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Math 126: Calculus with Review II
This course is a continuation of Math 125. The topics covered are the topics typically taught in the second half of a Calculus I course. The calculus material in the course is supplemented by reviewing topics of high school mathematics as needed. The calculus topics are also taught at a slower pace. Topics include implicit differentiation, applications of differentiation, L'Hospital's rule, Newton's method, the integral, and applications of integration.
- Author
- Katharine Vance
- Publisher
- Hope College
- Source
- LibreTexts
- Language
- EN
- Category
- Basic Sciences
Contents· 24 sections
- 01: Inverse Functions
- 1.01: Inverse Functions
- 1.02: Logarithmic Functions
- 1.03: Graphs of Logarithmic Functions
- 1.04: Derivatives of Exponential and Logarithmic Functions
- 1.05: Inverse Trigonometric Functions
- 1.06: Derivatives of Inverse Functions
- 02: Using Derivatives
- 2.01: Using Derivatives to Evaluate Limits
- 2.02: Using Derivatives to Identify Extreme Values
- 2.03: Using Derivatives to Describe Families of Functions
- 2.04: Global Optimization
- 2.05: Applied Optimization
- 2.06: Related Rates
- 03: The Definite Integral
- 3.01: Determining Distance Traveled from Velocity
- 3.02: Riemann Sums
- 3.03: The Definite Integral
- 3.04: The Fundamental Theorem of Calculus
- 04: Evaluating Integrals
- 4.01: Construction Accurate Graphs of Antiderivatives
- 4.02: The Second Fundamental Theorem of Calculus
- 4.03: Integration by Substitution
- 4.04: Numerical Integration