Course

Credit Type:
Course
ACE ID:
SDCM-0253
Version:
1
Organization's ID:
Math 301
Organization:
Study.com, LLC
Location:
Online
Length:
Self-paced. 10 weeks (30 hours)
Minimum Passing Score:
70
ACE Credit Recommendation Period:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Upper-Division Baccalaureate 3 Linear Algebra
Description

Objective:

By the end of this course, you will be able to apply fundamental concepts of linear algebra, including vector spaces, linear transformations, determinants, and eigenvalues, to solve mathematical problems, construct proofs, and analyze real-world applications in engineering, computer science, and related fields.

Learning Outcomes:

  • Solve linear systems using Gaussian elimination.
  • Apply linear algebra to modeling data.
  • Classify transformations as one-to-one or onto.
  • Represent linear transformations using matrices.
  • Analyze reduced row echelon form of matrices.
  • Analyze vector spaces and spanning sets.
  • Solve least squares problems for data fitting.

General Topics:

  • Introduction to Systems of Linear Equations Gaussian Elimination and Row Operations Row Echelon and Reduced Row Echelon Form Matrix Algebra and Inverses Vectors, Spanning Sets, and Linear Independence Subspaces, Basis, and Dimension Linear Transformations and Matrix Representations One-to-One and Onto Transformations Determinants and Matrix Invertibility Eigenvalues and Eigenvectors Least Squares and Data Fitting Applications of Linear Algebra in Modeling
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials

Methods of Assessment:

  • Examinations
  • Quizzes
Supplemental Materials
Equivalencies

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