| MA 127 Calculus I & II - Block 3 2002 |
| WEEK TWO - | DETAILED SCHEDULE AND HOMEWORK |
| Monday | |
| To Prepare: | |
| Sections Covered: | Sections 3.11*, 4.2, 4.4, 4.9*, 5.1, 11.2 |
| Topics: | Differentials*, the Mean Value Theorem, L'Hospital's rule, Newton's method*, finding areas using calculus and/or ingenious methods. The Geometric series. |
| Quiz Two: | where incr, decr, where max/min, where i.p., read graph visually |
| Tuesday | |
| To Prepare: | |
| Sections Covered: | Sections 5.2, 5.3, 5.4, 5.5 |
| Topics: | The fundamental theorem. Functions with their variable as a limit of integration. Substitution rule. |
| Homework Three: | Due by 5 p.m. today. |
| Wednesday | |
| To Prepare: | Look through the website at the cylindrical shells diagrams. Be familiar with work = force times distance. |
| Sections Covered: | Sections 6.1 - 6.4 |
| Topics: | Applications of the integral: Area, Volume, Work. |
| Quiz Three: | Using the closed interval method to find a
max/min (4.1), Geometric series, and the harmonic series diverges (Section 11.2) Riemann sums and finding areas (section 5.1 and 5.2) |
| Thursday | |
| To Prepare: | View Web images of Cycloids |
| Sections Covered: | Section 8.1, 10.1 - 10.3, 7.2 |
| Topics: | The struggle for arclength. The area and arclength of the cycloid. Calculus with parametric curves. Trigonometric integrals. |
| Lab Two: | 1:30 p.m. - 3:00 p.m. in Palmer 14. on parametrics |
| Friday | |
| To Prepare: | Look at the polar graphs, in particular the five leaved rose and the limacon |
| Sections Covered: | Section 10.4 - 6 |
| Topics: | Polar Coordinates. Calculus in polar coordinates |
| Homework Four: | due today at 5:00 p.m. |
* Starred topics to be covered if time permits
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