# Calculus II

1. Course Prerequisites:This course is designed for students who have learned algebra, geometry, trigonometry, analytic geometry, elementary functions and Calculus I.

2. DayTime:MonThu 6:30-7:30pm (Tentative )

3. Major Topics to be Covered:01 Area Between Two Curves

02 Volumes by Slicing; Disks and Washers

03 Volumes by Cylindrical Shells, Length of a Plane Curve,04 Area of a Surface of Revolution

05 Work , Moments, Centers of Gravity, Centroids

06 Integration by Parts, Integrating Trigonometric Functions

07 Trigonometric Substitutions, Integrating by Partial Fractions08 Numerical Integration, Improper Integrals

09 Modeling with Differential Equations, Separation of Variables,10 Slope Fields, Euler’s Method

11 First-Order Differential Equations, Sequences12 Monotone Sequences, Inﬁnite Series

13 Convergence Tests, The Comparison

14 Ratio, and Root Tests

15 Alternating Series; Absolute and Conditional Convergence,16 Maclaurin and Taylor Polynomials

17 Maclaurin,Taylor Series, Convergence,18 Differentiating and Integrating Power Series

19 Tangent Lines and Arc Length for Parametric Curves,20 Polar Coordinates

21 Tangent Lines, Arc Length, and Area for Polar Curves22 Conic Sections Rotation of Axes; Second-Degree Equations

23 Conic Sections in Polar Coordinates