Engineering Calculus Made Simple (Derivatives)

person icon Graham Van Brunt

Engineering Calculus Made Simple (Derivatives)

A look at derivatives...the short version

updated on icon Updated on Sep, 2023

language icon Language - English

person icon Graham Van Brunt

architecture icon Business,Industry,Anti-Aging


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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


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.


What are the prerequisites for this course?

  • Basic knowledge of mathematics and trigonometry

Engineering Calculus Made Simple (Derivatives)


Check out the detailed breakdown of what’s inside the course

10 Lectures
  • play icon Introduction 08:20 08:20
  • play icon Functions 24:02 24:02
  • play icon Limits 42:16 42:16
  • play icon The Derivative 40:03 40:03
  • play icon Trig Identities 21:58 21:58
  • play icon The Squeeze Theorem 31:13 31:13
  • play icon The Derivative of Sin(x) 08:25 08:25
  • play icon The Derivative of Cos(x) 10:10 10:10
  • play icon Other Derivatives 28:58 28:58
  • play icon Resources

Instructor Details

Graham Van Brunt

Graham Van Brunt

With an entire career in the power sector of engineering, Graham graduated from Queen's University coupled with subsequent studies with Wilfrid Laurier University to travel the globe and apply his skills and garner his protection and control experience internationally. 

His passion for staying in touch with his profession and his kinship for mentoring has kept him in front of an audience of learners.

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