Linear Algebra
Linear Algebra Online High School Course
COURSE LENGTH:
Half Year (15 Sessions)
Course Overview
The course is an advanced course on Linear Algebra
The course is a half course (there are 15 synchronous sessions)
The course will seek to cover 5 chapters. Each chapter has about 6 subsections for a total of 24 sub sections. There will need to be about 1-2 subsections read per class. (most are approximately 10 pages)
The course is in a semi-flipped style–having students learn and practice skills before synchronous session so we can spend the majority of session time on the understanding of the material and applications
Students will have two homeworks on Pearson MyLab per synchronous session. The first homework, to be done prior to the synchronous session, focuses on computations. The second homework, to be done following the synchronous session, focuses on conceptual understanding and communication
Students will have assessments for each chapter. The assessments will test mastery of computation, communication, and applications no assessment for chapter 3
Students taking this course are expected to have a strong mathematical background and have taken the equivalent of BC Calculus. The class will push students to think critically about conceptual problems and prior knowledge of vectors will be of use but not required.
Materials:
Textbook
Linear Algebra and Its Applications, 6th edition
ISBN-13: 9780136880929
Credits: Cover image by Alksentrs
LEARNING OBJECTIVES:
What content does the course teach?
Vectors and Matrices
Vector and Matrix Operations
Linear Independence and Dependence of Vectors
Homogeneous and Nonhomogeneous systems
Determinants and Invertibility of Matrices
Vector Spaces and Subspaces
Eigenvectors and Eigenvalues
Diagonalization
What specific essential skills does the course teach?
Communication using mathematical language
Matrix manipulation
Multidimensional thinking
Geometric interpretations of multidimensional spaces
What should students be able to do having completed the course?
Prepared to take more rigorous proof courses at the undergraduate level
Craft mathematical arguments
Mathematical proof writing