MATH 1131 Syllabus

Subject Code

MATH

Course Number

1131

Course Title

Calculus I

Prerequisites

MATH 1113 with a grade of C or higher or appropriate math placement test score

Corequisites

Terms Offered

Offered Fall and Spring

Credit Hours

(3-1-4)

Course Description

This course includes the study of limits and continuity, derivatives, and integrals of functions of one variable. Applications are incorporated from a variety of disciplines. Students will study algebraic, trigonometric, exponential, and logarithmic functions.

Course Outcomes

Derivatives and Applications
Order		Description
1		Calculate limits of functions Cognitive Application
2		Understand the definition of continuity
3		Differentiate algebraic, trigonometric, exponential, and logarithmic functions.
4		Apply the Chain Rule.
5		Perform implicit differentiation.
6		Calculate higher derivatives.
7		Solve related rate problems.
8		Understand the Mean Value Theorem.
9		Apply the Mean Value Theorem.
10		Apply the First Derivative Test.
11		Apply the Second Derivative Test.
12		Determine the critical numbers and points of inflection.
13		Solve optimization problems.
Introduction to Integration and Applications
Order		Description
1		Find the most general antiderivative of a function.
2		Understand and use sigma notation.
3		Calculate area using the limiting value of approximating polygons.
4		Understand the definition of definite integral.
5		Apply the properties of definite integrals.
6		Apply both parts of the Fundamental Theorem of Calculus.
7		Apply the Substitution Rule for integrals.
8		Calculate the area between two given curves in a plane.
9		Calculate volumes using the disk method and method of cylindrical shells.