Topics typically covered in Math 1320, Calculus II
TECHNIQUES OF INTEGRATION.
Integration by Parts. Trigonometric Integrals. Trigonometric
Substitution. Integration of Rational Functions by Partial
Fractions. Strategy for Integration. Approximate
Integration. Improper Integrals.
FURTHER APPLICATIONS OF INTEGRATION.
Arc Length. Area of a Surface of Revolution. Center of
Modeling with Differential Equations. Direction Fields and Euler’s
Method. Separable Equations. Linear Equations.
PARAMETRIC EQUATIONS AND POLAR COORDINATES.
Curves Defined by Parametric Equations. Calculus with Parametric
Curves. Areas and Lengths in Polar Coordinates.
INFINITE SEQUENCES AND SERIES.
Sequences. Series. The Integral Test and Estimates of Sums. The
Comparison Tests. Alternating Series. Absolute Convergence and the
Ratio and Root Tests. Strategy for Testing Series. Power Series.
Representations of Functions as Power Series. Taylor and Maclaurin
Series. Applications of Taylor Polynomials.