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Course Curriculum

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 00:16:00
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 00:08:00
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 00:00:00
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 00:12:00
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 00:09:00
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

Basic Calculus

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Basic Calculus
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