MAT 191 Calculus I, Section 02

MAT 191 Calculus I, Section 02, CN 40822 Fall 2012

Class meets MWF 1:00PM - 2:25PM in SBS A216

Instructor: Serban Raianu

Office: NSM A-123; Office phone number: (310) 243- 3139

e-mail address: sraianu@csudh.edu; URL: http://www.csudh.edu/math/sraianu;

Office hours: Monday: 2:30 p.m.-3.00 p.m., Wednesday: 4:00 p.m.-5:00 p.m., Friday: 10:45 a.m.-11:15 a.m., 2:30 p.m.-4:30 p.m., or by appointment.

Course Description: MAT 191, Calculus I, covers Chapters 1-5 from the textbook: Differential and integral calculus of one variable: limits, continuity, derivatives and application of derivatives, integrals, Fundamental Theorem of Calculus, inverse functions.

Text: James Stewart, Essential Calculus, Brooks/Cole, 2007.

Objectives: After completing MAT 191 the student should be able to:

Understand the four basic concepts of one-variable calculus; the limit, the concept of continuity, the derivative and the integral of a function of one variable
Use the rules of differentiation to compute derivatives of algebraic and trigonometric functions
Use derivatives to solve problems involving rates of change, tangent lines, velocity (speed), acceleration, optimization, and related rates.
Investigate the graph of a function with the aid of its first and second derivatives: asymptotes, continuity, tangency, monotonicity, concavity, extrema, inflection points, etc.
Understand the meanings of indefinite integral and the definite integral of a function of one variable, and their relationship to the derivative of a function via the Fundamental Theorem of Calculus
Use rules of integration including the Substitution Rule to evaluate indefinite and definite integrals
Differentiate Exponential, Logarithmic, and Inverse Trigonometric Functions
Use l'Hospital's Rule

Prerequisites: MAT 153 or equivalent with a grade of "C" or better.

Grades: Grades will be based on three in‑class 80-minutes examinations (60% total), a comprehensive final examination (25%), and quizzes, homework, attendance and other assignments (15%) for the remainder.

The exact grading system for your section is the following:

Each of the three 80-minutes exams will be graded on a 100 scale, then the sum of the scores is divided by 5 and denoted by E.

Homework will be due every Monday, and each homework is worth 5 points. No late homework will be accepted. The average of all homework scores is denoted by H.

5 to 10 minutes quizzes will be given in principle every Monday, and will be graded on a scale from 1 to 5. The average of the quizzes scores is denoted by Q.

There are also 5 points awarded for attendance and class participation. This portion of the grade is denoted by A.

The final exam will be graded out of a maximum possible 200, then the score is divided by 8 and denoted by F.

To determine your final grade, compute E+H+Q+A+F. The maximum is 100, and the grade will be given by the rule:

A: 93‑100; A‑: 90‑92; B+: 87‑89; B: 83‑86; B‑: 80‑82

C+: 77‑79; C: 73‑76; C‑: 70‑72; D+: 67‑69; D: 60‑66; F: Less than 60.

WebWorK: There will be three WebWork assignments. You should go to my web site, follow the link, then log in using as user name your CSUDH email user name (i.e. first initial followed by last name and a number), and your student ID as password (change the password after the first log in). Each of the three assignments are due before 11pm of the day before each of the three exams. Completing an assignment will bring you 10 bonus points toward the grade of the following exam (this is 2 extra points toward your final grade).

Makeups: No makeup examinations or quizzes will be given. If you must miss an examination for a legitimate reason, discuss this, in advance, with me, and I may then substitute the relevant score from your final examination for the missing grade.

Accomodations for Students with Disabilities: Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

Academic Integrity: The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

Technology: Symbolic calculators, such as TI-89 or TI-92 are not acceptable for this course.

Exam rules: Students must leave their CSUDH student ID on their desk for the duration of the exam. Cell phones, iPhones, iPods, or PDAs of any kind, as well as headphones, may not be used at all during a test. Students are discouraged from leaving the exam room during the period of the exam. Restroom breaks must be kept under five minutes and are limited to one/exam. You will be penalized 5 points if you are gone more than five minutes. No more than one student can be out of the room at any given time during an exam. If a student finds it necessary to leave the room under these circumstances, they are not permitted to access computer terminals, smoke, read notes/books, or talk with others. If a student is found engaging in this behavior, appropriate disciplinary action will be taken. Whenever a student leaves the room, they must turn their exam upside down on their desk. All book bags or similar items will be deposited in the front of the class for the duration of the test.

Tentative schedule and homework assignments

1. M 8/27: 1.1 Functions and Their Representations: (odd)1-7,17-39,41-49,53-61

2. W 8/29: 1.2 A Catalog of Essential Functions: (odd)1,11,13,15,19-51

3. F 8/31: 1.3 The Limit of a Function: (odd)1-17,21,23,29-41

4. M 9/3: Labor Day

5. W 9/5: 1.4 Calculating Limits: (odd)1-23,29-39,43-49

6. F 9/7: 1.5 Continuity: 3,5,13,19,29,33(b)

7. M 9/10: 1.6 Limits Involving Infinity: (odd)1-7,13-31

8. W 9/12: 2.1 Derivatives and Rates of Change: 2,3-6,9,16,17,23,25,27

9. F 9/14: 2.2 The Derivative as a Function: (odd) 3,23,27

10. M 9/17: 2.3 Basic Differentiation Formulas: (odd)1-25,29,31,43

11. W 9/19: 2.4 The Product and Quotient Rules: (odd)1-31,33-41

12. F 9/21: Review

13. M 9/24: Exam I

14: W 9/26 : 2.5 The Chain Rule: (odd)1-39

15. F 9/28: 2.5 The Chain Rule: (even)2-40

16. M 10/1: 2.6 Implicit Differentiation: (odd)3-19,23,25

17. W 10/3: 2.7 Related Rates: (odd)1-9,13

18. F 10/5: 2.8 Linear Approximations and Differentials:1,3,11,15,17

19. M 10/8: 3.1 Maximum and Minimum Values: (odd)7-33

20: W 10/10: 3.2 The Mean Value Theorem: 19,23,27

21. F 10/12: 3.3 Derivatives and the Shape of Graphs: (odd)1-31

22. M 10/15: 3.4 Curve Sketching: (odd)1-33

23. W 10/17: 3.5 Optimization Problems: 1,9,11,13,18,19,21,31,33,37

24. F 10/19: Review

25. M 10/22: Exam II

26. W 10/24: 3.7 Antiderivatives: (odd)1-27,33,35,39,45

27. F 10/26: 4.1 Areas and Distances: (odd)1-15

28. M 10/29: 4.2 The Definite Integral: (odd)1-25

29. W 10/31: 4.3 Evaluating Definite Integrals: (odd)1-29,35,37,41

30. F 11/2: 4.4 The Fundamental Theorem of Calculus: (odd)1-25

31. M 11/5: 4.5 The Substitution Rule: (odd)1-21

32. W 11/7: 4.5 The Substitution Rule: (odd)23-47

33. F 11/9: 5.1 Inverse Functions: (odd)1-25,31-39

34. M 11/12: Veterans Day Holiday

35. W 11/14: 5.2 The Natural Logarithmic Function: (odd)1-41,51-61

36. F 11/16: 5.3 The Natural Exponential Function: (odd)1-35,57-63

37. M 11/19: 5.4 General Logarithmic and Exponential Functions: (odd)1-9,21-37

38. W 11/21: Review

39. F 11/23: Thanksgiving Holiday

40. M 11/26: Exam III

41. W 11/28: 5.5 Exponential Growth and Decay: 1,3,5,9,13,19

42. F 11/30: 5.6 Inverse Trigonometric Functions: (odd)1-37

43. M 12/3: 5.6 Inverse Trigonometric Functions: (even)2-36

44. W 12/5: 5.8 Indeterminate Forms and l'Hospital Rule: (odd)1-35

45. F 12/7: Review

Final examination: Monday, December 10, 1:00 PM - 3:00 PM.

Important Dates:

August 25-September 13*	Saturday-Thursday	Late Registration, Add/Drop
September 3	Monday	Labor Day Holiday-Campus Closed
September 7, 12 pm*	Friday	Instructor Drop Deadline
September 13*	Thursday	Change of Program and Add/Drop Deadline
September 13	Thursday	Credit/No Credit and Audit Grading Deadline
September 13	Thursday	Drop Without Record of Enrollment Deadline
September 13*	Thursday	Last Day to Drop from FT to PT Status with Refund
September 14-November 15*	Friday-Thursday	Serious and Compelling Reason Required to Drop/Withdraw
September 17*	Monday	Spring 2012 Undergrad Graduation Application Deadline
September 24	Monday	Student Census
October 26	Friday	Last Day for Pro-rata Refund of Non-Resident Tuition and Tuition Fees
November 12	Monday	Veterans Day Holiday-Campus Closed
November 15*	Thursday	Spring 2013 Graduate Graduation Application Deadline
November 16-December 6*	Friday-Thursday	Serious Accident/Illness Required to Drop/Withdraw
November 22-24	Thursday-Saturday	Thanksgiving Holiday-Campus Closed
November 23	Friday	Thanksgiving Holiday-Campus Closed, Not a Holiday
December 7	Friday	Last Day of Scheduled Classes
December 8	Saturday	Study Day
December 8-14	Saturday-Friday	Final Examination
December 11	Tuesday	Grade Submission Begin
December 14	Friday	Evaluation Day
December 18, 3 pm*	Tuesday	Final Grades Due
December 18	Tuesday	Semester Ends