| MA 128 Calculus II - Block II 2001 |
| WEEK ONE - | DETAILED SCHEDULE AND HOMEWORK |
| Monday | |
| Sections Covered: | Chapter 5, Sections 6.1 and 6.2 |
| Topics: | Introduction. Riemann sums. Review of integration in
calculus I. Substitution method for integration. Calculating areas. Calculating volumes by using integrals (cross sectional method) |
| To Prepare: | Try some of the substitution examples 1 through 11 from chapter 5. |
| Tuesday | |
| Sections Covered: | Sections 6.3 and 6.4 |
| Topics: | More practice with volumes. The method of cylindrical shells. Work (i.e. the energy quantity from physics). |
| To Prepare: | Look through the website at the cylindrical shells diagrams. Be familiar with work = force times distance. |
| Quiz One: | Integration by Substitution. Areas and Volumes by X-section method (turn in by 3:00 p.m. to my office, room 134). |
| Wednesday | |
| Sections Covered: | Sections 6.5, and 7.1 to 7.3 |
| Topics: | Average value of a function. Methods of integration: (i) Integration by Parts (ii) Trigonometric Integrals (iii) Trigonometric Substitution. We will introduce all integration methods quickly, and then practice them throughout the week. |
| To Prepare: | Recall basic trigonometric identities. |
| Homework One: | Due today by 5 p.m. in the Green labelled boxes beside Palmer 130. |
| Thursday | |
| Sections Covered: | Sections 7.3 and 7.4, 7.6 and part of 7.7 |
| Topics: | (iii) Trigonometric Substitution. (iv) Partial Fractions. Approximate integration. |
| To Prepare: | Recall how to factor quadratics, and perhaps long division of polynomials! |
| Lab One: | 1:30 p.m. - 3:00 p.m. in Palmer 14. Introduction to using Mathematica. Evaluating integrals by computer, both algebraically and numerically. |
| Friday | |
| Sections Covered: | Sections 7.5, 7.7 and part of 7.8 |
| Topics: | Practicing all methods of integration (as well as substitution!). Using tables to evaluate integrals. Improper integrals. |
| To Prepare: | Review and Practice! our four new methods of integration. |
| Homework Two: | due today at 5:00 p.m. |
| Quiz Two: | (turn in by 3:00 p.m. to my office, room 134). Sections 1, 2, and 3 of chapter 7 (Methods of Integration.) Work problems will not be on this quiz. |
| Chapter Six | |
| Section 1 | eoo 1 - 31; 41, 45 (note: eoo stands for every other odd) |
| Section 2 | eoo 1 - 35; 39, 41, 47, 48, 59 |
| Section 3 | eoo 1 - 25; 29, 31 |
| Section 4 | odd 1 - 9; 15, 17 |
| Section 5 | odd 1 - 9; 13, 15, 17 |