MA 162 Spring 2017

Lecture Notes

  • Lesson 2- Vectors

  • Lesson 3- The dot product

  • Lesson 4- The cross product

  • Lesson 5- The area between curves

  • Lesson 6- Volumes

  • Lesson 7- Volumes by Cylindrical shells

  • Lesson 8- Work and averages of functions

  • Lesson 9- Integration by parts

  • Lesson 10- Trigonometric Integrals

  • Lesson 11- Trigonometric Substitutions

  • Lesson 12- Trigonometric Substitutions, continuation

  • Lesson 13- Partial Fractions

  • Lesson 14- Partial Fractions, continuation

  • Lesson 15- Numerical approximation and the use of a table of integrals

  • Lesson 16- Improper Integrals

  • Lesson 17- Arc Length and Surface Area

  • Lesson 18- Center of Mass

  • Lesson 19- Sequences

  • Lesson 20- Series

  • Lesson 21-- The Integral Test

  • Lesson 22-- The Comparison Tests

  • Lesson 23-- Aletenating Series-- NOT AVAILABLE

  • Lesson 24-- The Ratio and Rot Tests

  • Lesson 25-- Review about series

  • Lesson 26-- Power Series

  • Lesson 27-- Representation of Functions by Power Series

  • Lesson 29-- Taylor and Maclaurin Series I-- NOT AVAILABLE

  • Lesson 29-- Taylor and Maclaurin Series II

  • Lesson 30-- Taylor and Maclaurin Series III

  • Lesson 31-- Curves Given by Parametric Equations -- NOT AVAILABLE

  • Lesson 32-- Calculus with Parametric Equations

  • Lesson 33-- Polar Coordinates