Math 22: Linear Algebra with Applications

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Syllabus

Homework

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Linear algebra is the study of vector spaces and the linear transformations between such spaces. In this class we will work mostly with the vector space Rⁿ. We will learn how to represent linear transformations with matrices and study different types of linear transformations, such as diagonalizable transformations. During the last weeks of classes we will concentrate on applications. For a more detailed description on the topics we will learn in this class see the day to day syllabus.

Linear algebra is very important for both pure and applied mathematics. This is one of the reasons that it is a prerequisite for almost all of your math major courses and other STEM subjects. The techniques of linear algebra are used in engineering, physics, natural sciences, computer science and economics. For example, when we combine calculus with linear algebra we can solve linear systems of differential equations.

Goals of the course:

The midterms will be in person, (ideally) 2-hours in length and the final is a 3-hour exam scheduled by the registrar and it will be in person. More information will be provided by your instructor in the week before the exams.

If you have a conflict with one of the midterm exams because of a religious observance, scheduled extracurricular activity such as a game or performance [not practice], scheduled laboratory for another course, or similar commitment, please see your instructor as soon as possible.

If you must miss a class, it is your responsibility to submit all homework on time, and to arrange to get notes from a classmate.

Written Homework: Written homework assignments will be assigned once a week and will be posted on the homework page and it will be collected once a week every Tuesday via Gradescope. No late homework will be accepted. Please do not ask for extensions on the homework.

• Check the homework page for due dates for the written homework.
• Unexcused late and missing assignments count as zero. It is your responsibility to keep track of your homework grades.
• Homework is to be written neatly make sure not to write too close to the margins, otherwise when you scan it there might be missing information. Make sure that before you submit your homework you check to make sure that all information has been scanned and that it can be read.
• Use English. If you can't read your solutions aloud as fluently as if you were reading a textbook, try using nouns and verbs in your write ups!
If you do not follow these guidelines, your written homework will be returned to you ungraded.

(1) Consent to recording of course and group office hours: By enrolling in this course,a) I affirm my understanding that the instructor may record this course and any associated group meetings involving students and the instructor, including but not limited to scheduled and ad hoc office hours and other consultations, within any digital platform used to offer remote instruction for this course;b) I further affirm that the instructorowns the copyright to their instructional materials, of which these recordings constitute a part, and my distribution of any of these recordings in whole or in part without prior written consent of the instructor may be subject to discipline by Dartmouth up to and including expulsion;

(2) Requirement of consent to one-on-one recordings: By enrolling in this course, I hereby affirm that I will not under any circumstance make a recording in any medium of any one-on-one meeting with the instructor without obtaining the prior written consent of all those participating, and I understand that if I violate this prohibition, I will be subject to discipline by Dartmouth up to and including expulsion, as well as any other civil or criminal penalties under applicable law.