MAT 153 Pre-Calculus,Section 01, CN 20486, Spring 2011


Class meets MWF 11:30AM - 12:40PM in SBS E220


Instructor:Serban Raianu

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

e-mail address:; URL:;

Office hours:Wednesday: 2:20 p.m.-4:20 p.m., Friday: 12:45 p.m.-2:45 p.m., or by appointment.


Course Description: MAT 153, College Algebra and Trigonometry,covers Chapters 9-26 from the book: functions, including their graphs, domain, range, inverse functions. Standard algebraic transformations of functions and the corresponding geometric transformations of their graphs. Exponential and logarithmic functions and equations; exponential growth and decay. Right-triangle trigonometry and applications. Trigonometric and inverse trigonometric functions and their graphs. Harmonic motion and sinusoids. Trigonometric identities and equations. The laws of sines and cosines.


Text: Precalculus (second edition), by Fred Safier, Schaumís outlines, McGraw Hill.


Objectives: After completing MAT 153 the student should be able to: obtain the domain and graph of linear, quadratic, exponential, logarithmic, trigonometric, and inverse trigonometric functions; understand the Vertical and Horizontal Line Tests; find the composition of two functions algebraically, and the inverse of a function, both algebraically and geometrically; understand the effects on the graph of a function (e.g. translations and/or reflections) due to standard algebraic changes to the function; use laws of exponents and logarithms and trigonometric identities; simplify expressions involving exponential, logarithmic, and trigonometric functions; solve exponential, logarithmic, and trigonometric equations; prove trigonometric identities; solve standard exponential growth and decay problems; understand the correspondence between the symmetries of the trigonometric circle and the symmetries of the trigonometric functions; use a graphic calculator to graph and evaluate exponential, logarithmic, and trigonometric functions; solve triangles using the Laws of Sines and Cosines; apply trigonometry to surveying, navigation, area, and angular speed problems and harmonic oscillations; throughout, use standard mathematical notation and terminology and avoid nonsensical expressions and statements.


Prerequisites: Fulfillment of ELM requirement.


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 Sunday at 10 pm, and it will be done online in the WebWork system. To access WebWork 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 (you can change the password after the first log in). Set0 explains how to introduce your answers and will not be graded. When you log in you will see the problem sets for the current week. Each weekly homework assignment is worth up to 5 points (e.g. doing half of the problems in a week will bring you 2.5 points). No late homework will be accepted. The average of all homework scores is denoted by H.


It is important to do the homework, because problems on the quizzes and exams will be similar to the problems in the homework assignments.


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.


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

1. M 1/24:†††††† 9 Functions

2. W 1/26:†††††† 10 Linear Functions

3. F 1/28:†††††††† 11 Transformations and graphs

4. M 1/31:†††††† 12 Quadratic Functions

5. W 2/2:†††††††† 13 Algebra of Functions; Inverse Functions

6. F 2/4:†††††††††† 14 Polynomial Functions

7. M 2/7:†††††††† 15 Rational Functions

8. W 2/9:†††††††† 16 Algebraic Functions; Variation

9. F 2/11:†††††††† 17 Exponential Functions

10. M 2/14: ††† 18 Logarithmic Functions

11. W 2/16:†††† 19 Exponential and Logarithmic Equations

12. F 2/18:†††††† 19 Exponential and Logarithmic Equations

13. M 2/21:†††† Presidentsí Day Holiday

14: W 2/23 :††† Review

15. F 2/25: ††††† Exam I

16. M 2/28:†††† 20 Trigonometric Functions

17. W 3/2:†††††† 20 Trigonometric Functions

18. F 3/4:†††††††† 20 Trigonometric Functions

19. M 3/7:†††††† 21 Graphs of Trigonometric Functions

20: W 3/9:†††††† 21 Graphs of Trigonometric Functions

21. F 3/11:†††††† 21 Graphs of Trigonometric Functions

22. M 3/14:†††† 22 Angles

23. W 3/16:†††† 22 Angles

24. F 3/18:†††††† 23 Trigonometric Equations and Identities

25. M 3/21:†††† 23 Trigonometric Equations and Identities

26. W 3/23:†††† 23 Trigonometric Equations and Identities

27. F 3/25:†††††† 23 Trigonometric Equations and Identities

28. M 3/28:†††† Spring Recess

29. W 3/30:†††† Spring Recess

30. F 4/1:†††††††† Spring Recess

31. M 4/4:†††††† Review

32. W 4/6:†††††† Exam II

33. F 4/8:†††††††† 24 Sum, Difference, Multiple, and Half-Angle Formulas

34. M 4/11:†††† 24 Sum, Difference, Multiple, and Half-Angle Formulas

35. W 4/13:†††† 24 Sum, Difference, Multiple, and Half-Angle Formulas

36. F 4/15:†††††† 24 Sum, Difference, Multiple, and Half-Angle Formulas

37. M 4/18:†††† 24 Sum, Difference, Multiple, and Half-Angle Formulas

38. W 4/20:†††† 24 Sum, Difference, Multiple, and Half-Angle Formulas

39. F 4/22:†††††† 25 Inverse Trigonometric Functions

40. M 4/25:†††† 25 Inverse Trigonometric Functions

41. W 4/27:†††† 25 Inverse Trigonometric Functions

42. F 4/29:†††††† 26 Triangles

43. M 5/2:†††††† 26 Triangles

44. W 5/4: ††††† 26 Triangles

45. F 5/6: ††††††† 26 Triangles

46. M 5/9:†††††† Review

47: W 5/11:†††† Exam III

48: F 5/13:††††† Review

Final examination: Wednesday, May 18, 11:30 AM-1:30 PM.