**Course A: **This course, for freshmen and sophomores in a wide variety
of majors, presents the main concepts and terminology of linear algebra that
play an essential role in mathematics and in many technical areas of modern
society, such as computer science, engineering, physics, environmental science,
economics, statistics, business management and social sciences.

**Course B: **This course is for juniors in science and engineering who
may have seen determinants and brief glimpses of matrix algebra in other courses
and have had multivariable calculus. The course presents the main concepts and
terminology of linear algebra that play an essential role in science and engineering
- for example, in signal processing, control systems engineering, structural
analysis, large-scale computations, robotics, computer graphics, environmental
science, and many areas in physics.

**Course C: **This course is for juniors and seniors in the social and management
sciences who are aiming at graduate school. This course presents the essentials
of matrix theory needed in management and the behavioral and social sciences.
It provides mathematical background for courses in multivariable statistics,
biostatistics, and econometrics.

Course A |
Course B |
Course C |

Review Sheets | Review Sheets | Review Sheets |

Practice Exams | Practice Exams | Practice Exams |

To view the Transparency Masters, you will need Acrobat Reader installed on you machine. You can download Acrobat Reader here.

**NOTE:** There are Transparency Masters for select sections only.

Section |
Transparency Master |
Student Notes version |

1.1 | sec1ov.pdf | sec1.pdf |

1.2 | sec2ov.pdf | sec2.pdf |

1.3 | sec3ov.pdf | sec3.pdf |

1.4 | sec4ov.pdf | sec4.pdf |

1.5 | sec5ov.pdf | sec5.pdf |

1.6 | sec6ov.pdf | sec6.pdf |

1.7 | sec7ov.pdf | sec7.pdf |

1.8 and application | sec8andappov.pdf | sec1_8andapp.pdf |

Warm up exercises | TransWarm-upov.pdf | TransWarm-up.pdf |

Warm up exercises | warm_up1.pdf | |

Warm up exercises | warm_up2.pdf | |

Warm up exercises | warm_up3.pdf | |

2.1 | sec1ov.pdf | sec1.pdf |

2.2 | sec2ov.pdf | sec2.pdf |

2.3 | sec3ov.pdf | sec3.pdf |

2.8 | sec8.pdf | |

4.1 | sec1ov.pdf | |

4.2 | sec4_2ov.pdf | sec4_2.pdf |

4.3 | sec4_3ov.pdf | sec4_3.pdf |

4.5 | sec4_5ov.pdf | sec4_5.pdf |

4.6 | sec4_6ov.pdf | sec4_6.pdf |

5.1 | sec5_1ov.pdf | sec5_1.pdf |

5.2 | sec5_2ov.pdf | sec5_2.pdf |

5.3 | sec5_3ov.pdf | sec5_3.pdf |

6.1 | sec6_1ov.pdf | sec6_1.pdf |

6.2 | sec6_2ov.pdf | sec6_2.pdf |

6.3 | sec6_3ov.pdf | sec6_3.pdf |

6.4 | sec6_4ov.pdf | sec6_4.pdf |

6.5 | sec6_5ov.pdf | sec6_5.pdf |