Engineering Calculus Made Simple (Derivatives)
A look at derivatives...the short version
Lectures -10
Resources -2
Duration -3.5 hours
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Course Description
In mathematics, the derivative of a function of a real variable measures the sensitivity to a change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances.
The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For this reason, the derivative is often described as the "instantaneous rate of change", the ratio of the instantaneous change in the dependent variable to that of the independent variable.
This course is designed as a basic review of derivatives as they apply to electrical functions. It is designed for the student of electrical engineering who comes across theoretical formulas that reference derivatives. A detailed understanding of derivatives is not required in order to continue the electrical topic and this course will provide the basic amount required. During this course, the student will learn useful trig identities and approach derivatives with the help of limits and theorems such as the squeeze theorem.
Who this course is for:
- Electrical Engineers, Technologists, Technicians & Electrical Students
Goals
What will you learn in this course:
Students will learn mathematical derivatives as they apply to electrical functions
Students will learn about limits.
Students will learn useful Trig Identities.
Students will learn the Squeeze Theorem.
Prerequisites
What are the prerequisites for this course?
Basic knowledge of mathematics and trigonometry
Curriculum
Check out the detailed breakdown of what’s inside the course
Introduction
10 Lectures
- Introduction 08:20 08:20
- Functions 24:02 24:02
- Limits 42:16 42:16
- The Derivative 40:03 40:03
- Trig Identities 21:58 21:58
- The Squeeze Theorem 31:13 31:13
- The Derivative of Sin(x) 08:25 08:25
- The Derivative of Cos(x) 10:10 10:10
- Other Derivatives 28:58 28:58
- Resources
Instructor Details
Graham Van Brunt
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