MTH111: Calculus 1

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 MTH111.


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

Course Topics: 

  • Continuous Functions and Limits
  • Understanding Derivatives Graphically, Verbally, Numerically, and Symbolically
  • Basic Derivatives
  • Differentiation Rules
    • Power Rule
    • Product Rule
    • Quotient Rule
    • Chain Rule
    • Derivatives of Inverse Functions
  • Applications of Derivatives
    • Implicit Differentiation
    • Tangent Line Approximations
    • Modeling and Optimization
    • Related Rates
    • l’Hopital’s Rule for Limits
  • Differential Equations
    • Writing Differential Equations
    • Slope Fields
    • Solving Differential Equations with Antiderivatives
  • Understanding Integrals Graphically, Verbally, Numerically, and Symbolically
  • First and Second Fundamental Theorems of Calculus