Syllabus

5.2 The definite Integral (Quick review)
5.3 Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
5.5 The substitution Rule
6.1 Area Between Curves
6.2 Volumes
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of rational functions (just the case of a rational function whose denominator can be factored as a product of two linear terms)
7.5 Strategy for integration (a review section)
7.8 Improper Integrals
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, Ratio and Root Tests
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 Application of Taylor polynomials (only the subsection Approximating functions by polynomials)
10.1 Curves defined by Parametric Equations
10.2 Calculus with parametric curves (only subsections Tangents and Arclength; exclude Area and Surface Area)
10.3 Polar Coordinates
10.4 Areas and length in polar coordinates