This math course covers topics typical for a Calculus I course. The main topics covered are limits, differentiation, using derivates to solve problems and an introduction to integration.
Velocities and Tangent Lines
Guessing Limits Numerically
The Limit Laws
Derivatives and Rates of Change
The Derivative as a Function
Differentiation Formulas and Derivatives of Trigonometric Functions
The Chain Rule
Related Rates Problems
Maximum and Minimum Values
The Mean Value Theorem and How Derivatives Affect the Shapes of Graphs
Limits at Infinity and Horizontal Asymptotes
Summary of Curve Sketching
Areas and Distances
The Definite Integral
The Fundamental Theorem of Calculus
The Substitution Rule
Areas Between Curves
Volumes by Cylindrical Shells
Required Textbooks & Materials
Mandatory Stewart, J. (2011). Single Variable Calculus (7th ed). ISBN 0538497831. Be sure not to use a text with the subtitle “Early Transcendentals.” It will not work.
Recommended Stewart, J. (20011). Student Solutions Manual for Stewart's Single Variable Calculus. ISBN: 0840049498. This manual gives detailed solutions to the odd numbered problems in the text. It is optional, but it is a wise investment.
There is a longer version of the textbook containing the material for Calculus I, II and III. If you plan on taking Calculus III, you may want to consider purchasing the text containing the chapters for all three courses.
Lessons & Exams
You have 3 to 9 months from your enrollment date to complete: