Calculus I

TBC 1620 is a calculus course for mathematics and engineering majors, and includes the topics of limits, continuity, derivatives of algebraic and transcendental functions, applications of the derivative, antiderivatives, introduction to the definite integral, and the Fundamental Theorem of Calculus.

On successful completion of this course (i.e. by passing this course), a student will be able to

1. Understand how the concepts of continuity and limits are used to define the derivative.
2. Use various rules for finding derivatives.
3. Apply theorems presented in class to justify analytical properties of functions.
4. Use knowledge of differentiation to solve practical problems in related rates, linear approximation, and optimization.
5. Demonstrate basic proficiency with a computer algebra system.
6. Show a beginning familiarity with the idea of the antiderivative and integral calculus, including the Fundamental Theorem of Calculus.