Math 1710 Outline Proposal
Starting Spring 2008
| Section | Topic | Time (50 Min. Periods) |
| 7.1 | Antiderivatives revisited | 1 |
| 7.2 | Numerical methods | 1 |
| 7.3 | The ln function (A more
formal definition than is in the supplement.) | 1 |
| 7.4 | The function (A more formal definition than is in the supplement.) | 1/2 |
| 7.5 | Skip | 0 |
| 7.6 | Euler's formula | 1 |
| 7.7 | Inverse trigonometric functions | 1 1/2 |
| 7.8 | Derivatives of inverse trigonometric functions | 1 1/2 |
| 7.9 | Tables of integrals (This can be done with the calculator.) | 1 |
| 10.1 | Integration by parts | 1 1/2 |
| 10.2 | Trigonometric substitutions (Yes, these do show up in 2720 and 3740.) | 1 1/2 |
| 10.3 | Rational functions (These show up in 3740.) | 2 |
| 10.4 | Integration factors (Lightly.) | 1 |
| 6.7 | Volumes (We need problems using ln and exp.) | 2 |
| 11.1 | Work | 1 1/2 |
| 11.2 | The work-energy theorem | 1 |
| 5.5 | Tangent and normal components of acceleration | 1 1/2 |
| 5.6 | Circular motion and curvature | 1 1/2 |
| 8.1 | Separation of variables and exponential growth | 1 |
| 8.2 | Equations of the form | 1 |
| 8.3 | The logistic equation | 1 1/2 |
| 9.1 | L'Hopital's Rule | 2 |
| 9.2 | Improper integrals | 1 1/2 |
| 9.3 | Series | 2 |
| 9.4 | Alternating series and absolute convergence | 2 |
| 9.5 | The ratio test and power series | 2 |
| 9.6 | Power series of functions | 2 |
| 9.7 | Radius of convergence for rational functions | 2 |
| 11.4 | Line integrals of Type I and arc length (Optional) | |
| 11.5 | Center of mass and moment of inertia (Optional) | |
| 11.6 | Vector fields (Optional) | |
| 11.7 | Line integrals of type II and work (Optional) | |
| 40 Days |
There are not enought problems for most of the sections If you have
some to contribute, please e-mail them to jay.treiman@wmich.edu.