vcc.ca
MATH 1221: Applied Linear Algebra
Effective date
September 2015
Department
UT Computing Science&Software
School
Arts and Sciences
Description
This course introduces students to linear equations, matrices, determinants, vector spaces and linear transformations and bases. The course also includes complex numbers, eigenvalues and eigenvectors; diagonalization as well as inner products and orthogonality; least squares problems. Applications involving matrix and vector calculations are emphasized.
Credits
3.0
Year of study
1st Year Post-secondary
Prerequisites
MATH 1100 with a C-.
Corequisites
None
Course Learning Outcomes
Upon successful completion of this course, students will be able to:
- Perform vector operations and calculate vector products
- Solve systems of linear equations
- Perform matrix operations
- Write a system of equations in matrix-vector form
- Identify subspaces of Rn, dimension of subspaces, and the rank of a matrix
- Calculate determinants using row, column and expansion operations
- Perform operations using complex numbers
- Computer complex eigenvalues and eigenvectors using the Power Method
- Model various application problems from different sciences using Markov chains
- Construct the matrix of a linear transformation
- Prove algebraic statements concerning linear transformations
- Find the kernel, range and rank of a linear transformation
- Perform diagonalization and compute eigenvalues and eigenvectors
- Calculate inner product, length, and conduct orthogonal projections
- Conduct matrix orthogonalization using the Gram-Schmidt method
- Solve least-square problems
Prior Learning Assessment & Recognition (PLAR)
None
Hours
Lecture, Online, Seminar, Tutorial: 60
Total Hours: 60
Total Hours: 60
Instructional Strategies
Lectures
Grading System
Letter Grade (A-F)
Passing grade
D
Evaluation Plan
|
Type |
Percentage |
Assessment activity |
|
Assignments |
30 |
|
|
Midterm Exam |
35 |
|
|
Final Exam |
35 |
|
Course topics
- Vectors
- Systems of Linear Equations
- Matrices
- Linear Transformations
- Determinants
- Complex Numbers
- Eigenvalues and Eigenvectors
- Subspaces of R^n
- Orthogonality
Notes:
- Course contents and descriptions, offerings and schedules are subject to change without notice.
- Students are required to follow all College policies including ones that govern their educational experience at VCC. Policies are available on the VCC website at:
https://www.vcc.ca/about/governance--policies/policies/. - To find out if there are existing transfer agreements for this course, visit the BC Transfer Guide at https://www.bctransferguide.ca.