Math 218: Matrices and Vectors

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Final Exam

The Final Exam is scheduled to take place on Sunday 18-December from 7:00 PM to 10:00 PM.

You will either take the final exam in Gross Hall 107 or Gross Hall 103, depending on which discussion section you are enrolled in. Please verify your discussion number on DukeHub.

• Gross Hall 107
• Math 218D-2-03D (Yuqing Dai)
• Math 218D-2-04D (Yuqing Dai)
• Math 218D-2-05D (Bowen Li)
• Math 218D-2-07D (Yupeng Li)
• Math 218D-2-08D (Yupeng Li)
• Math 218D-2-09D (Bowen Li)
• Gross Hall 103
• MATH 218D-2.01D (Yixin Tan)
• MATH 218D-2.02D (Hwai-Ray Tung)

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.

The schedule of office hours leading up to the final will be:

• Brian's Office Hours
• Monday 12-December 11am-1pm (Zoom: )
• Wednesday 14-December 9am-11am (Zoom: )
• Thursday 15-December 9am-11am (Zoom: )
• Yixin's Office Hours
• Monday 12-December 9am-11am (Zoom: )
• Tuesday 13-December 9am-11am (Zoom: )
• Ray's Office Hours
• Monday 12-December 2pm-4pm (Physics 274J)
• Bowen's Office Hours
• Monday 12-December 7pm-10pm (Gross 324)
• Wednesday 14-December 7pm-10pm (Gross 324)
• Yupeng's Office Hours
• Wednesday 14-December 11am-12:30pm (Gross 351)
• Friday 16-December 11am-12:30pm (Gross 351)

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 7.2 Exercises 2, 4, 5, 7, 15, 16, 17