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First page of SMA1102 Linear Algebra Syllabus

SMA1102 Linear Algebra Syllabus

View the SMA1102 Linear Algebra Applied Mathematics National University of Science and Technology syllabus to understand course topics, learning outcomes, assessment requirements, and exam guidance.

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Subject
Mathematics
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Syllabus
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About this syllabus

This is the Mathematics syllabus. It sets out what the examination covers.

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Text from the first page

National University of Science and Technology Department of Applied Mathematics

Name of Course  |  : Linear Algebra (SMA1102)
Lecturers  |  : Mrs Mthombeni, Mr. B. Zhou
Office  |  : AF 4, Admin Building
e-mail address  |  : martina.mthombeni@nust.ac.zw
e-mail address  |  : brian.zhou@nust.ac.zw

Course Description
This course aims at providing the student with the basic concepts of Linear Algebra which are motivated by Engineering Sciences applications. The objective of this course, therefore is to present mathematical theories that Engineering Scientists have successfully used so far in a manner that highlights the historical and intellectual connections between the applications in Mathematics, Physics and Engineering.

Course Content
1. Vector Algebra
- Scalar and vector product
- Collinear
- Coplanar vectors
- Applications(equations of lines and planes)
2. Matrices
- Matrix definitions
- Products and sums
- Rank and Inverse
- Determinant- Definition, properties and evaluation
- Elementary Row Operations (Gauss Elimination and Gauss-Jordan Elimination)
- Systems of Equations
- Homogeneous and non-homogeneous systems
- Consistency
- Cramer's rule
- Eigen values and vectors

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