Times are suggested based on a 15-week semester of 59 class meetings, allowing 9 days for review and exams.

Chapter & Sections | Topics | Time | |
---|---|---|---|

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

Document last modified on December 26, 2018