# MATH221 - Calculus I

## General

Prefix
MATH
Course Number
221
Course ID
00161721
Course Level
Instruction Mode
Lecture
Department(s)
Mathematics & Statistics
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

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).

No dependencies