Math 4242, Lectures 040 and 050      Applied Linear Algebra       Fall, 2023

Peter J. Olver
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
Vincent Hall 302
Phone: 626-1623
e-mail: olver@umn.edu
http://www.math.umn.edu/~olver
Office Hours:   Wednesday 10:30 am–12:00 pm,   Friday 11:30 am–1:00 pm,   or by appointment
TA:   John O'Brien    Vincent Hall 358
e-mail: obri0741@umn.edu
Office Hours:   Monday 11:30 am–1:00 pm in person,   Tuesday 1:00–2:30 pm on Zoom
Lectures:
   040:     M, W, F  1:25–2:15 pm    Burton Hall 120
   050:     M, W, F  2:30–3:20 pm    Burton Hall 120


Course Description:   Math 4242 is a one semester course that covers basic linear algebra and its applications. It is essential preparation for many advanced (5xxx and higher) math and other STEM classes.

Prerequisites:    Math 2243 or 2373 or 2573. Familiarity with vectors, matrices, and basic linear algebra is helpful but not assumed, and single-variable calculus is the only formal prerequisite. On the other hand, the student will need to draw upon some mathematical maturity to engage with the abstraction inherent to the subject.

Text:    Applied Linear Algebra, by Peter J. Olver and Chehrzad Shakiban, Second Edition, Undergraduate Texts in Mathematics, Springer, New York, 2018.
      •  I intend to cover most of chapters 1 – 8 during the semester.
      •  The text is available online through the University of Minnesota Library
      •  See the text web site for a list of corrections, a link to the students' solutions manual, and other useful information.

Homework:   Homework will be assigned periodically throughout the semester on the course Canvas site, where it is collected for grading. The assigned problems should be regarded as the minimum required for mastery of the material, and are essential for success on the exams and hence the final course grade. No late homework will be accepted, but I will drop the lowest score when figuring the final grade. You are allowed to collaborate on the homework, however the writing that is handed in must be done independently.

Hour Exams:   There will be two midterm exams. Students are allowed to bring one page of handwritten notes to the midterms.

First Midterm:   Monday, October 23:   Chapters 1 – 3.

Second Midterm:   Monday, November 20:   Chapters 4 – 5.

Final Exam:  Monday, December 18
      Section 040:   8:00am — 10:00am,   Burton Hall 120.
      Section 050:   10:30am — 12:30pm,   Burton Hall 120.
Students are allowed to bring three pages of handwritten notes to the final.

Grading:
      •  Homework 20%
      •  Hour Exams 20% each
      •  Final Exam 40%

Absence from exams:   Missing an exam is permitted only for the most compelling reasons, which must be documented, and you must obtain my permission in advance. Otherwise you will be given a 0. If you are excused from taking an exam, you will be allowed to take a makeup exam, or, depending on the circumstances, your other exam scores will be prorated.

Incompletes:   Only given in extreme circumstances, and only when the student has satisfactorily completed all but a small portion of the work in the course. Students must make prior arrangements with the professor well before the end of the semester. Incompletes will not be given solely because the student has stopped attending class or missed an exam or the final.

Student Conduct:   Students are expected to be familiar with University of Minnesota Student Conduct Code, including the consequences for violatation of standards of academic honesty. Students should also read their college bulletin for the definitions and possible penalties for cheating. During the exams you must do your own work. Students suspected of cheating will be reported to the Scholastic Conduct Committee for appropriate action. According to official University of Minnesota policy, academic dishonesty in any portion of the academic work for a course shall be grounds for awarding grade of F or N for the entire course.