MSU MATHEMATICS

MTH 132-012
MTH 132-016

Fall 2003

Old Announcements: (latest on top)

Test 3 Wed Nov 19 in class. Come 5 minutes early for extra time. Material: Graphing with derivatives and asymptotes; anti-derivatives, substitution; area under a curve. To prepare: review all your quizzes and homework. The Test problems will be largely drawn from these, though they might be harder than the quiz problems.
Test II Wed Oct 15, in class. Covering: Derivative rules (Ch 2.2−2.5); implicit differentiation and tangents to curves Ch 2.6); related rates (Ch 2.7); max/min values of functions (Ch 3.1, 3.3); optimization (Ch 3.6). The best practice for the derivative rules is the Gateway Exam II. Practice with the review problems below (HW for Oct 13).
Homework Project is due Oct 10 (instead of a quiz). The revised assignment is here. You should start on it right now, since several of the problems do not use any calculus.
Gateway Exam II runs Mon Sept 29 to Fri Oct 24, covering the derivative rules we learned in class. You can go right now, and try it as often as you like until your differentiation skills are good enough. Once you pass, you earn 10 extra course-points.
Test I Average: 85/100.
Test I Mon Sept 15 in class.
- Come 5 minutes early for extra time. Bring a basic calculator.
- Material covered: Ch 1.1−2.1, but especially 2.1.
- Study the Review Sheet and Homework Project (Solutions), your Quizzes, and the Daily Homework.
Some tips on the Homework Project due Friday.
- Ques #1: I gave some hints for (c) and (d) in class, using the identity(a−b)(a²+ab+b²) = a³−b³.
- Ques #2: The point here is to get a numerical computation of thederivatives of x^1/3 and sin(x), independent of Ques #1.
  (a) Compute Δf/Δx = ( (2+h)^1/3 − 2^1/3 ) / hfor some small values of h, for example h = 0.00001 andh = -0.00001, so that the two results agree to 3 decimal places.
  (b) Compute Δf/Δx for the intervals [0.0,0.1], [0.1,0.2], [0.2,0.3], ...., [1.9,2.0].
  For example, for x = 0.3, Δf/Δx = ((0.4)^1/3 − (0.3)^1/3) / 0.1 .
  The result will be a table of approximate values for the derivativefunction f '(x).
  (c) Do the same as (b), except for the function f(x) = sin(x). Here we donot yet know an algebraic answer, but the numerical method works just thesame:for example Δf/Δx = (sin(0.4)−sin(0.3)) / 0.1
- Ques #3. Use the handout "Graphing with Excel". There are some typos in theoriginal document, which have now been corrected:
  In cell B4 (not in cell B5), you should type Df/Dx
  In cell C4 (not in cell C5), you should type df/dx
  In cell C5 (not in cell C6), you should type =1/3*a5^(-2/3)
- Make a photocopy of your answers to study from. I will go over the answers on Friday.
Here is the corrected sheet on How to Graph with Excel to use in the Homework Project, Ques 3.
Get a start on the Homework Project which should be handed in on Fri Sept 12.
Semester Syllabus and Schedule now available.
If you need help with the homework, get free tutoring at the Math Learning Center in the lobby of Wells Hall A, or look in the online Solutions Manual (log in and go to Course Information), or call the publisher's Help Line: 1.888.777.0463, Sun-Thur 5pm-midnight.

Old Homework: (latest on top) Tips Free Tutoring

Oct 13, Review for Test II: Ch 2 Practice, p. 181, #1--48 (as many as possible), 81, 83, 85, 87, 111, 112, 115, 117.
Ch 3.3 #9--27 odd numbers: just find the candidates for max/min, and the actual max/min values, which might be infinite.
Ch 3.6 #23, 29, 31, 35, 53. Ch 3 Practice, p. 271, #67.
Oct 10: Homework Project due: Solutions. No Quiz.
Start on the Test II Review problems (HW Oct 13).
Oct 8: Ch 3.6 #3, 5, 7, 9, 13, 17, 19, 25.
Continue Homework Project due 10/10.
Oct 6: Ch 3.1 #1--17 odd numbers, 31, 32.
Continue Homework Project due 10/10: revised assignment here.
Oct 3: Quiz: Implicit differentiation, related rates.
Start on Homework Project due 10/10.
Oct 1: Ch 2.7 #1, 3, 4, 7, 13, 14, 17, 19, 23, 24, 27, 31, 37.
Sept 29: Ch 2.3 #7, 10, 11, 13, 16
Ch 2.6 #3, 5, 7, 8, 9, 19, 21, 23, 24, 45, 47, 50, 51, 53.
Sept 26: Quiz: Differentiation rules, Chain rule.
Ch 2 Practice, p. 181, #1--39 odd numbers.
Sept 24: Ch 2.5 #1, 3, 5, 9, 11, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37.
Sept 22: Ch. 2.4 #16, 17, 19, 20, 25, 27, 31, 37, 41, 65, 66.
Sept 19: Ch. 2.4 #1, 4, 5, 7, 9, 10, 11, 12, 13, 15, 33, 35, 36, 37, 38, 43.
Sept 17: Ch. 2.2 #5, 7, 9, 17, 19, 21, 22, 25, 27, 28, 33, 35, 36, 39, 43.
Sept 12: Hand in Homework Project. See also: How to Graph with Excel.
Sept 10: Ch. 2.1 #13, 15, 17, 27-30, 34.
Sept 8: Finish previous HW, plus: Ch 2.1 #13, 15, 33.
For #33, write f(x) in a table, and approximate df/dx ~ Δf/Δx .
Sept 5: Quiz 2 covering all previous HW, mainly evaluating limits.
Ch. 1.5 #45, 46, 48.
Ch. 2.1 #1, 3, 6, 7, 9, 10, 11, 12, 14, 16, 17.
Last day to change between sections of Math 132. Go to Wells A-212.
Sept 3: Ch.1.4 #1, 3, 9, 11, 15, 17, 18, 21, 23, 24, 26, 27, 29, 31, 32, 33, 34, 49, 50.
Ch. 1.5 #1, 5, 13, 15, 20, 25, 29, 30.
First day to take Gateway Exam I.
Sept 1: Labor Day Holiday. Get a start on the HW for Sept 3.
Aug 29: Quiz 1 on material of Aug 25, 27
Ch 1.2 #37, 39, 40, 43, 44, 45.
Ch 1.3 #37, 38, 39.
Aug 27: Ch 1.2 #3, 5, 12, 15, 16, 17, 19, 25, 27, 28.
Do 17−28 both algebraically and by estimating the limit numerically.
Aug 25: Ch 1.1 #1, 3, 5, 6, 11, 23, 26, 27, 29, 30, 32, 33.
Old Homework

Updated Sept 7, 2003

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MSU MATHEMATICS

MTH 132-012 MTH 132-016

MTH 132-012
MTH 132-016