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.
Athena Title
Analytic Geometry and Calculus
Prerequisite
MATH 1113 or MATH 1113E
Semester Course Offered
Offered fall, spring and summer
Grading System
A - F (Traditional)
Student Learning Outcomes
Students should understand the concept of limit and the meaning and import of continuity.
Students 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.
Students should, in addition, understand the meaning and application of the derivative in the context of
economics.
Topical Outline
Overview of course. Limits and continuity.
Tangent lines, velocity, rules for differentiation; differentiation of trigonometric, exponential, and logarithmic
functions. Implicit differentiation.
