MAT 191 - Calculus and Analytic Geometry 1

4 credit hours - Four hours weekly; one term.
This course meets the Mathematics General Education Requirement

Find limits, derivatives and integrals of functions. Apply these concepts to explicit, implicit, algebraic, trigonometric and transcendental functions, using derivatives to analyze graphs and to model real situations.

Prerequisite(s): MAT 151  or MAT 146  or equivalent, or completion of three years of high school mathematics including trigonometry and achieving an appropriate score on the mathematics part of the ACT or SAT or the Mathematics Placement Test.

Crosslisted: Also offered as MAT 191H ; credit is not given for both MAT 191 and MAT 191H .

Note: Credit is not given for both MAT 191 and MAT 122 or MAT 191 and MAT 230 . Typically offered at MC, AM, and OL; fall, spring, and summer terms.

Course Outcomes:

1. Find the limits of functions algebraically, numerically, and/or graphically, and interpret these limits.
2. Perform differentiation on functions, including transcendental functions, algebraically, numerically, and graphically.
3. Analyze graphs and behaviors of functions with regard to rate of change and concavity.
4. Model problems from the sciences that involve rates of change.
5. Find indefinite and definite integrals of functions, including some transcendental functions.