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 3.1 - Derivatives of Polynomials and Exponential Functions

Section 3.2 - The Product and Quotient Rules

Section 3.3 - Derivatives of Trigonometric Functions

Section 3.4 - The Chain Rule

Section 3.5 - Implicit Differentiation

Section 3.6 Derivatives of Logarithmic Functions

Section 3.7 - Rates of Change in the Natural and Social Sciences

Section 3.8 - Exponential Growth and Decay

Section 3.9 - Related Rates

Section 3.10 - Linear Approximations and Differentials

Section 3.11 - Hyperbolic Functions