# MATH221 - Calculus I

## General

- Prefix
- MATH

- Course Number
- 221

- Course ID
- 00161721

- 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).

## Dependencies

No dependencies