Math 140 - Short Course in Calculus

MATH 140 - SHORT COURSE IN CALCULUS

SECTION 1

COURSE SYLLABUS

Semester: Spring, 2009

Lecture Meeting Time: MTWF 8:00-8:50AM

Location:AG 168

Instructor: Kursad Tosun

Office Phne: 618) 453 6576

E-mail:

Office Hours: Tuesday 9:00-11:00

Wednesday & Friday 12:00-12:50 in Neckers A262 or by appointment.

Webpage:

Required Text: Applied Calculus for the Managerial, Life and Social Sciences: A Brief Approach, by Tan, 8th ed., ISBN:0495387541 $163.50

I understand that new textbooks are awfully expensive now. Earlier (thus cheaper) editions of the book are available and you may use those at your own risk. Most of the material is unchanged from one edition to the next so it is reasonable to use an old edition. However, I won’t make any attempt to figure out what parts are new to the current edition or to translate “chapters & sections” from one edition to the other for you.

Some Important Dates:

Friday, January 23Last day to drop a course to be eligible for a credit/refund

Monday, February 9Exam 1

Monday, March 16Last day to drop a course

Friday, March 20Exam 2

Monday, April 13Exam 3

Wednesday, April 29Exam 4

Preparing for Exams:Most of the problems on the exams will test your computational skills and understanding of the concepts. It is not enough to watch your instructor do problems in class and think you understand the process. You need the hands-on experience of doing the problems yourself.

Help Outside the Classroom: There are several ways to seek help when you are not in class. You may visit your instructor during the office hours. You may stop by the Math Help Desk, Neckers Hall 2nd floor, where you may receive free tutoring from undergraduate and graduate math majors. Hours of operation will be announced in class.

Calculator: Only approved scientific calculators (TI-30) will be permitted on the exams; however, calculators with graphic, word-processing, symbolic manipulation or programming capabilities will not be allowed for the exams.

Incomplete Grade: The grade INC can only be assigned to students who are passing the course and for reasons beyond their control cannot complete all class assignment (see page 47 of the 2008-2009 Undergraduate Catalog).

Make-up Exam: Students who have a valid reason for missing any of the midterm exams will be given a make-up exam.

Grading Policy

Exams: There will be four exams given in class during the term as well as a two-hourfinal exam during the assigned time in final exam week. The final examination will be at a time to be announced in the university schedule and it will be a common with the other Math 140 sections. You can download the previous final exams from

Homework: Doing exercises is an important component to learning. Homework will be collected and graded by the instructor.

FourExams (100 points each) / 400 points
Comprehensive Final Exam / 250 points
Ten Homework(10 points each) / 100 points
TOTAL / 750 points

Grading Scale:

675-750 / A / (90%)
600-674 / B / (80%)
525-599 / C / (70%)
450-524 / D / (60%)
0-449 / F

Course Objectives: To provide a formulation in calculus for students in Business, Economics and Social Sciences. The theory behind the derivative and the definite integral will be discussed however the course emphasizes techniques rather than theory. Trigonometric functions are not included but polynomial, rational, radical, exponential and logarithmic functions are covered.

Upon completion of the course, the student should be able to:

• Find one or two-sided limits of a function f(x) as x approaches a real number, a, evaluate limits at infinity and infinite limits.
• Interpret continuity and limits in a graphical context.
• Interpret the derivative as the slope of a tangent line.
• Find derivatives of algebraic, logarithmic and exponential functions. Demonstrate knowledge of the sum, difference, product, quotient and chain rules for derivatives.
• Find and equation of the tangent line to the graph of a function at a given point.
• Find higher order derivatives for a given function.
• Apply derivatives to solve “real-life” problems, especially in a business context.
• Recognize and interpret the relationship among f,f’ and f’’ in a graphical context. Be able to sketch the graph of a function.
• Determine revenue, marginal revenue, cost, marginal cost (etc.) using appropriate calculus techniques.
• Find integral of polynomial, rational, logarithmic and exponential functions.
• Evaluate definite integrals.
• Find partial derivatives.
• Locate critical points of a function of two variables. Identify relative m and saddle points for a function of two variables.
• Apply the method of Lagrange multipliers to maximize or minimize a function of two variables subject to certain constrains.

Social Justice: Southern IllinoisUniversity is committed to social justice. I concur with that commitment and expect to foster a learning environment based on open communication, mutual respect and nondiscrimination. Our University does not discriminate on the basis of race, sex, age, disability, veteran status, religion, sexual orientation, color or national origin and neither do I.

Disability: If you are a person with a disability and anticipate needing any type of accommodation in order to participate in this class, please advise me and make appropriate arrangements with Disability Support Services (DSS) at (618) 453-5738, or visit Woody Hall B-150 so that we might overcome them.

Student Conduct Code & Academic Dishonesty: Please note that I try to follow university guidelines, SIUC Student Conduct Code, with respect to these matters.Pleasecheck Acts of academic dishonesty include, but is not limited to: 1. Plagiarism, representing the work of another as one’s own work; 2. Preparing work for another that is to be used as that person’s own work; 3. Cheating by any method or means; 4. Knowingly and willfully falsifying or manufacturing scientific or educational data and representing the same to be the result of scientific or scholarly experiment or research; 5. Knowingly furnishing false information to a university official relative to academic matters; 6. Soliciting, aiding, abetting, concealing, or attempting acts of academic dishonesty. These activities will not be tolerated.

Emergency Procedures: Southern Illinois University Carbondale is committed to providing a safe and healthy environment for study and work. Because some health and safety circumstances are beyond our control, we ask that you become familiar with the SIUC Emergency Response Plan and Building Emergency Response Team (BERT) program. Emergency response information is available on posters in buildings on campus, available on the BERT'S website at , Department of Public Safety's website (disaster drop down) and in the Emergency Response Guidelines pamphlet. Know how to respond to each type of emergency.

Instructors will provide guidance and direction to students in the classroom in the event of an emergency affecting your location. It is important that you follow these instructions and stay with your instructor during an evacuation or sheltering emergency. The Building Emergency Response Team will provide assistance to your instructor in evacuating the building or sheltering within the facility.

COURSE CHART

Week / Date / Section Covered and Comments
1 / January 12-16, 2009 / 1.1.Precalculus Review I
1.2.Precalculus Review II
1.3.The Cartesian Coordinate System
1.4.Straight Lines
2 / January 19-23, 2009
(Jan.19, Monday
Martin Luther King,
Jr.'s Birthday Holiday) / 2.1. Functions and Their Graphs
2.2. The Algebra of Functions
2.3. Functions & Mathematical Models
3 / February 2-6, 2009 / 2.4. Limits
2.5. One-Sided Limit and Continuity
4 / February 9-13, 2009 / EXAM 1; Feb. 9, Monday
2.6. The Derivatives
3.1. Basic Rules of Differentiation
5 / February 16-20, 2009 / 3.2. The Product and the Quotient Rules
3.3. The Chain Rule
3.4. Marginal Functions in Economics (omit elasticity of demand)
6 / February 23-27, 2009 / 3.5. Higher Order Derivatives
4.1. Applications of the 1st Order Derivative
4.2. Applications of the 2nd Order Derivative
7 / March 2-6, 2009 / 4.3. Curve Sketching
4.4. Optimization I
4.5. Optimization II
8 / March 9-13, 2009 / SPRING VACATION
9 / March 16-20, 2009 / 5.1. Exponential Functions
5.2. Logarithmic Functions
5.3. Compound Interest
EXAM 2; March 20, Friday
10 / March 23-27, 2009 / 5.4. Differentiation of Exponential Functions
5.5. Differentiation of Logarithmic Functions
6.1. Antiderivative & the Rules of Integration
11 / Mar. 30-Apr. 3, 2009 / 6.2. Integration by Substitution
6.3. Area and the Definite Integrals
12 / April 6-10, 2009 / 6.4. The Fundamental Theorem of Calculus
6.5. Evaluating Definite Integrals
6.6. Area Between Two Curves
13 / April 13-17, 2009 / EXAM 3; April 13, Monday
7.1. Integration by Parts
8.1. Functions of Several variables
8.2. Partial Derivatives (omit substitute and complementary commodities)
14 / April 20-24, 2009 / 8.3. Maxima and Minima of the Functions of Several Variables
8.5. Constrained Maxima and Minima; Lagrange Multiplier
15 / April 27-May 1, 2009 / EXAM 4; April 29, Wednesday

Math 140 Homework and Suggested Problems

Week / Due Date / Homework Problems / Suggested Problems
HW 1 / Jan.26
Monday / § 1.1. 78,110
§ 1.2. 8,18
§ 1.3. 24
§ 1.4. 24,46 / 7,33,41,42,53,63,77,93,95,97,111,119,127,133
1,5,7,13,15,41,43,45,51,63
1-12, 21,29,33
1-10, 11,13,25,27,31,41,45,50,51,53,67
HW 2 / Jan. 30
Friday / § 2.1. 12,48
§ 2.2. 22,28,34
§ 2.3. ---- / 2,11,13,15,17,19,23,25,29,31,37,47,49
19, 23,27,31, 43, 47
6,9,11,13,15
HW 3 / Feb. 5
Thursday / § 2.4. 12,18,50,60
§ 2.5. 15-20,44 / 1,3,5,9,11,17, 23,27,33,39,57,59,61,63,69,73,77,79
1-14, 21,25,27,33,35,37,39,41,43,45,47,49,51,57,59
HW 4 / Feb. 20 / § 2.6. 12,22
§ 3.1. 4,42,44 / 11,15,17,23
1,3,7,11,13,15,19,25,29,31,33,41,43
HW 5 / Feb. 27 / § 3.2. 12,22,46
§ 3.3. 36,50
§ 3.4. 14 / 1,3,11,13,17,21,23,29,35,39,41,49
1,5,13,15,17,23,29,33,35,41,49
3,5,7,9,11,13
HW 6 / March 6 / § 3.5. 8,16
§ 4.1. 6,26,42
§ 4.2. 4,28,62 / 5,7,13,15,19
1,3,5,7,11,13,15,19,37,39,41,43
1,5,23,27,31,35,37,45,47,59,63
HW 7 / March 20 / § 4.3. 28,34,42
§ 4.4. 22,48
§ 4.5. 4,6 / 1,3,5,7,15,17,19,23,25,33,35,39,45,49,51,57
9,15,17,19,21,23,27,31,35,45,47
3,7,19,20,
HW8 / April 3 / § 5.1. 24
§ 5.2. 24,42
§ 5.3. ----
§ 5.4. 34,36,46
§ 5.5. 20,54
§ 6.1. 44,70 / 19,23,25
17,21,25,35,39
11,17,21,29
15,19,23,25,27
11,15,17,23,29,55,57,63
1,9,11,13,15,17,19,29,35,37,39,511,53,67,69
HW9 / April 10 / § 6.2. 10,12,24,36,38,42 / 3,5,7,11,13,19,23,25,27,29,35,37,39,41,43
HW 10 / April 24 / § 6.4. 38,42
§ 6.5. 28
§ 6.6. 4,20,36
§ 7.1. 2,16,30
§ 8.1. ----
§ 8.2. 18,32,38 / 5,11,17,27,29,31,37,41,43
5,7,17,19,23,25
1,3,5,13,17,19,25,35,39
1,7,11,13,19,23,27,31
1,9
3,5,7,13,15,17,19,25,31,35,37,41
§ 8.3.
§ 8.5. / 3,5,7,11,13,15,17,19
3,5,7,9,11

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