工程專業學生的矩陣數學：準備好迎接大學第一年！

In this 12 week course we will cover the basics of matrix math (system of linear equations or matrices). This course will cover about 1/2 of the content in a first year Linear Algebra college course in an Engineering program. Students entering a STEM college program will benefit from taking this course! It will equip students with strong foundations required to tackle first year of college. 

This course assumes knowledge of basic algebra including linear equations, and isolating for variables (11th grade level). 

We will cover the following weekly topics:

Week 1
- Recap of linear equations
- Recap of solving systems of linear equations (substitution and elimination)

Week 2
- Intro to matrices
- Converting a system of equations to a matrix form

Week 3
-  Matrix operations (adding, subtracting, multiplication)

Week 4
- Matrix inverse
- Isolating for variables involving matrices 

Week 5
- Row reduction (known as Gaussian Elimination)

Week 6
- Solutions to systems of equations (one solution, infinite solutions, no solutions)

Week 7
- Matrix transpose and trace
- Special matrices (diagonal, triangular)

Week 9
- Calculating inverses

Week 10
- Calculating determinates

Week 11
* Using Cramer's Rule to solve matrices

Week 12
- Applications of matrices (real world examples)

Each class will include:
* 5 - 10 minute recap/homework review/questions
* 30 minute interactive lecture where students will learn the concepts
* 15 - 20 minute of working time 

Students may complete classwork as homework for extra practice but this is not mandatory. 

The class will include a combination of PowerPoint plus interactive whiteboard work using  delivered over Zoom. Students are expected to participate throughout the class by asking questions, taking notes, and solving questions independently! 

If students are interested in this topic and wish to continue learning, they should enroll in Vector Spaces for Engineering Students : Get Ready to Crush First Year of College!