# MAT 210 Survey Calculus

Exit Skills

1. Perform the various algebra computations encountered in Survey Calculus.
2. Find the derivative of a function using the basic limit definition.
3. Find derivatives using the following: power rule, product rule, quotient rule, chain rule, implicit differentiation, higher order derivatives, and derivatives of exponential and logarithmic functions.
4. Apply derivatives to solve problems of  marginal analysis in business and economics.
5. Analyze a function using derivatives to locate maxima, minima, and inflection points, and sketch the graph.
6. Solve problems involving increments and differentials.
7. Solve related rates problems.
8. Evaluate both indefinite and definite integrals.
9. Solve simple differential equations involving growth and decay.
10. Evaluate integrals using substitution and integration by parts.
11. Evaluate functions of two or more variables and find partial derivatives.
12. Use Second Partial Derivatives Test to find maxima/minima/saddle points for functions of two variables.
13. Use Lagrange Multipliers to maximize/minimize, subject to constraints, a function of two or more variables.
14. Evaluate double integrals over rectangular regions.

Objectives for MAT 210

1. Demonstrate mastery of algebraic skills involving expressions (factoring, rational, exponential, logarithms, and radical) and solving equations (linear, quadratic, exponential, and logarithmic).
2. Find derivatives using all rules including implicit differentiation for algebraic, exponential, and logarithmic functions.
3. Use derivatives for graphing, marginal analysis, increments and differentials applications, and rated rates problems.
4. Evaluate single integrals, both indefinite and definite, by methods of substitution and integration by parts; use single integrals to solve application problems.
5. Evaluate double integrals over rectangular regions.
6. Find partial derivatives of multiple variable functions and solve optimization problems using the Second Partial Derivatives Test and Lagrange Multipliers.

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