Review Sheets and Practice Exams

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These review materials come directly from three different courses taught by David C. Lay. Each course, described in detail below, has several exams and a final exam. Each exam is accompanied by a solution page and a review page that lists facts and skills covered by the exam.

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.

Note: All of the links below lead to PDF files. These files can now be read using Adobe Acrobat version 7 or earlier. (Occasionally, words in the files display poorly on some computer screens, but the printed PDF output is of high quality.) Click here to install Adobe Acrobat for PCs and Macs.

Course A

Review Sheets	Practice Exams	Solutions to Practice Exams
Sections 1.1 - 2.3 Sections 2.4, 2.5, 2.7, 2.8, 3.1 - 3.3, 4.1 - 4.6 Sections 4.6 - 4.9, 5.1 - 5.6, 6.1, 6.2 Cumulative, including material from Sections 6.3 - 6.6, 7.1, 7.2	Sections 1.1 - 2.3 Sections 2.4, 2.5, 2.7, 2.8, 3.1 - 3.3, 4.1 - 4.6 Sections 4.6 - 4.9, 5.1 - 5.6, 6.1, 6.2 Cumulative, including material from Sections 6.3 - 6.6, 7.1, 7.2	Sections 1.1 - 2.3 Sections 2.4, 2.5, 2.7, 2.8, 3.1 - 3.3, 4.1 - 4.6 Sections 4.6 - 4.9, 5.1 - 5.6, 6.1, 6.2 Cumulative, including material from Sections 6.3 - 6.6, 7.1, 7.2

Course B

Review Sheets	Practice Exams	Solutions to Practice Exams
Sections 1.1 - 1.9, 2.1 - 2.3 Sections 2.4, 2.5, 2.8, 2.9, 5.1 - 5.3, 5.5 Sections 5.6 - 5.7, 6.1 - 6.5, 7.1, 7.2, 7.4 Cumulative, including material from Sections 4.1, 4.5, 4.8, 6.7, 6.8	Sections 1.1 - 1.9, 2.1 - 2.3 Sections 2.4, 2.5, 2.8, 2.9, 5.1 - 5.3, 5.5 Sections 5.6 - 5.7, 6.1 - 6.5, 7.1, 7.2, 7.4 Cumulative, including material from Sections 4.1, 4.5, 4.8, 6.7, 6.8	Sections 1.1 - 1.9, 2.1 - 2.3 Sections 2.4, 2.5, 2.8, 2.9, 5.1 - 5.3, 5.5 Sections 5.6 - 5.7, 6.1 - 6.5, 7.1, 7.2, 7.4 Cumulative, including material from Sections 4.1, 4.5, 4.8, 6.7, 6.8

Course C

Review Sheets	Practice Exams	Solutions to Practice Exams
Sections 1.1 - 1.8, 1.10 Sections 2.1 - 2.4, 2.6, 3.1 - 3.3, 4.1 - 4.4 Sections 4.5, 4.6, 5.1 - 5.3, 5.6, 6.1 - 6.3 Cumulative, including material from Sections 6.5, 6.6, 7.1, 7.3	Sections 1.1 - 1.8, 1.10 Sections 2.1 - 2.4, 2.6, 3.1 - 3.3, 4.1 - 4.4 Sections 4.5, 4.6, 5.1 - 5.3, 5.6, 6.1 - 6.3 Cumulative, including material from Sections 6.5, 6.6, 7.1, 7.3	Sections 1.1 - 1.8, 1.10 Sections 2.1 - 2.4, 2.6, 3.1 - 3.3, 4.1 - 4.4 Sections 4.5, 4.6, 5.1 - 5.3, 5.6, 6.1 - 6.3 Cumulative, including material from Sections 6.5, 6.6, 7.1, 7.3

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