This page provides links to exams used in previous semesters of Ma115 and Ma116. The exams are in two different formats, PDF format (pdf) and TCI-LaTeX format (snb). The pdf links can be read using Adobe's free Acrobat Reader. The snb links can be read using any of the MacKichan products Scientific NoteBook, Scientific Workplace, Scientific Word or their free browser Scientific Viewer.
Download
| Term | No. | Topics Covered | Exam | Solutions | ||||
|---|---|---|---|---|---|---|---|---|
| 03F | Ex1 | Limits, continuity, definition of derivative, rules for polynomials | ||||||
| 03F | Ex2 | Differentiation rules, chain rule, inverse functions, extreme values | ||||||
| 03F | Ex3 | Curve sketching, optimization, indeterminant forms, definite integrals, Fundamental Thm | ||||||
| 03F | Ex4 | Integration techniques, improper integrals, areas, separable equations | ||||||
| 03F | Fin | Cumulative (Ex1-4) | ||||||
| 02F | Ex1 | Functions, limits, derivatives, differentiation rules | ||||||
| 02F | Ex2 | Implicit differentiation, derivatives of inverse functions, curve sketching, optimization | ||||||
| 02F | Ex3 | L'Hospital's rule, antiderivatives, definite integrals, Fundamental Theorem, improper integrals | ||||||
| 02F | Fin | Cumulative (Ex1-3); areas, separable differential equations | ||||||
| 01F | Ex1 | Functions, limits, derivatives | ||||||
| 01F | Ex2 | Differentiation rules, the tangent line | ||||||
| 01F | Ex3 | Optimization, curve sketching, L'Hospital's rule | ||||||
| 01F | Ex4 | Definite integrals, Fund. Theorem, improper integrals | ||||||
| 01F | Fin | Cumulative (Ex1-4); volumes of revolution | ||||||
| 00F | Ex1 | Limits, derivatives, tangent lines | ||||||
| 00F | Ex2 | Differentiation rules, max/min, related rates | ||||||
| 00F | Ex3 | Optimization, curve sketching, fund theorem | ||||||
| 00F | Ex4 | Areas, volumes of revolution, improper integrals | ||||||
| 00F | Fin | Cumulative; see Ex1-4 | ||||||
| 99F | Ex1 | Limits, derivatives, tangent lines | ||||||
| 99F | Ex2 | Differentiation rules | ||||||
| 99F | Ex3 | Logarithms, optimization, related rates | ||||||
| 99F | Ex4 | Integration techniques, vectors | | | |||||
| 99F | Fin | Cumulative; see Ex1-4 | ||||||
| 98S | Ex1 | Limits, derivatives, tangent lines | ||||||
| 98S | Ex2 | Differentiation rules, optimization | ||||||
| 98S | Ex3 | Related rates, fund theorem, integration | ||||||
| 98S | Ex4 | Logarithms, integration techniques, areas | ||||||
| 98S | Fin | Cumulative; see Ex1-4 |
| Term | No. | Topics Covered | Exam | Solutions | ||||
|---|---|---|---|---|---|---|---|---|
| 04S | Ex1 | Sequences, infinite series, convergence tests, power series, Taylor polynomials | ||||||
| 04S | Ex2 | Vectors, dot & cross products, lines, planes, space curves, motion in space, graphs of z = f(x,y) | ||||||
| 04S | Ex3 | Partial derivatives, directional derivatives, extreme values, double integrals, iterated integrals | ||||||
| 04S | Fin | Cumulative (Ex1-3); double integrals | ||||||
| 03S | Ex1 | Infinite series, power series, Taylor series | ||||||
| 03S | Ex2 | Vectors, lines, planes, parametric curves | ||||||
| 03S | Ex3 | Multivariable functions, surfaces, derivatives, extreme values | ||||||
| 03S | Fin | Cumulative (Ex1-3); double integrals | ||||||
| 02S | Ex1 | Infinite series, power series, Taylor series | ||||||
| 02S | Ex2 | Vectors, parametric curves | ||||||
| 02S | Ex3 | Functions of 2-3 variables, surfaces, tangent planes | ||||||
| 02S | Fin | Cumulative (Ex1-3); double integrals | ||||||
| 01S | Ex1 | Infinite series, power series | ||||||
| 01S | Ex2 | Taylor series, vectors, lines and planes | ||||||
| 01S | Ex3 | Vector functions, functions of several variables | ||||||
| 01S | Ex4 | Functions of several variables, derivatives, optimization | ||||||
| 01S | Fin | Cumulative; see Ex1-4 | ||||||
| 00F | Ex1 | Areas, volumes of revolution, space curves | ||||||
| 00F | Ex2 | Improper integrals, infinite series | ||||||
| 00F | Ex3 | Taylor series, functions of two variables | ||||||
| 00F | Ex4 | Partial derivatives, optimization | ||||||
| 00F | Fin | Cumulative; see Ex1-4 | ||||||
| 00S | Ex1 | Vectors, space curves, particle motion | | | | | ||||
| 00S | Ex2 | Sequences, infinite series, Taylor series | | | | | ||||
| 00S | Ex3 | Partial derivatives, optimization | | | | | ||||
| 00S | Ex4 | Double integrals, polar coordinates | | | | | ||||
| 00S | Fin | Cumulative; see Ex1-4 | | | |||||
| 98F | Ex2 | Polar coords, complex numbers, vectors, infinite series | | | | |