MATH 160-04 Calculus I
Syllabus for Spring 2008

Mon, Tues, Thurs, & Fri, 2:00 – 2:50pm

237 Pasteur Hall

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

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: 203L Stark Hall

Winona Email Username: eerrthum             Office Phone: 474-5775

Office Hours:  See schedule on my home page.

Grading:    Homework (scaled as needed)                     165 points----- 18.33%
                    Quizzes (10 @ 15 points, drop lowest)       135 points------ 15.00%
                    Midterms (4 @ 100 points)                          400 points------ 44.45%
                    Final                                                             200 points------ 22.22%
                                                                                     --------
                                                                                         900 points total

Grades:  A = 90% (810 pts), B = 80% (720 pts), C = 70% (630 pts), D = 60% (540 pts)

Homework:    Homework will be assigned daily and will be due approximately one week after it is assigned. Questions on the quizzes and exams will be based on assigned homework. All homework is to be done via the WebAssign website. You will have to purchase an access card at the WSU bookstore to complete the assignments. Your user name is your WSU email username and the institution is “winona”. The first time you login your password is your 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 WebAssign or doing any of the homework assignments, please contact the instructor. Some good WebAssign Tips can be found below.

Quizzes:    We will have a short (approx. 15-minute) quiz each Thursday. Each quiz will count for 15 points and the lowest quiz will be dropped from your grade. Quiz problems will be loosely based on the homework and the “Additional Quiz Preparation” questions listed in the homework instructions.

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 tentatively scheduled for Tuesday, April 29, 1:00pm – 3:00pm.

Extra Credit: Periodically extra credit assignments may be given. Points earned through extra credit go only toward homework points and only a maximum of 165 points total will be given for homework.

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.

Desire2Learn:            Many course materials can be found on D2L including solutions to quizzes and exams, the Discussion boards and approximate grades.

Technology:   Some of the in-class demonstrations require Mathematica, which is available on the WSU laptops. If you’d like to view them on your own laptop and need help installing Mathematica, see either the instructor or tech support.

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

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 Beginning

Monday

Tuesday

Thursday

Friday

1/14

Introductions and Review

1.1, 1.2, 1.3

Representing Functions

Essential Functions

New Functions from Old

1.4, 1.5

Graphing
Exponential Functions

1.6

Inverse Functions and Logarithms

2.1

The Tangent and Velocity Problems

Mathematica Demo 2.1

Extra Credit: (pg 81) #4, 10, 12, 18

Due in class Jan 24

Quiz (Chapter 1)

2.1, cont.

2.2

Limit of a Function

1/21

NO CLASS

2.2, cont.

Quiz (2.1 & 2.2)

2.3

Calculating Limits using Limit Laws

2.3, cont.

2.4

The Precise Definition of Limits

1/28

2.4, cont

2.4, cont.

2.5

Continuity

Quiz (2.3 - 2.4)

2.5, cont.

2.6

Limits at Infinity

2/4

2.7

Derivatives and Rates of Change

2.8

The Derivative as a Function

Quiz (2.5 – 2.7)

2.8, cont.

Extra Office Hours:

9am – 2pm
Review

2/11

NO OFFICE HOURS

EXAM I

NO OFFICE HOURS
NO CLASS

3.1

Derivatives of Polynomials and Exponential Functions

3.2

Product and Quotient Rules

2/18

3.3
Derivatives of Trig Functions

3.4

Chain Rule

Quiz (3.1-3.3)

3.4, cont.

3.5

Implicit Differentiation

2/25

3.6

Derivatives of Log Functions

3.7

Rates of Change in the Natural and Social Sciences

Quiz (3.4-3.7)

3.8

Exponential Growth and Decay

3.9

Related Rates

3/3

SPRING BREAK

3/10

3.10

Linear Approximations and Differentials

Review

Suggested Problems (pg 262):

1-32, 35-42, 51-53, 57-59, 65, 66, 69-81, 87-89, 97-100, 103, 106-108

Extra Credit: (pg 266) #6, 8, 14, 16, 20, 30
Due in class Mar 18

EXAM II

4.1

Maximum and Minimum Values

3/17

4.2

Mean Value Theorem

4.3

The Derivative’s Effect on the Graph

Quiz (4.1 – 4.3)

4.4

Indeterminate Forms and L’Hospital’s Rule

4.4, cont.

3/24

4.5 & 4.6

Summary of Curve Sketching

4.7

Optimization Problems

Quiz (4.3-4.7)

4.8

Newton’s Method

4.8, cont.

3/31

4.9

Antiderivatives

Review
Suggested Problems (pg 348):

1-13, 15-25, 32, 33, 35, 46, 48, 50, 52-54, 61-62, 65-74, 77

Extra Credit: (pg 352) #1, 2, 3, 6, 10, 18,
Due in class Apr 8

EXAM III

NO CLASS

4/7

5.1

Areas and Distances

Riemann Sums Module

5.1, cont.

5.2

The Definite Integral

Quiz (5.1 – 5.2)

5.3

Fundamental Theorem of Calculus

NO CLASS

4/14

5.3, cont.
5.4

Indefinite Integrals
Net Change Theorem

5.5

Substitution

Quiz (5.2-5.4)
5.5, cont.

6.1

Area between curves

4/21

6.5
Average Value

Review

EXAM IV

NO CLASS

Final Review
Sunday, April 27
3:00-4:00pm

 

Final Exam

Tuesday, April 29

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!

WebAssign Tips

 

#1: Use the Mozilla Firefox browser. The flash applications in WebAssign cause Microsoft Internet Explorer to lock up, thus losing all of your work from that session. If you need help installing Firefox, click here or contact the instructor.

 

#2: Do not try to sit down at a computer and just do your homework on Webassign. 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 WebAssign. This way you will have a good paper record to study from, to examine for errors if WebAssign marks something incorrect, and to show to a tutor or the instructor when getting help.

 

#3: Don’t use any method on WebAssign that won’t work on an exam. For example, if you’re not allowed to use a calculator on an exam to calculate a limit, do not use one on the homework. 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, go back and look at the solutions for the problems you missed. Often there will be a link to a pdf file with 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.

 

 

 

 

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):

 

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