Syllabus for Calculus II (Math 166)

Chapter and Section references are to Thomas' Calculus, Early Transcendentals, 12th ed.

Times are suggested based on a 15-week semester of 59 class meetings, allowing 9 days for review and exams.
Chapter & Sections Topics Time
textbook cover
Weir, Hass
Thomas' Calculus,
Early Transcendentals,
12th edition

Chapter 6 Applications of the Definite Integral 12 days
§6.1 Volumes Using Cross-sections
§6.2 Volumes Using Cylindrical Shells
§6.3 Arc Length
§6.4 Areas of Surfaces of Revolution
§6.5 Work and Fluid Pressure
§6.6 Moments and Centers of Mass
Chapter 8 Techniques of Integration 12 days
§8.1 Integration by Parts
§8.2 Trigonometric Integrals
§8.3 Trigonometric Substitutions
§8.4 Integration of Rational Functions by Partial Fractions
§8.5 (Optional) Integral Tables and Computer Algebra Systems
§8.6 Numerical Integration
§8.7 Improper Integrals
Chapter 10 Infinite Sequences and Series 17 days
§10.1 Sequences
§10.2 Infinite Series
§10.3 The Integral Test
§10.4 Comparison Tests
§10.5 The Ratio and Root Tests
§10.6 Alternating Series, Absolute and Conditional Convergence
§10.7 Power Series
§10.8 Taylor and McLaurin Series
§10.9 Convergence of Taylor Series
§10.10 The Binomial Series and Applications of Taylor Series
Chapter 11 Parametric Equations and Polar Coordinates 9 days
§11.1 Parametrization of Plane Curves
§11.2 Calculus with Parametric Curves
§11.3 Polar Coordinates
§11.4 Graphing in Polar Coordinates
§11.5 Areas and Lengths in Polar Coordinates

The Midterm Exam for Math 166 will be given Thursday evening February 22, 2018, 8:15pm-9:45pm. It will cover material through Section 8.4.
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Document last modified on December 26, 2018