Martin Flashman's Courses
Math 110 Calculus II Fall, '09
MTRF     11:00 -11:50 pm    SH 128
Final Topic Check List for Fall, 2009!

• 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.]

 Week Monday Tuesday Thursday Friday 1 8/24 Introduction & Review (Thinkwell) 8/25  More review. Differential equations and  IVA IVB IVC 8/27Direction Fields IV.D 8/28 Euler's Method  IV.E 2 8/31 More Euler's Method Discussed 9/1 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 9/3  Review Substitution More on the relation between the DE y'=y with y(0)=1  and ex. 9/4 More on  y'=y and the exponential function. Models for learning.  y' = k / x; y(1)=0. k =1  VI.B 3 POW #1 Due 9/8 Summary #1 due 9/11 9/ 7 No Class.  Labor Day. 9/8 y = ln (x) and ln(2)  ln|x| and integration of 1/x. More on ln. 9/10 Begin Bounded learning. Improper Integrals I 9/11 More on improper integrals 4 POW #2: Due 9/21 9/14 Bounded learning and Arctan. VI.D 9/15 More Review Substitution(ii) 9/17 More DE models.  Separation of variables.Growth/Decay Models. [Symbolic] . 9/18  The Logistic Model 5 Summary #2 due  9/25 9/21More logistic. Integration of rational functions I. VII.F 9/22  Rational functions II 9/24 Rational functions III VII.F 9/ 25 End Rational Functions 6 POW #3: Due 10/2 9/28  NO Class Flashman Furlough Day. 9/29One more Meany!? Begin Improper Integrals II 10/1  Improper Integrals and  comparison tests III Integration by parts I 10/2Numerical Integration.(Constant and Linear) Integration by parts. II VII.C 7 Summary #3 due 10/9 10/5   comparison tests? Integration by parts (finale?) 10/6 Numerical Integration. (linear),  V.D 10/8 Numerical Integration. (linear and quadratic),  V.D 10/9 Last look at Numerical Integration  (quadratic) V.D Footnote on Integration by Parts: reduction formulae. Start  Taylor Theory? 8  Exam I  Self scheduled: 10/14 10/12 Taylor Theory I.  IXA Applications: Definite integrals and DE's. 10/13 Review for exam #1 (?) 10/15. Taylor theory  IXA.. 10/16 Taylor theory continued for e^x   . 9POW #4: Due 10/19 Summary #4 due 10/23 10/19 Taylor theory  IXA.. 10/20IXB MacLaurin Polynomials 10/ 22MacLaurin Polynomials IXB 10/23 IX.C More on finding MacLaurin Polynomials & Taylor theory. Use of absolute values 10POW #5: Due 11/2 10/26  Geometric sequences. Taylor Theory for remainder proven. 10/27 IX.D Taylor Theory derivatives, integrals, and ln(x).Begin Sequences and series. X.A 10/29 Sequence properties: Unification. 10/30 Series Conv. I   Geometric and Taylor Series. geometric series  X.B1_4 11 Summary #5 due 11/6 11/2  Series Conv. II Harmonic Series. Incr&bdd above implies convergent. 11/3 Series Conv. III The divergence test. 11/5Series Conv.  IV More on geometric series. Intro to power series concepts of convergence and functions. Taylor Series convergence. Theorem on Rn Taylor  polys and Series. 11/6 Positive series & Integral test. 12 11/9 Alternating Series Series to solve DE's - Motivations f''(x) = f(x) with f(0)=0 and f'(0)=1 Positive comparison test 11/10 Ratio test  for Positive Series X.B5 Trig Integrals I sin & cos 11/12 Series Conv.VI Absolute conv. & conditional:  The General ratio test:  Power Series I  XI.A 11/13Power Series II (Interval of convergence)XI.A Trig Integrals II sec&tan  Taylor Series 13 Exam II  self scheduled Tues/Wed. 17/18 11/16 Power Series III (DE's) 11/ 17  Power Series IV (Functions and DE's) 11/19 Area Revisited Trig substitution (begin- area of circle) I (sin) VII.E Favorite estimates. 11/20 NO Class: Furlough Day 14 No Classes  Thanksgiving 11/23 11/ 11/ Thanksgiving 11/ 15 POW #6: Due 11/30 (Changed 11/19) 11/30 Area II Volume I Trig substitution II (tan and sec) VII.E 12/1More trig area volume 12/3 Work More area ("dy") Parametric curves I 12/4  Parametric curves II :Arc Length VIII.B 16Summary #6 due 12/8 12/7Average Value Volume II Polar Curves I 12/8 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 12/10 exp(pi*i) = -1 Darts  ?? Probability density, mean Surface Area --? The conics IV  Hyperbolic functions: DE's, Taylor Series, Algebra  and Hyperbolas. 12/11 L'Hospital's rule? Proof Of L'Hospital's Rule?  How Newton used Geometric series to find ln(.9) 17 Final Examination Self scheduled Review Session: Sunday 2:00- 3:50 PM Come to BSS 308. Sample Final Exam Questions will be available on Moodle by Dec 10. Mon: 12/14 10:20 SH 128 Tues: 12/15 15:00 Art 27 Thurs.: 12/17 10:20 SH 128 Fri: 12/18 10:20 SH 128
Back to Martin Flashman's Home Page :) Back to HSU Math. Department :}

Fall, 2009                 COURSE INFORMATION               M.FLASHMAN
MATH 110 : CALCULUS II                      MTRF 11:00-11:50 A.M. SH 128
OFFICE: BSS 356                                      PHONE:826-4950
Hours (Tent.): MTRF 12:30-1:30 AND BY APPOINTMENT or chance!
E-MAIL:flashman@axe.humboldt.edu                WWW:      http://flashman.neocities.org/
***PREREQUISITE: Math 109 or permission.

• TEXTS: Required: Calculus, Early Transcendentals, James Stewart, 6th edition (single variable ok). [CET]
• Optional : Calculus , CD/Link, by Ed Burger-  Thinkwell Publishing. http://thinkwell.com/
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.

• \$\$ 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.
• Homework assignments are made regularly. They should be done neatly. We will be using Moodle  or WebAssign to grade homework. Record your homework results  by 10:15 AM 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 Moodle report on submitted homework. Homework assignments will be used in determining the 100 course points.
• Using the CD Tutorials: Work on the CD tutorials is optional and will not effect your grade directly.
Purchase and use with a partner is suggested. When a particular tutorial is suggested it should be viewed close to due date of the assignment for most effective useage.

• HOMEWORK MAY NOT BE GRADED THREE CLASS DAYS AFTER THE DUE DATE.
• You MAY submit a written request at the start of class for me to discuss in class a problem or a question you have about the previously assigned reading.
• I will be available 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.
• 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 50 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 starred problems from the assignment lists.
• 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.

•  Reality Quizzes 100 points Homework 100 points POW's 50  points Summary work 50 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.

Students with Disabilities: Persons who wish to request disability-related accommodations should contact the Student Disability Resource Center in House 71, 826-4678 (voice) or 826-5392 (TDD). Some accommodations may take up to several weeks to arrange. http://www.humboldt.edu/~sdrc/
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.
Students are responsible for knowing the University policy, procedures, and schedule for dropping or adding classes. http://www.humboldt.edu/~reg/regulations/schedadjust.html
Emergency evacuation: Please review the evacuation plan for the classroom (posted on the orange signs) , and review http://studentaffairs.humboldt.edu/emergencyops/campus_emergency_preparedness.php for information on campus Emergency Procedures. During an emergency, information can be found campus conditions at: 826-INFO or http://www.humboldt.edu/emergency
Attendance and disruptive behavior: Students are responsible for knowing policy regarding attendance and disruptive behavior: http://studentaffairs.humboldt.edu/judicial/attendance_behavior.php

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

• 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 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 a graphing calculator, let me know.
• 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.

• \$\$ 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 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.

Fall, 2009     Problem Assignments - Updated regularly.
NOTICE: All items on this syllabus are subject to change.
(Tentative as of 8-20-09)
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 problem work.
On-line Sensible Calculus is indicated by SC.
 Assignment DateDue: Read: Do: #1 8-28-31 IVA; IVB; IVC Background Reality Check SC IV.D 1-11 odd [parts a and b only] 23,24 9.2:  pp 572-575 3-6 #2 8/31 9-1 SC IV.E 5-9 odd (a&b) 9.2:  pp 575-577 19, 21 #3 9-3 SC IV.E 20,21,24 3.8 , 9.1 9.1: 3 SC VI.A 9, 10, 15, 16 #4 9/3-8 (changed 9-4) SC VI.B 3.1 pp178-180; 3.6 pp 215-217;219 SC VI.C 13,14 p262: 20, 29, 33 #5 9/10-14 (Changed 9-10) SC VI.D 3.5:pg 212 1-4;9-13;21,*(22&23) p214: 45, 54 9/15 On-line Mapping Figure Text and  Activities #6 9/15-17 7.8 pp 508-511( omit Ex. 2) 5.5 7.8: 3-13 odd, 8 5.5: 1-11 odd, 8, 16, 20 #7 9/21-22 9.3 pp580-585 9.4 9.3: 1-5, 11,19 9.4:  3, 7 *9.3: 21 #8 9/24-25 7.4 pp 473-476 VII.F through Example VII.F.5  (rational functions) 7.4: 1a, 2,  7-11, 15, 19, 21 *SC VII.F :5,6,7,17 #9 9/25-28 SC VII.F 7.4: 3,4, 17,25, 27, 29, 33 *SC VII.F :1,3,10,14,15 #10 10/2 -5 7.8: pp511-515 7.8: 27-33 odd, 32; 49; *55; 57 #11 10/5-6 7.1 VII.C. Integration by Parts 7.1:1-13 odd,26,28, 33,47,48 *[VII.C. 8,33,35] #12 10/6-8 7.7: pp 495-497; 500-502 Start  reading V.D 7.7: 1 (a-c), 31a [*VII.C: 12,16] #13 10/8-9 7.7: 500-502 More help on Simpson's rule,etc can be found in SC  V.D 7.7: 27, 29,30 Exam #1 on  October 13 -14 covers Assigned Material through Assignment 13. #14 10/16 Read SC IXA SC IXA 1,2, 3, 4, 6, 9, *10 #15 10/16-22 Read IX B SC IX B 1,2,4,5,7 #16 10/23-26 IXB   IX.C IX B (ii)11,13,14,*23 IX.C  (i) 1-4 #17 10/27-29 IX.C IX.D IX.C(ii) 5-9; (iii) 12,14,16-18 #18 10/29-30 IX.D X.A IX. D:1,3,5 X.A: 1-3,5,7-9 #19 10/30-11/2 11.1 pp675-681 IX.D X.B1-4 11.1:3-7;9-13 odd;17-21 IX.D: 8,10,14,15 #20 11/3-5 X.B1-4 11.1 pp 682 - 684 11.2 11.2: 9-17 odd;21-23, 41-43,47-49 #21 11/9-10 X.B1-4 11.3 pp 679-700; 703 11.5: pp 710-713 7.2 :  pp 460-461 11.3: 3-6, 11-13, 17,18 11.5:  3-6, 9-11 (OOPS changed 11-9) #22 11/10-12 X.B5 Ratio Test For Positive Series 11.4: pp: 705-706 11.6:  pp: 714-715 11.4:3-7 11.6 : 7, 13, 27, 2,8 7.2: 1-9 odd #23 11/16-17 XI.A 11.6 pp 716-718 middle, 719 11.8 11.6:3-5, 17-19, 31 11.8: 3-8, 15,16 #24 11/17-19 7.2: pp462-465 7.2: 21-29 odd; 56,51 #25 11/30 7.3 pp 467-469 example 2 5.2: p366-367 6.1:pp:415-417 7.3: 7, 13,14, 20, 21 5.2: 17, 19 6.1: 1,2 Examination #2 11/17-18 Self Scheduled for 11/17 evening and 11/18. Covers material assigned through # 22 #26 12/1-3 VII.E   *On-line tutorials from Hippocampus Use Course view for Calculus II Lesson 48: Trigonometric Substitutions 6.1:pp 415-418 7.3 pp 469-471 6.2 pp 422-425 example 2 7.3: 3, 9, 19; 1, 5 6.1: 7, 13 6.2:1,3 #27 12/4-7 6.1 pp418-419 (area) 6.2 pp 425-430 (volume) 6.4 (work) 10.1 pp 621-623 8.1:p525-526 10.2 pp 633-634 6.1:3,4,21, 22 6.2: 7,19,23,41 6.4: 3, 5,7 10.1:1,3,5-7,11,12,19,24,28 10.2: 41, 42,45 *48 #28 12/7-10 Appendix C pp A16-A23 6.5 App C: 1,3,5, 11-23 odd 6.4:13, 17 6.5: 1- 4 #29 12/8-10 10.2 pp630-633 10.3 pp639-643; 644-646 10.4 pp650, 652 10.2:1,3,5, 11, 17, 31 10.3: 3,5(i), 15,17,56,57 10.4: 1,9 Below this line all assignments are  not yet firm and due dates are to be determined.

Math 110 Final Topic Check List for Fall, 2009!     Core Topics are italicized.

 Differential Equations and Integration      Tangent Fields and Integral Curves.     Numerical Approximations.              Euler's Method.              Midpoints.              Trapezoidal Rule.              Parabolic (Simpson's) Rule.  Integration of core functions (from Calc I) Integration by Substutition Integration by Parts.    Integration of Trigonometric Functions and Elementary Formulas.   Trigonometric Substitutions.   Integration of Rational Functions.              Simple examples. Simple Partial fractions.   Separation of Variables.  Improper Integrals: Extending the Concepts of Integration.                 Integrals with noncontinuous functions.                 Integrals with unbounded intervals. Applications  Recognizing sums as the definite integral   Areas (between curves).   Volumes (cross sections- discs/rotation). Work. Average Value of Function Taylor's Theorem.    Taylor Polynomials. Calculus.  Using Taylor Polynomials to Approximate:  Error  Estimation.        Derivative form of the remainder.        Approximating known functions, integrals        Approximating solutions to diff'l equations using Taylor's theorem. Sequences and Series: Fundamental Properties.    Sequences.    Simple examples and definitions: visualizing sequences.           How to find limits.           Key theory of convergence.               The algebra of convergence.               Convergence for monotonic sequences.    Geometric series. Harmonic series. Taylor approximations.  Theory of convergence (series).       The divergence test.       Positive series.            Bounded convergence tests.             Integral tests.             Ratio test (Part I).             Absolute convergence.               Absolute convergence implies convergence.       Alternating Series Test.       Ratio test (Part II).  Power Series: Polynomials and Series.   The radius and interval of convergence.   Functions and power series [derivatives and integrals].