Notes and Resources for Math 101
Notes and Resources for Math 101
Textbook
Larson and Edwards, Calculus, 11th edition
Examples: Application problems
Handout: Inverse trig functions
Proof of Inverse Trig Derivatives
External link: Calculus with Hyperbolic Functions
External link: Basics of Hyperbolic Functions
Handout: Area between curves
Handout: Fundamental Theorem of Calculus
Video: Areas by integration
Example: Another example to supplement the notes
Example: Problem #14 section 7.2
Solids with known cross sections
External link: Volumes of solids of revolution
Example: Surface area of a sphere
External link: Arc Length
External link: Area of Surface of Revolution
Examples: Center of mass examples
Handout: Basic Integration Formulas
Handout: Integration by Parts
Handout: Trigonometric formulas
Handout: Trigonometric Substitution (by George Ballinger)
Example: Quadratic denominator
Example: What method to use?
Handout: Partial Fractions
Handout: The Trapezoidal Rule
Handout: Simpson's Rule
Appendix B: Integration Tables
Handout: Indeterminate forms of limits
Handout: Review of Limits (by George Ballinger)
Video: Failure of L'Hôpital's Rule
External link: Improper Integrals
Handout: Harmonic series
Handout: Summary of tests for series
External link: Power Series
Example: An integral with series
Handout: Maclaurin series of sin(x)
Handout: Basic Maclaurin series
Desmos graph of a parametric curve
External link: Cycloid
External link: Parametric Equations
Handout: Polar graphs examples
External link: Area in Polar Coordinates