Math 125: Calculus II, 4 credits, Summer 2008, SDSM&T

Finding Your Instructor

Roger Johnson ("Roger" or "Mr. Johnson" is fine), McLaury 314A
email: Roger.Johnson@sdsmt.edu
web: http://www.mcs.sdsmt.edu/~rwjohnso/,
355-3450 (office), 394-2471 (math/csc office)

Office Hours

M,W,Th: 9:00 - 9:45
M,Tu,W,Th: 12:00 - 12:30
M,Tu,W: 1:30 - 2:30
& by appointment (catch me just after class, or send an email to make arrangements)

Class Meetings & Important Dates

Class meetings are 10:00 - 12:00 MTuWTh in ~~McLaury 205~~ Classroom Building 204E, June 2 through July 24. The last day to drop for 100% refund is June 6; the last day to drop with a 'W' is July 9.

Prerequisites

Trigonometry (Math 120 or Math 198/199 or Math 1201/1202) with grade(s) of C- or better, or an acceptable score on the Trigonometry Placement Examination (the absolute minimum score is 65),

and
Calculus I (Math 123) with a grade of C- or better

Course Description

(From the catalog) Math 125: Continuation of Calculus I for transcendental functions, integration techniques, infinite series, parametric curves, and polar coordinates.

Tentative text sections: Chapters 5, 8, 9, 10 (in Chapter 10 sections 2,4,5 only).

Maple Objectives

Students will be able to produce parametric and polar plots using Maple
Students will be able to produce indefinite integrals using Maple (int)
Students will be able to compute definite integrals using Maple - including approximate numerical computation when necessary (int versus evalf(int(...)))
Students will be able to compute Taylor approximations using the taylor and normal commands

Board of Regents General Education Goals & Student Learning Outcomes

This course meets GenEd Goal #5: Students will understand and apply fundamental mathematical processes and reasoning.

Student learning outcomes: As a result of taking a course meeting this goal, students will:

Use mathematical symbols and mathematical structure to model and solve real world problems.
Assessment: Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring differentiation and integration techniques. This will be demonstrated on quizzes, labs, homework, and/or exams.

Demonstrate appropriate communication skills related to mathematical terms.
Assessment: Students will correctly use functional notation of algebra, trigonometry, and calculus. This will be demonstrated on quizzes, labs, homework, and/or exams.

Demonstrate the correct use of quantifiable measurements of real world situations.
Assessment: Students will apply their knowledge of calculus in one-variable, infinite sequences and series, and parametric equations and polar equations in applications such as area computation, function approximation, and arc-length computation. This will be demonstrated on quizzes, labs, homework, and/or exams.

Text Book & Course Materials

Required:

Calculus, 8th edition, by Larson, Hostetler, Edwards, 2006, Houghton Mifflin Company ($109.75 new, $88.00 used @ SDSMT bookstore).

Optional:

Student Study and Solution Guide, vol. 1, 8th edition, by Larson, Hostetler, Edwards, 2006, Houghton Mifflin Company ($43.25 new, $34.75 used @ SDSMT bookstore).

You may find a graphing calculator to be helpful - wait until after our first class meeting before buying such (this is not nearly so important with the advent of the Tablet PC program). Particularly nice calculators are those that perform symbolic manipulation with "computer algebra systems" (CAS) - such as the TI-89, HP 48G Series, but these are, of course, somewhat more expensive than "non-CAS" calculators.

The sites which follow may be helpful in choosing a graphing calculator:

Texas Instruments (TI) (questions on TI products? - click here): TI-82, TI-83, TI-83 Plus, any TI-84, TI-85, TI-86, TI-89, TI-92 Plus

Hewlett-Packard (HP) (questions on HP calculators? - call 1-800-443-1254): HP 38G, HP 39G, HP 40G, HP 48G, HP 48G+, HP 48GX, HP 49G

Resources

Your instructor (please use my office hours)!
Tech Learning Center (TLC) - Go to bottom floor of the Devereaux Library; upon leaving the stairwell head to the right corner (a computer lab) - the TLC is in a room inside of the computer lab
Worked-out solutions to odd-numbered problems may be found here (http://www.CalcChat.com).
Additional problems and solutions may be found here (http://www.math.ucdavis.edu/~kouba/ProblemsList.html).
Maple Aids: Initial Maple Settings (http://www.mcs.sdsmt.edu/rwjohnso/html/Initial Maple Settings.doc), Maple Basics (http://www.mcs.sdsmt.edu/rwjohnso/html/Maple Basics.pdf).

Time Commitment

According to the South Dakota School of Mines and Technology Undergradute & Graduate Catalog, (c.f. section 'Definition of Credit Hours') the average student enrolled in Math 125 will need 2 hours of study time for every 1 hour class meeting.

Grading

Grades will be determined using the following weights:

Homework: 12%
Exams (4) - June 12, June 26, July 9, July 24: 22% each

For selected exams (I'll let you know) you may bring a single sheet 8.5" by 11" (both sides!) of notes. No other materials may be brought in (e.g. exams are closed book). Calculators may be used in working homework problems, but will not be allowed on exams. In borderline grading situations, attendance and class participation will be used in coming to a grade determination. A course grade of 'A' is guaranteed for a 90% or better average, 'B' for a 80%-89% average, 'C' for a 70%-79% average, and a 'D' for a 60%-69% average. The 90/80/70/60 cutoffs may drop a bit depending on the difficulty level of the exams.

Suggestions

With apologies to David Letterman (and from fellow educator Allan Rossman from whom I stole most of this), I offer you the following "Top Ten" suggestions as you approach this course:

10.	Come to Class
9.	Ask Questions
8.	Use Office Hours and the Tech Learning Center
7.	Don't Get Behind
6.	Don't Get Overconfident
5.	Work Together
4.	Read Carefully
3.	Get Comfortable with your Graphing Calculator
2.	Have Fun!
1.	Think!

Day-by-day Quick Summary & Homework Listing

June 2: 5.1: 7-33 odd, 45-61 odd.
June 3: 5.1: 63-67 odd, 93, 97; 5.2: 1-35 odd, 47-55 odd, 59, 67-73 odd.
June 4: 5.3: 1-7 odd (part a only), 9-15 odd, 37-41 odd, 71-75 odd. First Maple HW distributed - due Monday.
June 5: 5.4: 1-17 odd, 21, 23, 33-57 odd, 65-71 odd, 85-105 odd.
June 9: 5.5: 1-29 odd, 37-47 odd, 61-69 odd.
June 10: 5.6: 5-9, 12, 17-27 odd, 41,45,47,51-59 odd.
June 11: 5.7: First, in problems 1-9, 17-27 odd, identify the correct substitution: (i) x = a sin u, (ii) x = a tan u, (iii) x = a sec u, giving the correct numeric value of a. Second, solve 1-9, 17-27 odd using your substitution.
June 12: EXAM I.
June 16: 8.4: 5-39 odd, 43-51 odd, 63-66, 82 (leave integrals of [cos(x)]^2, [sin(x)]^2 unevaluated as well as integrals of powers of sec(x) and tan(x)).
June 17: 8.2: 5, 9, 11-35 odd, 47, 49, 53, 55, 57.
June 18: 8.3: 5-17 odd, 25-41 odd, 63-77 odd.
June 19: 8.5: 1-6, 7-31 odd, 41-45 odd.
June 23: 8.7: 5-35 odd, 39-45 odd, 75, 77.
June 24: 8.8: 1-4, 15-47 odd.
June 25: An Introduction to Fourier Series (material for homework only). Optional review problems for Exam II, pp. 589-590: 1-21 odd, 25-37 odd, 49-56 odd, 61-66, 73-85 odd.
June 26: EXAM II.
June 30: 9.1: 1-19 odd, 25-41 odd, 47, 49, 53-81 odd.
July 1: 9.2: 1-15 odd, 23-27 odd, 29-33 part a odd, 35-49 odd, 57-71 odd.
July 2: 9.3: 1-17 odd, 25-35 odd, 51, 55, 57.
July 3: 9.4: 3-35 odd, 45, 47.
July 7: 9.5: 11-27 odd, 37-45 odd.
July 8: 9.6: 5-9 odd, 13-31 odd, 51-67 odd. Practice Chapter Review problems: p. 688ff: 1, 9-13 odd, 23-29 odd, 37, 39, 45, 47, 50, 51.
July 9: EXAM III.
July 10: Class cancelled
July 14: 9.7: 13-30, 41-44, 50 extra credit (due Thursday 10am).
July 15: 9.8: 11-31 odd. Maple HW distributed (integration, taylor polynomials for Thursday July 17; parametric plots, polar plots for Wednesday July 23) distributed.
July 16: 9.8: 45-48, 9.9: 5-11 odd; also, find a power series about zero for 1/(4x^2+1).
July 17: Course evaluations. 9.10: 5-10, 21-26, 37, 41, 55, 56.
July 21: 10.2: 3-31 odd.
July 22: 10.4:
July 23: 10.5 (pp. 739-742):
July 24: EXAM IV.

Homework Policies

Homework should be turned in at the beginning of class on the date requested. I will accept a late homework set only under the following two conditions: (i) the solutions to this homework set have not yet been distributed or discussed in class, and (ii) I have not yet graded the homework set for those people who turned it in on-time.

For homework that you are to work on as individuals, you may discuss methods and procedures openly with classmates. Once you begin to write-up the homework you are to turn in, however, this must be done alone.

Occasionally I may have you work on homework with others (e.g. in pairs). Again, you may discuss methods and procedures with other groups, but only group members may be involved in the write-up.

Freedom in Learning Statement

Under Board of Regents and University policy student academic performance may be evaluated solely on an academic basis, not on opinions or conduct in matters unrelated to academic standards. Students should be free to take reasoned exception to the data or views offered in any course of study and to reserve judgment about matters of opinion, but they are responsible for learning the content of any course of study for which they are enrolled. Students who believe that an academic evaluation reflects prejudiced or capricious consideration of student opinions or conduct unrelated to academic standards should contact the dean of the college which offers the class to initiate a review of the evaluation.

Electronic Devices Policy

Cell Phones:

Tablet PC:

Your screen must be in the locked-down mode during class.

Headphones:

Dyknow:

Academic Integrity

Students are expected to be familiar with policies stated in the SDSMT Undergraduate Catalog. In particular, "the penalty for any act of academic dishonesty . . . shall be at the discretion of the instructor and may . . . [result in] failure in the class."

Attendance

Attendance is expected and, as described in the SDSMT Undergraduate Catalog, "a student who fails to attend classes regularly [apart from school-sponsored activities] must satisfy such requirements as the instructor in a course may prescribe."

ADA Note

Students with special needs or requiring special accomodation should contact the instructor, Scott Wiley in the campus ADA Office (394-2533), and/or Dr. Pat Mahon (395-2416) at the earliest opportunity.