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Calculus Basics
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Highlights
On-Demand course
15 hours 32 minutes
All levels
Description
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.
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Over the age of 16.
Certification
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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.
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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' HoÌpital'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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