MATH10260 Linear Algebra for Engineers

Academic Year 2021/2022

1. Complex numbers: Algebra of complex numbers, modulus and argument, polar form, complex roots of real polynomials occur in complex conjugate pairs, exponential with complex argument, Euler's formulae for elementary trigonometric function. 2. Systems of linear equations. 3. Matrices and determinants: Addition and multiplication of matrices, rank of a matrix, inverse of a matrix, determinants by row and column methods. 4. Eigenstructure: Eigenvalues and eigenvectors; linear independence; diagonalisation of a matrix 5. Vectors and three-dimensional geometry; Vectors in three-dimensional space, scalar/dot and vector/cross product, lines and planes in three-dimensional space. 6. Vector spaces

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Curricular information is subject to change

Learning Outcomes:

On successfully completing this module a student will be able to:a) Calculate with complex numbers, solve polynomial equations involving complex numbers. b) Solve systems of linear equations by echelon techniques. c) Find the inverse and rank of a matrix. d) Compute determinants. e) Find eigenvalues and eigenvectors. f) Compute scalar and vector products. Find equations of lines and planes using vector methods. g) Diagonalise matrices.

Student Effort Hours: 
Student Effort Type Hours
Lectures

36
Tutorial

10
Autonomous Student Learning

60
Total

106
Approaches to Teaching and Learning:
Lectures, tutorials. 
Requirements, Exclusions and Recommendations
Learning Requirements:

At least Leaving Certificate H4 or (or equivalent)


Module Requisites and Incompatibles
Incompatibles:
ECON10030 - Intro Quantitative Economics, MATH10010 - Discrete Mathematics (BAgrSc), MATH10030 - Maths for Business, MATH10050 - Linear Algebra & Geom, MATH10090 - Matrices & Vectors, MATH10270 - Linear Algebra in the Math Sci, MATH10280 - Linear Algebra in the Phys.Sci, MATH10290 - Linear Algebra for Science, MATH10340 - Linear Algebra 1 (MPS), MATH20130 - Fund. Actuarial Mathematics I, MST10030 - Linear Algebra I, MST20050 - Linear Algebra II


 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Continuous Assessment: Tutorial, Homework, and continuous WeBWorK assignments. Varies over the Trimester n/a Other No

25
Continuous Assessment: WeBWorK-based midterm assignment Week 7 n/a Other No

25
Continuous Assessment: WeBWorK-based end of trimester assignment Week 12 n/a Other No

50

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

• Group/class feedback, post-assessment

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