|Mathematics-I|

Department of Economics and  Business Administration

Mathematics I

Fall 2014

Thursday 10:00am-12:50pm,

Instructor:
Prof.Dr. Ismail Kombe
Office:
Faculty of Science and Letters, A407
Phone/E-mail:
Office phone : 4636, E-mail: ikombe40 [at] gmail.com
Office Hours: TH 12:30PM-2:00 PM. Additional times available by appointment
Text:
Applied  Calculus  for the Life and Social Sciences by Ron Larson
Course webpage:
ww3.ticaret.edu.tr/ikombe
Homework:
Keeping up with the homework assignments is essential to learning Calculus. No one is able to learn mathematics without working problems. You should expect to spend 10-15 hours a week working homework problems, reading the text, and going over your class notes. I urge you to work together in groups. See the instructor as soon as you find out that you are having difficulty with the homework. Homework will not be graded.
Course Objective:

To help you develop a solid understanding of what calculus is, and to equip you to use calculus effectively in subsequent courses and in your career. At the conclusion of this course you should:

  • understand the fundamental concepts of calculus (functions, limits, derivatives, integrals, and transcendental functions)
  • be able to apply the methods of calculus to solve real problems
Attendance:

Attendance is crucial for doing well in the course. Experience indicates that the students who do not attend the class regularly fail miserably. It is strongly recommended that you do not miss any class.

Help:
See the instructor as soon as you find out that you are having difficulty with the homework.
Practise Problems and Sample Tests:

There will be one midterm test and a final exam. The final exam is a two-hour common comprehensive exam and there will be bi-weekly quizzes based on material covered in class. The quizzes will be 10-15 minutes long.

2015Fall Midterm Test

Practice Problem Set I Questions, Sample Test1-1, Sample Test1-2, Sample Test1-3

 Sample Final Exam

Grading:

Your final grade will be calculated as follows: 40%(Test Average) +20%(Web Work)+ 40%(Final Exam Score).

Philosophy:
Give someone a fish he eats for a day ! Teach someone to fish he eats every day for the rest of his life !!!
Calculus :
www.okcu.edu/~ikombe/teaching.html
WHAT IS EXPECTED OF YOU
WHAT IS EXPECTED OF YOU

From “Teaching at the University Level” by Stephen Zucker, Notices Amer. Math. Soc. 43(1996), p.863

1. You are no longer in high school. The great majority of you, not having done so already, will have to discard high school notions of teaching and learning and replace them by university-level notions. This may be difficult, but it must happen sooner or later, so sooner is better. Our goal is more than just getting you to reproduce what was told you in the classroom.

2. Expect to have material covered at two to three times the pace of high school. Above that, we aim for greater command of the material, especially the ability to apply what you have learned to new situations (when relevant).

3. Lecture time is at a premium, so it must be used efficiently. You cannot be “taught” everything in the classroom. It is YOUR responsibility to learn the material. Most of this learning must take place outside the classroom. You should be willing to put in two hours outside the classroom for each hour of class.

4. The instructor’s job is primarily to provide a framework, with some of the particulars, to guide you in doing your learning of the concepts and methods that comprise the material of the course. It is not to “program” you with isolated facts and problem types nor to monitor your progress.

5. You are expected to read the textbook for comprehension. It gives the detailed account of the material of the course. It also contains many examples of problems worked out, and these should be used to supplement those you see in the lecture. The textbook is not a novel, so the reading must often be slow-going and careful. However, there is the clear advantage that you can read it at your own pace. Use pencil and paper to work through the material and to fill in omitted steps.


6. (My additon) I want you to enjoy this class, but please respect my right to teach and your classmates’ rights to learn. I would like you to refrain from disruptive behavior (such as unnecessary talking), as well as from reading newspapers and other non-class materials during class. Also, please keep your cell phones turned off during class!!

TOPICS TO BE COVERED
HOMEWORK PROBLEMS
Functions and Models
1.1: 1, 5, 7, 8, 28,32, 42, 1.2: 2 1.3: 6, 16, 18, 31, 38, 43, 66, 1.6: 4, 5, 7, 16, 18, 26, 50
Limits, Calculating limits
2.2: 2, 3, 5, 8, 12, 13, 16, 2.3: 2, 6, 10, 11, 13, 22, 26, 30, 42, 46, 61
Precise definition continuity 2.4: 19, 28, 36, 2.5: 3, 13, 19, 32, 37, 42, 46, 52 a, 55, 56, 2.6: 14, 20, 27, 28,
Limit at infinity
2.6: 14, 20, 27, 28, 36, 42, 51
Rate of ChangeDerivatives
2.7: 3a, 6, 24a, 29, 33, 2.8: 19, 26, 54, 2.9: 4, 7, 9, 15, 22, 25, 30, 36, 51, 61, 65
Derivatives of Polynomials
2.7: 3a, 6, 24a, 29, 33, 2.8: 19, 26, 54, 2.9: 4, 7, 9, 15, 22, 25, 30, 36, 51, 61, 65
Product and Quotient rules
3.1: 31, 32, 3.2: 1, 3, 6, 7, 10, 21, 3.3: 2, 5, 18, 20, 24, 31, 3.4: 4, 13, 47, 68, 71, 94
Trigonometric Functions
3.1: 31, 32, 3.2: 1, 3, 6, 7, 10, 21
Chain rule
3.1: 31, 32, 3.2: 1, 3, 6, 7, 10, 21, 3.3: 2, 5, 18, 20, 24, 31, 3.4: 4, 13, 47, 68, 71, 94
Implicit Differentiation
3.6: 2, 7, 12, 24, 26, 41, 3.9: 1, 4, 14, 18, 20, 23, 28
Linear approximation & differentials
3.6: 2, 7, 12, 24, 26, 41, 3.9: 1, 4, 14, 18, 20, 23, 28
Midterm
Maximum and minimum values
4.1: 4, 7. 8, 15. 16. 27 , 29, 32, 4.2: 1, 2, 3, 14, 16, 18, 20, 24, 28
Mean Value Theorem
4.2: 1, 2, 3, 14, 16, 18, 20, 24, 28
Derivatives and graphs 4.3: 6, 8, 14, 20, 22, 30, 50, 53
Horizontal Asymptote, Curve Sketching 4.4: 2, 4, 6,7,8, 12, 14, 18, 21, 22, 33, 34 42
Optimization Problems 4.7: 12, 21, 22, 25, 24, 50
Antiderivatives 4.9: 4, 10, 14, 30, 33, 34, 40, 44, 51, 52, 53
Areas 5.1: 18, 20, 22, 26
The Definite Integral 5.2: 18, 24, 30, 33, 34, 35, 36, 37, 40,44, 48
Fundamental Theorem of Calculus 5.3: 7. 8. 9, 22, 28, 32, 42, 46, 72, 73,5.4: 2, 10, 18, 24, 36, 44, 45,
Indefinite Integrals 5.5: 1, 2, 3, 6, 16, 22, 25, 30, 44, 62, 63
Substitution Rule, 6.1: 1-7, 14, 30, 32, 48, 50,
Areas between curves, 6.2: 2-8, 14, 18, 34, 44, 51, 6.3: 6, 12, 14, 18, 24, 30, 40, 6.5: 4, 14
Volumes 6.2: 2-8, 14, 18, 34, 44, 51, 6.3: 6, 12, 14, 18, 24, 30, 40, 6.5: 4, 14