• Choose a textbook. There are many good textbooks on linear algebra. Some popular choices include:

  • Linear Algebra with Applications by Gilbert Strang

  • Linear Algebra Done Right by Sheldon Axler

  • Elementary Linear Algebra by Howard Anton

  • Linear Algebra with Applications by Keith Nicholson

• • Linear Algebra by Jim Hefferon

• Check your syllabus. A syllabus will provide you with a roadmap for the course. It will list the topics that will be covered, the assignments that will be due, and the grading rubric.

• Set up a study schedule. It is important to set aside time each week to study linear algebra. Make a schedule that works for you and stick to it.

• Join a study group. Studying with others can be a great way to learn linear algebra. Find a few classmates who are also taking the course and form a study group.

• Attend office hours. If you are struggling with a concept, don't be afraid to ask for help. Your professor or TA will be happy to help you understand the material.

• Practice, practice, practice. The best way to learn linear algebra is to practice. Do the assigned problems, and try to find additional problems to practice.

• Don't give up. Linear algebra can be challenging, but it is also a rewarding subject. Don't give up if you find it difficult. Keep practicing and you will eventually master the material.

Here are some additional tips for taking a summer linear algebra course:

• Start early. Don't wait until the last minute to start studying. Give yourself plenty of time to learn the material.

• Take breaks. Don't try to study for hours on end. Take breaks every 20-30 minutes to avoid getting burned out.

• Reward yourself. When you reach a milestone, reward yourself with something you enjoy. This will help you stay motivated.

• Have fun! Linear algebra can be a lot of fun. Enjoy the challenge and the opportunity to learn a new subject.

Course Description:

This course is an introduction to the basic concepts of linear algebra. Topics covered include:

• Vectors and matrices

• Systems of linear equations

• Determinants

• Eigenvalues and eigenvectors

• Linear transformations

Prerequisites:

• Calculus I 

Course Objectives:

Upon completion of this course, students will be able to:

• Understand the basic concepts of linear algebra

• Solve systems of linear equations

• Calculate determinants

• Find eigenvalues and eigenvectors of matrices

• Understand linear transformations

Course Schedule:

The course will meet for 120 minutes per day, 5 days a week for 4 weeks. The following is a tentative schedule of topics:

Module 1: Vectors, matrices and determinants

• Introduction to vectors and matrices

• Operations on vectors and matrices

• Linear equations

• Determinants

• Cramer's rule

• The sign of a determinant

Module 2: Vector Spaces

• Vector spaces and subspaces

• Linear dependence/ independence

• Basis

Module 3: Linear transformations

• Linear transformations

• The matrix of a linear transformation

• The inverse of a linear transformation

• Fundamental subspaces

• Least squares

Module 4: Eigenvalues and eigenvectors

• Eigenvalues and eigenvectors

• The eigenvalue equation

• Diagonalization

Module 4: Introduction to Differential Equations

• Types of ODEs

• First order ODEs and their solution

• System of linear ODEs

Grading:

The course will be graded as follows:

• Assignments: 15%

• Quizzes: 25%

• Mid-Term: 30

• Final exam: 30%

Textbook:

The required textbook for this course is:

• Linear Algebra with Applications, 4th Edition by Gilbert Strang.

• Elementary Linear Algebra, 13th Edition by Howard Anton.

• Linear Algebra with Applications by Keith Nicholson

• Linear Algebra by Jim Hefferon

Additional Resources:

• Linear Algebra Done Right, 3rd Edition by Sheldon Axler.

• Paul's Online Math Notes: Linear Algebra.

Recommended Reading:

• Linear Algebra and Its Applications, 3rd Edition by Jim Demmel.

• Matrix Analysis and Applied Linear Algebra, 2nd Edition by Roger A. Horn and Charles R. Johnson.

Accommodations:

• Assignments are due within a certain time period and there will be no extensions in the deadlines.

• There are no make-up quizzes. If there is an OSA approved petition, you will be assigned an average based on your other quizzes.

• Grading will be relative and there is a minimum threshold of 30%. There will be an F grade below 30%.

• No Grade Reduction request shall be entertained.