MTH 200 - Applied Calculus
An intuitive introduction to the principal ideas of differential and integral calculus. Among the topics covered are: functions (including exponential and logarithmic), limits, differentiation, and integration. Emphasis will be placed upon the use of calculus in solving problems from areas including business, economics, and the social and natural sciences.
Prerequisite: MTH 165 with grade of C or better, or MCC Level 9 Mathematics placement, or equivalent.
SUNY General Education: SUNY-M - Mathematics (SMAT)
MCC General Education: MCC-CT - Critical Thinking (MCT), MCC-QL - Quantitative Literacy (MQL)
Course Learning Outcomes
1. Evaluate limits using analytical methods.
2. Evaluate limits using numerical methods.
3. Evaluate limits graphically.
4. Apply the definition of continuity at a point to determine continuity.
5. Examine the relationship between the limit definition of a derivative and the average rate of change of a function.
6. Apply the rules of differentiation to obtain derivatives of functions.
7. Sketch a function by interpreting the derivatives of the function.
8. Find the local or relative extreme values of a function by interpreting the derivatives of a function.
9. Evaluate antiderivatives using analytical methods.
10. Evaluate definite integrals.
11. Examine the relationship between the area under a curve and the definite integral.
12. Evaluate partial derivatives of functions of several variables.
13. Evaluate second order partial derivatives of functions of several variables.
14. Solve application problems by applying calculus techniques.
Course Offered Fall, Spring