Linear Algebra - Math 22 (Fall 2023)

Welcome to the Linear Algebra Course webpage at Dartmouth college. This course is designed to provide an introduction to the theory and applications of linear algebra.

Math 22 - Course Information

Textbook: Introduction to Linear Algebra, Gilbert Strang (4th edition)

Section 01

  • Instructor: Mohammad Javad Latifi
  • Lecture: MWF 10:10-11:15, Kemeny 201
  • Office Hours: M 5PM-6PM, W 4PM-6PM, Kemeny 209
  • Tutorial Hours: TuThSu 7-9 PM, Kemeny 105
  • X Hour: Th 12:15-1:05 PM

Section 02

  • Instructor: Brian Mintz
  • Lecture: MWF 11:30-12:35, Haldeman 007
  • Office Hours: WF 10:30-11:30, Th 11:00-12:00 AM , Kemeny 244
  • Tutorial Hours: TuThSu 7-9 PM, Kemeny 105
  • X Hour: Th 12:15-1:05 PM

Homework Assignments

Problem Set Due Date Solution
HW1 September 21, 5 PM HW1-Solution
HW2 September 28, 5 PM HW2-Solution
HW3 Oct 6, 5 PM HW3-Solution
HW4 Oct 12, 5 PM HW4-Solution
HW5 Oct 19, 5 PM HW5-Solution
HW6 Oct 27, 5 PM HW6-Solution
HW7 Nov 2, 5 PM HW7-Solution
HW8 Nov 9, 5 PM HW8-Solution

Grade

Homework Submission

Submit the homework in gradescope. Written homework will be graded on both the correctness of your solutions and the completeness, correctness, and clarity of your work and explanations. Explaining your work both demonstrates your understanding and helps your learning. Try to write so that another student in the class, who does not understand the material as well as you do and has not yet thought about this homework problem, would be easily able to understand your reasoning.

Class Acitvity Submission

Upload the week class activity as pdf or jpg file in the 'Assignment' section of Canvas.

Project

We are goingto have a final (group based) project on applications of linear algerba.

Visualizations



Schedule

Week 1 (Sep 11): Vectors
sections: 1.1, 1.2, 1.3

Week 2 (Sep 18): Linear Equations, Elimination
sections: 2.1, 2.2, 2.3

Week 3 (Sep 25): Matrix Operations, Inverse Matrix, Factorization
sections: 2.4, 2.5, 2.6, 2.7

Week 4 (Oct 2): Transpose, Nullspace
sections: 2.7, 3.1, 3.2
Midterm 1. Friday, Oct 6
Practice Problems

Week 5 (Oct 9): Rank, Ax=b, Basis and dimension
sections: 3.3, 3.4, 3.5,

Week 6 (Oct 16): Dim of four subspaces, orthogonality, projection
sections: 3.6, 4.1 , 4.2

Week 7 (Oct 23): Determinants, Eigenvalue and Eigenvector definition
sections: 5.1 , 5.2, 6.1
Midterm 2. Friday, Oct 27
Practice Problems

Week 8 (Oct 30): Diagonalization, SVD
sections: 6.2, 6.7

Week 9 (Nov 6): Graphs, Markov Chain
sections: 8.2, 8.3

Week 10 (Nov 13): PCA, Statistics Application
sections: 8.6

Final Practice Problems

Accessibility Needs

Students with disabilities who may need disability-related academic adjustments and services for this course are encouraged to see me privately as early in the term as possible. Students requiring disability- related academic adjustments and services must consult the Student Accessibility Services office (Carson Hall, Suite 125, 646-9900). Once SAS has authorized services, students must show the originally signed SAS Services and Consent Form and/or a letter on SAS letterhead to me. As a first step, if students have questions about whether they qualify to receive academic adjustments and services, they should contact the SAS office. All inquiries and discussions will remain confidential.

Religious Observance

Dartmouth has a deep commitment to support students’ religious observances and diverse faith practices. 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 me as soon as possible—before the end of the second week of the term at the latest—to discuss appropriate course adjustments.

The Academic Honor Principle

Academic integrity is at the core of our mission as mathematicians and educators, and we take it very seriously. We also believe in working and learning together. Cooperation on homework is permitted and encouraged, but if you work together, try not take any paper away with you—in other words, you can share your thoughts (say on a blackboard), but try to walk away with only your understanding. In particular, you must write the solution up individually, in your own words. This applies to working with tutors as well: students are welcome to take notes when working with tutors on general principles and techniques and on other example problems, but must work on the assigned homework problems on their own. Please acknowledge any collaborators at the beginning of each assignment. On exams, you may not give or receive help from anyone. Exams in this course are closed book, and no notes, calculators, or other electronic devices are permitted. Plagiarism, collusion, or other violations of the Academic Honor Principle will be referred to the Committee on Standards.