Math 206 Applied Calculus for Business

Fall 2016

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: Nurs Ed 148A Text: Applied Calculus 5^th ed., 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 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.

Liberal Arts Education: Math 206 is part of the University Studies Program (USP) as an EXPLORE course in the NATURE category, and contributes to an education in the Liberal Arts. In this sense, “Liberal” means “broad”, and “Arts” means “skills”, so that someone educated in the Liberal Arts is able to think critically and make connections to a variety of disciplines and fields. Someone educated in the Liberal Arts is a responsible member of society, is engaged in the community, and is able to understand the issues of the day. They are problem solvers, and have learned how to learn new skills and knowledge. The field of Mathematics is vital to a Liberal Arts education, as quantitative data is collected and used to create mathematical models in virtually every discipline. Calculus is the study of how functions change and is guided by the symbolic manipulation of expressions. Being able to analyze data and draw conclusions from data through modeling is a vital component of an educated member of society.

Grading: Final grades are based on 410 points:

	Topic	Points	Tentative Date
Exam 1	Functions	80 pts.	September 30
Exam 2	Derivatives	90 pts.	November 1
Exam 3	Integrals and Multivariate Derivatives	90 pts.	December 16
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: To demonstrate your competency in Calculus via oral communication, 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; however, you may 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 28). 2 – Describing Functions Using Derivatives (October 31). 3 – Multivariate Functions (December 13).

Homework: To demonstrate your competency in Calculus via written communication, I will collect several homework problems about 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. 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. Furthermore, as this is your opportunity to show me what you have learned, your submitted homework should be neatly written or typed, without crossed out sections or scribbles. Be professional and make your work products reflect your own professionalism. 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 final homework percentage cannot be lower than your exam percentage.

ePortfolio Information: Math 206 is part of the USP and is designated as an EXPLORE course in the NATURE category. Therefore, you will need to include several work products from the course in your ePortfolio. I have designated five problems in the attached Homework Problems as artifacts for your ePortfolio. You will need to scan each graded problem and include a paragraph written to your future self about describing how this problem fits into the overall purpose of Calculus as a discipline. You may want to compose these reflections paragraphs later in the course, after you have developed an appreciation of Calculus, instead of at the time the work is graded. Your CONNECT course that you take as the final part of the USP program will require you to look back on these artifacts, so you need to make sure you give yourself good products with which to work.

Office Hours: Office hours are times when I will be in my office to help you with the course. You may ask questions about your homework, about the text, about topics from class, or any other issues you may have. You will not be bothering me as I have set aside these times in my schedule solely for talking to students about coursework. There will be 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 2016 semester are 10:20 to 11:00 Tuesday, 1:45 to 2:30 Monday and Wednesday, or by appointment.

Early Alert Information: To provide you with early feedback on your performance in the course, our class will participate in the Early Alert program. It is common for students to be unaware of or over-estimate their academic performance in classes, so this will help you be aware early on of your progress and provide strategies for success in the classroom. The registrar’s office will send an email to students with academic and/or attendance issues during the 5^th week of classes. If you receive such an email, be sure you read it carefully and arrange to meet with me or a counselor to develop an appropriate action plan.

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 personal belief is that one learns best by doing. I believe that you must be truly engaged in the learning process to learn well. Therefore, I do not think that my role as your teacher is to tell you the answers to the problems we will encounter; rather I believe I should point 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. The Day By Day notes also include Skills that I expect you to attain.

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

Link to Homework for Fall 2016 semester.

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Last updated August 13, 2016