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Calculus II

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 Fractions

08 Numerical Integration, Improper Integrals
09 Modeling with Differential Equations, Separation of Variables,

10 Slope Fields, Euler’s Method
11 First-Order Differential Equations, Sequences

12 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 Curves

22 Conic Sections Rotation of Axes; Second-Degree Equations

23 Conic Sections in Polar Coordinates

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