Revised
Math 1700 Outline
Proposal
| Section | Topic | Time (50 min. periods) |
| 1.1 | 1 | |
| 1.2 | Graphs in and | 1 |
| 1.3 | Algebra in | 1 |
| 1.4 | The dot product | 1 |
| 1.5 | Determinants, areas, and volume | 1 1/2 |
| 1.6 | Equations of lines and planes | 1 |
| 2.1 | Functions | 1 |
| 2.2 | Functions and graphing technology | 1 |
| 2.3 | Functions from to | 1 |
| 2.4 | The wrapping function and other functions | 1 |
| 2.5 | Sketching parametrized curves | 1 |
| 2.6 | Composition of functions | 1 1/2 |
| 2.7 | Building new functions | 1 1/2 |
| 3.1 | Average velocity and average rate of change | 1 |
| 3.2 | Limits: an intuitive approach | 1 |
| 3.3 | Instantaneous rate of change: the derivative | 1 |
| 3.4 | Linear approximations of functions | 1 1/2 |
| 3.5 | More on limits | 1 |
| 3.6 | Limits: a formal approach | 1 |
| 4.1 | Sum and product rule, higher order derivatives | 1 (+1/2) |
| 4.2 | The quotient rule | 1 |
| 4.3 | The chain rule | 1 |
| Supp. | Derivatives of ln and exp functions | 1 |
| 4.4 | Implicit differentiation | 1 1/2 |
| 4.5 | Higher order Taylor polynomials | 1 |
| 5.1 | Asymptotes | 1 |
| 5.2 | Increasing and decreasing functions | 1 |
| 5.3 | Increasing and decreasing curves in the plane | 1 |
| 5.4 | Concavity | 1 |
| 5.7 | Applications of maxima and minima | 1 1/2 |
| 5.8 | The remainder theorem for Taylor polynomials | 1 |
| 6.1 | Antiderivatives and the integral | 1 |
| 6.2 | The chain rule in reverse (Substitution) | 1 1/2 |
| 6.3 | Acceleration, velocity, and position | 1/2 |