MATH 206 Applied Calculus for Business

Spring 2013

Section 001 8:00 to 9:00 MTW F
Section 006 1:50 to 2:50 MTW F

Instructor: Dr. Chris Edwards Phone: 424-1358 or 948-3969 Office: Swart 123 Link to Day By Day Notes or PDF

Classroom: Swart 14/303 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 commands 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 410 points:

	Topic	Points	Tentative Date
Exam 1	Functions	80 pts.	February 19
Exam 2	Derivatives	90 pts.	March 29
Exam 3	Integrals and Multivariate Derivatives	90 pts.	May 10
Group Presentations	20 Points Each	60 pts.	Before Exams
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. Please attend class as often as you can. You are responsible for any material you miss. The Day By Day notes will help you greatly in this regard.

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, as 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 (February 18). 2 – Describing Functions Using Derivatives (March 27). 3 – Multivariate Functions (May 7).

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. Important Grading Feature: If your homework percentage is lower than your exam percentage, I will replace your homework percentage with your exam percentage. Therefore, your homework grade cannot be lower than your exam grade.

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 2013 semester are 10:20 to 11:00, Monday, Wednesday, and Friday 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 not as 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 find different interactive activities for us to work on. Your job is to use me, your text, your friends, and any other resources to become adept at the material.

Homework 1, due February 8	Section 1.1: #14 page 5, #6 page 71 Section 1.2: #14 page 12, #52 page 74 Section 1.3: #14 page 19
Homework 2, due February 15	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 March 1	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 12	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 March 26	Section 4.1: #18 page 181, #28 page 181 Section 4.2: #32 page 187 Section 4.3: #28 page 192, #32 page 192
Homework 6, due April 8	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 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 Section 6.3: #10 page 288
Homework 8, due April 24	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 6	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	Tuesday	Wednesday	Friday
January 28 Day 1 Introduction Section 1.1	January 29 Day 2 Functions Section 1.1	January 30 Day 3 Linear Functions Section 1.2	February 1 Day 4 Rates Section 1.3
February 4 Day 5 Economics Examples Section 1.4	February 5 Day 6 Econ Examples Section 1.4	February 6 Day 7 Exponential Functions Section 1.5	February 8 Day 8 Homework 1 Due Logarithms Section 1.6
February 11 Day 9 Growth and Decay Section 1.7	February 12 Day 10 Transformations Section 1.8	February 13 Day 11 Polynomials Section 1.9	February 15 Day 12 Homework 2 Due Polynomials Section 1.9
February 18 Day 13 Presentation 1	February 19 Day 14 Exam 1	February 20 Day 15 Instantaneous Change Section 2.1	February 22 Day 16 Derivatives Section 2.2
February 25 Day 17 Derivatives Section 2.3	February 26 Day 18 Second Derivative Section 2.4	February 27 Day 19 Econ Examples Section 2.5	March 1 Day 20 Homework 3 Due Polynomial Formulas Section 3.1
March 4 Day 21 Exponential Formulas Section 3.2	March 5 Day 22 Chain Rule Sections 3.4	March 6 Day 23 Product and Quotient Rules Section 3.3	March 8 Day 24 Derivative Rules Chapter 3
March 11 Day 25 Extrema Section 4.1	March 12 Day 26 Homework 4 Due Inflection Points Section 4.2	March 13 Day 27 Global Extrema Section 4.3	March 15 Day 28 Econ Examples Section 4.4
March 25 Day 29 Econ Examples Section 4.5	March 26 Day 30 Homework 5 Due Logistic Growth and Surge Functions Sections 4.7 and 4.8	March 27 Day 31 Presentation 2	March 29 Day 32 Exam 2
April 1 Day 33 Definite Integrals Section 5.1	April 2 Day 34 Definite Integrals Section 5.2	April 3 Day 35 Areas Section 5.3	April 5 Day 36 Areas Section 5.3

April 8 Day 37 Homework 6 Due Fundamental Theorem Section 5.4	April 9 Day 38 Fundamental Theorem Section 5.5	April 10 Day 39 Econ Examples Section 6.1	April 12 Day 40 Econ Examples Section 6.2
April 15 Day 41 Econ Examples Section 6.3	April 16 Day 42 Antiderivatives Section 7.1	April 17 Day 43 Homework 7 Due Substitution Section 7.2	April 19 Day 44 Analyzing Antiderivatives Section 7.3
April 22 Day 45 Antiderivatives Section 7.4	April 23 Day 46 Multivariate Functions Section 9.1	April 24 Day 47 Homework 8 Due Cross Sections Section 9.1	April 26 Day 48 Contours Section 9.2
April 29 Day 49 Partial Derivatives Section 9.3	April 30 Day 50 Second Partial Derivatives Section 9.4	May 1 Day 51 Optimization Section 9.5	May 3 Day 52 Optimization Section 9.5
May 6 Day 53 Homework 9 Due Review	May 7 Day 54 Presentation 3	May 8 Day 55 Review	May 10 Day 56 Exam 3

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Last updated January 18, 2013