1. Parametric Equations: Curves defined by Parametric Equations
2. Calculus with Parametric Curves
3. Polar Coordinates: Introduction
4. Areas and Lengths in Polar Coordinates
5. Conic Sections, Conic Sections in Polar Coordinates
6. Infinite Sequence and Series: Sequences, Series
7. The Integral Test and Estimates of Sums
8. The Comparison Tests, Alternating Series
9. Absolute Convergence and the Ratio and Root Test
10. Strategy for Testing Series, Power Series
11. Functions as Power Series
12. Taylor and Maclaurin Series.

Recommended Books 1. Stewart, J., Calculus Early Transcendentals, 7th ed. (Brooks/Cole, 2011). 2. Anton, H., Calculus; A New Horizon, 7th ed. (John Wiley, 2001).

Suggested Books 1. Thomas, G. B., Calculus,12th ed. (Pearson Edition, India, 2015).