Tips and Instructions
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
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
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:
Week 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
Week 2: Linear transformations
Linear transformations
The matrix of a linear transformation
The inverse of a linear transformation
Week 3: Eigenvalues and eigenvectors
Eigenvalues and eigenvectors
The eigenvalue equation
Diagonalization
Week 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:
Homework assignments: 20%
Quizzes: 30%
Final exam: 50%
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.
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 Change requests shall be entertained after Grades have been finalized by the Grader.
Instructor: Waqas Ali Azhar (waqas.azhar@lums.edu.pk)
Class Schedule: Mon-Fri 2:00-4:00 PM SBASSE 10-301
Office Hours: 4:00-5:00 PM SSE Mathematics Department 9-B-130.
TA Office Hours: TBA