MATH10390 Linear Algebra (Online)

Academic Year 2021/2022

Linear Algebra (Online) is part of the Professional Certificate in Mathematics and Statistics. In this module, the student will be introduced to fundamental concepts in linear algebra, including

1. matrix arithmetic, determinants of n x n matrices, their computation for small n, the adjugate method of finding inverses, and symmetric and orthogonal matrices;
2. vectors in n-dimensional Euclidean space, vector arithmetic, scalar products, the Cauchy-Schwarz inequality and angles between vectors, and the action of matrices on vectors;
3. solutions of systems of linear equations by Gaussian elimination, connections between matrices and linear systems, matrix rank;
4. orthonormal lists of vectors, orthonormal bases and coordinate systems;
5. eigenvalues and eigenvectors of n x n matrices, their computation for small n, symmetric matrices, and
6. quadratic forms and matrix norms.

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Curricular information is subject to change

Learning Outcomes:

On successful completion of this module, the student is expected to be able to understand the definitions, theorems and examples covered in all of the topics listed above, and carry out associated computations. These include, but are not limited to, adding and multiplying matrices; finding determinants and inverses of 2 x 2 and 3 x 3 matrices; finding scalar products and angles between vectors; computing orthogonal projections; performing elementary row operations and solving systems of linear equations; determining the coordinates of vectors with respect to orthonormal bases; finding the eigenvalues and eigenvectors of 2 x 2 and 3 x 3 matrices; diagonalising quadratic forms and evaluating matrix norms.

Students should also gain an appreciation for how such knowledge and techniques, when combined with creativity and critical thinking, can be used for complex problem solving in a numerate world.

Student Effort Hours: 
Student Effort Type Hours
Specified Learning Activities

24
Autonomous Student Learning

62
Online Learning

24
Total

110
Approaches to Teaching and Learning:
Online notes, videos, written homework and WeBWorK, discussion boards, enquiry and problem-based learning. 
Requirements, Exclusions and Recommendations

Not applicable to this module.


Module Requisites and Incompatibles
Incompatibles:
MATH10030 - Maths for Business, MATH10290 - Linear Algebra for Science, MATH10340 - Linear Algebra 1 (MPS), MST10030 - Linear Algebra I


 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Continuous Assessment: Homework and WeBWorK Throughout the Trimester n/a Standard conversion grade scale 40% No

30
Examination: Final 2-hour written examination 2 hour End of Trimester Exam No Standard conversion grade scale 40% No

70

Carry forward of passed components
No
 
Resit In Terminal Exam
Autumn Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Feedback individually to students, post-assessment
• Group/class feedback, post-assessment
• Online automated feedback

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Dr Daniele Casazza Tutor