Objective:
The course objective is to acquaint students with calculus principles such as derivatives, integrals, limits, approximation, applications and modeling, and sequences and series. During this course students will gain experience in the use of calculus methods and learn how calculus methods may be applied to practical applications.
Learning Outcomes:
- Upon completion of this course, students will be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal
- And use derivatives to solve a variety of problems among other outcomes
- Understand the connections among these representations and the meaning of the derivative in terms of a rate of change and local linear approximation
General Course Topics:
- Special functions (trigonometric, exponential and logarithmic functions)
- Limits
- Derivatives
- Computational techniques (the power, product and quotient, and chain rules)
- Elementary functions and their inverses
- Implicit differentiation
- Applications of differentiations
- Curve sketching
- Integration
- Infinite series