MATH 206

Mathematics for Business Analysis II

Spring 2010

Section 001 8:00 to 9:00 MTW F

Section 002 9:10 to 10:10 MTW F

Instructor: Dr. Chris Edwards Phone: 424-1358 or 948-3969 Office: Swart 123

Classroom: Swart 3 Text: Applied Calculus 3^rd edition, by Hughes-Hallett, Gleason, Lock, Flath, et al.

Required Calculator: TI-83, TI-83 Plus, or TI-84 Plus, by Texas Instruments.

Catalog Description: This course follows Mathematics 204. Topics include logarithmic and exponential functions, differential and integral calculus and their application to business problems. Prerequisite: Mathematics 104, 108 or 204 with a grade of C or better or placement.

Course Objectives: (Click here for full document.) Topics introduced in Math 206, such as marginal analysis, optimization, and finding total change, are used in subsequent Business and Economics courses. The ideas covered include function, derivative, and integral concepts. Upon completion of Math 206 students will be familiar with basic functions and be able to calculate and estimate derivatives and integrals using a variety of methods. A firm grounding in these topics will prepare students for success in later classes.

Grading: Final grades are based on 500 points:

	Topic	Points	Tentative Date
Exam 1	Functions	80 pts.	February 23
Exam 2	Derivatives	90 pts.	April 8-9 (Testing Center)
Exam 3	Integrals and Multivariate Derivatives	90 pts.	May 14
Group Presentations	20 Points Each	60 pts.	Before Exams
Quizzes	10 Points Each	90 pts.	Weekly
Homework	10 Points Each	90 pts.	Weekly

Attendance is a very important component of success in my class because many of the skills and lessons we will learn will be a direct result of classroom activities that cannot be reproduced easily. Thus, to encourage attendance, the number of quiz scores that may be dropped is based on absences.

Presentations: There will be three presentations, each worth 20 points. The descriptions of the presentations are in the Day By Day Notes. I will assign you to your groups for these presentations randomly, because I want to avoid you having the same members each time. I expect each person in a group to contribute to the work; however, you can allocate the work in any way you like. If a group member is not contributing, see me as soon as possible so I can make a decision about what to do. Part of your presentation grade will be based on your own evaluations of how each person contributed to the presentation. The topics are: 1 – Modeling Population Growth (February 22). 2 – Describing Functions Using Derivatives (March 31). 3 – Multivariate Functions (May 11).

Quizzes: Approximately once a week, we will have a quiz on the current material. These quizzes are a way for me to provide feedback to you on your progress in the course. You will be allowed to drop up to 2 quizzes, based on your course attendance.

Homework: I will collect several homework problems approximately once a week. The due dates are listed on the course outline below. While I will only be grading a few problems, I presume that you will be working on many more than just the ones I assign. I suggest that you work together in small groups on the homework for this class. What I expect is a well thought-out, complete discussion of the problem. Please don’t just put down a numerical answer; I want to see how you did the problem. (You won’t get full credit for just numerical answers.) The method you use and your description is much more important to me than the final numerical answer. Homework more than one week late will not be graded.

Office Hours: Office hours are times when I will be in my office to help you. There are many other times when I am in my office. If I am in and not busy, I will be happy to help. My office hours for Spring 2010 semester are 10:20 to 11:00, Monday, Tuesday, Wednesday, and Friday, and 1:50 to 2:50 Tuesday, or by appointment.

Philosophy: I strongly believe that you, the student, are the only person who can make yourself learn. Therefore, whenever it is appropriate, I expect you to discover the mathematics we will be exploring. I do not feel that lecturing to you will teach you how to do mathematics. I hope to be your guide while we learn some mathematics, but you will need to do the learning. I expect each of you to come to class prepared to digest the day’s material. That means you will benefit most by having read each section of the text and the Day By Day notes before class.

My idea of education is that one learns by doing. I believe that you must be engaged in the learning process to learn well. Therefore, I view my job as a teacher as not telling you the answers to the problems we will encounter, but rather pointing you in a direction that will allow you to see the solutions yourselves. To accomplish that goal, I will work to find different interactive activities for us to work on. Your job is to use me, to use your text, to use your friends, and any other resources. Keep in mind that the goal is to learn mathematics, not to pass the exams. (Incidentally, if you have truly learned the material, the exam results will take care of themselves.)

The homework problems I will collect each week are listed below.

Homework 1, due February 12	Section 1.1: 14 page 5, 6 page 71 Section 1.2: 12 page 12, 18 page 12 Section 1.3: 14 page 19
Homework 2, due February 19	Section 1.4: 52 page 74 Section 1.5: 18 page 39 Section 1.6: 40 page 44 Section 1.7: 30 page 51 Section 1.8: 36 page 56
Homework 3, due March 5	Section 1.9: 24 page 62 Section 2.1: 26 page 105 Section 2.2: 18 page 110 Section 2.3: 36 page 119 Section 2.4: 22 page 124
Homework 4, due March 16	Section 2.5: 14 page 129 Section 3.1: 52 page 148 Section 3.2: 26 page 152 Section 3.3: 54 page 158 Section 3.4: 36 page 161
Homework 5, due March 29	Section 4.1: 18 page 181, 28 page 181 Section 4.2: 10 page 186 Section 4.3: 28 page 192, 32 page 192
Homework 6, due April 12	Section 4.4: 4 page 199 Section 4.7: 14 page 221 Section 5.1: 18 page 242 Section 5.2: 16 page 248 Section 5.3: 16 page 254
Homework 7, due April 21	Section 5.4: 10 page 258 Section 5.5: 4 page 265 Section 6.1: 20 page 280 Section 6.2: 8 page 285 Section 6.3: 10 page 288
Homework 8, due April 28	Section 7.1: 50 page 304, 56 page 304 Section 7.2: 22 page 308 Section 7.3: 14 page 312 Section 7.4: 18 page 318
Homework 9, due May 10	Section 9.1: 20 page 348 Section 9.2: 8 page 356 Section 9.3: 12 page 366 Section 9.4: 36 page 372 Section 9.5: 18 page 378

The following schedule is tentative. We will make changes if needed.

Monday	Tuesday	Wednesday	Friday
February 1 Day 1 Introduction Section 1.1	February 2 Day 2 Functions Section 1.1	February 3 Day 3 Linear Functions Section 1.2	February 5 Day 4 Rates Section 1.3
February 8 Day 5 Economics Examples Section 1.4	February 9 Day 6 Quiz 1 Economics Examples Section 1.4	February 10 Day 7 Exponential Functions Section 1.5	February 12 Day 8 Homework 1 Due Logarithms Section 1.6
February 15 Day 9 Growth and Decay Section 1.7	February 16 Day 10 Quiz 2 Transformations Section 1.8	February 17 Day 11 Polynomials Section 1.9	February 19 Day 12 Homework 2 Due Polynomials Section 1.9
February 22 Day 13 Presentation 1	February 23 Day 14 Exam 1	February 24 Day 15 Instantaneous Change Section 2.1	February 26 Day 16 Derivatives Section 2.2
March 1 Day 17 Derivatives Section 2.3	March 2 Day 18 Second Derivative Section 2.4	March 3 Day 19 Quiz 3 Economic Examples Section 2.5	March 5 Day 20 Homework 3 Due Polynomial Formulas Section 3.1
March 8 Day 21 Exponential Formulas Section 3.2	March 9 Day 22 Chain Rule Section 3.3	March 10 Day 23 Product and Quotient Rules Sections 3.4	March 12 Day 24 Quiz 4 Derivative Rules Chapter 3
March 15 Day 25 Extrema Section 4.1	March 16 Day 26 Homework 4 Due Inflection Points Section 4.2	March 17 Day 27 Global Extrema Section 4.3	March 19 Day 28 Quiz 5 Economic Examples Section 4.4
March 29 Day 29 Homework 5 Due Economic Examples Section 4.5	March 30 Day 30 Logistic Growth and Surge Functions Sections 4.7 and 4.8	March 31 Day 31 Presentation 2	April 2 Day 32 Definite Integrals Section 5.1
April 5 Day 33 Definite Integrals Section 5.2	April 6 Day 34 Areas Section 5.3	April 7 Day 35 Areas Section 5.3	April 9 Day 36 Exam 2 (Testing Center)
April 12 Day 37 Homework 6 Due Fundamental Theorem Section 5.4	April 13 Day 38 Quiz 6 Fundamental Theorem Section 5.5	April 14 Day 39 Economic Examples Section 6.1	April 16 Day 40 Economic Examples Section 6.2
April 19 Day 41 Economic Examples Section 6.3	April 20 Day 42 Quiz 7 Antiderivatives Section 7.1	April 21 Day 43 Homework 7 Due Substitution Section 7.2	April 23 Day 44 Analyzing Antiderivatives Section 7.3
April 26 Day 45 Antiderivatives Section 7.4	April 27 Day 46 Quiz 8 Multivariate Functions Section 9.1	April 28 Day 47 Homework 8 Due Cross Sections Section 9.1	April 30 Day 48 Contours Section 9.2
May 3 Day 49 Partial Derivatives Section 9.3	May 4 Day 50 Second Partial Derivatives Section 9.4	May 5 Day 51 Quiz 9 Optimization Section 9.5	May 7 Day 52 Optimization Section 9.5
May 10 Day 53 Homework 9 Due Review	May 11 Day 54 Presentation 3	May 12 Day 55 Review	May 14 Day 56 Exam 3

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Last updated February 1, 2010