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Textbook: Linear Algebra and Its Applications by David C. Lay, Steven R. Lay, and Judi J. McDonald, 6th edition
Prerequisite: Math 266 with a grade of C or better
Recommended Preparation: Get the book ahead of time and review if possible. Credit, degree applicable
College Catalog course Description:
Math 270 develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, linear transformations, and diagonalization. Selected applications of linear algebra are included.
Student Learning Outcomes (SLO)
Upon successful completion of this course, the student will be able to:
1. Apply concepts of vector spaces, subspace, basis, and dimension.
2. Describe linear transformation and relate it to matrices
3. Define and apply concepts of eigenvalues and eigenvectors
4. State and apply mathematical definitions and theorems
5. Attain further proficiency in methods of mathematical proof
6. Formulate sophisticated methods of problem solving and critical thinking using linear algebra
7. Apply linear algebra to solve problems arising in science and engineering
8. Apply linear algebra concepts such as Vector spaces in Rn, cross and dot product, basis and dimensions, and linear transformations