Martin Flashman's Courses
Math 110 Calculus II Fall, '08
Final Topic Check List
December 11, 2008
OFFICE HOURS EXAM WEEK
Monday 12-15  9:00-10:00; 14:00-16:00
Tuesday 12-16  8:30-9:30; 15:00-17:00
Wednesday 12-17  By Appointment.
Review Session: Sunday 12-14  15:00-17:00 BSS 302

MTRF     12:00 -12:50 pm    ARTA 027

• 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.]
Back to Martin Flashman's Home Page :) Last updated: 6/9/08

 Week Monday Tuesday Thursday Friday 1 8/25 Introduction & Review (Thinkwell) 8/26  More review. Differential equations and Direction Fields IVA IVB IVC 6.3; 6.5;11.1; 11.2IV.D 8/ Euler's Method 11.3; IV.E 8/ More Euler's Method Discussed 2 POW #1 Due 9/5 9/ 1 No Class.  Labor Day. 9/2 estimate e from (1+1/n)n.  Begin Models for (Population) Growth  and Decay:  y' = k y; y(0)=1. k = 1.  The exponential function.VI.A 9/4 More on the relation between the DE y'=y with y(0)=1  and ex. Models for learning.  y' = k / x; y(1)=0. k =1  VI.B 9/5  y = ln (x) and ln(2)  ln|x| and integration of 1/x.  logarithmic differentiation.?? 3 Summary #1 due 9/12 9/8  Review Substitution 7.1 (i) More on ln.Bounded learning and Arctan. VI.D 9/9 More Review Substitution 7.1 (ii)Improper Integrals I 7.7 (i) 9/11 More on improper integrals 7.7(ii) 9/12 Separation of variables. 11.4, 11.5 4 POW #2 Due 9/19 9/15/Growth/Decay/Cooling Models. [Symbolic] The Logistic Model 9/16 More logistic? All roads lead to  Integration of rational functions 7.4 (i) I.VII.F 9/18  More DE models.  Rational functions II. 9/19  More Rational functions?  VII.F 5 Summary #2 due  9/26 9/22   One more Meany!?  Rational functions III VII.F 9/23  End Rational Functions 9/25 Improper Integrals II  7.7; 9/ 26 Begin (review) Numerical Integration.(Constant and Linear) 7.5 Improper Integrals and  comparison tests III comparison tests 7.8? 6 9/29  Integration by parts I  and VII.C . 10/1 Integration by parts. II 10/3  Numerical Integration. (linear and quadratic)7.6,  V.D 10/4 Numerical Integration. (quadratic)7.6, V.D 7 POW #3: Due 10/6 Exam I  Self scheduled: 10/7 evening 10/8 day Summary #3 due 10/10 10/6 Last look at Numerical Integration Begin Taylor Theory I.IXA 10/7 Review fro exam #1 10/9 Taylor theory II IXA..  IXB  Applications: Definite integrals and DE's. 10/10Taylor theory III. IXB MacLaurin Polynomials 8  POW #3: Due 10/20 10/13 IXB MacLaurin Polynomials 10/14 IXB MacLaurin Polynomials 10/16  IX.C  Taylor Theory derivatives, integrals, and ln(x). 10/17Taylor Theory for remainder proven? More on finding MacClaurin Polynomials & Taylor theory.IX.D  . 9Summary #4 due 10/24 10/20 Taylor theory.IX.D 10/21 Begin Sequences and series. X.A  Sequence properties 10/ 23 Use of absolute values  geometric series  Geometric sequences. 10/24 Unification. Geometric and Taylor Series. X.B1_4  9.2, 9.3 The divergence test.  Harmonic Series. 10POW #4: Due 11/3 10/27Series Conv. I   Incr&bdd above implies convergent. 10/  12.3 Positive series & Integral test. Series Conv. II 10/ Series Conv. III Alternating Series 11/Taylor Series convergence. Theorem on RnSeries Conv. IV 11 Summary #5 due 11/7 11/3  Series Conv. V Taylor  polys and Series. 11/4 Series to solve DE's - Motivations f''(x) = f(x) with f(0)=0 and f'(0)=1 Positive comparison test Ratio test  for Positive Series X.B5 Trig Integrals I sin&cos 11/6Trig IntegralsII sec&tan  Series Conv.VI Absolute conv. & conditional:  The General ratio test:  Power Series I  XI.A 11/7Power Series II (Interval of convergence)XI.A How Newton used Geometric series to find ln(.9) Taylor Series 12 Exam II  self scheduled Wed. 11/12 11/10Power Series III (DE's) 11/11  NO CLASS! Veteran's Day 11/13  Power Series IV Functions and DE's) Area Revisited 11/14 Trig substitution (begin- area of circle) I (sin) VII.E 13 POW #5: Due 11/21 11/17 Trig sub I  cont'd. (sin) VII.E 11/ 18 Trig substitution II (tan and sec) VII.E Area II 11/20More area Volume I 11/21 Favorite estimates. Volume II 14 No Classes  Thanksgiving 11/24 11/ 11/ Thanksgiving 11/ 15 Summary #6 due ?? 12/1 Work Arc Length VIII.B 12/ Work? Darts  Probability density, mean 12/ Surface Area --? Conics I Intro to loci-analytic geometry issues.(parabolae, ellipses) L'Hospital's rule I ?  L'Hospital II. L'Hospital III 12/   Conics II More on Ellipse and Parabola. Darts  Probability density, mean 16 12/ 8Conics III  The hyperbolae  Other Inverse Functions (Arcsin) 12/ The conics IV  exp(pi*i) = -1 12/ Hyperbolic functions: DE's, Taylor Series, Algebra  and Hyperbolas. 12/Proof Of L'Hospital's Rule? 17 Final Examination Self scheduled 12/15 12/ 12/ 12/
Back to Martin Flashman's Home Page :) Back to HSU Math. Department :}

Fall, 2008                 COURSE INFORMATION               M.FLASHMAN
MATH 110 : CALCULUS II                      MTRF 12:00-12:50 A.M. ArtA 27
OFFICE: BSS 356                                      PHONE:826-4950
Hours (Tent.): MTR 1:30-2:30AND BY APPOINTMENT or chance!
E-MAIL:flashman@axe.humboldt.edu                WWW:      http://www.humboldt.edu/~mef2/
***PREREQUISITE: Math 109 or permission.

• TEXTS: Required: Calculus, Hughes-Hallett, Gleason, McCallum, et al, fourth edition (CHH)
• 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 7 through 11 of CHH . 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  to grade homework. Record your homework results on Moodle by 10:45 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 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) 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  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
Academic honesty: Students are responsible for knowing policy regarding academic honesty: http://studentaffairs.humboldt.edu/judicial/academic_honesty.php or http://www.humboldt.edu/~humboldt/catalogpdfs/catalog2007-08.pdf
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 .
• Online help for Winplot is available.
• 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.
NEW!  The grader for the course will be available to give assistance to individuals of groups  Monday, 10:00-10:50 and Wednesday, 11:00-11:50 in BSS 308.

Fall, 2008     Problem Assignments - Updated regularly. (Tentative as of 8-26-08)       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 8-29 IVA; IVB; IVC 6.3; 6.5;11.1 Background Reality Check 11.1: 1, 3, 8, 10, 13,15,16 SC IV.D 1-11 odd [parts a and b only] 23,24 11.2 4, 8,9 #2 8/29 9/2 SC IV.E 5-9 odd (a&b) 11.3 3,4,8,9 #3 9-4 SC IV.E 20,21,24 11.3 1,6 SC VI.A 9, 10, 15, 16 #4 9-5/8/9? SC VI.B 13,14 7.1(i) (review: pp 312-316) 3-6; 13,17; 29;50; 75 SC VI.C #5 9-9/11 SC VI.D 1-4;9-13;21,*(22&23) 7.1(ii) 54-56; 62; 78; 84 #6 9-11/12 7.7 pp348-351 2, 5-8, 11 #7 9-15 11.4 1-7odd;15,21,36,37,41,*(45-47) #8 9-16/18 11.5; 11.7 11.5:3,7,9,19,21,23 11.7:6,9 Begin reading VII.F through Example VII.F.5  (rational functions) #9 9-19/22 SC VII.F 7.4: pp331-333 SC VII.F :5,6,7,17 7.4:1-3;8-10; 15, 33-35 #10 9-23/25 SC VII.F check work on-line with Mathematica 7.4: pp331-333 SC VII.F :1,3,10,14,15 7.4: 24,27,  39-41; 44 #11 9-26 7.7: pp352-354 7.7: 25 ,31 #12 9-29/30 7.8 (Improper Integrals); 5.2 pp248,249,252 (estimating Integrals); 7.5 (More Integral estimates) Start  reading V.D More help on Simpson's rule,etc can be found in SC  V.D 7.8: 1-4, 16,17 5.2: 1,7,8 7.5:1, 8, 9 ,23 #13 9-30/10-2 7.2(i) Read SC VII.C 7.2: 4, 5, 10, 11, 18, 22 VII.C: 2,3,8 #14 10-2/3 7.2(ii) 7.2: 33, 35, 43, 51, 54 VII.C: 12,16

 DueDate Read: Do: #15 10-13/14 Read SC IXA SC IXA 1,2, 3, 4, 6, 9, *10 #16 10-16/17 10.1 pp 478-482 Read IX B SC IX B 1,2,4,5,7 10.1:  1-7 ODD, 17, 18, 22, 24 #17 10-20/21 IXB   IX.C 10.1 pp 478-484 IX B (ii)11,13,14,*23 10.1: 13, 15, 16, 23, 33d IX.C  (i) 1-4 #18 10-21 IX.C IX.D X.A IX.C(ii) 5-9; (iii) 12,14,16-18 #19 10-23/24 IX.D X.A 9.1  pp 438-440 IX. D:1,3,5 X.A: 1-3,5,7-9 9.1: 1-5, 7-9,13, 14, 17, 18,41 #20 10-24/27 IX.D X.B1_4 IX.D: 8,10,14,15 9.2::1-7 odd; 11, 15, 18-21, #21 11-3/4 9.3,  9.4 p 460. X.B1_4 9.3:  1-4,  13-15, 17,18 9.4:: 46,47 #22 11- 6/7 9.4: pp455-456 10.2:  485-486 10.4 X.B5 Ratio Test For Positive Series 9.4:  4-6, 8 10.2: 1-4, 31-33 #23 11-14/17 9.5 9.5: 5,7,9;11-14; 25-27, 34a. #24 11-18/20 7.4 pp. 334-337 7.4: 20, 22, 43, 53, 59 #25 11-20/21 VII.E 8.1 *On-line tutorials from Hippocampus Use Course view for Calculus II Lesson 48: Trigonometric Substitutions 7.4: 23, 54, 55 8.1: 1,3,5 #26 11-21/12-1 8.1, 8.2 pp375-379 8.1:10, 11, 13 8.2: 1,3,5,10 #27 12-4/5 8.2 : pp 278, 379 8.5: pp 399-402 Darts 8.2:11, 41 8.5: 1-3,7 VII.E XI.A

Math 110 Final Topic Check List     December 11, 2008 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. 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].

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