MAT 191 Calculus I,Section 01, CN 21027, Spring 2010


Class meets MoWeTh 10:00AM - 11:24AM in LIB B526.


Instructor:Serban Raianu

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

e-mail address:; URL:;

Office hours: Monday 11:30 a.m.-1:30 p.m., Wednesday, Thursday: 4:20 p.m.-5:20 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 70-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 70-minutes exams will be gradedon 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 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 1/25:†††††† 1.1 Functions and Their Representations: (odd)1-7,17-39,41-49,53-61

2. W 1/27:†††††† 1.2 A Catalog of Essential Functions: (odd)1,11,13,15,19-51

3. Th 1/28:††††† 1.3 The Limit of a Function: (odd)1-17,21,23,29-41

4. M 2/1:†††††††† 1.4 Calculating Limits: (odd)1-23,29-39,43-49

5. W 2/3:†††††††† 1.5 Continuity: 3,5,13,19,29,33(b)

6. Th 2/4:††††††† 1.6 Limits Involving Infinity: (odd)1-7,13-31

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

8. W 2/10:†††††† 2.2 The Derivative as a Function: (odd) 3,23,27

9. Th 2/11:††††† 2.3 Basic Differentiation Formulas: (odd)1-25,29,31,43

10. M 2/15: ††† Presidentsí Day Holiday

11. W 2/17:†††† 2.4 The Product and Quotient Rules: (odd)1-31,33-41

12. Th 2/18:††† Review

13. M 2/22:†††† Exam I

14: W 2/24 :††† 2.5 The Chain Rule: (odd)1-39

15. Th 2/25: †† 2.5 The Chain Rule: (even)2-40

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

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

18. Th 3/4:††††† 2.8 Linear Approximations and Differentials:1,3,11,15,17

19. M 3/8:†††††† 3.1 Maximum and Minimum Values: (odd)7-33

20: W 3/10:†††† 3.2 The Mean Value Theorem: 19,23,27

21. Th 3/11:††† 3.3 Derivatives and the Shape of Graphs: (odd)1-31

22. M 3/15:†††† 3.4 Curve Sketching: (odd)1-33

23. W 3/17:†††† 3.5 Optimization Problems: 1,9,11,13,18,19,21,31,33,37

24. Th 3/18:††† Review

25. M 3/22:†††† Exam II

26. W 3/24:†††† 3.6 Newton's Method: (odd)1-5,9-15

27. Th 3/25:††† 3.7 Antiderivatives: (odd)1-27,33,35,39,45

28. M 3/29:†††† Spring Recess

29. W 3/31:†††† Spring Recess

30. Th 4/1:††††† Spring Recess

31. M 4/5:†††††† 4.1 Areas and Distances: (odd)1-15

32. W 4/7:†††††† 4.2 The Definite Integral: (odd)1-25

33. Th 4/8:††††† 4.3 Evaluating Definite Integrals: (odd)1-29,35,37,41

34. M 4/12:†††† 4.4 The Fundamental Theorem of Calculus: (odd)1-25

35. W 4/14:†††† 4.5 The Substitution Rule: (odd)1-21

36. Th 4/15:††† 4.5 The Substitution Rule: (odd)23-47

37. M 4/19:†††† 5.1 Inverse Functions: (odd)1-25,31-39

38. W 4/21:†††† 5.2 The Natural Logarithmic Function: (odd)1-41,51-61

39. Th 4/22:††† 5.3 The Natural Exponential Function: (odd)1-35,57-63

40. M 4/26:†††† 5.4 General Logarithmic ad Exponential Functions: (odd)1-9,21-37

41. W 4/28:†††† Review

42. Th 4/29:††† Exam III

43. M 5/3:†††††† 5.5 Exponential Growth and Decay: 1,3,5,9,13,19

44. W 5/5: ††††† 5.6 Inverse Trigonometric Functions: (odd)1-37

45. Th 5/6: †††† 5.6 Inverse Trigonometric Functions: (even)2-36

46. M 5/10:†††† 5.7 Hyperbolic Functions: (odd)1-17,27-41

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

48: Th 5/13:††† Review

Final examination: Monday, May 17, 10:00 AM-12:00 PM.