Mathematics (MATH) 270

Linear Algebra I (Revision 6)

MATH 270 Course website

Revision 6 is closed for registrations, replaced by current version

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Mathematics Diagnostic Assessment. This online test contains 70 questions that will help you assess your mathematical skills. Based on your score we will recommend which Athabasca University mathematics course you are likely ready to take successfully.

Delivery Mode: Individualized study online

Credits: 3

Area of Study: Science

Prerequisite: None

Centre: Centre for Science

MATH 270 has a Challenge for Credit option.

Course website

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MATH 270 is suggested for students in the Science and Administrative Studies programs. The course covers systems of linear equations, matrices, vectors in two and three dimensions, linear vector spaces, and applications of linear algebra including the simplex method.


  • Unit 1: Systems of Linear Equations
  • Unit 2: Matrix Arithmetic
  • Unit 3: Elementary Matrices and the Matrix Inverse
  • Unit 4: Determinants I: Cofactor Expansion and Cramer's Rule
  • Unit 5: Determinants II: Further Properties
  • Unit 6: Vectors in Two and Three Dimensions
  • Unit 7: Lines and Planes in Three Dimensions
  • Unit 8: Introduction to Vector Spaces
  • Unit 9: General Vector Spaces
  • Unit 10: Linear Programming: Geometric Method


To receive credit for MATH 270, you must achieve a course composite mark of at least “D” (50 percent) with a grade of at least 50 percent on both the mid-term and final examinations.

Midterm Examination Final Examination Total
50% 50% 100%

To learn more about assignments and examinations, please refer to Athabasca University's online Calendar.

Course Materials


Anton, H. Elementary Linear Algebra, 9th ed. New York: Wiley, 2005.

Anton, H., and C. Rorres. Student Solution Manual (to accompany) Elementary Linear Algebra with Applications, 9th ed. New York: Wiley.

Anton, H., and C. Rorres. Applications of Linear Algebra with Solutions (Custom publication for Athabasca University). Mississauga, ON: Wiley, 2014. This textbook comprises Chapter 10 of H. Anton and C. Rorres Elementary Linear Algebra: Applications Version, 10th ed. New York: Wiley, 2010.

Other Materials

The online course materials include a study guide, and a student manual.

Challenge for Credit Course Overview

The Challenge for Credit process allows students to demonstrate that they have acquired a command of the general subject matter, knowledge, intellectual and/or other skills that would normally be found in a university level course.

Full information for the Challenge for Credit can be found in the Undergraduate Calendar.

Challenge Evaluation

To receive credit for the MATH 270 challenge registration, you must complete the two parts of the challenge exam and achieve a grade of at least “D”(50 percent) on both parts.

Midterm Exam Final Exam Total
50% 50% 100%

Undergraduate Challenge for Credit Course Registration Form

Athabasca University reserves the right to amend course outlines occasionally and without notice. Courses offered by other delivery methods may vary from their individualized-study counterparts.

Opened in Revision 6, July 30, 2009.

View previous syllabus