Math 218: Matrices and Vector Spaces

Welcome! You have found the homepage of the Fall 2021 manifestation of Math 218.

Final Exam

The Final Exam is scheduled to take place on Friday 10-December from 2:00 PM to 5:00 PM.

You will either take the final exam in Biological Sciences 111 or French Science 2231, depending on which discussion section you are enrolled in. Please verify your discussion number on DukeHub.

• Biological Sciences 111
• Math 218D-2-01D
• Math 218D-2-02D
• Math 218D-2-03D
• Math 218D-2-04D
• Math 218D-2-05D
• Math 218D-2-06D
• Math 218D-2-09D
• French Science 2231
• Math 218D-2-07D
• Math 218D-2-08D
• Math 218D-2-10D

The exam will consist of mostly free-response problems with a few fill in the blank and multiple choice questions. You should be prepared to solve problems that you have not seen before.

The exam is cumulative, so you should be prepared for every topic covered throughout the semester to be represented on the exam.

The exam will be "closed" in the sense that no outside aid (like books or calculators) will be allowed. The only thing you need to bring is a writing utensil.

To prepare for the exam, you should be able to:

• Correctly articulate all definitions and theorems from lecture.
• Clearly and coherently solve all examples from lecture.
• Write correct and legible solutions to all problems from the midterm exams, problem sets, and discussion worksheets.
• Clearly explain how to solve each comprehension quiz problem.

If you feel confident that you can accomplish everything described above and would like some additional practice, you can review the extra material suggested for studying for Exam I, Exam II, and Exam III. Additionally, here are some optional problems from Gilbert Strang's textbook. Solutions to these problems will not be provided, but I will happily discuss them in office hours.

• Section 6.5 Exercises 2, 3, 5, 7, 25, 26, 30, 31
• Section 7.2 Exercises 2, 4, 5, 7, 15, 16, 17