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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; …

Fundamentals of Calculus

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.  

Why Choose Us

  • 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;
  • The UK & internationally recognised accredited
  • 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 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

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