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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 can be utilized in physics, engineering, economics, statistics, and medicine. Calculus I will primarily cover derivatives.
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
Video Resources
-
patrickJMT
https://www.youtube.com/channel/UCFe6jenM1Bc54qtBsIJGRZQ -
Michel van Biezen
https://www.youtube.com/channel/UCiGxYawhEp4QyFcX0R60YdQ
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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