MATH 140-01
Applied Calculus
Syllabus for Summer 2010
Mon, Tues, Wed, Thurs & Fri, 9:40am –
12:10am
324 Gildemeister Hall
Prerequisite: MATH 112 or MATH 120 or a qualifying score on the mathematics placement exam.
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, interpretation, 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) 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.
|
Text: Applied
Calculus by Hughes-Hallett
(3rd Ed.). |
Text Purchasing Options:
|
Course Website: http://course1.winona.edu/eerrthum/math140
Instructor: Dr. Eric Errthum Office: 124A Gildemeister Hall
Winona Email Username: eerrthum Office Phone: 474-5775
Office Hours: Every day 9:00 – 9:30 and 12:15 – 1:00.
Grading: Attendance 100
points------ 11.1%
Homework (scaled as
needed):
Paper: 100
points------ 11.1%
WileyPLUS: 130
points------ 14.5%
Quizzes (7 @ 20 points,
drop lowest) 120 points------ 13.3%
Midterms (3 @ 100
points) 300 points------ 33.3%
Final 150
points------ 16.7%
-------
900
points total
Grades: A = 90% (810 pts), B = 80% (720 pts), C = 70% (630 pts), D = 60% (540 pts)
Attendance: Since this summer course will be delivered over a short period of time, it is crucial that you make it to class every day. An attendance sheet will be passed around each day. You are to legibly sign your name (and only your name) on the sheet. It is your responsibility to make sure you sign the sheet.
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. Group work is allowed, however each person must submit 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 type-written in complete sentences and handed in as a clean print-off at the beginning of class (graphs and tables can be handwritten into the document). Mathematical expressions should be created with Word’s Equation Editor. (A quick tutorial for using Equation Editor can be found here. You can also ask your instructor for help.) Your solutions will be graded on the correctness and completeness (i.e. the “why”) of the solution, the clear communication of your solution, and grammar. Problem numbers can be found in the schedule below. These homework assignments are due at the beginning of class each day.
WileyPLUS Homework: There will be additional questions on the WileyPLUS webpage for this course. The problems and due dates for these assignments are found online at: http://edugen.wiley.com/edugen/class/cls167476/. Some tips on doing online homework effectively can be found below. These homework assignments are due at 9AM (on Quiz and Exam Days) or at the beginning of class each day. 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 $60 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 ASAP.
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. For 3 of the 7 quizzes, you will be working in randomly assigned groups of 3.
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 the last day of class: Friday, May 28th at 9:40am.
Extra Credit: There will be four written projects available for you to do as extra credit. Your response to the projects must be type-written 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 do not have to frame your responses in the form of a letter). You may work alone or with a partner. Rubric for projects: Correct Solution (15 points), Communication/Explanation of Solution (25 points). If you need help formatting or typing the mathematical content or have any other questions or problems, please see the instructor. The projects: Project 1 (requires Chapter 1 material), Project 2 (requires Chapter 2 material), Project 3 (requires Chapter 4 material), Project 4 (requires Chapter 6 material). Extra Credit projects can be handed in whenever you complete them, however the deadline for submissions is the Final Exam (May 28th).
Resources: There is tutoring available through WSU Tutoring Services. Schedules are available at www.winona.edu/tutoring by clicking on “TutorTrac—Find a Tutor” and then searching by course. In order to access TutorTrac off campus, it is necessary to use VPN, so instructions are included on that webpage. Tutors generally have drop-in hours and individual times available. While drop-in hours do not require an appointment and generally will not change from week to week, individual hours are flexible, and require the student to sign up 24 hours in advance. For more information you can also contact Jillian Quandt: JQuandt at winona.edu.
Desire2Learn: Many course materials can be found on D2L including solutions to quizzes and 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 and most quizzes 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.
Late/Missed Work: Late homework or missed quizzes will result in a score of zero. 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 |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
|
5/10 |
Introductions 1.1 – 1.4 Functions Rates of Change
|
1.4 – 1.7
|
1.8 - 1.10
|
Chapter 1 Quiz 2.2 – 2.4
|
2.5 Chapter 2
(Group) Quiz 3.1 – 3.2, 3.5
|
|
5/17 |
EXAM I 3.3 – 3.4 |
Chapter 3 Quiz 4.1 – 4.3 Inflection Points
HW #22: (pg 186)
4.2: 22, 24 |
4.4 Review Chapter 4 (Group) Quiz |
EXAM II 5.1 – 5.3
|
5.3 cont – 5.5, 6.1
HW #29: (pg 264)
5.5: 4, 10 |
|
5/24 |
Chapter 5 Quiz 6.2 – 6.3 Present and Future
Values |
Review Chapter 6 (Group) Quiz 7.1 |
EXAM III 7.1, cont
|
Chapter 7 Quiz
|
Final Exam |
#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. Some assignments are short (3 – 4 problems) and some can be quite long (11 – 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. If you need help installing Firefox, click here or contact the instructor.
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!
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.