MATH 140-03
Applied Calculus
Syllabus for Fall 2007
Tues & Thurs, 10:00 – 11:20am
329 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.
Grading: Quizzes
(6 @ 20 points, drop lowest) 100
points------ 14.28%
Homework (scaled as
needed) 150 points------ 21.43%
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)
Quizzes: We will have 6 short 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 12, 1:00 – 3:00pm.
Homework: Homework will be assigned daily and will be collected the following week Thursday. 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. Homework can be found on and must be submitted through the MATH140 dropbox on D2L.
Extra Credit: Periodically extra credit assignments may be given. Points earned through extra credit go only toward homework points and only a maximum of 150 points total will be given for homework.
Technology: Graphing calculators are required, preferably a Texas Instrument. 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.
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, 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 |
|
8/27 |
Introductions |
1.2 & 1.3 |
|
9/3 |
1.4 & 1.5 |
1.6 & 1.7 |
|
9/10 |
1.8 & 1.9 Extra Credit: (pg 95): 12, 13, 17, 20, 21, 24, 27 |
1.10 HW #12: (pg 109) 2.2: 4, 9-12, 14, 16, 23 |
|
9/17 |
Quiz: Chapter 1 The Derivative,
cont. |
2.4 & 2.5 Extra Credit: (pg 139): 6, 10, 24, 26, 32 |
|
9/24 |
Quiz: Chapter 2 |
EXAM I |
|
10/1 |
3.1, 3.2, & 3.5 Derivatives of
Periodic Functions (will not be tested) |
3.3 & 3.4 |
|
10/8 |
Quiz: Chapter 3 |
4.2 Extra Credit: (pg 232): 1, 2 |
|
10/15 |
4.4 & 4.5 Profit, Cost,
Revenue HW #24: (pg 199)
4.4: 5,8,16,21,22,25 |
Quiz: Chapter 4 |
|
10/22 |
EXAM II |
5.1 & 5.2 Left- & Right- Handed Sums Program (Note: This file
requires Mathematica 6, |
|
10/29 |
5.2 & 5.3 |
5.4 & 5.5 |
|
11/5 |
5.5 |
Quiz: Chapter 5 |
|
11/12 |
6.3 |
Quiz: Chapter 6 |
|
11/19 |
Exam III |
No Class |
|
11/26 |
7.1 |
7.2 |
|
12/3 |
7.3 |
Final Review |
Final Exam
Wednesday, December 12
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!
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 (Short version):
Campus
Resources (Long version):
The Standard Disclaimer
applies.