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Earth to Mars a LLC
A Self-Study Website
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
- James Stewart - Calculus_ Early Transcendentals-Cengage Learning (2015)
- Schaum's Outline of Calculus, 6th Edition: 1,105 Solved Problems + 30 Videos (Schaum's Outlines) 6th
- Schaum's 3,000 Solved Problems In Calculus
Chapter 3 - Differentiation Rules
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
Chapter 3 - Differentiation Rules
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