### Contents

### COURSE MATERIALS

Math 125 requires a **textbook**. The required textbook is *Linear Algebra with Business Applications*, by Sherbert and Brown,
3-d edition. This text includes a supplement in the back by
Adawi and Royer.

We will cover chapters 1 through 5. 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.

### GRADING

The course grade for the semester will be determined by Midterms, Quizzes, Homework and the Final Exam as shown below:

- 45% 3 midterm exams
- 30% Final exam
- 10% Homework
- 15% Quizzes

### 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 |

2 | 1.5 | Linear programming in the plane |

3 | 2.1 - 2.2 | Gaussian elimination |

4 | 2.3, 2.5 | Consistency, Gauss-Jordan elimination |

5 | 2.4, Exam 1 | Geometry of 3-space |

6 | 2.6 - 2.7 | Simplex algorithm |

7 | 3.1 - 3.2 | Matrix operations, inverses |

8 | 3.3 - 3.4 | Leontieff model |

9 | 3.5, Exam 2 | Determinants |

10 | 3.6, 4.1 | Markov analysis, Vectors |

11 | 4.2 - 4.3 | Linear combinations, Spans |

12 | 4.4 - 4.5 | Linear independence, Bases |

13 | 4.6, Exam 3 | Dimension |

14 | 5.1 - 5.2 | Scalar product, Orthogonality, Projections |

15 | 5.3 - 5.4, Review | Least Squares Approximation |

### 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.