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May 16, 2024
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MA 2831 - Linear Algebra for Math Majors I3 lecture hours 0 lab hours 3 credits
Course Description
Topics include the use of elementary row operations to solve systems of linear equations, linear independence, matrix operations, inverse of a matrix, linear transformations, vector spaces and subspaces, column and null spaces, dimension and rank, coordinate systems and change of bases, determinants of matrices and their properties. (prereq: MA 183 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• learn the basic theory of linear algebra
• apply the basic row operations to solve systems of linear equations
• solve a matrix equation and a vector equation
• understand the concept of linear dependence and independence
• understand matrix transformations and linear transformations and the relationship between them
• perform all matrix operations, be able to find the inverses of matrices
• understand concepts of vector space, subspace and basis and learn how to change bases
• find the column and null spaces of a matrix and their dimensions, and the rank of a matrix
Prerequisites by Topic
• No prerequisites by topic appended
Course Topics
• Introduction to systems of linear equation and solving them using matrices, row operations (6 classes)
• Vectors and matrix equations (4 classes)
• Matrix operations (4 classes)
• Vector spaces including bases, dimension, rank and nullity ( 5 classes)
• Linear independence (3 class)
• Matrix transformations, linear transformations and their relations (4 classes)
• Reviews and exams (4 classes)
Coordinator
Yvonne Yaz
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