MA 166 FALL 2018

Lecture Notes

  • Lesson 1-- Information about the course & Lesson 1, Section 12.1

  • Lesson 2-- Vectors & the dot product, Sections 12.2 and 12.3

  • Lesson 3-- The dot product, Section 12.3

  • Lesson 4-- The cross product, Section 12.4

  • Lesson 5-- Area between two curves, Section 6.1

  • Lesson 6-- Volumes Section 6.2

  • Lesson 7-- Volumes by cylindrical shells Section 6.3

  • Lesson 8-- Integration by parts-- Not available

  • 9 and 10-- Trig Integrals Section-7.2 Prof. Matsuki's Notes

  • Lesson 11 and part of 12-- Trig Substitutions 7.3

  • Lesson part of 12 and 13-- Trig Substitutions 7.3 and Partial Fractions

  • Lesson 14 Partial Fractions, continuation

  • Lesson 15-- Numerical Integration and Table of Integrals

  • Lesson 16-- Improper Integrals

  • Lesson 17-- Arc Length and Surface Areas

  • Lesson 18-- Center of Mass

  • Lesson 19-- Sequences

  • Lesson 20-- Sequences and series

  • Lesson 21-- Sequences and series; the integral test

  • Lesson 22-- The comparison tests, part 1

  • Lesson 23-- The comparison tests, part 2

  • Lesson 24-- Alternating series

  • Lesson 25-- Absolute Convergence and ratio test

  • Lesson 26-- The root test

  • Lesson 27-- Power series

  • Lesson 28-- Representation of functions by power series

  • Lesson 29-- Taylor and Maclaurin series

  • Lesson 30-- Taylor and Maclaurin series-- continuation

  • Lesson 31-- Curves defined by parametric equations

  • Lesson 32-- Calculus with parametric curves

  • Lesson 33-- Polar coordinates

  • Lesson 35-- Complex Numbers

  • Solutions to exam 1-- Solutions to version 11 and answer keys to all versions

  • Solutions to exam 2-- Solutions to version 11 and answer keys to all versions

  • Solutions to exam 3-- Solutions to version 11 and answer keys to all versions

  • Final Exam Formula Sheet