MATH 140-03 Applied Calculus
Syllabus for Fall 2008

Tues & Thurs, 10:00 – 11:20am

301 Pasteur Hall

Prerequisite: MATH 120 or a qualifying score on the mathematics placement exam

Text & Calculator: Applied Calculus by Hughes-Hallett (3rd Ed.).
A graphing calculator is required, preferably Texas Instrument.

Course Website:     http://course1.winona.edu/eerrthum/math140

Instructor: Dr. Eric Errthum                          Office: 203L Stark Hall

Winona Email Username: eerrthum             Office Phone: 474-5775

Office Hours:  See schedule on my home page. Or by appointment on any day.

Grading:    Video Attendance:                                 30 points------- 3%
                    Homework (scaled as needed):
                          Paper:                                              100 points------ 10%
                          WileyPLUS:                                   100 points------ 10%
                    Quizzes (7 @ 20 points, drop lowest)  120 points------ 12%
                    Projects (4 @ 50 points)                       200 points------ 20%
                    Midterms (3 @ 100 points)                  300 points------ 30%
                    Final                                                      150 points------ 15%
                                                                              -------
                                                                               1000 points total

Grades:  A = 90% (900 pts), B = 80% (800 pts), C = 70% (700 pts), D = 60% (600 pts)

Quizzes:    We will have 7 short (approx. 15-minute) quizzes, one after each chapter. Each quiz will count for 20 points and the lowest quiz will be dropped from your grade.

Exams:     There will be three in-class exams and one comprehensive final exam. Exam dates are tentative until officially announced in class. The final exam is tentatively scheduled for Wednesday, December 10, 1:00 – 3:00pm. Sample Exams and Quizzes can be found here.

Homework:    Homework will be assigned daily and will be collected on Tuesdays. Questions on the quizzes and exams will be based on assigned homework. Group work is allowed, however each person must hand in their own answers in their own words. There will be two types of homework: Paper Homework: There will be about two or three questions from each section. Solutions to these questions are to be written legibly in complete sentences and handed in at the beginning of class on the following Tuesday. Your solutions will be graded on the correctness of the solution, the clear communication of your solution, and grammar. You may type your solutions if you wish. WileyPLUS Homework: There will be additional questions on the WileyPLUS webpage for this course. Due dates for these assignments are indicated online. The url for this class is: http://edugen.wiley.com/edugen/class/cls61221/. Some tips on doing online homework effectively can be found below.

WileyPLUS Info:      There should have been an access code bundled with unbounded versions of the text from the bookstore. If you bought a bounded version of the text or have a used-version from a previous semester, you will need to buy the access code separately online. (You can do so by going to the class url above and clicking “Register”.) The cost is approximately $50 since WileyPLUS access includes an electronic (HTML and PDF) copy of the text. Your user name is your WSU email. The first time you login your password is your 8-digit WSU Tech ID (including the beginning zeroes). You should change your password after the first login. More help can be found here. If you have any problems logging onto WileyPLUS or doing any of the homework assignments, please contact the instructor.

Projects:         There will be four written projects. Your response to the projects must be type written in business letter format and consist of complete sentences that not only present a solution but also explain how you obtained the solution. You may include equations, graphs, charts, etc. in your explanation. These projects are meant to be an exercise in communicating mathematics. Click here for an example project and here for a correct response. You may work alone or with a partner. If you work with a partner you only have to hand in one copy with both of your signatures. Rubric for projects: Solution (15 points), Communication/Explanation of Solution (25 points), Grammar and Professionalism (10 points). If you need help formatting or typing the mathematical content or have any other questions or problems, please see the instructor.

Extra Credit: There is an extra credit assignment for each chapter (except Chapter 7). Extra credit assignment due dates are indicated in the schedule below. Points earned through extra credit go only toward homework points and only a maximum of 130 points total will be given for homework.

Video Lectures:         On August 27th, my wife and I will be travelling to Ethiopia to bring home our newly adopted son. In replace of standard lectures, you can find video lectures linked to below. These videos require Adobe Flash player (which should already be on any WSU Laptop) and a high-speed connection. As you watch the videos you should take notes just like you would in class. Each video contains a set of questions and at the end of the video an email with your responses will be generated to be sent to the instructor. Although you will not be graded on the correctness of your responses, these will be used to measure video attendance. Make sure you actually send the email at the end. If for some technical reason you cannot send the email, you will have to email me manually after watching each video. In addition to the video lectures, during regular lecture time you can visit the listed instructor below for additional help. It is strongly suggested that you do NOT attempt to watch all eight videos at once. Instead, watch one or two a night, attempt the homework problems, and seek help from the other instructor during the regular lecture hour if needed. Here is a complete list of resources available to you during those two weeks.

Resources:      There is tutoring available on the third floor of Gildemeister Hall from 4pm-9pm on Monday through Thursday.

Desire2Learn:            Many course materials can be found on D2L including projects, solutions to quizzes and exams, sample exams, and approximate grades. If at any point during the semester you would like to know your exact grade, please email the instructor.

Technology:   Graphing calculators are required, preferably a Texas Instrument (TI-83, TI-86, or TI-87). During exams you will be allowed to use calculators. You MAY NOT use your cell phone, laptop, PDA, or other device capable of electronic communication in place of a calculator. Contact the instructor if you are having difficulties obtaining a calculator. In addition, some of the in-class demonstrations require Mathematica, which is available on WSU laptops. If you would like to view the demos on your laptop and need help installing Mathematica, see either the instructor or tech support.

Late/Missed Work: Late homework or missed quizzes will result in a score of zero. There are no make-up quizzes. Make-up exams will be given at the discretion of the instructor. If you miss class, it is your responsibility to obtain notes and assignments from fellow students. If you have an unavoidable absence, please inform the instructor beforehand.

Academic Dishonesty:  Any type of academic dishonesty (cheating, copying, using a solutions manual to do homework, etc.) will result in failure and will be reported to school authorities. If you are having trouble with an assignment, please see the instructor first.

Note:   This syllabus is subject to change if deemed necessary by the instructor.


Tentative Schedule of Events – Math 140

(subject to change)

 

Week Beginning

Tuesday

Thursday

8/25

BRING YOUR LAPTOPS TO CLASS

Introductions
Online Set-up and Help

Video Lecture Intro (3 min 22 sec)

Video Lecture 1.1: Functions (26 min 44 sec)

HW #1: (pg 4) 1.1: 12, 14, 18

No Class

Video Lecture: 1.2 : Linear Functions (27 min 31 sec)

Video Lecture: 1.3: Rates of Change (24 min 55 sec)

Video Lecture: 1.4: Economics Applications (27 min 27 sec)

HW #2: (pg 11) 1.2: 18, 20, 24
HW #3: (pg 19) 1.3: 18, 26
HW #4: (pg 29) 1.4: 20, 24, 26

9/1

Discussion Day with Pf. Lee

Video Lecture: 1.5: Exponential Functions (27 min 20 sec)

Video Lecture: 1.6: Natural Logarithm (29 min 30 sec)

HW #5: (pg 38) 1.5: 18, 20

HW #6: (pg 43) 1.6: 22

No Class

Video Lecture: 1.7: Exponential Growth and Decay & Present and Future Values (24 min 58 sec)

Continuous vs. Compounded Interest Demo

Video Lecture: 1.8: New Functions from Old Ones (21 min 54 sec)

HW #7: (pg 50) 1.7: 24, 30
HW #8: (pg 55) 1.8: 18, 20, 22

9/8

HWs #1-8 due

Quick Recap of Video Lectures

1.9 & 1.10
Proportionality, Power Functions, and Polynomials
Periodic Functions
Hw #9: (pg 61) 1.9: 26, 36
HW #10: (pg 68) 1.10: 14, 34
Project 1: The Lottery

Extra Credit #1: (pg 90): 2, 6, 8, 10

Quiz: Chapter 1
2.1 & 2.2
Instantaneous Rate of Change

HW #11: (pg 103) 2.1: 18, 24

9/15

2.2, cont.
2.3

The Derivative, cont.
HW #12: (pg 103) 2.1: 26, (pg 109) 2.2: 30

HW #13: (pg 116) 2.3: 28, 30, 36

Project 1 Due

2.4 & 2.5
The Second Derivative
Marginal Cost and Revenue
HW #14: (pg 122) 2.4: 22, 24, 26
HW #15: (pg 128) 2.5: 10, 14
Project 2: Production Analysis

Extra Credit #2: (pg 139): 24, 26, 28, 30, 32

9/22

Quiz: Chapter 2
Review of Chapters 1 & 2

EXAM I

9/29

Extra Credits #1 and #2 Due
3.1, 3.2, & 3.5
Derivatives of Polynomial, Exponential, Logarithmic Functions
Derivatives of Periodic Functions
HW #16: (pg 147) 3.1: WileyPLUS only
HW #17: (pg 152) 3.2: WileyPLUS only

3.3 & 3.4
Chain, Product, and Quotient Rules
HW #18: (pg 157) 3.3: WileyPLUS only
HW #19: (pg 161) 3.4: WileyPLUS only

HW #20: (pg 165) 3.5: WileyPLUS only

Extra Credit #3: (pg 172): 2, 4, 6, 10

10/6

Quiz: Chapter 3
4.1
Maxima & Minima
HW #21: (pg 180) 4.1: 18, 28

Project 2 Due

4.3, 4.2, 4.4
Global Minima & Maxima
Inflection Points
Profit, Cost, Revenue

HW #22: (pg 186) 4.2: 22, 24
HW #23: (pg 191) 4.3: 6, 10, 12
HW #24: (pg 199) 4.4: 24
Project 3: Profit Analysis

10/13

Quiz: Chapter 4
Review of Chapters 3 & 4
Extra Credit #4: (pg 207): 6, 10, 12, 14

Meet in Stark 103
Ivars Peterson
Newton's Clock: Chaos in the Solar System
Click here for more information

10/20

EXAM II

5.1 & 5.2
Introduction to the Definite Integral
HW #25: (pg 240) 5.1: 4, 10

Left- & Right- Handed Sums Program
(requires Mathematica)

10/27

Extra Credits #3 and #4 Due
5.2 & 5.3
The Definite Integral, cont
HW #26: (pg 247) 5.2: WileyPLUS only
HW #27: (pg 253) 5.3: WileyPLUS only

Project 3 Due
5.4 & 5.5
Fundamental Theorem of Calculus
HW #28: (pg 258) 5.4: 6, 30, 36

11/3

5.5
Fundamental Theorem of Calculus, cont
6.1
Average Value
HW #29: (pg 264) 5.5: 4, 10
HW #30: (pg 278) 6.1: 20
Project 4: Production Analysis II
Extra Credit #5: (pg 273): 2, 4, 8, 10

Quiz: Chapter 5
6.2
Consumer and Producer Surplus
HW #31: (pg 284) 6.2: 12

11/10

6.3
Present and Future Values
HW #32: (pg 288) 6.3: WileyPLUS Only
Extra Credit #6: (pg 292): 4, 6, 14, 18

Quiz: Chapter 6
Review of Chapters 5 & 6

11/17

EXAM III

7.1
Antiderivatives
HW #33: (pg 303) 7.1: WileyPLUS Only

11/24

Extra Credits #5 and #6 Due
7.2
Integrating by Substitution
HW #34: (pg 308) 7.2: WileyPLUS Only

NO CLASS
Thanksgiving Break

12/1

7.3
Using the Fundamental Theorem
HW #35: (pg 312) 7.3: 32, 34 (due 12/4)

Project 4 Due

Quiz: Chapter 7
Final Review

 

Final Exam

Wednesday, December 10

1:00 – 3:00pm


 

Welcome to college math!

 

If this is your first math class taken in college, there are some important things you need to know. College math classes are run very differently from high school math classes. On the surface it may seem they are similar as you listen to the lecture and take notes, but there are significant underlying differences. Knowing these ahead of time can help you make the most of this coming semester.

 

#1: College math classes generally stay on the schedule in the syllabus. If there is one day allotted to the topic that is probably all of the class time that will be spent on it, even if “most” of the students “don’t get it.”

 

#2: It is expected that you will read the text and do the problems in order to learn the material, even if no one checks up on you. The instructor might never collect the homework, but that doesn’t mean it doesn’t affect your grade.

 

#3: You will sometimes be responsible for material in the textbook that is not covered in class. If there is a text reading and/or homework problems covering a concept that was not discussed in class, you are still expected to learn it. If you don’t understand it, make an appointment with your instructor for help.

 

#4: Some material is covered only in class, is not in the textbook, and may not have any homework problems on it. If you miss class, you may miss content that you are responsible to know. If you have an unavoidable absence, be sure to get the notes and any announcements from a classmate.

 

#5: There will be test questions that don’t look “just like the homework.” In college, you are expected to focus on learning the concepts, not just memorizing how to do certain types of problems. These concepts can – and will – appear in very different forms on tests and quizzes.

 

#6: At times you will be expected to be able to explain why a problem is done a certain way in addition to being expected to do the problem. As you work on problems in class and on homework, don’t be satisfied with getting the correct answer; ask yourself why that method is logical, and how you could explain that logic to someone else.

 

#7: Most importantly, you are responsible for your own learning. If you attend class faithfully, get the notes and announcements if you have an unavoidable absence, read the text, do the homework and question yourself (as in #6), and still don’t understand something, it is up to you to get the extra help you need. Visit the instructor during office hours or make a special appointment to ask questions, form a study group, etc. There are many resources and people willing and happy to help, but you need to take the initiative and seek out the help you need.

 

Good luck on a happy and successful semester!


 

WileyPLUS Tips

 

#1: Do not try to sit down at a computer and just do your homework on WileyPLUS. Print off the problems and work through them in a notebook first. When you have completed the assignment on paper, then go back and enter your answers into WileyPLUS. This way you will have a good paper record to study from, to examine for errors if WileyPLUS marks something incorrect, and to show to a tutor or the instructor when getting help.

 

#2: The problems are not necessarily in order of easiness. Read over the whole assignment first and then try to do the problems that look easiest to you first. Often there are similar problems of varying difficulty and starting with the easier one or the one with a tutorial will help you understand how to do the harder ones.

 

#3: Don’t use any method on WileyPLUS that won’t work on an exam. For example, if you’re given a multiple choice question and just guess and check by plugging in the numbers, make sure you know how to get the correct answer without any choices given. If you don’t know how to do an assignment without “shortcuts”, ask a fellow student, a tutor, or the instructor.

 

#4: After the due date has passed or after your final submission, go back and look at the solutions for the problems you missed. Often there will be a link to a detailed solution to the problem. If you still can’t understand the solution, ask a fellow student, a tutor, or the instructor to help you.

 

#5: If you experience frequent technical problems while on WileyPLUS (i.e. computer or browser locking up, internet acting really slow, etc.) try using a different browser. Some flash applications cause Microsoft Internet Explorer to lock up, thus losing all of your work from that session. The best browser to use is Mozilla Firefox. If you need help installing Firefox, click here or contact the instructor.

 

 


 

This course can be used to satisfy the University Studies requirements for Basic Skills in Mathematics. Each of these courses must address at least four of the following outcomes.  These courses must include requirements and learning activities that promote students’ abilities to...

a.   use logical reasoning by studying mathematical patterns and relationships;

      Studying instantaneous rate of change of certain physical phenomena or processes in this course students learn the mathematical patterns and relationships about changes that happen over the interval of time and with logical reasoning they argue how they can obtain the rate of change at any given instant.  Similarly knowing the instantaneous rate of change of a certain physical phenomenon, i.e. the derivative of the function that modeled the phenomenon, students use logical reasoning to find the total change over a period of time.  With all derivative and anti-derivative theorems and formulae, students use logical reasoning to simplify and interpret the solutions in a meaningful way in terms of economics and finance.

b.  use mathematical models to describe real-world phenomena and to solve real-world problems - as well as understand the limitations of models in making predictions and drawing conclusions;

      Mathematical modeling and solving real-world problems is the primary emphasis of this course.  Students learn to find, for example, the price of the tickets which maximizes revenue, how much sales needed to maximize the profit, how much money should be spending on advertising to guarantee maximum sales, what is the time when the concentration of a drug in the blood is maximum and what is the maximum concentration, how to minimize the energy needed to perform a certain job with maximum efficiency, what is the radius of the trachea when a person coughs with a maximum thrust, what should be the shape of a can to minimize the cost of the material use, how to reach a ship in the least amount of time in the middle of the ocean when it calls for help, etc., etc. -- the list is long and strong.  All these problems use the knowledge of many functions like linear functions, polynomial functions, exponential functions, logarithm functions and some trig functions; and reasoning and understanding of the problem, limitations of the models, drawing a recent diagram, introducing the variables and notations, making predictions, knowing how to take derivatives and deriving conclusions.

      Modeling and solving real-world problems are also included in this course via the process of anti-derivative, where students are required to find area, average value of a certain value of a certain function which modeled the changes in price, demand or cost, find consumers and producers’ surplus, find present value or a future value of an estate or a deal in the process of negotiation, finding population of a certain country knowing the relative birth rate, growth rate and death rates etc. etc.

c.   organize data, communicate the essential features of the data, and interpret the data in a meaningful way;

      Students need to organize data; learn to read, understand and interpret essential features of the data in this course form the beginning to the end of the course in at least three different ways.  First one is from the tables, second one is from the formula of the functions modeling the scenario and third from the graphs that presents the scenario.  Without being able to organize, communicate and interpret a data students will not survive in this course.

d.   extract correct information from tables and common graphical displays, such as line graphs, scatter plots, histograms, and frequency tables;

      This course requires that students be allowed to use a graphing calculator.  They use a graphing calculator to extract correct information from tables and graphs.  First they need to understand the story, model with a function, then, use a calculator to analyze the function and finally they extract the meaning information to make a prediction for the story.  Students will learn how to connect the mathematics of a function to its appearance.

e.   express the relationships illustrated in graphical displays and tables clearly and correctly in words; and/or

      The required efficiency in language skill is extremely high in this course as all students will have to write their answers, interpretations with units in grammatically correct sentences in terms of finance and economics for all the problems they do whether the problems deal with elementary functions, derivatives or anti-derivatives.

f.    use appropriate technology to describe and solve quantitative problems.

Students use a graphing calculator at all times in this course for doing problems as described above.


Commitment to Inclusive Excellence:  WSU recognizes that our individual differences can deepen our understanding of one another and the world around us, rather than divide us. In this class, people of all ethnicities, genders, religions, ages, sexual orientations, disabilities, socioeconomic backgrounds, regions, and nationalities are strongly encouraged to share their rich array of perspectives and experiences.  If you feel your differences may in some way isolate you from WSU’s community or if you have a need of any specific accommodations, please speak with the instructor early in the semester about your concerns and what we can do together to help you become an active and engaged member of our class and community. 

Campus Resources

·         Student Support Services, Howell Hall 133, 457-5465 (www.winona.edu/studentsupportservices/)

·         Inclusion and Diversity Office, Kryzsko Commons Room 122, 457-5595 (www.winona.edu/culturaldiversity/)

·         Disability Resource Center, Maxwell 331, 457-2391 (www.winona.edu/disabilityservices/)

·         Counseling Center, Wabasha Hall 220, 457-5330 (www.winona.edu/counselingcenter/)

·         Writing Center, Minné Hall 348, 457-5505 (www.winona.edu/writingcenter/)

·         GLBTA Advocate, Wabasha Hall 220, 457-5330 (www.winona.edu/counselingcenter/)

·         Advising and Retention, Maxwell 308, 457-5600 (www.winona.edu/advising/)

Details about Campus Resources

·         Two good places to help you find resources of all kinds on campus are Student Support Services and the Inclusion and Diversity Office.  Both offices are dedicated to helping students of all races, ethnicities, economic backgrounds, nationalities, and sexual orientations.  They can facilitate tutoring and point you to a wide range of resources.  Student Support Services is in Howell Hall 133, and they can be reached at 457-5465.  The Inclusion and Diversity Office is in Kryzsko Commons Room 122, and they can be reached at 457-5595.

·         If you have a disability, the Disability Resource Center (DRC) can document it for your professors and facilitate accommodation. Their office is in Maxwell Hall, 3rd floor, and they can be reached at 457-2391.  If you have a documented disability that requires accommodation, please let me know as soon as possible. If you suspect you may have a disability, you are encouraged to visit the DRC as soon as possible.

·         College can be very stressful.  The Counseling Center is there to help you with a wide range of difficulties, ranging from sexual assault, depression, and grief after the loss of a loved one to stress management, anxiety, general adjustment to college, and many others.  Their office is located in Wabasha Hall 220, and they can be reached at 457-5330.

·         For help with writing and the development of papers, the English department has a Writing Center available to students and staffed by trained graduate students pursuing their Master’s degree in English.  The Writing Center is located in Minné Hall 348.  You can make an appointment on the sign-up sheet on the door or call 457-5505.

·         The GLBTA Advocate is responsible for documenting homophobic incidents on campus and working with the appropriate channels to get these incidents resolved. In addition, the advocate can direct people to GLBT resources on campus and in Winona.  Contact the Counseling Center for the name and number of the current GLBTA Advocate.  (Wabasha Hall 220, 457-5330) 

 

The Standard Disclaimer applies.