MATH 206 Applied Calculus for Business

Spring 2015

Section 001 8:00 to 9:00 MTW F

Section 002 9:10 to 10:10 MTW F

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

Classroom: Swart 13 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.	February 24
Exam 2	Derivatives	90 pts.	April 3
Exam 3	Integrals and Multivariate Derivatives	90 pts.	May 15
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 23). 2 – Describing Functions Using Derivatives (April 1). 3 – Multivariate Functions (May 12).

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 Spring 2015 semester are 10:20 to 11:00 Tuesday, 2:00 to 3:00 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.

Monday	Tuesday	Wednesday	Friday
February 2 Day 1 Introduction Section 1.1	February 3 Day 2 Functions Section 1.1	February 4 Day 3 Linear Functions Section 1.2	February 6 Day 4 Rates Section 1.3
February 9 Day 5 Economics Examples Section 1.4	February 10 Day 6 Econ Examples Section 1.4	February 11 Day 7 Exponential Functions Section 1.5	February 13 Day 8 Homework 1 Due Logarithms Section 1.6
February 16 Day 9 Growth and Decay Section 1.7	February 17 Day 10 Transformations Section 1.8	February 18 Day 11 Polynomials Section 1.9	February 20 Day 12 Homework 2 Due Polynomials Section 1.9
February 23 Day 13 Presentation 1	February 24 Day 14 Exam 1	February 25 Day 15 Instantaneous Change Section 2.1	February 27 Day 16 Derivatives Section 2.2
March 2 Day 17 Derivatives Section 2.3	March 3 Day 18 Second Derivative Section 2.4	March 4 Day 19 Econ Examples Section 2.5	March 6 Day 20 Homework 3 Due Polynomial Formulas Section 3.1
March 9 Day 21 Exponential Formulas Section 3.2	March 10 Day 22 Chain Rule Section 3.3	March 11 Day 23 Product and Quotient Rules Section 3.4	March 13 Day 24 Derivative Rules Chapter 3
March 16 Day 25 Extrema Section 4.1	March 17 Day 26 Homework 4 Due Inflection Points Section 4.2	March 18 Day 27 Global Extrema Section 4.3	March 20 Day 28 Econ Examples Section 4.4
March 30 Day 29 Econ Examples Section 4.5	March 31 Day 30 Homework 5 Due Logistic Growth and Surge Functions Sections 4.7 and 4.8	April 1 Day 31 Presentation 2	April 3 Day 32 Exam 2
April 6 Day 33 Definite Integrals Section 5.1	April 7 Day 34 Definite Integrals Section 5.2	April 8 Day 35 Areas Section 5.3	April 10 Day 36 Areas Section 5.3
April 13 Day 37 Homework 6 Due Fundamental Theorem Section 5.4	April 14 Day 38 Fundamental Theorem Section 5.5	April 15 Day 39 Antiderivatives Section 6.1	April 17 Day 40 Antiderivatives Section 6.2
April 20 Day 41 Analyzing Antiderivatives Section 6.3	April 21 Day 42 Homework 7 Due Econ Examples Section 6.4	April 22 Day 43 Econ Examples Section 6.5	April 24 Day 44 No Class
April 27 Day 45 Substitution Section 6.6	April 28 Day 46 Multivariate Functions Section 8.1	April 29 Day 47 Homework 8 Due Cross Sections Section 8.1	May 1 Day 48 Contours Section 8.2
May 4 Day 49 Partial Derivatives Section 8.3	May 5 Day 50 Second Partial Derivatives Section 8.4	May 6 Day 51 Optimization Section 8.5	May 8 Day 52 Optimization Section 8.5
May 11 Day 53 Homework 9 Due Review	May 12 Day 54 Presentation 3	May 13 Day 55 Review	May 15 Day 56 Exam 3

Link to Homework problems for Spring semester.

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Last updated January 19, 2015