MATH 140-04 Applied Calculus
Syllabus for Fall 2014

Tues and Thurs, 2:00 – 3:20pm

155 Gildemeister Hall

Instructor: Dr. Eric Errthum              Winona Email Username: eerrthum             Office: 205 Gildemeister Hall            Office Hours:  See homepage. Or by appointment on any day.

Prerequisite: MATH 112, MATH115 or MATH 120 or a qualifying score on the mathematics placement exam.

Text:   Applied Calculus by Hughes-Hallett (5th Ed.).
            WileyPLUS access to online content.

 

 

 

Calculator:
Texas Instrument TI-89 or TI-92 recommended.
Ability to do symbolic calculus is required.

Ask at Math/Stats Department Office (GI322) for rental

Text Purchasing Options:

Unbound Text bundled with WileyPLUS access: $129. Purchase at WSU bookstore.

WileyPLUS access and an electronic (PDF) copy of the text: $75. Purchase on WileyPLUS website.

Bound version of Text: $55 - $125 (Amazon.com or WSU Bookstore)
WileyPLUS access: $75.

Total: $130 - $200

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

About This Course:  This course is intended to provide the student with a clear understanding of the ideas of calculus. Unlike “traditional” calculus classes that concentrate on the symbolic computations, this course specifically strives towards applying the mathematics to real-life situations (often in business/finance) and emphasizes the understanding and communication of the concepts and ideas (although it’ll also have its fair share of symbolic and numerical calculations). In other words, compared to other calculus courses you may have taken or heard about, in this course you will do less formulaic operations and much more explanation, application, and communication.

Expectations: Students who complete this course with a passing grade are expected to be able to demonstrate the following skills: (i) Mastery of prerequisite material, (ii) Use technology to perform the basic calculations of calculus, (iii) Apply the correct calculus techniques and/or technology in the appropriate situations, (iv) Understand the connections between visual, tabular, and algebraic data and how calculus applies to each, (v) Communicate clearly what aspect of calculus (or mathematics in general) is required of a given situation and why.

Grading:    Homework (scaled as needed)             150 points------ 21.43%
                    Quizzes (6 @ 20 points, drop lowest)  100 points------ 14.28%
                    Midterms (3 @ 100 points)                  300 points------ 42.86%
                    Final                                                      150 points------ 21.43%
                                                                              -------
                                                                                 700 points total

Grades:  A = 90% (630 pts), B = 80% (560 pts), C = 70% (490 pts), D = 60% (420 pts). There will be no curving of individual assessments.

Technology:   Graphing calculators are required, preferably a Texas Instrument TI-89 or TI-92. Some models of Casio and other brands might be sufficient, check with the instructor. The calculator should have a Computer Algebra System (CAS), i.e. be able to do symbolic derivatives and integrals. The Math department will loan calculators for a semester. Contact the secretary in Gildemeister 322 to do so. During exams you will be allowed to use calculators. You MAY NOT use your cell phone, laptop, ipad, or other device capable of electronic communication in place of a calculator.

Homework:    Homework will be assigned daily even if it is not specifically announced in class. Questions on the quizzes and exams will be based on assigned homework. All homework problems will be done through the WileyPLUS webpage for this course: http://edugen.wileyplus.com/edugen/class/cls409828/. Homework for a section is due either on the following Monday or the day of the quiz (whichever comes first, see schedule below). All assignments are due in the morning at 4am so as to encourage you to work on the problems long before the due date. 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 $75 since WileyPLUS access includes an electronic (HTML and PDF) copy of the text. If you have any problems logging onto WileyPLUS or doing any of the homework assignments, please contact the instructor.

Quizzes:    We will have 6 short (approx. 20-minute) quizzes. 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 Tuesday, December 9, 1:00 – 3:00pm.

Resources:      The Mathematics Achievement Center (MAC) is located in 313 Tau Center on West Campus and offers free tutoring. More information available at: The MAC Website. Also, you’re welcome to stop by my office during office hours to ask questions.

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.

Late/Missed Work: Late homework or missed quizzes will result in a score of zero. Make-up quizzes and make-up exams before the time of the normal quiz or exam 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

Introductions
1.1 Functions

1.2 Linear Functions
1.3 Average Rate of Change

9/1
HW 1.1 – 1.3 Due Tuesday at 4am

1.4 Economics Applications:

Cost and Revenue
Supply and Demand
1.X Using CAS calculator to solve

1.5 Exponential Functions
1.6 Natural Logarithm
1.7 Exponential Growth and Decay

9/8
HW 1.4 – 1.6 Due
Monday at 4am


HW 1.7– 1.10 Due on Thursday at 4am

1.7 Present and Future Values

1.8 New Functions from Old
1.9 Proportionality, Power Functions, and Polynomials

1.10 Periodic Functions

Quiz: Chapter 1
2.1 Instantaneous Rate of Change

9/15

HW 2.1 Due Monday at 4am

2.2 The Derivative Function
2.3 Interpretations of the Derivative

2.3, cont.

2.4 The Second Derivative

9/22
HW 2.2 – 2.3 Due Monday at 4am

 

HW 2.4 - 2.5 Due Thursday at 4am

2.5 Marginal Cost and Revenue

3.X

(In place of 3.1, 3.2 and 3.5)
Derivatives Using CAS Calculator

Linearity Rule

Quiz: Chapter 2

Review of Chapters 1 & 2

9/29

EXAM I

3.3 Chain Rule

3.4 Product and Quotient Rule

10/6
HW 3.1 – 3.5 Due Monday at 4am

4.3 Global Maxima & Minima

4.1 Local Maxima & Minima

4.2 Inflection Points
4.4 Profit, Cost, Revenue

10/13
HW 4.1 – 4.3 Due Monday at 4am

Quiz: Chapter 3 thru 4.3

4.4, cont.

4.5 Average Cost
4.6 Elasticity of Demand

9.1 Mathematical Modeling Using Differential Equations

10/20
HW 4.4 – 4.6 Due Monday at 4am

9.1, cont.
9.2 Solutions of Differential Equations

9.X Solving Diff Eqs with CAS

9.4 Exponential Growth and Decay (Again)

9.5 Applications and Modeling

4.7 Logistic Growth

10/27

HW 9.1 – 9.5, 4.7 Due Monday at 4am

Quiz: Sections 4.4 – 4.7
and Chapter 9

Review of Chapters 3, 4, and 9

EXAM II

11/3

5.1 Distance and Accumulated Change
5.2 The Definite Integral

5.3 The Definite Integral as Area

5.3, cont.

5.4 Interpretations of the Definite Integral

11/10
HW 5.1 – 5.4 Due Monday at 4am

No Class
Veteran’s Day

5.5 Fundamental Theorem of Calculus

5.6 Average Value

11/17

HW 5.5 – 5.6 Due Monday at 4am

Quiz: Chapter 5
6.1 Analyzing Antiderivatives Graphically

6.2 Antiderivatives and Indefinite Integrals
6.X Integration Using CAS Calculator

6.3 Using the Fundamental Theorem

6.4 Consumer and Producer Surplus

11/24
HW 6.1 – 6.3 Due Monday at 4am

6.4, cont.

6.5 Present and Future Values

No Class
Thanksgiving

12/1
HW 6.4 – 6.5 Due Monday at 4am


Quiz: Chapter 6
Review of Chapters 5 & 6

EXAM III

 

Final Exam

Tuesday, December 9

1:00pm – 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: Do not wait until the night before the assignment (or collection of assignments) is due to do it. If you lose your internet connection or experience technical problems, you will not be able to hand in the assignment on time. Most assignments are 5 – 12 problems. Make sure you leave yourself enough time to take full advantage of the multiple attempts.

#3: WileyPLUS will only accept the 100% correct answer. So you will not likely be able to guess the answer. At the same time, if you have almost the right answer, but you’re missing something small like a minus sign, WileyPLUS will still mark it incorrect without any hint of how close you are to the correct answer. Also, WileyPLUS can be very particular about how you enter an answer. For all these reasons it is important that you are careful about how you work out the problem and report the solution. This is, in general, an important lesson to learn. If after double-checking your work, you still think you are correct, show your work to a tutor or the instructor.

#4: Don’t use any method on WileyPLUS that won’t work on an exam. For example, many questions on WileyPLUS will be presented as multiple-choice and you can “solve” it by checking each option. However, on a quiz or exam the same question will probably not be multiple-choice, so you need to know how to find the correct answer from scratch. If you don’t know how to do an assignment without “shortcuts”, ask a fellow student, a tutor, or the instructor.

#5: After the due date has passed, 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.

#6: 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.

 

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 and gender identities, 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

Details about Campus Resources

 

The Standard Disclaimer applies.

 

© Eric Errthum, November 2014, all rights reserved.