Martin Flashman's Courses
Math 110 Calculus II Spring, '112
MTRF     3:00-3:50pm     Forestry Bldg 107
SUBJECT TO CHANGE (2-17-2012)

• Winplot Materials: Winplot (freeware for PC's that we will use) may be downloaded from Rick Parris's website or directly from Winplot .

• For an entertaining 20 minute  review of the major concepts of Calculus I, you might try Ed Burger's Calculus  [Contact me for more information.]

CALENDAR SCHEDULE
NOTICE: All items on this syllabus are subject to change.
( last revision noted 1-21-11)
Week
Monday
Tuesday
Thursday
Friday
1  No Class
MLK Day
1-17 Introduction & Review

1-19 More review.
Differential equations and  IVA IVB
IVC
Direction Fields IV.D
1-20  IVA IVB
IVC
Direction Fields IV.D
2
1-23Direction Fields Continued. IV.D

1-24 Euler's Method
IV.E

1-26 Begin Models for (Population) Growth  and Decay:
y' = k y;      y(0)=1. k = 1.
The exponential function.VI.A
estimate e from (1+1/n)n
Models for learning.
y' = k / x;       y(1)=0. k =1  VI.B

1-27 More on the relation between the DE y'=y with y(0)=1  and ex.

3 POW #1 Due Thursday Feb 2
Summary #1 due Wed. Feb 1.
1-30 Models for learning.
y' = k / x; y(1)=0. k =1
VI.B
y = ln (x) and ln(2)
ln|x| and integration of 1/x.
More on ln and exp!
SC VI.C
Review Substitution

1-31
Begin Bounded learning.
Improper Integrals I
2-2
More on improper integrals
Bounded learning and Arctan. VI.D

2-3More DE models.  Separation of variables.
4 POW #2: Due
Thursday Feb 9
2-6 More Review Substitution(ii) Growth/Decay Models. [Symbolic] . The Logistic Model 2-7 More logistic. 2-9 Integration of rational functions I. VII.F 2-10
Rational functions II
5 Summary #2 due Thursday Feb 16

2-13 Rational functions III VII.F
2-14End Rational Functions
Breath
2-16  Improper Integrals II

2-17
Integration by parts I VII.C
6 POW #3: Due Thursday
Feb 23
2-20 Improper Integrals and  comparison tests III 2-22 Integration by parts. II VII.C  Reduction Formula and integration by parts.  2-23 More Comparison Tests for improper integrals.
Numerical Integration. (linear),  V.D

2-24 comparison tests?
7

Summary #3 due Thursday March 1
2-27 Integration by parts (finale?)
Application to estimation of integral

2-28 Start  Taylor Theory for e^x. Taylor .  IXA 3-
Applications: Definite integrals and DE's.
3-2 Taylor theory: Finish  IXA.
IXB MacLaurin Polynomials

Exam I  Self scheduled: Wed. Mar.7
POW #4: Due 3-8
3-5 Review for exam #1 (?)
IXB MacLaurin Polynomials (cont'd)
3-6 Taylor Theory for remainder proven.
3-8 IX.C More on finding MacLaurin Polynomials & Taylor theory.
3-9 More MacLaurin.   IX.D Taylor Theory derivatives, integrals, and ln(x)
Use of absolute values.
How Newton used Geometric series to find ln(.9)
9
NO Classes : Spring Break!

10 Summary #4 due 3-22

3-19 IX.D Taylor Theory derivatives, integrals, and ln(x)
Use of absolute values.
3-20Taylor Theory: End First Round

3-22 Begin Sequences and series. Geometric sequences.

3-23 X.A  Sequence properties: Unification.
Bounded Monotonic convergence Theorem
11 POW #5: Due:  3-29-2012 3-26
Series Conv. I
Geometric and Taylor Series.
geometric series
X.B1_4
Theorem on Rn
Taylor  polys and Series.
3-27 Series Conv. II
Harmonic Series.
The divergence test.
3-29   Incr&bdd above implies convergent.

3-30 NO Class CC Day
12  4-2 Series Conv. III
Positive series & Integral test.

4-3 Positive comparison test

4-5Ratio test  for Positive Series X.B5

4-6Series Conv.  IV Alternating Series Series

13 Summary #5 due 4-12 4-9 Conv.VI Absolute conv. & conditional:  The General ratio test:
Intro to power series concepts of convergence and functions.
Taylor Series convergence.
Series to solve DE's - Motivations
f''(x) = f(x) with f(0)=0 and f'(0)=1
Begin Power Series I  XI.A
4-10
Power Series II (Interval of convergence)XI.A
Taylor Series

4-12 Power Series III (DE's)
Start Trig Integrals I sin & cos
4-13 Power Series IV (Functions and DE's)
Trig Integrals II sec&tan
14 Exam II  self scheduled Wed. 4-18
4-16 Trig substitution (begin- area of circle) I (sin) VII.E

4- 17 Area Revisited
Favorite estimates.
exp(pi*i) = -1
4-19 Area II
Volume I
Trig substitution II (tan and sec) VII.E
4-20 More trig
area
More area ("dy")

15 POW #6: Due Thursday 4-26
4-23 volume I
Work
Parametric curves I
4-24 Parametric curves II :Arc Length VIII.B

4-26 Average Value
Volume II
Polar Curves I

4-27 Polar curves II
Parametric curves III tangents
Conics I Intro to loci-analytic geometry issues.(parabolae, ellipses)
Conics II More on Ellipse and Parabola.
Conics III  The hyperbolae

16
Summary #6 :Thurs 5-5
4-30 Surface Area --?
The conics IV
Hyperbolic functions: DE's, Taylor Series, Algebra  and Hyperbolas.
5-1 Darts  ??
Probability density, mean

5-3 L'Hospital's rule?
Proof Of L'Hospital's Rule?

5-4

17 Final Examination Self scheduled
Review Session:
Sunday 5-6
TBA

5-8
FOR 107:  1500-1700
5-10
ARTA_027    0800-1000
5-11
FH 177:   1020-1220
FOR 107:  1500-1700
Back to Martin Flashman's Home Page :) Back to HSU Math. Department :}

Spring, 2012                 COURSE INFORMATION               M.FLASHMAN
MATH 110 : CALCULUS II                      MTRF     3:00-3:50pm     Forestry Bldg 107
OFFICE: BSS 356                                      PHONE:826-4950
Office hours : BSS 356 MF 13:00-13:50  and by appointment or chance.
BSS 308 T 5:00- 6:00, W 4:00-6:00
E-MAIL:flashman at humboldt.edu                WWW:      http://users.humboldt.edu/flashman/
***PREREQUISITE: Math 109 or permission.

• TEXTS: Required: Calculus, Early Transcendentals, James Stewart, 7th edition (single variable ok). [CET]
• Webassign
• Excerpts from Sensible Calculus by M. Flashman as available from this webpage and Moodle.
• 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 6 through 11 of CET . Supplementary notes and text will be provided as appropriate through this webpage and Moodle.

• \$\$ TESTS AND ASSIGNMENTS: There will be several tests in this course. There will be several reality check quizzes, two midterm exams and a comprehensive final examination.
• We will use the HSU Moodle for some on-line reality quizzes.
• I will drop the lowest 20% of your quiz scores in determining the 100 points allotted for quiz work.
• Background Assessment Quiz (BAQ): During the first week of classes students will take this "quiz", primarily to assess your preparation for Math 110. A poor score indicates a need for some more careful review of material from the first semester of calculus.
For more information or assistance on the material covered in this quiz contact Professor Flashman.
The score that you receive from taking this test counts does not toward your grade. It is required and a completed quiz should be submitted on Moodle no later than 5:00 pm of January 20th.
• Homework assignments are made regularly. They should be done neatly. We will be using WebAssign to grade homework. Record your homework results  by 1:30 PM of the due date.  I will discuss this further at the first class meeting. Problems from the assignments will be discussed in class based on the WebAssign report on submitted homework. Homework assignments will be used in determining the 100 course points.
• HOMEWORK MAY NOT BE GRADED THREE CLASS DAYS AFTER THE DUE DATE.
• You MAY e-mail or submit a written request before the start of class for me to discuss in class a problem or a question you have about the previously assigned reading or problem work.
• I will be available briefly after class and during my office hours and by appointment for other questions.
• Midterm Exams will be self-scheduled and announced at least one week in advance.
• THE FINAL EXAMINATION WILL SELF- SCHEDULED.
Any student may take the final examination at the time listed in the University Exam Schedule:
Friday, May 11   1500-1700
• 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 work:
• Summaries: Every two weeks you 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. The summaries must be submitted in a partnership (2-3 members). Exceptions by permission only.  Each individual partner will receive corrected photocopies.
• Your summaries will be allowed as references at the final examination only.
Summary work will be used in determining the 30 course points allocated for summary work.

• Problem of the Week (POW) On alternate weeks (when a summary is not due) 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 problems from the textbook.
• All  partnership  problem  work will be graded 5 for excellent/well done; 4 for good/OK; 3 for acceptable; or 1 for unacceptable; and will be used  in determining the 50 points allocated for the problem of the week.

• 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 and various  assignments.

•  Background Assessment Quiz 20 points Reality Quizzes 100 points Homework 100 points POW's 50  points Summary work 30 points 2 Midterm Examinations 200 points Final Examination 200 or 400 points Total 700 or 900  points
• The final examination will be be worth either 200 or 400 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.
• MORE THAN 4 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.

Notice that only 400 or 600 of these points are from examinations, so regular participation with reality quizzes, homework, and partnership work is essential to forming a good foundation for your grades as well as your learning.
FINAL GRADES: Though final grades for the course are subject to my discretion, I will use the following overall percentages based on the total number of points for your work to determine the broader range of grades for the course.     A  85-100% ;   70- 84% ;  C  60- 60% ;  D  50- 59%  ;  F   0- 49%

# University Policies

## Add/Drop policy: See the University rules and dates related to the following:

• No drops will be allowed without "serious and compelling reasons" and a fee after this date.
• No drops allowed after this date.
• Students wishing to be graded with either CR or NC should make this request  using the web registration procedures.

## Attendance and disruptive behavior:Students are responsible for knowing policy regarding attendance and disruptive behavior.Attendance and Disruptive Behavior Policy.

• Technology: The computer or a graphing calculator can be used for many problems. We will use Winplot, Microsoft Xcel, and Wolfram|Alpha.

• We may go to the  computer lab a couple of times during the term to get some hands on experience with the software.
• \$\$ Winplot is freeware and may be downloaded from Rick Parris's website or directly from this link for Winplot .
• Graphing Calculators: Graphing calculators are welcome and highly recommended.
• A limited number of graphing calculators are available for students to borrow for the term through the Math department.
• If you would like to purchase a graphing calculator, see me if you would like my advise.
• Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class.
• I do not use a hand-held graphing calculator during class time.
• Lap top computers are welcome in class at tools. (Not for other purposes.) They will not be allowed on exams.
• Only handheld calculators will be allowed on exams.

• \$\$ Use of  Office Hours and Optional "5th hour"s: Many students find  the second semester of calculus difficult because of weakness in their pre-calculus and first semester calculus background skills and concepts.

• A grade of C in your first semester of calculus 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.

You may use my office hours for some additional work on these background areas either as individuals or in small groups. My office time is  also available to discuss routine problems from homework after they have been discussed in class and reality check quizzes as well as using  technology.

Calculus Drop-in Tutoring  from HSU Faculty is available  in BSS 308

 -----Time------ ---Monday---- -----Tuesday---- --Wednesday-- ---Thursday--- ----Friday----
 2-3 PM X X X Johnson 3-4 PM Freedman Haag Freedman Haag Johnson Lauck 4-5 PM Goetz Goetz Flashman x x 5-6 PM Lauck Flashman Flashman x x

Spring, 2011     Problem Assignments - Updated regularly.
NOTICE: All items on this syllabus are subject to change.
(Tentative as of 1-21-2011)
M.FLASHMAN
MATH 110 : CALCULUS II
Early or Just in time: When two due dates are given, the first date is for preparation and/or starting problems, the second date is for completion of related problem work on webassign.

On-line Sensible Calculus is indicated by SC.
Assignments and recommended problems (*= interesting but optional)
Pages in Stewart 7th edition - Need revision.

Assignments are active when a due date has been published.

 Assignment DateDue: Read: Do:(Not collected) Web Assign #1 1/20-23 SC IVA; SC IVB; SC IVC HW #1 Math 110 9.2 I Direction Fields Background Reality Check SC IV.D 1-11 odd [parts a and b only] 23,24 9.2:  pp 585-589 3-6 #2 1/23-24 SC IV.E HW #2 Math 110 9.2 II Euler's Method 5-9 odd (a&b) 9.2:  pp 589-591 19, 21 #3 1/27-30 SC IV.E HW #3 DE's and exp. 20,21,24 3.8 , 9.1 9.1: 3 SC VI.A 9, 10, 15, 16 #4 1/31 SC VI.B 3.1 pp179-181; 3.6 pp 218-220;222 SC VI.C HW #4 110 DE's and ln. (3.6) 13,14 p262: 20, 29, 33 #5 2/2 5.5 HW #5 110 Subst'w/ ln& exp (5.5) 5.5: 1-11 odd #6 2/3 7.8 pp 519-523( omit Ex. 2) HW #6 110 Improper Integration I (7.8) 7.8: 3-13 odd, 8 #7 2/6 SC VI.D 3.5:pg 213-4 HW #7 110 Arctan and more improper integrals (7.8) 1-4;9-13;21,*(22&23) p214: 49, 54 #8 2/7 9.3 pp594-598 HW #8 110 Separable Diff'l Equations (9.3) 9.3: 1-5, 11,19,* 21 #9 2/13 9.4 HW #9 110 Cooling&Pop'n Models &DE's (9.4,3.8) 9.4:  3, 7 #10 2/14 7.4 pp 484-487 VII.F through Example VII.F.5  (rational functions) HW #10 110 Partial Fractions I Quadratics (7.4) 7.4: 1a, 2,  7-11, 15, 19, 21 *SC VII.F :5,6,7,17 #11 2/20 SC VII.F HW #11 110 Partial Fractions II cubics+ 7.4: 3,4, 17,25, 27, 29, 33 *SC VII.F :1,3,10,14,15 #12 2/20-21 7.8: pp523-525 HW # 12 110 Improper Integrals II ( 7.8 ) 7.8: 27-33 odd, 32; 49; *55; 57 #13 2/20-21 7.1 VII.C. Integration by Parts HW #13 110 Integration by Parts ( 7.1 ) 7.1:1-13 odd,26,28, 33,47,48 *[VII.C. 8,33,35] #14 2/27 7.7: pp 506-509; 511-513 Start  reading V.D HW #14 110 Linear Numerical Integration ( 7.7 ) 7.7: 1 (a-c), 31a [*VII.C: 12,16] #15 2/29 7.7: 511-13 More help on Simpson's rule,etc can be found in SC  V.D HW #15 110 Quadratic Numerical Integration ( 7.7 ) 7.7: 27, 29,30 Exam #1 self scheduled Wed. 3-7 covers Assigned Material through Assignment 14. #16 3/8 Read SC IXA HW #16 - report on Moodle SC IXA 1,2, 3, 4, 6, 9, *10 SC IXA 1,2, 3, 4, 6, 9, *10 #17 3/9 Read IX B HW #17 - report on Moodle SC IX B 1,2,4,5,7 SC IX B 1,2,4,5,7 #18 3/?? HW #18 IX B (ii)11,13,14 IX.C (i) 1-4 #19 3/?? IX C HW #19 IX.C 5-9; 12,14,16-18 #19.5 3/?? IX.D X.A IX. D:1,3,5    X.A: 1-3,5,7-9 #20 3/25? 11.1 pp690-696 IX.D X.B1-4 HW #20 110SP12 Sequences I (11.1) 11.1:3-7;9-13 odd;17-21 IX.D: 8,10,14,15 #21 3/29 X.B1-4 11.1 :pp 696-699 11.2 HW #21 110SP12 Series I (11.2) 11.2: 9-17 odd;21-23, 41-43,47-49 #22 4/3 X.B1-4 HW #22 110Sp12 MORE Series II ( 11.2 ) 11.3: 3-6, 11-13, 17,18 11.5:  3-6, 9-11 #23 4/5 11.3 : pp 714-717 HW #23 110Sp12 MORE Series III (Integral) ( 11.3 ) 11.4:3-7 11.6 : 7, 13, 27, 2,8 #24 4/6 X.B5 Ratio Test For Positive Series 11.4: 722-724 HW #24 110SP12 Pos Series Comp&ratio (11.4/11.6) #25 4/9 XI.A 11.5: 11.6 pp 732-736 middle, 737 HW #25 110SP12 Series IV (altern gen'l) 11.5-6 11.6:3-5, 17-19, 31 #26 4/10 HW #26 110SP12 Series V (Ratio gen'l) 11.5-6 #27 4/12 HW #27 110SP12 Power series I (11.8) #28 4/13 7.2: pp471-473 HW #28 110SP12 integrals with sin and cos (7.2) #29 4/16 7.2 pp 473-476 HW #29 110SP12 integrals with sec and tan (7.2) #30 4/16 HW #30 110Sp12 Power series II (11.8&9) Examination #2 Self Scheduled for Wed. April 18 Covers material assigned through #30 Below this line all assignments are  not yet firm and due dates are to be determined. HW #22 - report on Moodle IX. D:1,3,5 X.A: 1-3,5,7-9 7.2 : 7.2: 1-9 odd #28 #29 HW #28 110 Positive Series Comp&ratio (11.4/11.6) HW #29 110 Series IV (Ratio/altern gen'l) 11.5-6 #30 11.8 HW #30 110 Power series I (11.8) 11.8: 3-8, 15,16 #31 7.3 pp 467-469 example 2 5.2: p366-367 6.1:pp:415-417 HW #31 110 Power series II (11.8) 7.3: 7, 13,14, 20, 21 5.2: 17, 19 6.1: 1,2 #32 7.2: pp462-465 HW #32 110 integrals with sin and cos (7.2) 7.2: 21-29 odd; 56,51 #33 7.2 HW #33 110 integrals with sec and tan (7.2) #34 VII.E   Trigonometric Substitutions 7.3 pp 469-471 HW #34 110 trig subs [sin and tan] (7.3) 7.3: 3, 9, 19; 1, 5 6.1: 7, 13 6.2:1,3 #35 6.1:pp 415-418 HW #35 110 Area revisited (6.1) 6.1:3,4,21, 22 #36 6.1 pp418-419 (area) HW #36 110 Areas "dy", sec and trig subs (6.1,) #37 6.2 pp 422-425 example 2 6.2 pp 425-430 (volume) 6.4 (work) HW #37 110 Volume I ;Work I (6.2,6.4) 6.2: 7,19,23,41 6.4: 3, 5,7 Appendix C pp A16-A23 6.5 App C: 1,3,5, 11-23 odd 6.4:13, 17 6.5: 1- 4 10.1 pp 621-623 8.1:p525-526 10.2 pp 633-634 10.2 pp630-633 10.3 pp639-643; 644-646 10.4 pp650, 652 10.1:1,3,5-7,11,12,19,24,28 10.2: 41, 42,45 *48 10.2:1,3,5, 11, 17, 31 10.3: 3,5(i), 15,17,56,57 10.4: 1,9