Posted Thursday, May 1, 12:30 pm
Done
Week 15.
Tuesday, April 29 -- Day 29: We worked through the Definite Integral (different from the book's 6.3, 6.4) and the Fundamental Theorem of Calculus.
HW April 29: 6.4. (5.5X)
Coming.
Thursday, May 1 -- Day 30 -- Last Day: We plan to go over problems and mention highlights for the Final.
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Finals Week (and beyond.)
Tuesday, May 6: At 10am, and again at 5pm, a general help session. Plan to take questions and discuss ideas for the Final.
Wednesday, May 7, 12:30 -- I will be in my office briefly, available for questions.
Final Exam Thursday, May 8 -- 8-10am for 9:30 class, 10am-12 for 11:00 class, 5:00 for 5:00 class.
Study for the Final: Test 1(all but #6); Test 2 (all but #10, #11); Test 3; Study Guides for Test 1; for Test 2. More specifically, . . .
Informal definition of limit; informal definition of "f(x) is continuous at x = c"; formal definition of derivative, and of antiderivative. Be able to state the Fundamental Theorem of Calculus.
Quite a few limits, lots of derivatives, several antiderivatives and definite integrals. // (Intelligent) technology graphs.
No 4-Step Method, no compound interest.
Applications: Word problems, 4.1, 4.2, 4.4, 5.5X.
New since Test 3: Integration by substitution; evaluating definite integrals; Fundamental Theorem.
Monday, May 12: Semester grades are due by 10pm.
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Past
Week 1.
Tuesday, January 15 -- Day 1: Distributed the firstday handout, called the roll, talked through the handout. Then we discussed the central, most fundamental idea in calculus: limits. We worked through tables and did some work with the graphical approach.
HW Jan 14: 1.3, 1.4, 2.1, 2.2; 2.4A, B
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Thursday, January 17 -- Day 2: Worked through several examples and ideas.
HW Jan 16: (1.3, 1.4, 2.1, 2.2) from last time; will be turned in first thing on Tuesday.;
2.4A, B, C, D.
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Week 2.
Tuesday, January 22 -- Day 3: We collected HW 1: 1.3, 1.4, 2.1, 2.2. We went over the homework from 2.4 and worked on "limits at infinity."
HW Jan 22: 2.4E, 2.5A, B
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Thursday, January 24 -- Day 4: We put up Ideas 1-10, in summary form. We talked through #82, 83 from the homework. We discussed Idea 11: "3 types of limits and one variation"; and Summary on the Three Approaches. Then we quickly went over 5.1 on Exponential Functions; and we started 5.2 on Logarithmic Functions.
HW Jan 24: (2.4E, 2.5A, B, again; the quiz Tuesday will be based on this.); 5.1A,B; 5.2 A, B, C; 5.3A, B.
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Week 3.
Tuesday, January 29 -- Day 5: We worked on properties of logarithms and exponential functions. We had Quiz 1, over analytical evaluation of limits.
HW Jan 29: 5.1A,B; 5.2 A, B, C; (5.3A, B -- to be assigned Tuesday, Feb 5.)
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Thursday, January 31 -- Day 6: No class. I must attend a meeting.
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Week 4.
Tuesday, February 5 -- Day 7: We discussed solving equations with logs and exponentials, and then we worked through a "Summary on Analytic Methods." We gave back the quiz. HW Feb 5: 5.2C again, and the handout "Special Exercises on Limits". We will put many of these on the board next time.
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Thursday, February 7 -- Day 8: Students put up many problems from the "Special Exercises on Limits." We introduced the idea of "derivative."
HW Feb 7: No new homework. Look at 2.6, and try the 2.6 homework.
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Week 5.
Tuesday, February 12 -- Day 9: No class -- bad weather.
Thursday, February 14 -- Day 10: The 9:30 class -- Semo was not scheduled to start until 10:00. From 10:00 - 10:50 we went over more examples on the idea of the derivative. We discussed the derivative last week and there are good examples in the book (Section 2.6), listed in the homework assignment sheet, keyed to the problems assigned. This was an optional session; but everyone is expected to dig this out; we will go over it next Tuesday, and it will be on the test next Thursday. HW Feb 14: 2.6 A, C, X#1, 2.
For the classes at 11:00 and 5:00 -- Semo was in session. We did the same as for the 9:30 class: examples on the idea of the derivative. interest. With a little more time, we gave more examples, in more detail. HW: Same as for the 9:30 class.
Some notes on 4-Step Method Examples are available at the Useful Links page (from the 139 homepage).
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Week 6.
Tuesday, February 19 -- Day 11: We went go over the homework from Feb 14. We put off the test to Tuesday, February 26. We did another example on 4-Step Method -- see the posted examples at the Useful Links page (from the 139 homepage). We did another example on average and instantaneous rate of change (see Applied Example 6 in the book, page 143). We discussed the rates of change, and worked through "Three Interpretations" (of derivative and of the difference quotient). Then we started discussing compound interest.
HW Feb 19: 2.6B; X1,X2 (again). 2.6C (read, try these -- might be a little challenging. We'll discuss them in class.)
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Thursday, February 21 -- Day 12: No class -- bad weather.
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Week 7.
Tuesday, February 26 -- Day 13: We went over some of the homework from last week, and we talked through some of 2.6C. We completee our discussion of discrete compound interest, and then worked through the simplest rules for derivatives -- Section 3.1.
HW Feb 26 (due next Tuesday): 5.3A, 3.1
Wednesday, February 27, noon: Old tests will be available, and we'll take questions on the test.
Thursday, February 28 -- Day 14: Test 1. See the Review for Test 1 at the Useful Links page.
HW Feb 28: 5.3A, 3.1
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Week 8.
Tuesday, March 4 -- Day 15: Weather complicates attendance -- several people were not be able to attend class. But today's ideas can all be learned by reading the book and thinking. Everyone -- whether they attended or not -- is responsible for learning what we did today, perhaps only from the book.
1. We put problems on the board from 5.3 and 3.1. We talked through 3.1 problems 45 and 46 -- the key idea is that the tangent line is horizontal wherever
f'(x) = 0.
2. We talked through the Product Rule and the Quotient Rule -- read Section 3.2 with the examples, especially pages 174-176 with examples 1 - 5.
3. We did an example on Continuous Compound Interest (5.3B), very much like Table 3 on page 352. Know the formula at the top of page 354.
HW March 4: 3.1X: 47, 48, 49; 3.2A, B; 5.3B. We will probably turn this in, and/or have a quiz on it.
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Thursday, March 6 -- Day 16: We discussed problems from 3.1X. We turned in HW 2 = HW March 4. We discussed the Chain Rule (Section 3.3). We had Quiz 2 on the Product Rule and the Quotient Rule.
HW March 6: 5.3W and 3.3 Coming: 3.5, then probably 3.4, 5.4, 5.5 . . .
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Break March 11, 13.
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Week 9.
Tuesday, March 18 -- Day 17: We put up problems from 3.3. We discussed 3.5 -- Higher Order Derivatives, and we started 3.4 -- Marginal Rates.
HW March 18: 5.3W and 3.5 Next time we will work through the book's examples for 3.4, and assign HW 3.4A, 3.4B. You can work ahead on this.
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Thursday, March 20 -- Day 18: We spent the entire period working through 3.4A and B -- Marginal Cost, Revenue, and Profit.
HW March 20: 3.4A, B (and 5.3W, 3.5)
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Week 10.
Tuesday, March 25 -- Day 19: We put up problems from 3.4A, B. We worked through Section 5.4 (differentiating exponentials), and we started calculator graphing.
HW Tuesday, March 25: See after the test.
Tuesday 6:15 and
Wednesday, March 26 noon: Help -- Old tests will be available, and we'll take questions on the test.
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Thursday, March 27 -- Day 20: Test 1. See the Review for Test 2 .
HW March 27:
5.4 and Technology Problem A: Work with f(x) = x3 - 3x2 - 5x + 11. (1) Find a good window and sketch -- work this way: Make the calculator sketch, with good WIN values. Then write the sketch by hand on paper, and tell what WIN values you use. (2) Find the zeros, using 2nd CALC. Write them. (3) Find any maximums and minimums, and write them in a table --
|
x |
y |
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| Maximum | ||
| Minimum |
(4) Finally, use calculus to find the exact (x, y) values for any maximums and minimums and use a table, as in (3).
This homework will probably be turned in.
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Week 11.
Tuesday, April 1 -- Day 21: We collected HW3 ( = HW March 25 = 5.4 and Tech Problem A). We discussed many ideas in 4.1. We passed out grade slips with scores from Test 1, Test 2, and the test average.
HW April 1: 4.1A, 4.1B.
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Thursday, April 3 -- Day 22: Several problems from 4.1A were put up and discussed. We talked about Section 5.5A -- differentiating logarithms.
HW April 3: 4.1B (Omit 47, 49; but do tell where the function is increasing and where decreasing, as well as where are relative maximums, relative minimums, rest points.) 4.1W. 5.5A. Tech Graphs C, D, E: Graph 4.1 #52, #57, #65 -- sketch on paper by hand from the calculator graph, and tell the WIN values.
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Week 12.
Tuesday, April 8 -- Day 23: We put up problems from HW April 3 and discussed them at length. We started working on Section 4.2 -- Concavity and y" .
HW April 8: 4.1C, 4.1X, 5.5B; Tech Graph E: 4.1 #66 (Graph with a good window.) Be ready to put the graph on the board, with the WIN values.
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Thursday, April 10 -- Day 24: We talked about Tech Graph E and several problems from 4.1. We did more examples from 4.2.
HW April 10: 4.1C. 4.2A, B. Tech Graph F: For y = 2x3 - 9x2 - 60x + 5, (a) Get a good graph -- good WIN values; (b) Report where increasing, where decreasing; (c) Report any relative maxima, relative minima, rest points; (d) Report on concavity (up, down; inflection points.) Tech Graph G: Only get a good sketch for y = 2x2 + 4000/x; sketch and write the WIN values.
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Week 13.
Tuesday, April 15 -- Day 25: We put up problems from 4.2. Turned in HW4 = Tech Graphs F, G. We talked through 4.4. At 9:30 we went over Test 2.
HW April 15: 4.4A, B (coming: C, W).
Thursday, April 17 -- Day 26: We put up problems from 4.4. Gave back HW3 and HW4. Worked through 6.1: Antiderivatives and Indefinite Integrals.
HW April 17: 4.4C, W; 5.5D; 6.1; Tech H, Tech I -- For 4.4 #13 and #14, (1) get sketch with good WIN values; (2) use y' to find relative and absolute maximums and minimums; (3) use y" (or calculator) to describe concavity.
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Tuesday, April 22 -- Day 27: We put a review on the board, and we put up several problems from 4.4 and 6.1. In the 9:30 and 5:00 classes, we did the evaluation. We worked through Integration by Substitution (6.2).
HW April 22: Not until after the Test.
Wednesday, April 23, 12:40: Help Session.
Thursday, April 24 -- Day 28:
Test 3. Covers . Sections 3.1-3.4; 4.1, 4.2, 4.4; 5.3, 5.4, 5.5 (but NOT 5.5C or 5.5D or E). 6.1. Tech graphs. Know the formal definitions for derivative and for antiderivative, and the informal definition of continuous function.
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HW April 24: Read the book's examples 1 through 6 in Section 6.2, then do problem set 6.2. Work on (new) problem set 5.5X: 47, 48, 49, 50, 51, [52], 53, 57, 58.
Hints on 5.5X: 47, 48 -- Example 6 page 163. // 49, 50 -- xy' table. // 50, 51, [52], 57 -- xy" table. On 52, y" = (-3 + 2 ln x)/x3 // 57, 58: x f(x) table.
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