MATH 206 Applied Calculus for Business

Fall 2014

Section 004 1:50 to 2:50 MTW F

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

Classroom: Swart 14 Text: Applied Calculus 5^th edition, by Hughes-Hallett, Gleason, Lock, Flath, et al. Link to Day By Day notes

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 may 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.	September 26
Exam 2	Derivatives	90 pts.	October 28
Exam 3	Integrals and Multivariate Derivatives	90 pts.	December 12
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 (September 24). 2 – Describing Functions Using Derivatives (October 27). 3 – Multivariate Functions (December 9).

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 percentage cannot be lower than your exam percentage.

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 2014 semester are 9:10 to 11:00 Tuesday and 3:00 to 4:00 Wednesday, 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 September 16	Section 1.1: #22 page 6, #6 page 78 Section 1.2: #12 page 13, #24 page 14 Section 1.3: #20 page 24
Homework 2, due September 23	Section 1.4: #30 page 37 Section 1.5: #30 page 45 Section 1.6: #42 page 51 Section 1.7: #44 page 60 Section 1.8: #30 page 64
Homework 3, due October 7	Section 1.9: #22 page 70 Section 2.1: #14 page 96 Section 2.2: #10 page 101 Section 2.3: #16 page 109 Section 2.4: #30 page 118
Homework 4, due October 17	Section 2.5: #14 page 123 Section 3.1: #64 page 144 Section 3.2: #44 page 149 Section 3.3: #36 page 155 Section 3.4: #34 page 160
Homework 5, due October 24	Section 4.1: #30 page 182, #36 page 183 Section 4.2: #30 page 188 Section 4.3: #14 page 192, #36 page 193
Homework 6, due November 5	Section 4.4: #28 page 201 Section 4.5: #8 page 207 Section 5.1: #20 page 248 Section 5.2: #14 page 254 Section 5.3: #12 page 259
Homework 7, due November 14	Section 5.4: #30 page 266 Section 5.5: #6 page 270 Section 6.1: #24 page 296 Section 6.2: #32 page 301, #66 page 301
Homework 8, due November 24	Section 6.3: #8 page 305 Section 6.4: #12 page 311 Section 6.5: #14 page 315 Section 6.6: #28 page 320, #36 page 320
Homework 9, due December 8	Section 8.1: #14 page 357 Section 8.2: #20 page 365 Section 8.3: #24 page 376 (include reasons) Section 8.4: #28 page 381 Section 8.5: #18 page 386

Monday	Tuesday	Wednesday	Friday
September 1 No Class	September 2 No Class	September 3 Day 1 Introduction Section 1.1	September 5 Day 2 Functions Section 1.1
September 8 Day 3 Linear Functions Section 1.2	September 9 Day 4 Rates Section 1.3	September 10 Day 5 Economics Examples Section 1.4	September 12 Day 6 Econ Examples Section 1.4
September 15 Day 7 Exponential Functions Section 1.5	September 16 Day 8 Homework 1 Due Logarithms Section 1.6	September 17 Day 9 Growth and Decay Section 1.7	September 19 Day 10 Transformations Section 1.8
September 22 Day 11 Polynomials Section 1.9	September 23 Day 12 Homework 2 Due Polynomials Section 1.9	September 24 Day 13 Presentation 1	September 26 Day 14 Exam 1
September 29 Day 15 Instantaneous Change Section 2.1	September 30 Day 16 Derivatives Section 2.2	October 1 Day 17 Derivatives Section 2.3	October 3 Day 18 Second Derivative Section 2.4
October 6 Day 19 Econ Examples Section 2.5	October 7 Day 20 Homework 3 Due Polynomial Formulas Section 3.1	October 8 Day 21 Exponential Formulas Section 3.2	October 10 Day 22 Chain Rule Section 3.3
October 13 Day 23 Product and Quotient Rules Section 3.4	October 14 Day 24 Derivative Rules Chapter 3	October 15 Day 25 Extrema Section 4.1	October 17 Day 26 Homework 4 Due Inflection Points Section 4.2
October 20 Day 27 Global Extrema Section 4.3	October 21 Day 28 Econ Examples Section 4.4	October 22 Day 29 Econ Examples Section 4.5	October 24 Day 30 Homework 5 Due Logistic Growth and Surge Functions Sections 4.7 and 4.8
October 27 Day 31 Presentation 2	October 28 Day 32 Exam 2	October 29 Day 33 Definite Integrals Section 5.1	October 31 Day 34 Definite Integrals Section 5.2
November 3 Day 35 Areas Section 5.3	November 4 Day 36 Areas Section 5.3	November 5 Day 37 Homework 6 Due Fundamental Theorem Section 5.4	November 7 Day 38 Fundamental Theorem Section 5.5
November 10 Day 39 Antiderivatives Section 6.1	November 11 Day 40 Antiderivatives Section 6.2	November 12 Day 41 Analyzing Antiderivatives Section 6.3	November 14 Day 42 Homework 7 Due Econ Examples Section 6.4

November 17 Day 43 Econ Examples Section 6.5	November 18 Day 44 Substitution Section 6.6	November 19 Day 45 Substitution Section 6.6	November 21 Day 46 Multivariate Functions Section 8.1
November 24 Day 47 Homework 8 Due Cross Sections Section 8.1	November 25 Day 48 Contours Section 8.2	November 26 No Class	November 28 No Class
December 1 Day 49 Partial Derivatives Section 8.3	December 2 Day 50 Second Partial Derivatives Section 8.4	December 3 Day 51 Optimization Section 8.5	December 5 Day 52 Optimization Section 8.5
December 8 Day 53 Homework 9 Due Review	December 9 Day 54 Presentation 3	December 10 Day 55 Review	December 12 Day 56 Exam 3

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Last updated July 31, 2014