# MATH 125: Linear Algebra for Business

### COURSE MATERIALS

Math 125 requires a custom textbook with a MyMathLab Access Code. The required textbook is Math 125 custom edition for UIC, available in our bookstore only.

We will cover chapters 1 through 6. A brief description of the material covered each week is given in the weekly schedule below. You are expected to read the textbook before the classroom discussion of each topic, as indicated on the schedule of homework and reading assignments.

A graphing calculator such as TI-83, TI-83+, TI-84 or TI-84+ is REQUIRED . You may use it on exams, however, you will still be required to show work in most cases.

### PREREQUISITES

MATH 090 or a grade of C or better in MATH 121 or appropriate performance on the UIC mathematics placement test.

The course grade will be determined by Midterms, Quizzes, Homework Assignments, and the Final Exam shown in the table below. The grading scale of 90%(540 pts) for an A, 80%(480 pts) for a B, 70%(420 pts) for a C, and 60%(360 pts) for a D are guaranteed levels for each letter grade.

 Two Hour Exams 100 points each Quizzes(best 6 of 8) 120 points total Homework 80 points total Final Exam 200 points Total 600 points

QUIZZES: The policy on quizzes is that we are dropping the lowest 2, and so using the best 6 of 8. Due to this there are NO MAKE-UPS on quizzes. Missed quizzes count as Zero and will be dropped if the student misses no more than two.

### WEEKLY SCHEDULE

Here is a brief overview of the material we will cover each week. For detailed schedule see homework page.

WEEK SECTIONS BRIEF DESCRIPTION
1 1.1 - 1.4 Linear equations and inequalities in the plane, Slope, Intersections
2 1.5, 2.1 Least-Squares Method, Systems of Linear Equations, Types of Solutions, Gaussian Elimination
3 2.2 - 2.3 Infinite Solution and No solution Cases, Operations on Matrices
4 2.4 - 2.5 Inverses of larger Matrices,
5 2.6, 3.1 Liontieff Input-Output Model, The Linear Programming Problem
6 3.1, Exam 1 The LP Problem cont'd, Review, Exam 1
7 3.2 - 3.3 Graphical Solution, Applications of Linear Programming
8 3.3, 4.1 Simplex Tableau, Slack Variables, and Pivoting
9 4.2 - 4.3 Maximum Problems, Minimum Problems
10 4.3 - 4.5 Sensitivity Analysis, Duality and Solving the Dual Simplex Problem
11 4.5, 5.1 - 5.2 Duality, The Transition Matrix, Transition Diagrams, Regular Stochastic Matrices,
12 5.3,Review, Exam 2 Absorbing States, Review, Exam 2
13 5.3, 6.1 - 6.2 Absorbing States, Theory of Games, Mixed Strategies
14 6.2 - 6.3 Mixed Strategies, Determining Optimal Mixed Strategies
15 Review Review for Final Exam
16 Final Exam Final Exam

### STUDENTS WITH DISABILITIES

Students with disabilities who require special accommodations for access and participation in this course must be registered with the Office of Disability Services (ODS). Students who need exam accommodations must contact ODS in the first week of the term to arrange a meeting with a Disability Specialist. Please contact ODS at 312/413-2183 (voice) or 312/413-0123 (TTY).

### FRESHMEN STUDENTS ONLY

We are conducting a study of the new ALEKS placement test and we want to know the opinions of the incoming freshmen who took the test.

Math 125 freshmen students please to go to https://illinois.edu/sb/sec/4772228 and take a couple of minutes to do the survey?

We would like the survey to be done before the end of the second week of the semester.