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