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 .

Location(s) Typically Offered: Arnold Main Campus (MC) and Online (OL)

Term(s) Typically Offered: Fall, spring, and summer

Course Outcomes:
Upon successful completion of this course, a student will be able to:

Find the limits of polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic functions algebraically, numerically, and/or graphically, and interpret these limits.
Perform differentiation on polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic functions, algebraically, numerically, and/or graphically.
Analyze graphs and behaviors of polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic functions with regard to rate of change and concavity.
Model problems from the sciences that involve rates of change.
Find indefinite and definite integrals of polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic functions.