Math 123: Calculus I, 4 credits, Spring 2009, SDSM&T

Finding Your Instructor

Roger Johnson ("Roger" or "Mr. Johnson" is fine), McLaury 314A
email: Roger.Johnson@sdsmt.edu
Website: http://www.mcs.sdsmt.edu/~rwjohnso/, (this page and selected solutions available via the link "Teaching/Class Information")
Phone: 355-3450 (Office), 394-2471 (Department Office)

Office Hours

MWF: 2:00 - 4:00
Th: 9:00 - 10:00
& by appointment (catch me just after class, or send an email to make arrangements)

Class Meetings & Important Dates

Class meetings are 11:00 - 11:50 MWThF in McLaury 205, January 15 through May 1 except January 19, February 16, March 9-13, April 10, April 13 (for 54 class meetings). The last day to drop for 100% refund is January 23; the last day to drop with a 'W' is April 6. The final exam will be held Thursday, May 7, 7:00 - 8:50am. It is department policy is that no early final exams may be given.

Prerequisites

College Algebra and Trigonometry (Trigonometry, in some cases, may be taken concurrently). The College Algebra prerequisite is met by Math 102 (College Algebra) with a grade of "C" or better, or by an acceptable score on the Algebra Placement Examination. The Trigonometry corequisite can be met by (1) completing Math 120 (Trigonometry) with a grade of "C" or better, or by (2) achieving an acceptable score on the Trigonometry Placement Examination (COMPASS Math Score of 65 or higher), or by (3) concurrent enrollment in Math 120 (possible with a COMPASS Math Score of 40 or higher or by previously receiving a 'D' in Math 120).

Course Description

(From the catalog) Differentiation, antidifferentiation, and integration of algebraic and trigonometric functions with applications in each area.

Text that we'll cover: Chapters 1,2,3,4,7 (for ~30 sections in the text; we will skip some sections in Chapter 7).

Maple Objectives

Student work shall be setup with the following defaults in Maple: worksheet mode, input using Maple input, and rollover highlight in plots (applied globally during math 123).
Students will be able to use the worksheet mode to enter and evaluate arithmetic or algebraic expressions. That is, they should be able to use the front-end as a calculator.
Students will be able to do a 2-d plot of a function in Maple.
Students will be able to solve an equation (using both solve and fsolve).
Expressions and functions

Graded student work (e.g. homework and/or exams) will be used to assess the above.

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:

1. 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 the derivative. This will be demonstrated on quizzes, labs, homework, and/or exams.
Identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring the integral. This will be demonstrated on quizzes, labs, homework, and/or exams.

2. 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.

3. Demonstrate the correct use of quantifiable measurements of real world situations. Assessment: Students will

Apply their knowledge of the integral in applications such as area, volume, moments, work, arc length, and surface area. This will be demonstrated on quizzes, labs, homework, and/or exams.
Apply their knowledge of the derivative in applications such as related rates, linear approximations, Newton's Method, curve sketching, optimization, velocity, and acceleration. 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 ($195 new, $156 used @ SDSMT bookstore - prices as of 7 Jan 2009).

Optional:

Student Study and Solution Guide, 8th edition, by Larson, Hostetler, Edwards, 2006, Houghton Mifflin Company ($50 new, $40 used @ SDSMT bookstore - prices as of 7 Jan 2009).

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).
Applets for Graphing and Tangent Lines (http://math.hws.edu/javamath/basic_applets/index.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 123 will need 2 hours of study time for every 1 hour class meeting.

Grading

Grades will be determined using the following weights:

Homework: 15%
Exams (3): 20% each
Final Exam (Thursday, May 7): 25%

For each exam 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 for 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

Jan 15: Skim 1.1. 2.1: For the position functions in 11-17 odd - a. Find the average velocity over [2,5], b. Find the average velocity over [x, x+h].
Jan 16: 2.1: For the position functions in 11-23 odd - a. Find the average velocity over [2,5], b. Find the average velocity over [x, x+h], c. Find the instantaneous velocity at time x.
Jan 19: Holiday.
Jan 21: Looking at limits graphically, numerically, analytically. 1.2: 1-17 odd.
Jan 22: Some intuitive limit results, start to look at continuity (when we can "plug-in" the destination point). 1.2: 19-23 odd; 1.3: 5-15 odd, 37, 39.
Jan 23: Continuity (continued) and one-sided limits. 1.3: 17-21, 27-35; 1.4: 1,3,5.
Jan 26: A quick look at Maple, Journal. One-sided limits revisited. 1.4: 7-19 odd.
Jan 28: Continuity at a point, on a open interval, on a closed interval, . . .. 1.3: 89-93 odd; 1.4: 25-45.
Jan 29: Intermediate Value Theorem.
May 7 (Thursday): Final Exam, 7:00 - 8:50am, Room To Be Announced.

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 SDSM&T 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 SDSM&T 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.