MATH 160-04
Calculus I
Syllabus for Spring 2010
Mon, Tues, Thurs, & Fri, 10:00 –
10:50am
226 Gildemeister Hall
Prerequisite: 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. This course will concentrate on the symbolic, algebraic, functional computations, the meaning of those computations, and some of the applications of mathematics to real-life situations.
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) Compute limits, the derivative of any algebraically defined function, and basic antiderivatives (iii) Apply the correct calculus techniques in the appropriate situations, (iv) Understand the connections between visual and algebraic information and how calculus applies to each.
Text & Calculator: Calculus:
Early Transcendentals,
James Stewart, 6th ed.
No calculators will be allowed on any quiz or exam, but might be required for
some homework problems.
Course Website: http://course1.winona.edu/eerrthum/math160
Instructor: Dr. Eric Errthum Office: 124A Gildemeister Hall and 2B Lourdes Hall
Winona Email Username: eerrthum Office Phone: 474-5775
Office Hours: See schedule on my home page.
Grading: WeBWorK
Prep Final Assessments 95
points---- 10.00%
Homework (scaled as
needed) 90
points----- 9.47%
Quizzes (12 @ 15 points
each, drop lowest) 165 points---- 17.37%
Midterms (4 @ 100
points) 400
points---- 42.11%
Final 200
points---- 21.05%
--------------
950 points total
Grades: A = 90% (855 pts), B = 80% (760 pts), C = 70% (665 pts), D = 60% (570 pts)
WeBWorK Prep: A significant portion of your grade will depend on your mastery of prerequisite material in the form of WeBWorK Prep assessments. WeBWorK is located at: http://magpie.physics.winona.edu/webwork2/Math160_S2010_eerrthum/. You will take a series of 6 initial assessments. NO CALCULATORS ALLOWED during WeBWorK. You must complete the initial assessments by midnight on Saturday, January 16th. There will be NO EXTENSIONS on WeBWorK. Afterwards, WeBWorK will help you practice topics in which you need improvement. The Final Assessments for WeBWorK will be available on January 29th and must be completed by midnight on February 2nd. More information is located in the WeBWorK Prep Handout.
Homework: Homework will be assigned daily, even if not specifically mentioned in class (see list of problems in the schedule below). The period before a quiz, we will have a “Homework Day” on the corresponding material. During a Homework Day, students will be randomly selected to put solutions to assigned problems on the board. The grading rubric will be as follows:
· If the student has a solution to their given problem, they get 4 points, even if what they write on the board is wrong. However, they must write a solution that can be followed without explanation, not just the answer. In essence, all the student has to do is copy down the solution they've already worked out in their homework to the board.
· If the student doesn't have the problem given to them, they can put up any other problem from that week that hasn't already gone up on the board for 3 points.
· If the student is present but unprepared, they get 1 point.
· If the student is absent, they get 0 points.
The entire homework portion of your grade is based on these sessions.
Quizzes: We will have a short quiz almost every week (see schedule below). Each quiz will count for 15 points and the lowest quiz score will be dropped from your grade.
Exams: There will be four in-class exams and one comprehensive final exam. Exam dates are tentative until officially announced in class. The final exam is scheduled for Wednesday, May 5, 8:00 – 10:00am.
Extra
Credit: If one question gets
passed on by 3 students in a row, a volunteer will be asked to put up the
solution. This student will be awarded 5 points. Frequently quizzes and exams will contain bonus problems where students
will have the chance to earn extra credit points. No other extra credit will be
offered.
Resources: The Mathematics Achievement Center (MAC) is located in Gildemeister 135 and offers free tutoring with specialized tutors for Math160. The MAC will be staffed with two or three tutors Monday through Thursday, 10am – 7pm. The MAC will be open from 8am – 9pm, M-Th and open during the day on Friday for student use (even though tutors may not be present). Wireless and wired access is available. More information available at: The MAC Website.
Desire2Learn: Some course materials and approximate grades can be found on D2L.
Late/Missed
Work: 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 160
(subject
to change)
|
Week Starting |
Monday |
Tuesday |
Thursday |
Friday |
|
1/11 |
Intro and Review |
Chapter 1 |
Chapter 1, cont. |
2.1 & 2.2 |
|
1/18 |
NO CLASS |
2.3 |
Homework Day |
Quiz (2.1 – 2.3) |
|
1/25 |
2.4, cont |
2.5 |
Homework Day |
Quiz (2.4 – 2.5) |
|
2/1 |
2.7 |
2.8 |
Homework Day |
Quiz (2.6 – 2.8) |
|
2/8 |
EXAM I |
3.1 / 3.2 / 3.4 HW (pg 187) 3.2: 10 HW (pg 203): 3.4: 8, 10, 18, 20 |
3.1 / 3.2 / 3.4 HW (pg 203) 3.4: 26, 44 |
3.3 / 3.4 / 3.5 /
3.6 HW (pg 195) 3.3: 2, 4, 6, 16 HW (pg 203) 3.4: 12, 22, 32, 40 HW (pg 213) 3.5: 48, 52 HW (pg 220) 3.6: 4, 6, 10, 16, 20 |
|
2/15 |
Homework Day |
Quiz (over what we covered in lecture 2/9
thru 2/15) |
3.1 / 3.2 / 3.3 /
3.4 / 3.6 |
3.5 / 3.6 HW (pg 220) 3.6: 42, 46 |
|
2/22 |
Homework Day |
Quiz (over what we covered in lecture
2/16 thru 2/22) |
3.9 |
3.10 |
|
3/1 |
Homework Day |
Quiz (3.8 – 3.10) |
EXAM II |
4.1 |
|
3/8 |
NO CLASS |
|||
|
3/15 |
4.2 |
Homework Day |
Quiz (4.1 – 4.2) |
4.3, cont. 1st
Derivative Test and 2nd Derivative Test HW (pg 295) 4.3: 2, 6, 8, 10, 14, 24, 30, 68, 82 |
|
3/22 |
4.4 |
4.5 & 4.6 |
Homework Day |
Quiz (4.3 – 4.6) |
|
3/29 |
4.7, cont. |
4.9 |
Homework Day |
NO CLASS |
|
4/5 |
Quiz (4.7 – 4.9) |
EXAM III |
5.1 |
5.2 |
|
4/12 |
5.3 |
Homework Day |
Quiz (5.1 – 5.3) |
5.4, cont |
|
4/19 |
5.5, cont. |
Homework Day |
Quiz (5.4 – 5.5) |
7.1 |
|
4/26 |
Homework Day |
Quiz (6.1, 7.1) |
EXAM IV |
Final Review |
Final Exam
Wednesday, May 5
8:00am – 10:00am
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. This course includes requirements and
learning activities that promote students’ abilities to...
a. use logical reasoning by studying
mathematical patterns and relationships;
·
explain why
continuous functions satisfy intermediate value theorem
·
explain the
implication of speed with derivatives
·
explain why and
how x has to be close to a number a for f(x) to be close to a number L
·
explain the
connection of rise/run with derivatives when run is too small
·
explain the
limitations on the conclusions that can be drawn about a function from
knowledge of its first derivative, providing an example from a physical
phenomenon which demonstrates these limitations
·
explain the
limitations on the conclusions that can be drawn about a function from
knowledge of its second derivative, providing an example from a physical
phenomenon which demonstrates these limitations
·
explain the
relationship of composition of two or more functions with chain rule
·
accurately apply
the logical understanding of the inverse function to find the derivatives of
the inverse trig functions
·
apply chain rule
to understand implicit differentiation
·
understand
logical reasoning behind local linearity
·
understand
logical reasoning behind the concept of first and second derivative tests
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;
·
accurately model situations using related rates and solve the
resulting equations using implicit differentiation and/or the chain rule.
·
accurately model
situations involving optimization, identify the constraints, and find the
optimal value of the relevant variable
·
accurately graphs
involving optimization of real-world problems
·
accurately apply
the theory of optimization to marginality
·
find total value
of a relevant function knowing its rate of change
c. organize data, communicate the essential
features of the data, and interpret the data in a meaningful way;
·
accurately sketch
a graph using data
·
accurately
interpret the behavior of a function representing a physical phenomenon using
the given data set
·
use data to find
average and instantaneous rate of change of a function and/or the rate of
increasing or decreasing of a function
·
use data to find
the limiting value of a function
·
use data to find
upper and lower estimates for a certain quantity for e.g. given a data relating
speed (mph) and corresponding fuel efficiency (mpg) find the lower and upper
estimates of the quantity of fuel used
d. do a critical analysis of scientific and
other research;
·
do assigned projects or group work which requires
mathematical research and investigations using course topics.
e. extract correct information from tables
and common graphical displays, such as line graphs, scatter plots, histograms,
and frequency tables;
·
given the graph
of a rational function or a polynomial, f(x),
determine a reasonable form for its algebraic expression
·
given a graph,
what does the concavity of the graph says about the growth of the function
·
given the graph of position, s(t), of an object in directed linear motion, correctly the
intervals for t over which the object
is moving right/left, accelerating/decelerating, speeding up/slowing down, and
any combination of these.
·
given a graph of
a function find the total change
·
given the graph
of the velocity, v(t), of an object
in directed linear motion, correctly the intervals for t over which the object is moving right/left,
accelerating/decelerating, speeding up/slowing down, and any combination of
these, when possible.
·
given the graph of a function, f(x), correctly sketch the graph of its derivative, labeling the
critical points and points of inflection for f(x) and determining the corresponding points on the derivative.
·
given the graph of the derivative of a function, sketch the
original function.
f. use
appropriate technology to describe and solve quantitative problems.
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.