MATH221 - Calculus I

General

Prefix

MATH

Course Number

221

Course ID

00161721

Course Level

Undergraduate

Instruction Mode

Lecture

Description

Limits, continuity, differentiation, applications of derivatives, integration. Prereq.: MATH 115, or MATH 112 and MATH 113, or high school advanced algebra and trigonometry with a satisfactory math placement score.

Notes

Go to www.stcloudstate.edu/mathplacement Placement req prior to Registration

Cross Listed Courses

Prerequisites

Credits

Min

4

Max

4

Repeatable

No

Goals and Diversity

MN Goal Course

Yes

MN Goal Designation(s)

04

Cultural Diversity

No

Learning Outcomes

Outcome

Calculate limits using graphical, algebraic and numerical methods and the Squeeze Theorem.

Outcome

Determine continuity of a function at points, identify various types of discontinuities and identify intervals of continuity for functions.

Outcome

Calculate derivatives from the definition and using differentiation rules and implicit differentiation.

Outcome

Use differentiation to identify tangent lines, to solve geometric problems and to solve problems involving rates of change.

Outcome

Solve optimization and related-rates problems by analytic methods.

Outcome

Graph a function, showing all relevant information such as relative extrema, inflection points, and asymptotes, with analytic methods and without the aid of graphing technology.

Outcome

Approximate roots of equations by using the bisection method and Newton¿s method.

Outcome

Calculate integrals by using the Fundamental Theorem of Calculus, u-substitution, and observations about symmetry of graphs.

Outcome

Use integration to find the area under a curve, to solve problems involving net change, and to solve other geometric problems.

Outcome

State and apply named theorems of calculus (the Intermediate Value Theorem, the Mean Value Theorem, and the Fundamental Theorem of Calculus).

Outcome

Identify whether a derivative or an integral (or neither) is more appropriate for use in a given problem.

Outcome

Communicate their knowledge of the basic principles of Calculus I, both orally (e.g. class discussions) and in writing (e.g. written assessments).

Course Outline

Course Outline

-

Dependencies

No dependencies