M118:  FINITE MATHEMATICS                                      IUN     18823

                       

SPRING 2005                        10:00A - 11:15A                     MW    HH416

 

INSTRUCTOR:           Dr. Vesna Kilibarda

E-MAIL:                      vkilibar@iun.edu

URL:                            http://www.iun.edu/~mathvk/

PHONE:                      (219) 980-6591 (w)   

OFFICE:                      Hawthorn Building, Room 457

OFFICE HOURS:       M                                 W                                R
11:15A-12:00P            11:15A-12:00P                       
03:30P-05:25P 03:30P-05:25P 03:30P-05:25P

                                    and by appointment

COURSE

DESCRIPTION:          M118 Finite Mathematics covers set theory, linear systems, matrices and determinants, probability, linear programming, and
applications to problems from business and the social sciences.

 

OBJECTIVE:               A major goal is to develop the competency of mathematical problem solving in business and social sciences. Upon finishing this course, you will be able to solve problems such as:

 

Cost Control               An appliance repair shop has 5 vacuum cleaners, 12 TV sets, and 18 VCRs to be repaired. The store employs two part-time repairmen. One repairman can repair one vacuum cleaner, two TV sets and six VCRs in 1 week, while the second repairmen can repair one vacuum cleaner, two TV sets and six VCRs in one week. The first employee is paid $250 a week and the second employee is paid $220 a week. To minimize the cost, how many weeks should each of the two repairmen be employed?

 

Family                         What is the probability that a family with exactly 6 children will have 2 boys and 4 girls?

 

PREREQUISITE:         Proficiency in two years of high school algebra or at least a C in M117.

 

PROCEDURE:            The students are expected to read the text, solve assigned problems, and come to class prepared to discuss the ideas and have concepts clarified. Most students make normal progress with around six hours of study each week outside class. Please see me if you have difficulty keeping up with the schedule.

 

HOMEWORK:            Homework is an essential activity for you to achieve success in this class. To receive full credit for homework, it must be legible, complete, and correct. Students are encouraged to work together to complete their homework assignments. You will need to show your work to receive credit.  Where work can be shown, answers are not enough!!! No late homework will be accepted without permission or valid excuse. Homework should be kept in a notebook. The homework for each chapter should be labeled by a separate tab. Each new section should begin on a separate page and be clearly identified. In the class period of each exam, the notebooks will be collected and graded. A student's semester homework will be worth 100 points.

 

EXAMS:                      We will have three chapter exams and a comprehensive final exam.

 

SUPPLIES:                  A  graphing calculator is required. Most class demonstrations will be done using Texas Instruments TI-83 graphing calculator. You may rent a graphing calculator in the IUN library.

 

TEXT:                          Finite Mathematics, 9th  Ed., by Sullivan and Mizrahi

 

COURSE

OUTLINE:

 

Week  Day                 Lecture                                   Homework Assignment

(1)        01/10               Sets                                          6.1#5,9,13,19,23, 25,29,31, 35,37

                                                                                    6.2 #5,7,11,15,19,23,27,29,31           

01/12               The Multiplication                     6.3 #3,5,9,13,15,17,19,21,23,27

                        Principle                                                                      

 

(2)        01/17               Martin Luther King Day       NO CLASS

01/19               Permutations and                      6.4 #5,9,13,17,21,23,25,27,29,31      

                        Combinations                           6.5 #3,7,11,15,17,19,25,27,29,33

                                                                                   

(3)        01/24               The Binomial Theorem  6.6 #5,7,9,11,13,15,17,19,21             

            01/26               Review                                                

                                               

(4)               01/31               EXAM I                                  Ch. 6               (HW1 DUE)   

02/02               Sample Space and                    7.1 #9,17,21,27,29,35,39,41, 47,53   

Probability                                7.2 #11, 15,19,21,25,31,35, 39,43,47,55

 

(5)        02/07               Probability and Counting           7.3 #3,5,7,9,11,13,19,21,23,25,27                 

02/09               Conditional Probability              7.4 #11,13,17,19,21,29,31,33,35,37,39,53,59                       

(6)        02/14               Independence and                    7.5 #5, 9,11,13,23, 29,31,33

                                    Bayes’ Formula                        8.1 #5,9,13,15,19,27,29, 33,35                      

02/16               Binomial Model                        8.2 #3,15,23,29,31,35,37,39  

                       

(7)        02/21               Expected Value                        8.3 #3,7,9,11,13,19,21,23,25,27

02/23               Review            

 

(8)        02/28               EXAM II                                Ch. 7 & 8        (HW2 DUE)

03/02               Linear Equations                       1.1 #5,9,11, 23,27,29,73,77

                                                                                    1.2 #5, 13, 25,35,39,43,47                 

                                                                        1.3 #3,5,9,11,15,19,27                                   

 

(9)        03/07               Systems of Linear Equations  2.1 #5,9,13,17,21,25, 43,47,53,57,61   

            03/09               Systems of Linear Equations  2.2 #13,21,59,61,71,73, 77,79,83,87

 

(10)      03/14-03/18     SPRING RECESS

 

(11)      03/21               Systems of m equations            2.3 #13,17,19,21,29,31, 39,53,55,57

containing n variables                           

03/23               Matrices                                   2.4 #9,13,17,21, 29,33 ,39,53,57,59

                                                                        2.5 #5,9,13,17,21,25,43, 47,53

03/25               Automatic ‘W’ Deadline

 

(12)      03/28               Inverse of a Matrix                   2.6 #5, 11,15,21,39,41, 49,53,55       

03/30               Review

 

(13)      04/04               EXAM III                               Ch.  1 & 2       (HW3 DUE)

04/06               Markov Chains                         10.1 #3,5, 9,11,13,15             

 

(14)      04/11               Markov Chains                         10.2 #3,5, 9,11,13                  

            04/13              Markov Chains                         10.3 #3,5, 9,11,13,17 

 

(15)      04/18               Linear Inequalities                     3.1 #7,15,19,27,31,41,45

04/20               Linear Programming                  3.2 #11,15,17,21,25,29,41,45,47

 

(16)      04/25               Applications                             3.3 #3,5,7,9,11

            04/27               Review

 

Wednesday, May 04 2005       Final Exam (HW4 DUE)      10:00A - 12:00P         HH 416

GRADING:                  Each test and a semester homework is worth 100 points. Your grade will be determined by the arithmetic mean of your scores. Grading intervals will be:

                                                [90-100]          points               A

                                                [80-90)            points               B

                                                [70-80)            points               C

                                                [60-70)            points               D

                                                [0-60)             points               F

 

 

MATH LAB:                The Math Lab is located in HH436. Students may receive drop-in tutoring. This is an excellent place to get help or find classmates for group sessions. Hours for the MATH LAB are:

                                                M - R               9:00 AM - 8:00 PM

                                                S                      10:00 AM - 3:00 PM