MAT 105 Finite Mathematics, Section 02, CRN 41338, Fall 2009


Class meets TuTh 1:00 pm 2:15 pm in SBS B209.


Instructor: Serban Raianu

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

e-mail address:; URL:;

Office hours: TuTh: 4:20 pm 5:20 pm, or by appointment.


Course Description: Satisfies Quantitative Reasoning Requirement in General Education Program. Mathematics of finance, combinatorics, probability, statistical measures of central tendency and dispersion, problem solving and mathematical reasoning

Text: Finite Mathematics, by Barnett, Ziegler, Byleen. Prentice Hall, Eleventh Edition.

Objectives: Upon completing MAT 105 the student should be able to:

  • understand and compute simple and compound interest and exponential growth and decay, and apply these ideas to problems in finance, economics, and life sciences
  • understand and apply the notions of present value and amortization and apply these ideas to problems in finance and economics
  • understand basic concepts in set theory and combinatorics, and apply these concepts to practical problems
  • understand and apply basic concepts of probability, including conditional probabilities, and their relationship to independence, and apply these concepts to practical problems
  • understand statistical measures of central tendency and dispersion and their implications
  • successfully engage in systematic reasoning and mathematical problem-solving

Prerequisites: Students must have satisfied the ELM requirement before enrolling in MAT 105.


Grades: Grades will be based on four in‑class 60-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 four 60-minutes exams will be graded on a 100 scale, then the sum of the best three scores is divided by 5 and denoted by E.

Homework will be collected every class meeting, 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 Tuesday, with the exception of the review and exam days, and will be graded in class 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; NC: Less than 73.



Makeup: 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.


Accommodations 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".)


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

Tu 9/1: 3.1 Simple interest: 3,9,35,37,41,43,47,51,55

Th 9/3: 3.2 Compound interest: 2,33,43,51,61,69,77,87,93

Tu 9/8: 3.3 Future Value of an Annuity, Sinking Funds: 3,11,15,21,23,25,27,39

Th 9/10: 3.4 Present Value of an Annuity, Amortization: 3,7,11,15,17,23,31,37,41,43,49,51

Tu 9/15: Review

Th 9/17: Exam 1

Tu 9/22: 4.1 Systems of Linear Equations in Two Variables: 5,11,21,27,39,53,61

Th 9/24: 5.2 Systems of Linear Inequalities in Two Variables: 13,19,25

Tu 9/29: 5.3 Linear Programming in Two Dimensions: Geometric Approach: 1,2,4,5,7,9,27

Th 10/1: Review

Tu 10/6: Exam 2

Th 10/8: 7.2 Sets: 7,18,24,31,33,36,43,83

Tu 10/13: 7.3 Basic Counting Principles: 14,18,20,24,38,40,50,54,66

Th 10/15: 7.4 Permutations and Combinations: 1,11,16,22,33

Tu 10/20: Review

Th 10/22: Exam 3

Tu 10/27, Th 10/29: 8.1 Sample Spaces, Events, and Probabilities: 22,27,32,38,44,56,91,95

Tu 11/3, Th 11/5: 8.2 Union, Intersection, and Complement of Events; Odds: 2,6,21,31,34,43,49,51,73

Tu 11/10, Th 11/12: 8.3 Conditional Probability, Intersection, and Independence: 9,21,25,33,36,51,60,64

Tu 11/17, Th 11/19: 8.4 Bayes' Formula: 1,3,6,12,25,27,29,35,37

Tu 11/24, Tu 12/1: 8.5 Random Variable, Probability Distribution, and Expected Value: 1,3,6,12,25,27,29,37,39

Th 11/26: Thanksgiving

Th 12/3: Review

Tu 12/8: Exam 4

Th 12/10: Final review


Final Exam: Tuesday December 15, 1:00 pm 3:00 pm