Linear Algebra Syllabus & Lesson Plans
 Course type: Selfpaced
 Available Lessons: 42
 Average Lesson Length: 8 min
 New lessons are still being added

Watch a preview:
chapter 1 / lesson 1Algebra Vocabulary Terms
Course Summary
This Linear Algebra Syllabus Resource & Lesson Plans course is a fully developed resource to help you organize and teach lessons on linear algebra. You can easily adapt the video lessons, transcripts, and quizzes to take full advantage of the comprehensive and engaging material we offer. Make planning your course easier by using our syllabus as a guide.to start this course today
Try it riskfree for 30 days
6 chapters in Linear Algebra Syllabus & Lesson Plans
Course Practice Test
Check your knowledge of this course with a 50question practice test. Comprehensive test covering all topics
 Detailed video explanations for wrong answers
How It Works
You can use this linear algebra course as a template for designing and implementing your course. Here are the key components of the course and how you can use them:
 Chapters  Each chapter covers a unit of linear algebra, from algebraic expressions and the distributive property to orthonormal bases and the GramSchmidt process. Use these chapters as mile markers as you map out your course. We recommend planning to spend a week on each chapter, but you can always allocate the chapters according to the length of your specific linear algebra course.
 Lessons  Within each chapter are video lessons that further break down topics into bitesized chunks. These lessons cover single topics like diagonalization or eigenspaces. Each one is often appropriate for a single class.
 Key Terms  Within each lesson are key terms. These are emphasized on screen and in the transcript. As you develop your syllabus, these key terms help you focus on the most important learning objectives. For example, the lesson on algebra vocabulary terms includes key terms like variables, equations and coefficients.
Video Lessons
As you work on your linear algebra lesson plans, save time by incorporating video lessons from this resource. Here's how:
 Introduce Topics  Your students will be in the right mindset for understanding topics like linear dependence and independence if you begin class with a short video. It can be a jumpingoff point for a lecture, group activity or class discussion.
 Break Up Lectures  The video format, which often includes animation, helps students visualize topics like inverse matrices and higherorder determinants.
 Assign For Homework  Each lesson in the course, from introductory linear algebra to diagonalizing symmetric matrices can be assigned to your students as homework.
Transcripts
Each video lesson includes a complete transcript. You can utilize these transcripts in several ways:
 Lecture Notes  Do you need a guide as you plan a lecture, such as one on solving linear equations with literal coefficients or deriving Laplace expansions? The transcripts cover each topic in depth, with key terms highlighted for quick reference.
 Student Reading  Perhaps you'd like your students to learn about linear combinations, but you don't have class time available. Assign the transcript as extra reading.
 Study Tools  When it's time for a unit exam on matrices in linear algebra, you can point your students to the transcripts on a square matrix, equal matrices and math operations with matrices as well as related topics to help them study.
Quizzes
Each video lesson has a corresponding quiz. Here's how to use the quizzes:
 Homework  Assign a quiz to your students as homework. You'll receive an email with the results, which enables you to verify they've completed the assignment and that they've understood the material. Questions cover everything from understanding how to find multiplicative inverses to the correct use of Cramer's rule to solve linear systems.
 Tests  You can meld the material in the quizzes into your own student assessments, saving you valuable time. Need a few questions on the use of GaussJordan elimination to solve linear equations? There are plenty!
 Discussions  Jumpstart a discussion with questions like: How do I use a system of equations?
Sample Syllabus
Below is a sketch of the Linear Algebra syllabus modeled on a 6week course. This sample can be adapted based on your course schedule. Navigate the chapters and lessons for more detail.
Week  Unit  Sample of Topics Covered 

Week 1  Basic Algebra Review  Variables in algebra, applications in linear algebra, algebra vocabulary 
Week 2  Linear Equations and Systems  Solving simultaneous linear equations, intercepts and standard form, and applying the distributive property 
Week 3  Vectors in Linear Algebra  Examples of orthonormal bases, methods for orthonormalizing a set of vectors, differentiating between linear dependence and independence 
Week 4  Matrices in Linear Algebra  Defining a matrix, writing an augmented matrix, performing matrix row operations 
Week 5  Determinants in Linear Algebra  Using determinants to solve systems of linear equations in two and three variables, minor matrices and higherorder determinants 
Week 6  Eigenvalue and Eigenvector in Linear Algebra  Defining eigenvalues and eigenspaces, and determining the eigenvectors of matrices 
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn creditbyexam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Research Schools, Degrees & Careers
Get the unbiased info you need to find the right school.
Browse Articles By Category
Browse an area of study or degree level.
 Agriculture
 Architecture
 Biological and Biomedical Sciences
 Business
 Communications and Journalism
 Computer Sciences
 Culinary Arts and Personal Services
 Education
 Engineering
 Legal
 Liberal Arts and Humanities
 Mechanic and Repair Technologies
 Medical and Health Professions
 Physical Sciences
 Psychology
 Transportation and Distribution
 Visual and Performing Arts
Recommended Articles
 List of Free Online Algebra Courses and Lessons
 How Tech Can Help Teachers Create Engaging Lesson Plans
 Guided Reading Lesson Plans
 Educational Videos Help Teacher to Make Online Courses More Engaging
 Lesson Plan Design Courses and Classes Overview
 How Teachers Use Video Lessons to Help ADHD Students Learn
 List of Free Online Chinese Language Courses and Video Lessons
 Lesson Plans for Teachers
 Art Lesson Plans
 ELA Lesson Plans
 Answers and detailed explanations to each question
 Video lessons to explain complicated concepts