Earth to Mars

Calculus I

Calculus is the mathematical study of continuous change. It is used to create mathematical models in order to arrive into an optimal solution. It is fundamental for Physics, engineering, economics, statistics, and medicine. Calculus I will primarily cover derivatives, techniques for derivatives and their applications.

The prerequisites for this course are: Precalculus I and II

This course is a co- or prerequisite for: Calculus II, Physics I and Physics II

Book resources 

Section 4.1 - Maximum and Minimum Values

Section 4.2 - The Mean Value Theorem

Section 4.3 - How Derivatives Affect the Shape of a Graph

Section 4.4 - Indeterminate Forms and L’Hospital’s Rule

Section 4.5 - Summary of Curve Sketching

Section 4.6 - Graphing with Calculus and Calculators

Section 4.7 - Optimization Problems

Section 4.8 - Newton’s Method

Section 4.9 - Antiderivatives