Martin Flashman's Course Pages
Math 110 Calculus II  Spring, '15
Draft version- Work in Progress
MTRF 1400-1450 ART 027

CALENDAR SCHEDULE
NOTICE: All items on this syllabus are subject to change.
( last revision noted 2-25-15)
Week
Monday
Tuesday
Thursday
Friday
1  No Class
MLK Day
1-20 Introduction & Review

1-22 More review.
Differential equations and  IVA IVB
IVC
Direction Fields IV.D
1-23  IVA IVB
IVC
Direction Fields IV.D
2
1-26 Direction Fields Continued. IV.D

1-27 Euler's Method
IV.E

1-29 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

1-30 More on the relation between the DE y'=y with y(0)=1  and ex.

3 POW #1 Due
Summary #1 due
2-2 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

2-3
Begin Bounded learning.
Improper Integrals I
2-5
More on improper integrals
Bounded learning and Arctan. VI.D

2-6 More DE models.  Separation of variables.
4 POW #2: Due 2-16

2-9 More Review Substitution(ii) Growth/Decay Models. [Symbolic] . The Logistic Model 2-10 More logistic. 2-9 Integration of rational functions I. VII.F 2-10
Problems from web Assign- Breath
5 Summary #2 due 2-23

2-16 Rational functions II VII.F
2-17End Rational Functions
Improper Integrals II Start
2-16  Improper Integrals II Continued
Start Integration by Parts. VII.C

2-17
Integration by parts I VII.C
6 POW #3: Due 3-2
2-23 Integration by parts. II VII.C
Reduction Formula and integration by parts.
2-24Numerical Integration. (linear),  V.D  2-23Numerical Integration. (quadratic),  V.D
Improper Integrals and  comparison tests III

2-24Application to estimation of integral
More Comparison Tests for improper integrals.
7

Summary #3 due 3-6
3-2 Breath
Start  Taylor Theory for e^x. Taylor .  IXA
3-3Applications: Definite integrals and DE's. 3-5 Taylor theory: Finish  IXA.. 3-6
IXB MacLaurin Polynomials

Exam I  Self scheduled:

3-9 IXB MacLaurin Polynomials (cont'd)
3-10 Review for exam #1 (?)Taylor Theory for remainder proven.
3-12 IX.C More on finding MacLaurin Polynomials & Taylor theory.
3-13 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 POW #4: Due

3-23 IX.D Taylor Theory derivatives, integrals, and ln(x)
Use of absolute values.
3-24Taylor Theory: End First Round

3-26 Begin Sequences and series. Geometric sequences.

3-27 X.A  Sequence properties: Unification.
Bounded Monotonic convergence Theorem
11   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
4-2   Series Conv. II
Harmonic Series.
The divergence test.
4-3 Incr&bdd above implies convergent.
12Summary #4 due 4-6 4-6 Series Conv. III
Positive series & Integral test.

4-7 Positive comparison test

4-9Ratio test  for Positive Series X.B5

4-10 Series Conv.  IV Alternating Series Series

13 Summary #5 due 4-17 4-13 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
4-14
Power Series II (Interval of convergence)XI.A
Taylor Series

4-16 Power Series III (DE's)
Start Trig Integrals I sin & cos
4-17 exp(pi*i) = -1
Power Series IV (Functions and DE's)
Trig Integrals II sec&tan
14 Exam II  self scheduled 4-22
4-20 Trig substitution (begin- area of circle) I (sin) VII.E
Favorite estimates Arctan(1) = pi/4.

4- 21 Area Revisited

4-23 Area II
Volume I
Trig substitution II (tan and sec) VII.E
4-24 More trig
area
More area ("dy")

15    POW #5 Due: 4-27
4-27 volume I
Work
Parametric curves I
4-28 Parametric curves II :Arc Length VIII.B

4-30 Average Value
Volume II
Polar Curves I

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

5-7 L'Hospital's rule?
Proof Of L'Hospital's Rule?

5-8

17 Final Examination Self scheduled
Rooms TBA
Review Session:
Sunday 5-10
TBA

Monday May 11, 12:40-14:30 Wednesday May 13, 10:20-12:10Thursday May 14, 10:20-12:10
Thursday, May 14, 15:00-16:50.
Friday, May 15 10:20-12:10.

Last updated: 1/19/2015

OFFICE: BSS 346                                           PHONE:826-4950
Office Hours : Monday 3:00 - 4:00 BSS 346; AND BY APPOINTMENT or chance!
Shared Hours   Tuesday &Thursday 12:00-12:50; Wednesday 9:00-9:50 BSS 308. See schedule at bottom of page.
E-MAIL: flashman@humboldt.edu               WWW:  http://flashman.neocities.org/
***PREREQUISITE: Math 109 (One semester of college calculus or AP Calculus AB) 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.
• Catalog Description: Logarithmic and exponential functions, inverse trigonometric functions, techniques of integration, infinite sequences and series, conic sections, polar coordinates.
[Prereq: MATH 109 or completed Calculus I].
• 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.
• Course Goals and Student Learning Outcomes
• Course learning outcomes: Be able....
1) to compute, by hand, elementary definite and indefinite integrals using integration techniques;
2) to apply the definite integral to solve problems involving: length, area, volume, work;
3) be able to test an infinite series for convergence ;
4) be able to apply and solve elementary ordinary differential equations;
5) know the definition of polar coordinates and be able to solve length and area problems in polar coordinates
.
• Program learning outcomes:
1) Be able to apply the techniques of Calculus to Mathematics, Science, Natural Resources, and Environmental Engineering.
2) Be able to make written presentations of pure and applied mathematical work that follow normal conventions for logic and syntax.
• Humboldt State University Learning Outcomes  HSU graduates will have demonstrated:

• Effective communication through written and oral modes.
• Critical and creative thinking skills in acquiring a broad base of knowledge and applying it to complex issues.
• Competence  in a major area of study,
• \$\$ 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.
Upon submission of the quiz you will receive 20 points toward your final grade.
• 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 TWO 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 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.  One option is as listed on the University Exam schedule- Monday May 11, 12:40 -14:30 .
Also possible are Wednesday May 13,
10:20-12:10Thursday May 14, 10:20-12:10; Thursday, May 14, 15:00-16:50 and Friday, May 15 10:20-12:10.
• 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

Students with Disabilities: Persons who wish to request disability-related accommodations should contact the Student Disability Resource Center in the Learning Commons, Lower Library, 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: Students are responsible for knowing the University policy, procedures, and schedule for dropping or adding classes.

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.

Emergency evacuation: Please review the evacuation plan for the classroom (posted on the orange signs), and review http://www.humboldt.edu/emergencymgmtprogram/evacuation_procedures.php  for information on campus Emergency Procedures.

During an emergency, information can be found campus conditions at: 826-INFO or www.humboldt.edu/emergency

Academic honesty: Students are responsible for knowing policy regarding academic honesty: http://www2.humboldt.edu/studentrights/academic-honesty or http://pine.humboldt.edu/registrar/catalog/

Attendance and disruptive behavior: Students are responsible for knowing policy regarding attendance and disruptive behavior:

http://www.humboldt.edu/studentrights/attendance-behavior

• Technology: The computer or a graphing calculator can be used for many problems.
• We will use Winplot, GeoGebra, Microsoft Xcel, and Wolfram|Alpha [and possibly SAGE].
• Winplot is freeware and may be downloaded from Rick Parris's website or directly from this link for Winplot .
• Though designed for the Windows operating system, Winplot can be used on a MAC after installing Winebottler from http://winebottler.kronenberg.org/
• Online help for Winplot is available from the following links.
• Winplot Materials: download from Rick Parris 's website\
• GeoGebra
• Wolfram|Alpha
• Graphing Calculators: Though much of our work this semester will be using the computer, graphing calculators are welcome.
• 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.
• I will try to help you with your own technology when possible during office hours or by appointment (not in class).
• Students wishing help with any graphing calculator should plan to bring their calculator manual with them.
• 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.
• No calculators, computers or other electronic technology will be allowed on exams.

• \$\$ Use of  Office Hours: 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 or faculty shared 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.

.Don't be shy about asking for an appointment outside of the scheduled office hours.

Calculus Drop-in Tutoring  from HSU Faculty in  BSS 308 (Tentative 1-7-2015)

-----Time------ ---Monday---- -----Tuesday--- --Wednesday-- ---Thursday--- ----Friday----
9-10 AM
Freedman
Oliver Flashman Lauck Freedman

10-11 AM

X

X

X X

X
11-12 AM
X X Lauck X X

12-1 PM

Johnson

Flashman

x

Flashman Johnson
1-2 PM X X X X X
2-3 PM X X X X X

3-4 PM

X X X Oliver X

4-5 PM

Goetz

Goetz

X
X X