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Course Curriculum
| 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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