MAT 220 - Calculus and Analytic Geometry I

1. review pre-calculus topics including solving and graphing polynomial, rational, logarithmic, exponential, and trigonometric functions;
2. interpret and solve growth and decay application problems;
3. analyze and evaluate limits;
4. analyze and interpret the concept of continuity of functions;
5. analyze the concept of the derivative verbally, numerically, and analytically;
6. calculate derivatives of polynomial, rational, logarithmic, exponential, and trigonometric functions;
7. calculate derivatives of the products, ratios, and composition of functions;
8. interpret and solve applied problems using the derivative;
9. analyze, interpret, and apply the Mean Value Theorem;
10. define and evaluate right and left hand Reiman sums;
11. analyze the concept of the integral verbally, numerically, graphically, and analytically;
12. calculate integrals of basic polynomial, rational, logarithmic, exponential, and trigonometric functions;
13. calculate integrals of basic products, ratios, and composite functions using substitution.