Mastering Derivatives: A Complete Calculus Course

What you'll learn

Rationalization
Basic Concept of Limits
Rates of Change
The Definition of Derivative
Derivative of Polynomial Functions
The Product Rule
The Quotient Rule
The Chain Rule
Higher Order Derivative
Maximum/Minimum in an Interval
Optimization
Critical Point, Interval of Increasing/Decreasing
First Derivative Test to determine Maximum/Minimum
Vertical and Horizontal Asymptote
Point of Inflection, Concavity
Curve Sketching
Derivative of Exponential Functions
Derivative of Trigonometric Functions

Requirements

Has a basic understanding Functions and Rate of change
Has a basic knowledge of Fundamentals of Mathematics

Description

This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modeling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra

Who this course is for:

Anyone who is interested in learning Mathematics
Anyone who wants to prepare for first year university
Anyone who wants to master the concepts of Derivatives