MATH 221 - Calculus for Technology I

1. Evaluate limits, including limits at infinity.
2. Determine where a function is continuous or discontinuous
3. Find the derivative of a function from the limit definition.
4. Find derivatives of algebraic, trigonometric, and transcendental functions using the rules of differentiation.
5. Solve application problems involving the derivative as a rate of change.
6. Find equations of tangent and normal lines to curves.
7. Find related rates and solve related rates problems.
8. Use derivatives to find local and absolute extrema, determine concavity and inflection points, find intervals on which a function is increasing or decreasing, and sketch functions.
9. Solve applied optimization problems.
10. Solve applications including instantaneous velocity and acceleration.
11. Solve application problems using differentials.
12. Determine area under a curve by limits of finite sums.
13. Evaluate definite integrals using the Fundamental Theorem of Calculus and find areas under or between curves using definite integrals.
14. Find indefinite integrals using the basic integration formulas and by substitution.
15. Find volumes of revolution using the disk, washer, and shell methods.
16. Find centroids and solve applied problems in work and fluid pressure.
17. Find the mean value and the root mean square of a function on an interval.
18. Use technology as appropriate to enhance course objectives.

• Limits
• Continuity and discontinuity
• Derivatives
• Applications of derivatives
• Integrals
• Applications of integrals

 
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Exam Requirements: 

• Must be proctored 
• No student-provided materials  
• No open books 
• No take-home