Fundamentals of Calculus
Course Overview You’ll have an arsenal of skills to lock down your desired career after completing this course_title course. Moreover, …
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Course Overview
You’ll have an arsenal of skills to lock down your desired career after completing this [course_title] course. Moreover, you will have access to all of the materials in this course for free for a whole year and learn a multitude of highly coveted skills to move up the corporate ladder.
With this comprehensive [course_title] course, you’ll have all of your questions answered and all of the necessary expertise under your belt. Apart from setting you up for success, this course offers numerous advantages to make your learning experience more pleasurable and less stressful. So, add this [course_title] course to the basket and take your expertise up a notch!
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This course is accessible to anyone with an eagerness to learn. All you require is—
- A smart device with a stable internet connection
- A keen interest in this subject
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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 | ||
| Assignment | |||
| Assignment – Fundamentals of Calculus | 3 weeks, 3 days | ||
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