Course Topics

Unit 1: Integration Techniques
- Review of Definite and Indefinite Integrals
- Substitution Method
- Integration by Parts
- Trigonometric Substitutions
- Partial Fractions
Unit 2: Applications of Integration
- Area between Curves
- Volume of Revolution
- Arc Length and Surface Area
- Improper Integrals
Unit 3: Sequences and Series
- Sequences and Convergence- Series and Convergence Tests
- Power Series and Taylor Series
- Applications of Taylor Series
Unit 4: Parametric Equations and Polar Coordinates
- Parametric Equations and Their Derivatives
- Parametric Equations and Their Integrals
- Polar Coordinates and Their Graphs
- Calculus with Polar Coordinates
Unit 5: Vectors in Two and Three Dimensions
- Introduction to Vectors
- Vector Operations (Addition, Subtraction, Scalar Multiplication)
- Dot Product and Cross Product
- Applications of Vectors
Unit 6: Introduction to Differential Equations
- Basic Concepts and Terminology
- First-Order Differential Equations
- Second-Order Differential Equations
- Applications of Differential Equations

Calculus II