understanding Percentages, Strengths & Concentration 20 - Percentages, Strengths & Concentration 00:15:00 21 - % wv, % ww, % vv 00:06:00 Hospital and Compounding Math: Alligation & Dilution 22 - Review of Percentages, Strengths & Concentration 00:02:00 23 - Alligation & Dilution 00:04:00 24 - Application of Percentage, Alligation & Dilution 00:03:00 25 - Practice Problems 00:17:00 26 - More Practice Problems 00:02:00 Hospital Math: Flow Rate & Drip Rate 27 - Flow Rate vs Drip Rate 00:12:00 28 - Finding the R 00:07:00 29 - Finding the T 00:06:00 30 - Finding the V 00:03:00 Dosage Calculation 31 - Dosage Calculation Based on Weight & Age 00:05:00 32 - Dosage Calculation Based on Body Surface Area (BSA) 00:06:00 33 - BSA Practice Problems 00:03:00 34 - Therapeutic Dose versus Lethal Dose 00:02:00 35 - Therapeutic Range Minimum and Maximum Dose 00:08:00 36 - Dosage Calculation Based on Weight mgkgday & mgkgdose 00:07:00 37 - Pediatric Daily Rate 00:06:00 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.