Course contents
Calculus II
6 chapters · 61 sections · 610 questions with worked solutions.
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1. Integration Techniques
10 sections2. Applications of Integrals
5 sections- 3-1Parametric Equations and Curves
- 3-2Tangents with Parametric Equations
- 3-3Area with Parametric Equations
- 3-4Arc Length with Parametric Equations
- 3-5Surface Area with Parametric Equations
- 3-6Polar Coordinates
- 3-7Tangents with Polar Coordinates
- 3-8Area with Polar Coordinates
- 3-9Arc Length with Polar Coordinates
- 3-10Surface Area with Polar Coordinates
- 3-11Arc Length and Surface Area Revisited
4. Series and Sequences
18 sections- 4-1Sequences
- 4-2More on Sequences
- 4-3Series - The Basics
- 4-4Convergence and Divergence of Series
- 4-5Special Series
- 4-6Integral Test
- 4-7Comparison and Limit Comparison Tests
- 4-8Alternating Series Test
- 4-9Absolute Convergence and Divergence
- 4-10Ratio Test
- 4-11Root Test
- 4-12Strategy for Series
- 4-13Estimating the Value of a Series
- 4-14Power Series
- 4-15Power Series and Functions
- 4-16Taylor Series
- 4-17Applications of Series
- 4-18Binomial Series
5. Vectors
4 sections6. 3-Dimensional Space
13 sections- 6-1The 3-D Coordinate System
- 6-2Equations of Lines
- 6-3Equations of Planes
- 6-4Quadric Surfaces
- 6-5Functions of Several Variables
- 6-6Vector Functions
- 6-7Calculus with Vector Functions
- 6-8Tangent, Normal and Binormal Vectors
- 6-9Arc Length with Vector Functions
- 6-10Curvature
- 6-11Velocity and Acceleration
- 6-12Cylindrical Coordinates
- 6-13Spherical Coordinates