| DAILY ASSIGNMENTS | ||
|---|---|---|
| Week 1 (USC classes begin Thursday) | ||
| Aug 19 (F) | Read sections 1.1-1.3. In 1.2, do #2abe, 3, 5, 6. Get a graphing calculator by Monday or Wednesday of next week. If you don't already own one, I suggest any of the TI-83 or TI-84 calculators. | |
| Week 2 (Wednesday is the last day to drop without a grade of W) | ||
| Aug 22 (M) | In section 1.3, do #1, 3, 5, 6, 8. Get a graphing calculator. | |
| Aug 24 (W) | In section 1.3, do #10, 11, 13. Read section 1.4. Definitely come to Friday's class with a calculator. Our first quiz will be on Monday. For each discrete dynamical system in the homework, you should obtain a table of values both without and with a calculator to be certain you obtain the same results with either approach. For those not in class who have a TI-83 or TI-84, you should press MODE to change from FUNC to SEQ. Then press Y= to enter the equations and initial values. Then press TBLSET to say where to start the table. Then press TABLE to get your results. On the TI-82, you have to use WINDOW to enter the intial values. If you figure it out on a TI-89, be prepared to explain it to the few other TI-89 owners on Friday. I seem to no longer have the error problems on my TI-83. If you had errors, try to enter the system again to double-check that you entered everything correctly. | |
| Aug 26 (F) | Read section 1.4 and do #1, 3, 6, 9, 11 from that section. Monday's quiz will cover sections 1.1-1.4. Bring a graphing calculator and know how to use it. I will not answer calculator questions during the quiz. I will answer email definitely up until Sunday at 6:00PM, so email me if you have calculator or other questions. | |
| Week 3 | ||
| Aug 29 (M) | Read section 1.5. | |
| Aug 31 (W) | Do #1, 2, 3 from section 1.5. | |
| Sep 2 (F) | Read section 2.1-2.2 and do #1, 2, 5, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 27 from section 2.2. There will be a quiz Friday on sections 1.5 and 2.2. | |
| Week 4 (Labor Day - Monday) | ||
| Sep 7 (W) | Read section 2.3 and do #1, 9, 10, 11, 12 from that section. Friday's quiz will cover sections 1.5 and 2.2. | |
| Sep 9 (F) | Read section 2.4 and do #2, 4, 15, 16 from that section. | |
| Week 5 | ||
| Sep 12 (M) | No new homework. Read section 2.4 more carefully and finish the homework from that section. | |
| Sep 14 (W) | Try a few additional odd problems from section 2.4 in order to check your answers to those in the back of the book. | |
| Sep 16 (F) | Read section 2.5. Do #12, 13 from section 2.4. Do #1, 4, 6 from section 2.5. Read the summary on page 78 carefully. There will be a quiz Monday on sections 2.3-2.4. There will be a test one week from Monday. | |
| Week 6 | ||
| Sep 19 (M) | Read 3.1 - 3.3. Do #2, 5, 6, 7, 8 from section 3.2. Do #1, 2, 6, 8, 10, 12 from section 3.3. Monday's test will cover up to section 3.3. We will likely have a take-home quiz given Wednesday and due Friday to cover sections 2.5 and 3.1 - 3.3. Today's quiz was also given as a take-home and is due Wednesday. | |
| Sep 21 (W) | No new homework. On Friday I will let you know what to expect for Monday's test. Come with plenty of questions for both Friday and the help session which will be held some time on Sunday. | |
| Sep 23 (F) | Monday's test will cover sections 1.1-1.5, 2.1-2.5, and 3.1-3.3. There will be 12-20 questions including some multiple-choice. If you have any questions about the material, I will have a help session Sunday from 2:30-4:00 in LeConte 412. Monday office hours for next week have been moved to 1:00pm-2:00pm. | |
| Week 7 (Thursday is the last day to drop without a grade of WF) | ||
| Sep 26 (M) | Test 1 | |
| Sep 28 (W) | We went over the test | |
| Sep 30 (F) | Read sections 3.4, 3.5, and the handout on regression. In 3.4 do #4, 5, 8, 12, 13. In 3.5 do #5, 7, 14, 15. | |
| Week 8 | ||
| Oct 3 (M) | There will be a quiz Wednesday on section 3.5. It will cover the following topics: (1) Use logarithm rules to solve equations for some variable. (2) Given an affine system u(n)=au(n-1)+b, be able to quickly say whether u(n) is moving toward or away from equilibrium. By what percentage each time period? Is it oscillating? (3) Given an affine system along with the value of u(n) for some particular n, you should be able to come up with an explicit formula for u(n). This last question may involve coming up with the system yourself given a descriptive paragraph with all the necessary details. | |
| Oct 5 (W) | Read sections 5.1-5.2. There will be a quiz on section 3.4 on Monday. | |
| Oct 7 (F) | Read sections 5.1-5.2 very carefully. I consider this to be one of the most important topics in our course. For homework, do #1, 2, 3, 4 from 5.2. There will be a quiz Monday covering section 3.4 - you will need to know how to do regression on your calculator. | |
| Week 9 (Fall Break - Thursday and Friday) | ||
| Oct 10 (M) | Today's quiz was given as a take-home due Wednesday. Read section 5.3. Do #5, 8 from 5.2. Do #1, 3, 7 from 5.3. Continue the table we made in class today. That is, using r=10/(4+a) as the elimination rate, calculate the number of hours it would take for a typical 140-pound male to reach different values of grams of alcohol in the bloodstream. Do this for someone who drinks 1/2 drink per hour, 1 drink per hour, 2 drinks per hour, 3 drinks per hour, 4 drinks per hour, or 5 drinks per hour. Of interest is 40 grams which would give a blood alcohol content (BAC) of 0.08 (SC value for determining what constitutes DWI). Of further interest is 200 grams which would give a BAC of 0.4 (could result in coma or death). | |
| Oct 12 (W) | Do #5, 8 from 5.2. Do #1, 3, 7 from 5.3. Read sections 6.1-6.2. There will either be a take-home quiz on Monday or an in-class quiz on Wednesday covering sections 5.1-5.3. | |
| Week 10 | ||
| Oct 17 (M) | Reread section 6.2 and read section 6.3. In 6.2 do #1, 3, 4, 5, 6, 8, 10. Wednesday's quiz will be in class and cover sections 5.1-5.3. | |
| Oct 19 (W) | Today's quiz was given as a group open-notes take-home quiz due Friday. The test on Monday will cover up to section 6.2. I'll give specifics on Friday including the time for Sunday's help session. | |
| Oct 21 (F) | Sunday's help session will be in LeConte 412 from 2:30-4:00. Monday's test will cover sections 3.4-3.5, 5.1-5.3, 6.1-6.2. I will provide calculator instructions on doing regression. From 6.2 you should know (memorize or derive) the dynamical system for logistic growth given the intrinsic growth rate and the carrying capacity. In 6.2 questions 6, 8, and 10 asked you to draw several webs. Since we never discussed webs, you can ignore this portion of those questions. | |
| Week 11 | ||
| Oct 24 (M) | Test 2 | |
| Oct 26 (W) | We are finished with the textbook and all material for the rest of the semester will come from lecture. Try not to miss any classes for the rest of the semester. If you have to miss class, then get the notes from another student. Today we reviewed basic derivative rules, the product rule, the quotient rule, and the chain rule. | |
| Oct 28 (F) | We continued to review the meaning of a derivative as a slope or a rate of change. We then reviewed more derivative rules. Here are some review problems on derivatives (part 1 and part 2) given as one combined handout in class. From this handout do the first 5 problems (#1, 2, 4, 5, 11). The rest of the handout is broken up into problems labeled section 4.1, 4.2, 4.3, and 4.4. From 4.1 do #3, 8, 10, 19, 20. From 4.2 do #1, 2, 16, 17, 20. From 4.3 do #3, 8, 9, 10, 12, 15, 20, 25. From 4.4 do #3, 4, 8, 9, 13, 15. The answers are included so block them out until you've worked it out for yourself and then compare your answer with mine. | |
| Week 12 | ||
| Oct 31 (M) | There will be a quiz Wednesday on derivative problems similar to those found on Friday's homework assignment. | |
| Nov 2 (W) | We discussed the differential equation for exponential growth and derived an explicit formula. No new homework | |
| Nov 4 (F) | Do #1-6 from worksheet A. We will have a quiz on this Wednesday. | |
| Week 13 | ||
| Nov 7 (M) | Finish the last problem we worked on in class using a stepsize of 0.1. Also do #7 on worksheet A. To help organize your work, see worksheet B along with the solutions to #1 from that worksheet. There will be a quiz Wednesday similar to #1, 2, 3, 4, 5, 6, 7a on worksheet A. | |
| Nov 9 (W) | Finish all remaining questions from worksheet A and worksheet B. | |
| Nov 11 (F) | We reviewed derivatives, antiderivatives, and integrals, and then discussed ways to find explicit solutions to initial value problems. For homework do the problems from worksheet C. We will have a quiz Wednesday on this material. The test is one week from Monday. | |
| Week 14 | ||
| Nov 14 (M) | Wednesday's quiz will cover the topics on worksheet C. See the worksheet C solutions. | |
| Nov 16 (W) | We discussed further how to obtain the graph of y as a function of x, given the derivative dy/dx and an initial value. | |
| Nov 18 (F) | When the rate of change of a quantity is proportional to that quantity itself ( i.e dP/dt = r*P ) and we have the intial value P(0)=C, then we obtain the solution P=C*e^(rt) where r is the growth rate. For Monday's test you can immediately write down this solution without having to separate variable to derive it. For other initial value problems, you will have to derive the solution. To prepare for the test, you should go over quizzes 7, 8, and 9 (the printed forms are mistakenly labeled 7, 8, and 8), the handout on derivative rules and applications, and worksheets A, B, and C. The help session will be on Sunday from 2:30-4:00pm in LeConte 412. | |
| Week 15 (Thanksgiving Break - Wednesday, Thursday, and Friday) | ||
| Nov 21 (M) | Test 3 | |
| Week 16 (Last Day of Classes - Friday) | ||
| Nov 28 (M) | ||
| Nov 30 (W) | Do the problems from worksheet D. | |
| Dec 2 (F) | The final exam is cumulative. Look at old tests, quizzes, and worksheets in that order. The questions on the final will be similar. There will not be a help session. | |
| Finals Week (Monday, Dec 5 through Monday, Dec 12) | ||
| Dec 7 (Wednesday) | Cumulative Final Exam from 9:00 AM - Noon in D 209 | |