Fundamentals of Calculus

Fundamentals of Calculus

Overview Are you looking to gain a new in-demand skill from the comfort of your home? Well, look no further; …

Fundamentals of Calculus

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Fundamentals of Calculus Overview

Are you looking to gain a new in-demand skill from the comfort of your home? Well, look no further; you’ve come to the right place!

Our easy-to-follow Fundamentals of Calculus will provide you with all the deep knowledge and insight you need to know about this topic. This comprehensive course has been broken down into several manageable modules, which we believe will assist you to easily grasp each concept – from the fundamental to the more advanced aspects of the course.

Learn the most in-demand skills from the safety & comfort of your home. Enjoy the freedom to learn at your own comfortable pace and prepare yourself for the market of the future.

Learning Outcomes

Whether you are an aspiring professional or a complete beginner, this course will improve your expertise and boost your CV with key skills and an accredited certification attesting to your knowledge.

Entry Requirements

This course is available to all learners of all academic backgrounds.
Learners should be aged 16 or over to undertake the qualification.
Some basic understanding of the English language and numeracy.

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Affordable, engaging & high-quality e-learning study materials;
Tutorial videos/materials from the industry-leading experts;
Study in a user-friendly, advanced online learning platform;
Efficient exam systems for the assessment and instant result;
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Access to course content on mobile, tablet or desktop from anywhere, anytime;
The benefit of career advancement opportunities;
24/7 student support via email.

Career Path

Develop Your Career Plan is a useful qualification to possess and would be beneficial for any related profession or industry.

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	00:20:00
	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 Lâ€™ HoÌ‚pitalâ€™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

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Fundamentals of Calculus

Fundamentals of Calculus