OAKLAND UNIVERSITY

DEPARTMENT OF MATHEMATICS AND STATISTICS

STUDENT INFORMATION SHEET AND SYLLABUS

 

 

 

COURSE:      

MTH 122

Calculus for the Social Sciences, 
4 Credits

SEMESTER: 

Spring, 2004                        



INSTRUCTOR:

M. Shillor

 

 

 

Office:  554 SEB

Tel:  248-370-3439

CLASS:          

TuTh    6:30-9:50 PM

164 SEB

 

Email:

shillor@oaklan.edu

 

Web:

http://personalwebs.oakland.edu/~shillor

 

 

Attendance at every class is expected, and highly recommended.

OFFICE HOURS:  Tuesday and Thursday 4:30 - 6:00 PM

PREREQUISITES:

A 2.0 or better in MTH 121 or MTH 141, an equivalent course at another school or placement. Prerequisites are strictly enforced:  if you do not meet The prerequisite, you will not be permitted to remain in the course.  In order to do well in this course, you need to have skills in intermediate algebra and analytic geometry, and be familiar with elementary functions.  Students are sometimes unaware, until after they have taken a college mathematics course, how much more emphasis is placed in college courses on understanding and applying concepts, as opposed to learning to perform routine computations. Indeed, understanding of mathematical concepts and their applications are the central issues of college level work.  Students who have not been in such courses often underestimate the amount of time and hard work needed to succeed.

Course Objectives:

The successful student in this class should develop an understanding of the basic concepts of limits, continuity, differentiation, and integration, study some applications of differential and integral calculus to curve sketching, determining optimum values of a function (e.g., maximizing profits) area of a region, etc., and develop an understanding of the concepts of mathematical reasoning and appropriate (algebraic and analytical) problem solving skills.

 

CONDUCT: 

Success in this course requires an atmosphere conducive to learning.  As a courtesy to your fellow students and instructor, please come to class on time and refrain from extraneous conversation during class.  All electronic communication devices such as portable stereos, walkmans, pagers, beepers, phones, etc. must be turned off prior to entering the classroom.  If circumstances make it necessary for you to leave early, please notify the instructor in advance and sit near the door.  Otherwise, come prepared to stay for the entire class. 

 

TEXT:  

Introductory Mathematical Analysis, 10th Edition, by Haeussler & Paul, published By Prentice Hall.  The material to be covered is contained in chapters 11-17, 19 (see Detailed syllabus below).  You are expected to purchase a copy of this textbook.  A student solutions manual, containing worked-out solutions to many of the exercises, is available at the book-enter, but its purchase is totally optional (homework will be assigned from both those exercises that have answers in the back of the text and/or solutions in the manual and those that do not). In addition, a copy of the textbook, student solutions manual, alternative textbooks, and other material will be available on 2-hour reserve at Kresge Library.

 

CALCULATOR POLICY: 

For this course you will need a calculator with exponential and logarithmic functions.  You may use the calculator on all tests, quizzes, and homework assignments, and it is important to learn to use it effectively.  In particular, know how to do complex calculations without writing down intermediate answers, and be aware of how many digits of accuracy you can expect an answer to have.  To receive full credit on tests, be sure to show all the mathematical work necessary for setting up a calculation before using the calculator. Try to use your calculator imaginatively, too; for example, calculators often provide you with ways to verify an answer (e.g. by graphing with a graphing calculator, or plugging in particular values of variables). Using a calculator to store formulas you need for a test is not permitted.

 

COMPUTER USAGE: 

Computer laboratories are not a formal part of this course.  However, there are some excellent ïcomputer algebraÍ packages available on main-frame and micro-computers; this software is capable of performing many of the calculations that one does in a course such as this (e.g., solving algebraic equations, simplifying complicated algebraic expressions, differentiating, integrating, and drawing graphs).  Interested students should talk to me about getting access to such systems and experiment with them.

TESTS: 

There will be 3 class tests (worth 100 points each) scheduled for:

Exam 1: May 13

Exam 2: May 27

Exam 3: June 10

These tests and the final examination (see below) are closed book tests. Each of the three tests will last 60 minutes, at the beginning of the class. Then we will continue with the material.

 

QUIZZES AND HOMEWORK:  Homework will be assigned regularly and collected on Thursdays.  There will be no quizzes, and the total homework score will be 120 points.

 

FINAL EXAM:  THE FINAL EXAMINATION IS COMPREHENSIVE.  It will be given on Tuesday, June 22, 6:30-9:30 PM.  It is worth 200 points.  The room for the final exam is The same as the class.

 

EMERGENCY CLOSING:  If the University is closed at the time of a scheduled test, or examination (for example, because of snow), it will be given during the next class period when the University reopens.  The Oakland University emergency closing number is 370-2000.

 

GRADING POLICY:  Your course grade will be based upon the percentage of total points you have earned out of all the points available to you -- 620.  There is no fixed grading scale for this course; a conversion formula from your percentage score to Oakland University grades will be determined at the end of the course.  However, the following list shows the lowest possible grade that a given percentage score will earn (the grade may be higher than this):  95%-->4.0,  80%-->3.0,  65%-->2.0,  50%-->1.0.  After each test, an indication of class performance on that test and an approximate grade conversion for that test will be announced.

 

MAKE-UP POLICY:  No make-up tests will be given.  If you miss a test and have a valid excuse, your grade for the missed test will be determined from the portion of the final exam corresponding to the missed material; otherwise the missed test will be counted as 0.

 

ACADEMIC HONESTY:  Cheating is a serious academic crime.  Oakland University policy requires that all suspected instances of cheating be reported to the Academic Conduct Committee for adjudication.  Anyone found guilty of cheating in this course will receive a course grade of 0.0, in addition to any penalty assigned by the Academic Conduct Committee.  Working with others on a homework assignment does not constitute cheating; handing in an assignment that has essentially been copied from someone else does. Receiving help from someone else or from unauthorized written material during a test or The final exam is cheating, as is using a calculator as an electronic ïcrib sheet.Í

 

STUDY HABITS:  Cultivating good work and study habits is necessary for doing well in mathematical sciences courses.  You should keep on top of the subject by doing large amounts of homework (frequently working on problems not assigned), regularly reviewing earlier material, asking questions in class, and making good use of your instructor's office hours and the Academic Skills Center.  If you are having difficulty with some concept or mathematical procedure, you should get it clarified as soon as possible.  If you make mistakes on tests or rework these problems with the idea that you will not make similar mistakes later. Regular reviewing of older material in the course will put you in good stead when it comes to final exam time.  This will help you to avoid the usual non-retention problems, students encounter at the end of the course.  You should expect that doing all of these things will take at least two hours outside of class for each hour in class.  Many students find it helpful to spend some of this time working with others, in study groups.

 

DROPPING THE COURSE:  The Department of Mathematics and Statistics is committed to achieving the goal of academically sound freshman and sophomore mathematical sciences curriculum in which most conscientious Oakland University students can expect to be successful.  If you are considering dropping the course and wish to discuss the matter further, you are encouraged to contact your instructor.

 

Discussion board and chat room: You may communicate with the instructor, other students and find useful information by using the discussion board, where you can also leave questions. Go to 

 

http://www.otus.oakland.edu/ou/index.cfm

 

and click on MTH 122.

 

INTENDED SCHEDULE AND SYLLABUS

 

Questions followed by ! are to be collected each Thursday; those with * are a bit harder.

 

Week of

Sections

Topics; HomeWork

 

May 3

11.1, 11.2, 11.4, 11.5, 12.1

Functions, Limits, continuity   Derivatives

 

HM 11.1: 

1-4, 7, 10, 13, 16!, 19!, 22!, 25!, 26!, 28, 33, 34, 35*, 36*, 37*, 40*, 45*, 52

 

HM 11.2: 

1, 2, 3-45 all the odd ones, 46, 48, 52, 54!, 57, 58!, 59,61,63*, 64*, 68

 

HM 11.4:

3,5,7,9,11,15, 16!, 19, 20!, 23, 25, 26, 31, 32!, 35!, 36*

 

HM 11.5: 

1, 3, 5, 12!, 15, 18!, 19, 26!, 27*, 28*

 

HM 12.1: 

1, 3, 4!, 5, 6!, 7, 9, 10!, 11, 13, 14!, 15, 17, 19, 21, 23, 24!, 25, 26!, 27, 28!, 29*

May 10

12.2, 12.3, Review,
Exam 1, 12.5, 12.6

Rates of change, Differentiation Formulas, The Chain Rule

 

HW 12.2: 

1, 5, 9, 10, 11, 12!, 18, 21, 24!, 27, 30, 33, 36!, 39, 42, 45, 48, 51, 54!, 57, 60, 63, 66!, 69, 72!, 76, 81, 82, 83, 85, 88, 90*

 

HM 12.3: 

3, 4!, 5-10, 11!, 12!, 13, 14!, 15, 19, 21, 23, 25, 27, 29, 30!, 31, 32!, 33, 34!

 

HW 12.5:

1 -19 all odd, 18!, 20!, 51, 53, 57, 63, 64!, 70!, 71, 72!, 73, 75, 76!

 

HW 12.6:

1, 3, 5, 7, 30!, 31, 34, 35, 38, 39, 41, 42!, 69, 70!, 71, 72! 73, 74!, 75, 76!, 77, 78!

 

The Sections for the exam:

11.1, 11.2, 11.4, 11.5, 12.1-3.

 

The solutions are in PDF:

http://www.oakland.edu/~shillor/MTH122-ex1ASoln-S04.pdf

 

http://www.oakland.edu/~shillor/MTH122-ex1BSoln-S04.pdf

 

 

The median=

Highest mark=

Lowest mark=

80 (out of 100, with 51 students).

100

20 

 

If your mark is below 65 or above 90 you have to come and see me in my office hours.

May 17

13.1, 13.2, 13.5, 14.1, 14.2

Log and exponential functions, Higher Derivatives, Relative and Absolute Extrema

 

HW 13.1:

1, 4, 7, 10, 13, 19, 20!, 22, 25, 26!, 29, 32, 35, 38!, 41, 44!, 48*, 49*, 52*, 53*    

 

HW 13.2:

1-27 all odd, 18!, 26!, 41!, 42!, 45*, 46*, 47*, 48*, 49* 

 

HW 13.5: 

1-13, all odd, 17!, 18!, 20!, 26!

 

HW 14.1:

9-21, 44!, 45, 46!, 47, 48!, 49, 50!, 51, 52!, 65!, 66!, 67-71

 

HW 14.2:

1-11, all odd, 15*

May 24

14.3, 14.4 Review,
Exam 2,  14.5, 15.1

Monotonicity, Concavity, Graphing, Applied Optimization

 

HW 14.3:

5, 7, 13, 16, 24!, 41, 67!

 

HW 14.4:

1-11 all odd

 

The Sections for the exam:

12.5, 12.6, 13.1, 13.2, 13.5, 14.1-4.

 

The solutions are in PDF:

http://www.oakland.edu/~shillor/MTH122-ex2ASoln-S04.pdf

http://www.oakland.edu/~shillor/MTH122-ex2BSoln-S04.pdf

 

The median=

Highest mark=

Lowest mark=

76 (out of 100, with 49 students).

98

15

 

If your mark is below 65 or above 90 you have to come and see me in my office hours.

 

HW 14.5:

1, 5, 9, 11, 13, 15, 25, 28!,29, 32!, 33, 36!,37, 40!, 41, 44!, 45, 48!, 49!, 51*, 52*, 53*

 

HW 15.1: 

3-24, all the even ones are for grading.

 

 

These are the word problems, and I would like to encourage you to do as many as you can, or at least read all of them.

May 31

16.1, 16.2, 16.3, 16.4, 16.5,

Integration, Integration Techniques

 

HW 16.1:

1-5, 7, 9, 11, 16!, 17, 21, 22!, 27, 32!, 35, 42!, 45, 51*, 52*,53*, 54*

 

HW 16.2:

1-11 all odd, 14!, 17!, 22*

 

HW 16.3:

1-3, 7, 11, 18, 19 22!, 32, 33, 34!, 44!, 49!, 53, 54, 67!, 75-77, 78

 

HW 16.4:

1,3, 4!, 5, 6!, 10!, 13, 19, 20, 31, 55!, 64*, 65*, 67*

June 7

16.5, 16.6, 16.7, Review, Test 3, 16.8, 17.6,

Fundamental Theorem of Calculus, Area, Differential Equations

 

HW 16.5:

1-5, 10!,

 

HW 16.7

1-30,, 46!, 48!, 51!, 54!, 55*, 57*, 58*, 59*, 61*, 63*

 

HW 16.8

1-9 (odd), 12!, 22!, 24!, 26!

 

HW 17.6:

1, 3, 4!, 5, 9!,10!, 14!, 17, 24!, 27!, 28!, 29!, 30!, 35!

 

 

This section deals with a very important concept, that of the differential equation, which is used in the modeling of various rate processes.

 

The Sections for the exam:

14.5, 15.1,16.1-7

 

The solutions are in PDF:

MTH122-EX3A-Solutions.pdf

MTH122-EX3B-Solutions.pdf

 

The median=

Highest mark=

Lowest mark=

 70 (out of 100, with 45 students).

102

 40

 

If your mark is.

below 65 or above 90 you have to come and see me in my office hours

June 14

19.1, 19.2, 19.3,19.5, 19.7, Review

Functions of several variables, Partial Derivatives, Applications Optimization

 

HW 19.1

1, 3, 5, 7, 15, 16, 17, 18, 23, 26, 27

 

HW 19.2

1-10, 22, 23, 24, 25, 26, 28, 35*, 36*, 37*

 

HW 19.3:

1, 3, 4, 10, 13, 17*, 18

 

HW 19.5

1-9, 12, 14, 16, 21

 

HW 19.7

1-19 (odd), 14, 20, 21, 22, 23, 24, 26, 29*, 36

June 22

Final Exam

Tuesday,  June 22,  6:30-9:30 PM

 

Sections for the Final Exam:

 

11.1, 11.2, 11.4, 12.1-3, 12.5, 12.6, 13.1, 13.2, 13.5, 14.1-5, 15.1, 16.1-8, 17.6, 19.1-3, 19.5, 19.7

 

Topics for the Final Exam:

Limits, continuity,

 

 

Derivatives, slopes, rates of change, rules of differentiation

 

 

Derivatives of the exp and log functions, higher derivatives

 

 

Relative and absolute minima and maxima, concavity

 

 

The second derivative test, asymptotes

 

 

Applied maxima and minima

 

 

Indefinite and definite integrals, substitutions (u), area

 

 

Simple differential equations

 

 

Functions of several variables, partial derivatives,

 

 

Maxima and minima of functions of two variables

 

 

 

 

 

 

 

The Final Exam:

There are 12 questions, you have to answer 10; choose 7 out of questions 1-9, then 10, 11 and 12 are obligatory; 200 points.

Some advice:

 Make sure you sleep well the night before;

 

Proceed in each chapter backwards, the important and more difficult material is in the latter sections - if you master it you have covered the beginning sections anyway;

 

At the beginning of the exam read all the questions, and ONLY then start answering the easy once first- get all the easy points first!

 

If you get stuck on a question it means that you are trying to remember how to do it - instead read it carefully, you may be able to it without remembering much. But if it doesnÍt work, MOVE to the next question - do not waste time and effort on it;

 

Read carefully the whole of the exam BUT make sure that when

you correct a problem you are NOT ruining a good answer, so

change an answer only if you are absolutely sure that it is

Incorrect.

 

The Final Exam: A practice final exam in PDF format:
http://www.oakland.edu/~shillor/MTH122-Final-A-Soln-F03.pdf

 

The median on the final was 70%, with 45 students.

 

IMPORTANT DATES:

 

May 7

Last day for no record drops

June 7

Last day for official withdrawal (W grade)

June 19

Last day of classes

June 22

Final Examination (Tuesday, 6:30-9:30 PM)

 

 

I WISH YOU WELL IN ALL YOUR ENDEVORS AND VERY HAPPY VACATION!