MAT 180 - Calculus & Analytic Geometry I

5 Credit(s)

First in a sequence of three courses including analytic geometry, differential calculus, and integral calculus. Recommended for majors in mathematics, computer science, physical sciences, or engineering. Includes analytic geometry, functions, limits, continuity, the derivative and differentials, applications of the derivative, and differentials, antidifferentiation, indefinite and definite integrals, and applications of definite integral.

Prereqs: MAT 171 with a grade of C or better or both MAT 168 and MAT 158 with a grade of C or better or placement into MAT 180
Course Type: Lecture
Tuition Tier: Base
Delivery Method:
In-Person, Remote, Flex, Hybrid
Course Learning Outcomes:
CLO 1) Students will evaluate limits graphically and algebraically.
CLO 2) Students will use limits to determine if a function is continuous.
CLO 3) Students will find derivatives by using the basic definition involving a limit.
CLO 4) Students will find derivatives of polynomial, rational, radical, trigonometric functions, composites of such functions, and implicitly.
CLO 5) Students will use first and second derivatives with algebraic analysis to produce an accurate graph of a given function.
CLO 6) Students will evaluate definite integrals by using the basic definition involving the limit of a Riemann sum.
CLO 7) Students will evaluate integrals, using substitution where appropriate.
CLO 8) Students will use integration to solve simple differential equations.
CLO 9) Students will use integration to solve simple differential equations, find areas of regions, lengths of curves, surface areas and volumes of solids of revolution.
CLO 10) Students will use calculus in applications involving related rates, differentials, rectilinear motion, moments and centroids of plane regions, fluid force, and work.