Math 22: Linear Algebra with Applications

Winter 2025

Course Information


Instructors and Lectures information
Instructor Rosa Orellana (Section 11) Thomas Zdyrski (Section 10)
Lecture MWF 11:30 - 12:35 MWF 10:10 - 11:15
x-Hour Tuesday, 12:15-1:05 (Sect. 11) Thursday 12:15-1:05 (Sect. 10)
Classroom KH 007 KH 007
Email Rosa Orellana Thomas Zdyrski
Office Hours MWF 10:15-11:15 and MW 12:35 - 1:30, (in KH 319)
Tuesday 12:15-1:05 (in KH 007, x-hour)
and by appt. 		MW 12:50-1:55pm and Tues. 3:15-4:15 (in KH 211)
Thurs. 12:15-1:05 (x-hour, in 007)
Office KH 319 KH 211
Course Description

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:

  • Students will learn the main concepts, techniques, and algorithms in linear algebra.
  • Students will learn some applications of linear algebra, such as to data science, data storage, search engines.
  • Students will be prepared for more advanced courses in mathematics, computer science, physics, engineering, and any other subjects that require linear algebra.
    "Mathematics is not for spectators; in order to gain in understanding, confidence, and enthusiasm one has to participate." M.A. Armstrong
    • Textbook
    David Lay, Lay and McDonald Linear Algebra and its applications, Fifth edition (ISBN: 978-0321982384).
    Exams
    DateTime & Location
    Midterm #1 Thursday, January 30 7-9 PM, Room: Wilder 104
    Midterm #2 Thursday, February 20 7-9 PM, Room: Wilder 104
    Final Exam Tuesday, March 11 8-11 AM, Room: TBA

    The midterms will be in person, 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.

    Tutorials
    Our graduate teaching assistants Benjamin Shapiro and David Shuster will run tutorials Tuesday, Thursday, and Sunday from 7:00-9:00pm in KH 105, focusing on answering your questions as you work through understanding the concepts. You can get help with any questions you have regarding the course topics and homework assignments. Tutorials are open to all Math 22 students. You don't need an appointment.
    Grades
    The course grade will be computed as follows:

    Percent of Final Grade
    WebWork 16
    Midterms 44 (22 each)
    Homework 10
    Participation 5
    Final Exam 25


    Students will be graded on class participation. We will be using the Discussions in Canvas and to get full credit for participation you will have to write a post every week and answer to a post from another student.
    Homework Policy
      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 Tuesdays 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 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.
      WebWork: The daily web-based problems can be accessed via the WeBWorK homepage. See also the WeBWorK login containing a FAQ and quick start guide.

      It is highly recommended that you keep a notebook in which you write up your WeBWorK homework (including your work as well as the answers). This is particularly useful when studying for exams.

      WeBWorK assigned from each class is due at 10:00 PM on the day of next class. There will be a two day built-in grace period for each WeBWork assignment to allow you to complete the assignment. For example, homework from Monday is due on Wednesday evening; however, the WeBWork page will say that it will be accepted until Friday.

      Participation Homework: We will use several activities in Canvas for participation. Your instructor will discuss with you how to complete these assignments.
    Honor Principle
    Students are encouraged to work together to do homework problems. What is important is a student's eventual understanding of homework problems, and not how that is achieved.

    The honor principle on homework: What a student turns in as a homework solution is to be his or her own understanding of how to do the problem. Students must state what sources they have consulted, with whom they have collaborated, and from whom they have received help, if you did not talk with anyone or consulted any source, please write "No Collaborators". It is a violation of the honor code to copy solutions from problems posted on the web or book or any other source. The solutions you submit must be written by you alone.

    The honor principle on exams: Students may not give or receive assistance of any kind on an exam from any person except for the professor or someone explicitly designated by the professor to answer questions about the exam.

    If you have any questions as to whether some action would be acceptable under the Academic Honor Code, please speak to your instructor, they will be glad to help clarify things. It is always easier to ask beforehand than to have trouble later!
    Consent to record

    (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.

    Disabilities, Mental Health and Religious Observances
    Students requesting disability-related accommodations and services for this course are encouraged to schedule an appointment with their instructor as early in the term as possible. In order for accommodations to be authorized, students are required to consult with Student Accessibility Services (SAS; student.accessibility.services@dartmouth.edu; SAS website; 603-646-9900) and to email their instructor their SAS accommodation form. If students have questions about whether they are eligible for accommodations, they should contact the SAS office. All inquiries and discussions will remain confidential.

    Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with your instructor before the end of the second week of the term to discuss appropriate accommodations.

    Being a student is challenging, our terms are intensive, and in this term in particular your classes are probably not the only demanding part of your life. There are a number of resources available to you to support your wellness, including your undergraduate dean (http://www.dartmouth.edu/~upperde/), Counseling and Human Development (http://www.dartmouth.edu/~chd/), and the Student Wellness Center (http://www.dartmouth.edu/~healthed/).

    Page created and maintained by R. Orellana