

Course ID:  MATH 2200. 4 hours. 
Course Title:  Analytic Geometry and Calculus 
Course Description:  Introductory differential calculus and its applications. Topics
include limits, continuity, differentiability, derivatives of
trigonometric, exponential and logarithmic functions,
optimization, curve sketching, antiderivatives, differential
equations, and applications. 
Oasis Title:  ANALY GEO AND CALC 
Duplicate Credit:  Not open to students with credit in MATH 2250 or MATH 2400 or MATH 2400H 
Prerequisite:  MATH 1113 
Semester Course Offered:  Offered fall, spring and summer semester every year. 
Grading System:  AF (Traditional) 

Course Objectives:  This is an introductory calculus course. Students should
understand the concept of limit and the meaning and import of
continuity. The student should understand the concept of the
derivative, and be able to calculate the derivatives of
algebraic, exponential, logarithmic, and trigonometric
functions.
Students are expected to set up and solve maximum
and minimum problems using the methods of calculus. Students
should be able to use calculus to make approximations and sketch
graphs. Students should also be able to calculate
antiderivatives and solve some elementary differential
equations. The student should, in addition, understand the
meaning and application of the derivative in the context of
economics. 
Topical Outline:  1. Overview of course. Limits and continuity.
2. Tangent lines, velocity, rules for differentiation;
differentiation of trigonometric, exponential, and logarithmic
functions. Implicit differentiation.
3. Rates of change and related rates applications.
4. Increasing/decreasing functions, concavity, limits involving
infinity, extrema of functions, curve sketching.
5. Optimization applications.
6. Derivatives and linear approximations.
7. Business applications.
8. Antiderivatives, separable differential equations and
applications. 