Catholic Tech

Calculus II

Course Topics

  1. Unit 1: Integration Techniques
    • Review of Definite and Indefinite Integrals
    • Substitution Method
    • Integration by Parts
    • Trigonometric Substitutions
    • Partial Fractions
  2. Unit 2: Applications of Integration
    • Area between Curves
    • Volume of Revolution
    • Arc Length and Surface Area
    • Improper Integrals
  3. Unit 3: Sequences and Series
    • Sequences and Convergence- Series and Convergence Tests
    • Power Series and Taylor Series
    • Applications of Taylor Series
  4. 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
  5. 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
  6. Unit 6: Introduction to Differential Equations
    • Basic Concepts and Terminology
    • First-Order Differential Equations
    • Second-Order Differential Equations
    • Applications of Differential Equations


The course syllabus is subject to change at the discretion of the instructor. Any modifications or updates will be communicated in advance.