MATH 191 Course Information




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Calendar of class material and homework
Date Day Sections and material covered Homework assignment Due date
(due in recitation) 		Suggested extra problems (will not be collected
1/24
 M
Overview: integration and series.
 No homework

1/26
 W 4.5: Riemann sums, definite integrals.  Area.
 4.5:  1, 5, 25, 33, 37.
 1/28
1/28
 F
 4.6:  Properties of integrals.  Average values of functions.
 4.6:  5, 11, 33, 45.
 2/4
1/31
 M
 4.7:  Fundamental theorem of calculus.
 4.7:  1, 4, 7, 15.
 2/4
2/2
 W
 4.6:  Mean value theorem for integrals.
4.7:  Review of fundamental theorem.
4.8:  Substitution in indefinite integrals.
 4.7:  29, 35, 47.
 2/4
2/4
 F
 4.8:  Substitution in definite integrals.
4.9:  The trapezoid rule.
 4.8:  7, 13, 25.
4.9:  7 (I), 23 (a).
 2/11
2/7
 M
 4.9:  Simpson's rule.
 4.9:  7(II), 23(b), 25(a),(b).
 2/11
2/9
 W
 5.1:  Areas between curves.
5.2:  Example: volume of a pyramid.
 5.1:  4, 13, 27, 53.
 2/11
2/11
 F
 5.2:  Volumes by slicing (integrating cross-sectional area).
5.3:  Volume of a solid of revolution.
 5.2:  1, 7, 10.
5.3:  5, 12.
 2/18
2/14
 M
 5.3, 5.4: Volumes by washers and shells.
 5.3: 7, 11, 23.
5.4:  9, 19.
 WILL NOT BE COLLECTED
2/16
 W
 5.5, 5.6: Arclengths, area of surfaces of revolution.
 5.4:  29, 37.
5.5: 11, 21.
 WILL NOT BE COLLECTED
2/18
 F
Review class.
 5.6: 13, 21, 25(a).
 WILL NOT BE COLLECTED
2/21
 M
Review for Prelim #1 No homework

2/22
 T 
 PRELIM #1


2/23
 W
 6.1:  Inverse functions.
 6.1:  11, 15, 31, 34.
 2/25
2/25
 F
 6.2:  The natural logarithm function.
 6.2:  1, 3, 29, 31.
 3/4
2/28
 M
 6.2:  Logarithmic differentiation.
6.3:  The exponential function.
 6.2:  46, 49, 55.
6.3:  3, 10, 13, 33, 49, 65.
 3/4
3/2
 W
 6.4:  a^x, log with base a.
6.5:  law of exponential change.
 6.4:  5, 11, 15, 19, 41, 47.
 3/4
3/4
 F
 6.5:  Exponential growth and decay.
 6.5:  7, 13, 18, 23.
 3/11
3/7
 M
 6.6:  L'Hopital's rule.
6.6:  7, 11, 23, 41, 43, 54.
 3/11
3/9
 W
 6.8:  Trig functions and their inverses.
 6.8:  1, 5, 15.
 3/11
3/11
 F
 6.9:  Derivatives of inverse trig functions.
 6.9:  13, 14, 39, 51, 59, 65.
 3/18
3/14
 M
 6.10:  Hyperbolic functions.
 6.10:  1, 10, 13, 21, 45.
 3/18
3/16
 W
 6.10:  Inverse hyp. functions and their derivatives.
6:11:  Separable 1st order ODE.
 6.10:  61, 65, 71(a), 79, 81.
6.11:  3, 11.
 3/18
3/18
 F
 6.11:  Linear 1st order ODE. 6.11:  17, 26, 35, 37, 47, 57.
 4/1
3/28
 M
 Review for Prelim #2 No homework

3/29
 T
 PRELIM #2


3/30
 W 7.1:  Simplifying integrals.
 7.1:  18, 40, 43, 52, 53, 59, 61, 65, 81.
 4/1
4/1
 F
7.2:  Integrating by parts.
 7.2:  6, 7, 17, 29, 33.
 4/8
 7.2:  2, 3, 8, 23, 27, 30,  31, 41(a).
4/4
 M
 7.3:  Partial fractions.
 7.3:  5, 7, 9, 13, 17.
 4/8
 7.3:  6, 8, 19, 41.
4/6
 W
 7.3:  More partial fractions.
7.4:  Trig substitution.
 7.3:  19, 23.
7.4:  5, 7, 23.
 4/8
 7.3:  20, 26, 39.
4/8
 F
 7.4:  More trig sub.
7.6:  Improper integrals.
 7.4:  1, 3, 9, 29.
7.6:  1, 3, 21.
 4/15
 Find arclength of y=x^2, 0<=x<=1.
7.6:  24, 29, 32.
4/11
 M
 7.6:  Comparison tests.
 7.6:  37, 41, 51, 55.
 4/15
 7.6:  38,  42, 50, 53.
4/13
 W
 8.1, 8.2:  Sequences.
 8.1:  3, 12, 15, 19.
8.2:  5, 17, 19.
 4/15
 8.1:  33, 39.
8.2:  27, 62.
4/15
 F
 8.2:  Examples.
8.3:  Series.  Geometric and telescoping series.
 8.2:  71, 72.
8.3:  9, 11, 16, 45.
 4/22
8.3:  17, 48, 54.
4/18
 M
 8.4:  Integral test.
 8.4:  2, 3, 5, 6, 21, 34.
 4/22
 8.4:  35, 36, 42.
4/20
 W
 8.5:  Comparison tests for series.
 8.5:  1, 4, 23, 24.
 4/22
 8.5:  11, 14, 31, 35, 40.
4/22
 F
 8.6:  Ratio test.
8.7:  Alternating series test.
 8.6:  1, 2, 5, 7, 19.
8.7:  1, 6.
 4/29
4/25
 M
Review for Prelim #3 No homework

4/26
 T
 PRELIM # 3


4/27
 W
 8.7:  Alternating series, absolute and conditional convergence.
8.8:  Power series.
 8.7:  3, 5, 7, 11, 14, 46.
 4/29
 8.7:  28, 51, 62.
4/29
 F
 8.8:  Convergence of power series.
 8.8:  1, 5, 10, 17.
 -----
5/2
 M
 8.8:  More on power series.
8.9:  Taylor series.
 8.8:  39, 40, 41.
 -----
5/4
 W
 8.9, 8.10:  More on taylor series.  Taylor's formula.
 8.9:  1, 2, 7, 12, 17.
8.10:  1, 3, 8, 17 		---- 8.10:  find Maclaurin series for cos x, show converges to cos x for all x.  Read examples 1, 4, 5, 6.  Find Maclaurin series for ln(1+x).
5/6
 F
 Review for the Final No homework -----
5/19
 R
 FINAL EXAM (9am -- 11:30)



Prelim One Information
Prelim One will be held on Tuesday 2/22 in Malott 203 from 7:30 until 9pm.  There will be 6 questions,
which may cover any of the material seen in class or homeworks up to the time of the exam.  Problems should be
similar in nature to those in the homeworks.
Prelim Two Information
Prelim Two will be held on Tuesday 3/29 in Malott 203 from 7:30 until 9pm.  There will be 6 questions,
which may cover any of the material seen in class or homeworks from Chapter 6 in the textbook.
Prelim Three Information
Prelim Three will be held on Tuesday 4/26 in Malott 203 from 7:30 until 9pm.  There will be 6 questions,
which may cover any of the material seen in class or homeworks from Chapter 7, and sections 1 through 5 of Chapter 8, in the textbook.
Practice problems:
Also see Problem 3 on each of Fall 2002 prelim three and practice prelim three in Prelim 2 information above.
Also Problems 4 and 5 from Fall 2002 final exam (no solution available).

Final Exam Information
The Final will be held on Thursday 5/19 from 9am until 11:30 in Malott 406.  There will be 10 questions.
The exam will cover material from the entire semester, with an emphasis on the material not covered in
any of the Prelims.  (About 25% to 30% will be on material from Sections 8.6, 8.7, 8.8, 8.9, 8.10.)

Review sessions / office hours:   I  have reserved Malott 203 for help sessions from 2pm to 4pm each of Monday, Tuesday and Wednesday of
the week of the exam.  You may also e-mail me with questions.

Here is a copy of the Fall 2004 final exam (ignore the two blank pages).  Note we haven't seen how to do Question 10.

Here are solutions to the Fall 2004 final exam (NOTE: ignore Q10, also ignore the solution to Q9(a) -- we haven't seen binomial series,
but you can solve the problem without knowing about binomial series.)

Here is the Spring 2005 final exam and solutions.  Mean score was 119/200.


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