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