For the weekly schedules, see the Schedule page.

Some sections will be covered only in part.  For indication of what is to be covered and what not, see the parenthetical qualifications below and consult the list of problems on the Homework page.

Chapter 5 – Integrals

5.2   The definite integral (quick review)
5.3   The Fundamental Theorem of Calculus
5.4    Indefinite integrals and the Net Change Theorem
5.5   The Substitution Rule

Chapter 6 – Applications of Integration

6.1   Area between curves
6.2   Volumes

Chapter 7 – Techniques of Integration

7.1   Integration by parts
7.2   Trigonometric integrals
7.3   Trigonometric substitution
7.4   Integration of rational functions by partial fractions
                [just the case of a rational function whose denominator
                can be factored as (x – r)(x – s) with distinct r, s]
7.7   Approximate integration (may omit error bounds formulas)
7.8   Improper integrals

Chapter 8 – Applications of Integration

8.5   Probability

Chapter 11 – Infinite Sequences and Series

11.1  Sequences
11.2  Series
11.3  The Integral Test and estimates of sums
11.4  The comparison tests
11.5  Alternating series
11.6  Absolute convergence; the Ratio and Root Tests
                 (omit subsection Rearrangements)
11.7  Strategy for testing series (for review)
11.8  Power series
11.9  Representation of functions as power series
11.10 Taylor and Maclaurin series (omit subsection Multiplication
                    and Division of Power Series)
11.11 Applications of Taylor Polynomials (only the subsection
                   Approximating functions by Polynomials)

Chapter 10 – Parametric Equations and Polar Coordinates

10.1  Curves defined by parametric equations
10.2  Calculus with parametric curves (only subsections Tangents
                   and Arc Length; not Area and Surface Area)
10.3  Polar coordinates
10.4  Areas and length in polar coordinates