Martin Flashman's Courses
Math 110 Calculus II Spring, '11
MWRF     10:00-10:50     KA 104

• 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
Wednesday
Thursday
Friday
1  No Class
MLK Day
1-19 Introduction & Review (Thinkwell)

1-20 More review.
Differential equations and  IVA IVB
IVC
Direction Fields IV.D
1-21  IVA IVB
IVC
Direction Fields IV.D
2
1-24Direction Fields Continued. IV.D

1-26 Euler's Method
IV.E

1-27 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

1-28More on the relation between the DE y'=y with y(0)=1  and ex.

3 POW #1 Due Thurday Feb 3.
Summary #1 due Wed. Feb 2.
1-31 Models for learning.
y' = k / x; y(1)=0. k =1
VI.B

2-2
y = ln (x) and ln(2)
ln|x| and integration of 1/x.
More on ln and exp!
SC VI.C
Review Substitution
2-3 Begin Bounded learning.
Improper Integrals I

2-4 More on improper integrals
Bounded learning and Arctan. VI.D
4 POW #2: Due
Thursday Feb 10
2-7More Review Substitution(ii) 2-9 More DE models.  Separation of variables.Growth/Decay Models. [Symbolic] . 2-10 The Logistic Model 2-11 More logistic.
5 Summary #2 due Thursday Feb 17

2-14 Integration of rational functions I. VII.F
2-16 Rational functions II 2-17 Rational functions III VII.F

2-18 End Rational Functions
Begin Improper Integrals II
Integration by parts I?
6 POW #3: Due Thursday
Feb 24
. 2-21Improper Integrals and  comparison tests III 2-23Integration by parts. II VII.C   2-24
Numerical Integration. (linear),  V.D

2-25comparison tests?
Integration by parts (finale?)
7

Summary #3 due Thursday March 3
2-28 Comparison Tests for improper integrals.
Reduction Fornula and integration by parts.
3-2Start  Taylor Theory for e^x.
Application to estimation of integral.
3-3 Taylor Theory I.  IXA
Applications: Definite integrals and DE's.
3-4Taylor theory: Finish  IXA.
IXB MacLaurin Polynomials

Exam I  Self scheduled: Wed. Mar. 9
3-7 Review for exam #1 (?)
IXB MacLaurin Polynomials (cont'd)
3-9 Taylor Theory for remainder proven.
3-10 IX.C More on finding MacLaurin Polynomials & Taylor theory.
3-11More MacLaurin.   IX.D Taylor Theory derivatives, integrals, and ln(x)
Use of absolute values.

9
NO Classes : Spring Break!

10 POW #4: Due 3-24
Summary #4 due 3-25
3-21 IX.D Taylor Theory derivatives, integrals, and ln(x)
Use of absolute values.
3-23Taylor Theory: End First Round
How Newton used Geometric series to find ln(.9)
Geometric sequences.

3-24 Begin Sequences and series.

3-25 Sequence properties: Unification.
11  3-28

X.A

3-30 Series Conv. I
Geometric and Taylor Series.
geometric series
X.B1_4
Theorem on Rn
Taylor  polys and Series.
3-31 NO Class CC Day
4-1 Series Conv. II
Harmonic Series.
The divergence test.
Incr&bdd above implies convergent. Positive series & Integral test.
12 POW #5: Due 4-7 4-4Series Conv. III
Positive comparison test
Ratio test  for Positive Series X.B5

4-6 Series Conv.  IV Alternating Series
Absolute Convergence.
4-7 Series Conv.VI Absolute conv. & conditional:  The General ratio test:

4-8 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

13 Summary #5 due 4-15 4-11 Power Series I  XI.A
Start Trig Integrals I sin & cos
4-13 Power Series II (Interval of convergence)XI.A
Taylor Series

4-14 Power Series III (DE's)
Trig Integrals II sec&tan
4-15 Power Series IV (Functions and DE's)
14 Exam II  self scheduled Wed. 4-20
4-18 Trig substitution (begin- area of circle) I (sin) VII.E

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

15
4-25 volume I
Work
Parametric curves I

Parametric curves II :Arc Length VIII.B

Average Value
Volume II
Polar Curves I

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 POW #6: Due Monday 5-2
Summary #6 :Thurs 5-5
5- 2 Surface Area --?
The conics IV
Hyperbolic functions: DE's, Taylor Series, Algebra  and Hyperbolas.

Darts  ??
Probability density, mean

L'Hospital's rule?
Proof Of L'Hospital's Rule?

17 Final Examination Self scheduled
Review Session:
Sunday 5-8
12:00-2:15
BSS 302

Sign up for self -schedule- See Moodle for time Wed., Thurs., Fri.

Back to Martin Flashman's Home Page :) Back to HSU Math. Department :}

Spring, 2011                 COURSE INFORMATION               M.FLASHMAN
MATH 110 : CALCULUS II                      MWRF 10:00-10:50 A.M. KA 104
OFFICE: BSS 356                                      PHONE:826-4950
Hours (Tent.): MWRF  8:15-9:30 AND BY APPOINTMENT or chance!
E-MAIL:flashman at humboldt.edu                WWW:      http://users.humboldt.edu/flashman/
***PREREQUISITE: Math 109 or permission.

• TEXTS: Required: Calculus, Early Transcendentals, James Stewart, 6th 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 alloted for quiz work.
• Homework assignments are made regularly. They should be done neatly. We will be using WebAssign to grade homework. Record your homework results  by 9:15 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 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.
• 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 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.

•  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.
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%

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/disability/
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.
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. PLEASE, take a moment to download and read this page carefully. Although it may seem as a waste of time to you right now, it may save your life one day and you will not have time to read it when you really need it.
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, 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.

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.
Assignments are active when a due date has been published.

On-line Sensible Calculus is indicated by SC.
 Assignment DateDue: Read: Do:(Not collected) Web Assign #1 1/21-25 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 572-575 3-6 #2 1/26-28 SC IV.E HW #2 Math 110 9.2 II Euler's Method 5-9 odd (a&b) 9.2:  pp 575-577 19, 21 #3 1/27-31 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 1/28-2/3 SC VI.B 3.1 pp178-180; 3.6 pp 215-217;219 SC VI.C HW #4 110 DE's and ln. (3.6) 13,14 p262: 20, 29, 33 #5 2/3-4 5.5 HW #5 110 Subst'w/ ln& exp (5.5) 5.5: 1-11 odd #6 2/3-7 7.8 pp 508-511( omit Ex. 2) HW #6 110 Improper Integration I (7.8) 7.8: 3-13 odd, 8 #7 2/4-11 SC VI.D 3.5:pg 212 HW #7 110 Arctan and more improper integrals (7.8) 1-4;9-13;21,*(22&23) p214: 45, 54 On-line Mapping Figure Text and  Activities #8 2/9-11 9.3 pp580-585 HW #8 110 Separable Diff'l Equations (9.3) 9.3: 1-5, 11,19,* 21 #9 2/9-14 9.4 HW #9 110 Cooling&Pop'n Models &DE's (9.4,3.8) 9.4:  3, 7 #10 2/21 7.4 pp 473-476 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 2/22 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 2/23 7.8: pp511-515 HW # 12 110 Improper Integrals II ( 7.8 ) 7.8: 27-33 odd, 32; 49; *55; 57 #13 2/24 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 2/28 HW #14 110 MORE Integration by Parts ( 7.1 ) #15 2/28 7.7: pp 495-497; 500-502 Start  reading V.D HW #15 110 Linear Numerical Integration ( 7.7 ) 7.7: 1 (a-c), 31a [*VII.C: 12,16] #16 3/2 7.7: 500-502 More help on Simpson's rule,etc can be found in SC  V.D HW #16 110 Quadratic Numerical Integration ( 7.7 ) 7.7: 27, 29,30 #17 3/3 HW #17 110 More Improper integrals and Tests (7.8) #18 3/3-3/4 Read SC IXA HW #18 - report on Moodle SC IXA 1,2, 3, 4, 6, 9, *10 SC IXA 1,2, 3, 4, 6, 9, *10 #19 3/4-3/10 Read IX B HW #19 - report on Moodle SC IX B 1,2,4,5,7 SC IX B 1,2,4,5,7 Exam #1 self scheduled on  3-9-2011 covers Assigned Material through Assignment #18. #20 3-22 IXB   IX.C HW #20 - report on Moodle  IX B (ii)11,13,14  IX.C  (i) 1-4 IX B (ii)11,13,14,*23 IX.C  (i) 1-4 #21 3-23 IX.C IX.D HW #21 - report on Moodle   IX.C(ii) 5-9; (iii) 12,14,16-18 IX.C(ii) 5-9; (iii) 12,14,16-18 #22 3-24 IX.D X.A HW #22 - report on Moodle   IX. D:1,3,5    X.A: 1-3,5,7-9 IX. D:1,3,5 X.A: 1-3,5,7-9 #23 3-25 11.1 pp675-681 IX.D X.B1-4 HW #23 110 Sequences I (11.1) 11.1:3-7;9-13 odd;17-21 IX.D: 8,10,14,15 #24 #25 3-29 3-30 X.B1-4 11.1 pp 682 - 684 11.2 HW #24 110 MORE Sequences ( 11.1 ) HW #25 110 Series I (11.2) 11.2: 9-17 odd;21-23, 41-43,47-49 #26 4-4 X.B1-4 11.3 pp 679-700; 703 11.5: pp 710-713 7.2 :  pp 460-461 HW #26 110 MORE Series II ( 11.2 ) 11.3: 3-6, 11-13, 17,18 11.5:  3-6, 9-11 (OOPS changed 11-9) #27 4-5 X.B5 Ratio Test For Positive Series 11.4: pp: 705-706 11.6:  pp: 714-715 HW #27 110 MORE Series III (Pos

Math 110 Reference Topic List for final Spring, 2011!     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. Parametric Equations- Arc length, tangents. [NOT on final- polar coordinates- area, arc length, graphs. Conics.] 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].