Instructor: Yavor Markov; Math 135, Fall 2001
SYLLABUS


Text:  APPLIED CALCULUS, by Tan, Fifth Edition
Web Page:  http://sites.math.rutgers.edu/courses/135/135-f01/index.html. The most up to date information about anything happening in the class. Check often. Links to the WeBWorK site as well.
Course Description: Topics planned to be covered by lecture number.
Lecture # Topics Sections of text
1. 1.1,1.2,1.3,1.4 Precalculus review including straight lines
2. 2.1,2.2,2.3 Functions: graphs, algebra, use in math models; limits
3. 2.4 Limits
4. 2.5 One-sided limits and continuity
5. 2.6 The Derivative
6. 3.1,3.2 Differentiation; product, quotient rules
7. 3.3 Chain Rule
8. 3.4,3.5 Marginal functions in economics; higher-order derivatives
9. 3.6 Implicit Differentiation, related rates
10. Additional problems such as on review sheets
(special review sessions will also be held)
11. First in-class 80-minute Midterm Exam. Should include 3.6.
12. 3.7 Differentials
13. 4.1+handout Applications of 1st derivative; Rolle's Theorem, MVT
14. 4.2 Applications of 2nd derivative
15. 4.3 Curve sketching
16. 4.4,4.5 Optimization 1, begin Optimization 2
17. 4.5 Optimization 2
18. 5.1,5.2,5.4 Exp. and logs; differentiating exp
19. 5.5 Differentiating logs
20. 12.1,12.2,12.3 Trig functions and their derivatives
21. 5.6 Mathematical models with exp (including logistic equation)
22. Second in-class 80-minute exam
23. 6.1 Antiderivatives and the rules of integration
24. 6.2 Integration by substitution
25. 6.3 Area and the definite integral
26. 6.4,6.5 Fundamental Theorem of Calculus; evaluating definite integrals
27. 12.4, 5.3 Integration of Trig Functions; compound interest
28. Catch up and the harder review problems
Calculator:
You will need a basic scientific calculator (TI-83 or equivalent). It is assumed that all students know how to operate their calculator. NO calculator or computer with a QWERTY (or similar) keyboard will be be allowed for any exam or quiz. Calculators with symbolic manipulation capabilities, e.g. TI 92, WILL be allowed on the common final. However there will be several exams and quizzes which will EXCLUDE calculators with symbolic manipulation capabilities.
Midterm Tests:
There will be two midterm exams during the term. Their TENTATIVE dates are:
                              TEST 1: October 9 for sections 62,63,64; October 10 for sections 42,43,44.
                              TEST 2:  November 15 for sections 62,63,64; November 16 for sections 42,43,44.
Each of these tests will be a closed-book "in-class" exam. The exam dates are subject to change. The official exam dates will be announced in class, at least a week prior to the exam.
Final Exam:
The final examination is scheduled at 4:00 P.M. on Monday, Dec 17.
Attendance:
I expect you to attend class each day. You will only make things hard on yourself if you don't come to class.  Your class notes will be an invaluable resource when you are studying for the tests and final exam.
Quizzes: In the last 10 minutes of each recitation period you will be given a quiz. It will reflect the lecture material from the previous week. Each such quiz will be worth 10 pts. Your top ten quizzes will contribute up to 100 pts towards your final grade.
  Often, there will be a one question, 1pt., pop-quiz midway through the lecture class period. Those lecture quizzes will contribute up to 20 pts towards your final grade.
Homework:
There will be two types of homework assignments for this class, written and on-line.
  The written assignments, http://sites.math.rutgers.edu/courses/135/135-f01/hwww, are included with this syllabus. Their due dates will be announced in class. Each written assignment will be due in recitation or in class on a day of a midterm.
  The on-line assignments use the computer system WeBWorK developed at the University of Rochester. The WeBWorK assignment will be due at 3:00 a.m. on the night of your recitation. That is, Tuesday night for Sec. 42,43,44, and Wednesday night for Sec. 62, 63, 64. The WebWorK assignments will start after the second week of classes. A detailed information sheet will follow.
  It will be impossible (or at least really difficult) to pass this course without doing the homework problems. As a general rule, you should plan on working 2 HOURS OUTSIDE of class for every one hour in class in this course.
Make-Ups:
NO LATE HOMEWORK. NO LATE QUIZZES. You can take a midterm BEFORE the scheduled exam date if needed. NO LATE MIDTERMS.
Grading:
All grades will be assigned according to a 10 point scale.  That is,  90 - 100 is an A, 80 - 89 is a B, etc.
Your overall average must be greater than or equal to 60 % to earn a passing grade for the course.
Your course grade will be determined as follows:
    Midterm 1:   ; 100 pts.;     Midterm 2:   100 pts.;     10 best quizzes:   100 pts.;
    Homework:   100 pts (WebWorK - 80 pts. Paper - 20 pts.);     Lecture quizzes:   20 pts.;
    Final Exam:   200 pts.;
MAXIMUM TOTAL of 620 pts.
Honor Code:
It is expected that each student in this class will conduct him or herself within the guidelines of the Rutgers University Honor System. All academic work should be done with the highest level of honesty and integrity that this University demands.
Office Hours:
Please do not hesitate to come to my office hours if you are having any difficulty with the course. (You are also more than welcome even if you are not having difficulty.) . If your schedule does not allow you to come during my regular office hours, I will be happy to work with you to find a mutually convenient time.