MTH112: Calculus 2

See the main Courses page for more information on the structure of the introductory courses. Below is textbook information and an abbreviated list of the topics in MTH112.

Textbook: Calculus, Single Variable, 6th edition by Deborah Hughes-Hallett, et al. Available through the Smith Bookstore and most online retailers. 

Course Topics: 

  • Understanding Integrals Graphically, Verbally, Numerically, and Symbolically
  • First and Second Fundamental Theorems of Calculus
  • Techniques of Integration
    • Integration by Substitution
    • Integration by Parts
    • Partial Fractions Decomposition
    • Trigonometric Substitution
  • Applications of Integration
    • Improper Integrals
    • Volumes of Revolution
    • Volumes of Fixed Cross-Section
    • Density and Center of Mass
    • Probability, Median, and Mean
  • Differential Equations
    • Slope Fields
    • Euler’s Method
    • Separation of Variables
    • Applications and Modeling including Newton’s Law of Cooling, the Logistic Model for Population and others
  • Sequences and Series
    • Basics of Sequences
    • Geometric Series
    • Tests for Convergence
    • Power Series 
    • Taylor Polynomials and Taylor Series