MATH 206 Mathematics for Business Analysis II

Fall 2008

Section 005 3:00 to 5:00 M W

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

Classroom: Swart 302 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. Other TI graphics calculators (like the TI-86) do not have the same statistics routines we will be using and will cause you troubles.

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	70 pts.	September 29
Exam 2	Derivatives	90 pts.	October 29
Exam 3	Integrals and Multivariate Derivatives	100 pts.	December 10
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, final grades are based on attendance as well as total points earned. 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, but I want to avoid you having the same members each time. I expect each person in a group to contribute to the work; 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 (September 24). 2 – Describing Functions Using Derivatives (October 27). 3 – Finding Areas Using Integrals (December 8).

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. To aid in your study groups, I will be distributing a class roll.

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 Fall 2008 semester are 10:20 to 11:00, Monday, Wednesday, and Friday, and 3:00 to 4:00 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. The textbook we will be using for this class will require you to actually read it to master the material.

My idea of teaching / learning is not “Teaching is telling and learning is listening”. I believe that you must be active in the learning process to learn well. My job as a teacher, therefore, is not to tell you the answers to the problems we will encounter; rather it is to point 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.)

Homework 1, due September 15	Section 1.1: 14 page 5 Section 1.1: 6 page 71 Section 1.2: 14 page 12 Section 1.2: 52 page 74 Section 1.3: 14 page 19
Homework 2, due September 22	Section 1.4: 12 page 30 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 October 8	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 October 15	Section 2.5: 12 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 October 22	Section 4.1: 18 page 181 Section 4.1: 28 page 181 Section 4.2: 32 page 187 Section 4.3: 28 page 192 Section 4.3: 32 page 192
Homework 6, due November 10	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 November 17	Section 5.4: 10 page 258 Section 5.5: 4 page 265 Section 6.1: 20 page 280 Section 6.2: 8 page 285
Homework 8, due November 24	Section 7.1: 50 page 304 Section 7.1: 56 page 304 Section 7.2: 22 page 308 Section 7.3: 14 page 312 Section 7.4: 18 page 318
Homework 9, due December 8	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

Monday	Wednesday
September 1 No Class	September 3 Day 1 Introduction, Functions Section 1.1
September 8 Day 2 Linear Functions, Rates Sections 1.2 and 1.3	September 10 Day 3 Quiz 1 Econ Examples Section 1.4
September 15 Day 4 Homework 1 Due Exponential Functions, Logarithms Sections 1.5 and 1.6	September 17 Day 5 Quiz 2 Growth and Decay, Transformations Sections 1.7 and 1.8
September 22 Day 6 Homework 2 Due Polynomials Section 1.9	September 24 Day 7 Presentation 1 Instantaneous Change Section 2.1
September 29 Day 8 Exam 1	October 1 Day 9 Derivatives Sections 2.2 and 2.3
October 6 Day 10 Quiz 3 Second Derivative, Econ Examples Section 2.4 and 2.5	October 8 Day 11 Homework 3 Due Polynomial and Exponential Formulas Sections 3.1 and 3.2
October 13 Day 12 Quiz 4 Chain, Product, Quotient Rules Sections 3.3 and 3.4	October 15 Day 13 Homework 4 Due Extrema Section 4.1
October 20 Day 14 Quiz 5 Inflection Points, Global Extrema Sections 4.2 and 4.3	October 22 Day 15 Homework 5 Due Econ Examples Sections 4.4 and 4.5
October 27 Day 16 Presentation 2 Logistic Growth, Surge Functions Sections 4.7 and 4.8	October 29 Day 17 Exam 2
November 3 Day 18 Definite Integrals Sections 5.1 and 5.2	November 5 Day 19 Quiz 6 Areas Section 5.3
November 10 Day 20 Homework 6 Due Fundamental Theorem of Calculus Sections 5.4 and 5.5	November 12 Day 21 Quiz 7 Econ Examples Sections 6.1 and 6.2
November 17 Day 22 Homework 7 Due Antiderivatives, Substitution Sections 7.1 and 7.2	November 19 Day 23 Quiz 8 Analyzing Antiderivatives Sections 7.3 to 7.4
November 24 Day 24 Homework 8 Due Multivariate Functions Sections 9.1 and 9.2	November 26 No Class
December 1 Day 25 Partial Derivatives Sections 9.3 and 9.4	December 3 Day26 Quiz 9 Optimization Section 9.5
December 8 Day 27 Homework 9 Due Presentation 3 Review	December 10 Day 28 Exam 3

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Last updated August 26, 2008