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 3rd 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.

Text Box: Final Grades:
Grade	Points (Percent)
A	369 (90 %)
A-	357 (87 %)
B+	340 (83 %)
B	328 (80 %)
B-	316 (77 %)
C+	299 (73 %)
C	287 (70 %)
C-	275 (67 %)
D+	258 (63 %)
D	246 (60 %)
D-	234 (57 %)
F	233 or fewer

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 donít just put down a numerical answer; I want to see how you did the problem.(You wonít 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 dayís 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