MATH 206 Applied Calculus for Business

Fall 2012

Section 001 8:00 to 9:00 MTW F

Instructor: Dr. Chris Edwards Phone: 424-1358 or 948-3969 Office: Swart 123 Link to Day by Day notes.

Classroom: Swart 14 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 500 points:

	Topic	Points	Tentative Date
Exam 1	Functions	80 pts.	September 28
Exam 2	Derivatives	90 pts.	October 30
Exam 3	Integrals and Multivariate Derivatives	90 pts.	December 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, 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 26). 2 – Describing Functions Using Derivatives (October 29). 3 – Multivariate Functions (December 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. 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 Fall 2012 semester are 2:00 to 3:00, Monday and Wednesday, and 9:15 to 11:00 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. 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 18	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 September 25	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 9	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 19	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 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 November 7	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 19	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 November 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 December 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

Monday	Tuesday	Wednesday	Friday
September 3 NO CLASS	September 4 NO CLASS	September 5 Day 1 Introduction Section 1.1	September 7 Day 2 Functions Section 1.1
September 10 Day 3 Linear Functions Section 1.2	September 11 Day 4 Rates Section 1.3	September 12 Day 5 Economics Examples Section 1.4	September 14 Day 6 Quiz 1 Econ Examples Section 1.4
September 17 Day 7 Exponential Functions Section 1.5	September 18 Day 8 Homework 1 Due Logarithms Section 1.6	September 19 Day 9 Growth and Decay Section 1.7	September 21 Day 10 Quiz 2 Transformations Section 1.8
September 24 Day 11 Polynomials Section 1.9	September 25 Day 12 Homework 2 Due Polynomials Section 1.9	September 26 Day 13 Presentation 1	September 28 Day 14 Exam 1
October 1 Day 15 Instantaneous Change Section 2.1	October 2 Day 16 Derivatives Section 2.2	October 3 Day 17 Derivatives Section 2.3	October 5 Day 18 Second Derivative Section 2.4
October 8 Day 19 Quiz 3 Econ Examples Section 2.5	October 9 Day 20 Homework 3 Due Polynomial Formulas Section 3.1	October 10 Day 21 Exponential Formulas Section 3.2	October 12 Day 22 Product and Quotient Rules Section 3.3
October 15 Day 23 Quiz 4 Chain Rule Sections 3.4	October 16 Day 24 Derivative Rules Chapter 3	October 17 Day 25 Extrema Section 4.1	October 19 Day 26 Homework 4 Due Inflection Points Section 4.2
October 22 Day 27 Global Extrema Section 4.3	October 23 Day 28 Quiz 5 Econ Examples Section 4.4	October 24 Day 29 Econ Examples Section 4.5	October 26 Day 30 Homework 5 Due Logistic Growth and Surge Functions Sections 4.7 and 4.8
October 29 Day 31 Presentation 2	October 30 Day 32 Exam 2	October 31 Day 33 Definite Integrals Section 5.1	November 2 Day 34 Definite Integrals Section 5.2
November 5 Day 35 Areas Section 5.3	November 6 Day 36 Areas Section 5.3	November 7 Day 37 Homework 6 Due Fundamental Theorem Section 5.4	November 9 Day 38 Quiz 6 Fundamental Theorem Section 5.5
November 12 Day 39 Econ Examples Section 6.1	November 13 Day 40 Econ Examples Section 6.2	November 14 Day 41 Econ Examples Section 6.3	November 16 Day 42 Quiz 7 Antiderivatives Section 7.1
November 19 Day 43 Homework 7 Due Substitution Section 7.2	November 20 Day 44 Analyzing Antiderivatives Section 7.3	November 21	November 23
November 26 Day 45 Antiderivatives Section 7.4	November 27 Day 46 Quiz 8 Multivariate Functions Section 9.1	November 28 Day 47 Homework 8 Due Cross Sections Section 9.1	November 30 Day 48 Contours Section 9.2
December 3 Day 49 Partial Derivatives Section 9.3	December 4 Day 50 Second Partial Derivatives Section 9.4	December 5 Day 51 Quiz 9 Optimization Section 9.5	December 7 Day 52 Optimization Section 9.5
December 10 Day 53 Homework 9 Due Review	December 11 Day 54 Presentation 3	December 12 Day 55 Review	December 14 Day 56 Exam 3

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Last updated July 30, 2012