| Subject | %(approx) | Topics |
| Basic Derivatives | 10% | Derivatives of basic functions; chain rule; higher-order derivatives; implicit differentiation |
| Basic Integrals | 15% | Definite and indefinite integrals, including substitution |
| Min-Max and Related Rates | 15% | Expect one word problem and one 'basic' problem of each sort |
| Limits and Continuity | 10% |
Computation of limits and determination of continuity from limit/continuity laws. |
| Vectors | 10% | One problem to make sure you know the basic definitions/operations |
| Theory | 15% |
Proofs of limit/continuity laws. Meaning and use of IVT, MVT, Rolle, Bolzano. Definition of the integral; Riemann sums. Fundamental Theory of Calculus - both forms. There will be an extra credit problem on mathematical induction. |
| Applications of the integral | 10% | Area bounded by curves
Volume of revolution |
| Miscellaneous and applications | 15% | Equations of tangent lines
Graphing Approximations Sigma Notation Other applications of MVT and 2nd derivative |
SUGGESTED REVIEW PROBLEMS: