Martin Flashman's Courses
Math 110 Calculus II Summer, '01
Current as of 7-31-01
MTWR 12:00-13:15 SH 128 [Occasionally R SH 118]

Summer, 2001     Problem Assignments(Tentative as of 6-02-01)      M.FLASHMAN
MATH 110 : CALCULUS II                  Stewart's Calculus 4th ed'n.
(*= interesting but optional)

 Assignments and recommended problems I  6/5--> Background Reality Check  6/5 -->IV.D 1-11 odd  23. 24   6/6--> 4.10. 43, 45, 47, 48, 51, 52   6/7 -->10.2  (i) 2-6, 9, 11, *15   6/7   -->   (ii) 21, 23  6/6->  IV.E 5-9 odd (a,b), 20 21,24   6/7 ->Read pp 416-422 exponential functions, I.F.2 , 428-430 (review of logs)  6/7 -->I.F.2   3, 4  6/11-> Read  VI.A, do7.2 (i) 29, 33, 34, 37, 47-51, 57, 61, 63, 53  6/12->           (ii) 60, 62, 70, 71-77 odd, 79, 80, 85, 86  6/11-> 7.3 Review of logs 3-17 odd, 31, 33, 35, 41, 47, 59-61, *78  6/11-> Reality Quiz #1 (Pick up at Library 48)  6/12--> Read VI.B.  6/12 -> 7.4 (i) 3-9 odd, 25, 28, 8, 22   6/12->     (ii) 15, 13, 35, 52  6/13->  Log diff'n (iii) 45-47, 53, 58, *64  6/13 ->  Integration (iv) 65 - 71 odd  6/13 -->   VI.B: 13,14  6/14--> Read  VI.C  6/14 --> p468 :19, 23, 33, 37, 51  6/14 -> Read about the inverse tangent function on p472-3. Do:7.5 , 2a,3a,5b, 16 Assignments and recommended problems II  6/18--> VI.D  1-4; 9-13; 21 *(22,23)  6/18--> 7.5 (i) 25-27,34,38, *58         (ii) 59, 62, 64, 67, 69, 70, 74*, 75*               (iii) 22, 23, 24, 29, 20, 47, 48, 63, 68  6/19--> Read VII.C  6/19-->  8.1 ( integration by parts)  (i) 1-11 odd; 33, 51, 54  6/20-->      (ii) 15, 21, 23, 25, 29, 30, 41, 42, 45, 46  6/20--> 10.3  (separation of variables) 1,3,4,7, 9, 10, 15  6/21 -->  10.4. (growth/decay models) (i) 1-7 odd ;   6/21 -->                   (ii) 9-11;  6/25->                    (iii) 13,14, 17  6/21->       10.5  (logistic models) 1, 5, *(11,12 POW?)  6/25->       8.7 (numerical integration) (i) 1,4, 7a, 11(a,b), 27 ( n= 4, 8), 33a  6/27->          (simpson's method) (ii) 7b, 11c, 31, 32, 35, 36, *44, 29                    More help on Simpson's rule, etc can be found in  V.D
Assignments and recommended problems III
 6/25->      Begin to Read VII.F(rational functions)  6/26 -> 8.4 (i) 13,14, 29  6/28->      (ii) 15, 16, 17, 20, 21 changed 6/26   7/9->         (iii) 25, 31, 35, 36, 62  6/26-> 8.8 (improper integrals) (i) 3, 5,7,8,9, 13,21, 41  6/27->               (ii) 27-30, 33,34, 37,38  7/2 ->              (iii) 49, 51, 55, *60, 61, 57, 71  7/9 ->Read IXA  7/10 ->      IXA:  1-3, 4, 6, 8, 9, 10  7/10 -> Read IX B   7/11-12-> IX B: Problems  1,2,4, 5, 7, 11, 13,14, *23  7/12->IX.C:   (i) 1-5  7/12->IX.C    (ii) 6-8  7/13-> IX.C   (iii) 11,13,15-17  7/16-> IX.D: 1,3,5,8,10, 14, 15 7/17->read 12.1 pp 727-729, examples 5-8 (sequences converge)also  X.A  7/18->    12.1: 3-23 odd  7/18 -> read 12.2 pp 738 -741 (series- geometric series)  7/19-> 12.2  (i) (series- geometric series): 3, 11-15, 35-37, *51  7/19 ->   read 12.2 pp 742-745   7/23->(ii) 21-31 odd, 41- 45, 49, 50  7/23-> read 12.3:   7/24->       (i) 1, 3-7  7/24->           (ii) 9-15 odd  7/23 Optional: Read X.B1_4  7/17 -> 8.2 (trig integrals) (i) 1-5, 7-15 odd  7/23->     (ii) 21-25 odd, 33, 34, 45, 44, 57, *(59-61)  8.3 (trig subs)  7/30->      (i) pp 517-519 middle: 2,4,7,11  7/31->        (ii) pp 519-520: 3,6, 19, 9  8/1->       (iii) pp 521-522: 1,5, 21, 23, 27,  29  Ch 8 review problems: 1-11 odd, 33, 35
Assignments and recommended problems IV
 7/30-> Read 7.7 p 487 note 3 : (i) 5-11 odd   7/31->       Read examples 1-5: (ii) 21, 27, 29, 15, 23, 18, 33   8/2 ->  read examples 6-8   (iii) 39-43 odd; 47-51 odd, 67, 71    8/6->      (iv) 55, 57; 63; 69, *96, *97  8/7-> 11.6 : read pp 709-10 (i) 1-7 odd; 27, 29  8/7->       read pp 711-12(ii) 11-14; 31,33  ->         (iii) 19-22; 37,39; 47, *50  8/7->    9.1 :  1,3; 19, 21      9.2?:  5, 7, 9      9.5 : 1, 3, *7 7/31?-> 12.4: (comparison test) (i) 3-7  ->           (ii) 9-17 odd  7/30-> 12.6:  Use the ratio test to test for convergence. 2, 17,23,20, 29, 31, *34  7/30-> read 12.6 through example 5.  8/1->12.6: 3-9 odd, 19,20, *(31,32), 33, 35  8/1-> Optional: Read X.B5  7/30 -> 12.5: 3-11 odd; 21, 23, 27, *35  8/2-> 12.7: 1-11 odd  8/2-> Optional: Read XI.A  8/6-> 12.8: 3-11 odd  8/6 Read only->12.9   ->12.9: 3-9 odd, 25, 29  8/8->12.10: 31,35,56, 41, 45, 57, 58

 Week Mon. Tues. Wed. Thurs. 1 6/4 Introduction & Review 6/5 Differential equations and Direction Fields IV.D 6/6 Euler's Method IV.E 6/7 7.2 The natural exponential function. I.F.2; e and y = exp(x)  Models for (Population) Growth  and Decay: y' = k y; y(0)=1. k = 1.VI.A 2 6/11 More on the exponential function.VI.A  The natural logarithm function.I.F.2  y = ln (x) and ln(2) 6/12 Models for learning.  y' = k / x; y(1)=0. k =1; VI.B  logarithmic differentiation.  7.3 & 7.4, 7.2* 6/13.   Connections: 7.4* VI.C  ln(exp(x)) = x  exp(ln(y)) = y  The Big Picture 6/14 Breath...Arctan.VI.D 3 6/18 Begin Integration by parts. 8.1 and VII.C. 6/19 More integration by parts.  Separation of variables. 10.3 6/20 Growth/Decay Models. 10.4 .  The Logistic Model 10.5 6/21 Numerical Integration.(Linear)  Begin Integration of rational functions VII.F 4 6/25 Integration of rational functions I.  Improper Integrals I 6/26 Improper Integrals II.  More Numerical Integration. (quadratic) V.D 6/27 Rational functions II. 6/28 Not on Exam I  Improper Integrals III 5 7/2 NOT ON EXAM I    Rational functions III. VII.F 7/3Exam I Covers [6/4,6/27] 7/4  Indep. Day  NO CLASS 7/5 NO Class (Replaced by class on 7/13) 6 7/9  Taylor Theory I. IXA  Taylor theory II.Applications: Definite integrals and DE's 7/10  Taylor theory III.IXB. 7/11 Taylor theory IV. IX.C 7/12 IX.D  Finish Taylor theory.  Discuss Math'l Induction. 7/13 Finish Taylor theory. Makeup class for 7/5 7 7/16 Trig Integrals I [sin&cos] 7/17Begin Sequences and series X.A  Geometric sequences. Sequence properties. 7/18 Use of absolute values. Incr&bdd above implies convergent.  Geometric series. 7/19 . Trig Integrals II  [sec&tan]  Geometric and Taylor Series. Series Conv. I divergence test 8 7/23 NOT ON EXAM II  Series Conv. II  positive series & Integral test 7/24 NOT ON EXAM II  Series Conv. III Positive comparison & ratio test 7/25  Exam II Covers [6/22,7/19] 7/26 Trig substitution I (sin) L'Hopital's rule I  Series Conv. IV(alt Series) 9 7/30  Trig substitution(tan) Inverse Functions (Arcsin)  L'Hopital's rule II 7/31  Trig substitution III ( sec)  Series Conv. V Absolute conv and general ratio test 8/1  L'Hopital III  Power Series I (Using the ratio test - convergence)XI.A 8/2 Series Conv.VI  cond'l conv and alternating series  L'Hopital IV  Power Series II (Interval of convergence)XI.A 10 8/6 Power Series III  (DE's and Calculus)  Conics I Intro to loci-analytic geometry issues (parabolae, ellipses)  Arc Length VIII.B 8/7 L'Hopital IV (proof?)  Conics II hyperbolae 8/8 Review & Summary of Series Calculus.  Probability and calculus? 8/9  Final Examination
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Summer, 2001                 COURSE INFORMATION              M.FLASHMAN
MATH 110 : CALCULUS II                      MTWR 12:00-13:15 P.M. SH 128
OFFICE: Library 48                                        PHONE:826-4950
Hours (Tent.):  1:30-2:20           AND BY APPOINTMENT or by CHANCE!
E-MAIL:flashman@axe.humboldt.edu WWW:      http://flashman.neocities.org/
***PREREQUISITE: Math 109 or permission.

• TEXTS: Required: Calculus 4th Edition by James Stewart.(Brooks/Cole, 1999)

• Excerpts from Sensible Calculus by M. Flashman as available from Professor Flashman on the web..
• Catalog Description: Logarithmic and exponential functions, inverse trigonometric functions, techniques of integration, infinite sequences and series, conic sections, polar coordinates.
• SCOPE: This course will deal with a continuation of the theory and application of what is often described as "integral calculus" as well as the calculus of infinite series. These are contained primarily in Chapters 7 through 11 of Stewart. Supplementary notes and text will be provided as appropriate.
• TESTS AND ASSIGNMENTS There will be several tests in this course. There will be several reality check quizzes and cooperative problem assignments, and two midterm exams.
• Homework assignments are made regularly and should be passed in on the due date.

• Homework is graded Acceptable/Unacceptable with problems to be redone. Redone work should be returned for grading promptly.
***Exams will be announced at least one week in advance.***
• THE FINAL EXAMINATION WILL ON AUGUST 9th, 12:00 to 1:50.
• The final exam will be comprehensive, covering the entire semester.
• MAKE-UP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES!
• It is the student's responsibility to request a makeup promptly.
• *** DAILY ATTENDANCE SHOULD BE A HABIT! ***
• Partnership Activities: Every two weeks your partnership will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. Partners will receive corrected photocopies.

• Your summaries will be allowed as references at the final examination only.

Each week partnerships will submit a response to the "problem/activity of the week." These problems will be special problems distributed in class (and on this web page) or selected starred problems from the assignment lists.

All  cooperative problem  work will be graded 5 for well done; 4 for OK; 3 for acceptable; or 1 for unacceptable; and will be used together with participation in writing summaries in determining the 80 points allocated for cooperative assignments.

• GRADES: Final grades will be determined taking into consideration the quality of work done in the course as evidenced primarily from the accumulation of points from tests, various individual and cooperative assignments.
• The final examination will be be worth either 200 or 300 points determined by the following rule:

• The final grade will use the score that maximizes the average for the term based on all possible points.
 2 Midterm exams 200 points Homework 50 points Reality Quizzes 100 points Cooperative work 50 points Final exam 200/300 points TOTAL 600/700 points

The total points available for the semester is either 600 or 700. Notice that 200 of these points are not from examinations, so regular participation is essential to forming a good foundation for your grades as well as your learning.

MORE THAN 3 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.
** See the course schedule for the dates related to the following:
No drops will be allowed without "serious and compelling reasons" and a fee.
No drops will be allowed.
Students wishing to be graded with either CR or NC should make this request to the Adm & Rec office in writing or by using the web registration procedures.
See the summer course list for a full list of relevant days.
• Technology: The computer or a graphing calculator can be used for many problems.
• We will use Winplot. Winplot is freeware and may be downloaded from Rick Parris's website or directly from one of these links for Winplot1or Winplot2. This software is small enough to fit on a 3.5" disc and can be used on any Windows PC on campus. You can find introductions to Winplot on the web.
• Graphing Calculators: Graphing calculators are welcome and highly recommended. Most graphing calculators will be able to do much of this course's work. I may use the HP48G for some in-class work but will generally use Winplot. HP48G's will be available for students to borrow for the term through me by arrangement with the Math department. Supplementary materials will be distributed if needed. If you would like to purchase one or have one already, let me know.
• I will try to help you with your own technology during the optional "5th hour"s, or by appointment (not in class). Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class..
• Optional "5th hour"s: Many students find the second semester of calculus difficult because of weakness in their Calculus I and pre-calculus background skills and concept. A grade of C in Math 109 might indicate this kind of weakness. Difficulties that might have been ignored or passed over in previous courses can be a major reason for why things don't make sense now. I will organize and support additional time with small (or larger) groups of students for whom some additional work on these background areas may improve their understanding of coursework. Later in the semester optional hours will be available to discuss routine problems from homework and reality check quizzes as well as using technology. These sessions should be especially useful for students having difficulty with the work and wishing to improve through a steady approach to mastering skills and concepts.