Catalogue of Modules, University of Nottingham

G11LMA Linear Mathematics
(Last Updated:08 April 2013)

Year  13/14

Total Credits: 20

Level: Level 1

Target Students:  Single Honours and Joint Honours students from the School of Mathematical Sciences. Mathematical Physics students.  Available to JYA/Erasmus students.

Taught Semesters:

SemesterAssessment
Full Year Assessed by end of Spring Semester 

Prerequisites: A-level Mathematics (normally grade B or above) or equivalent.

Corequisites:  

MnemTitle
G11ACF Analytical and Computational Foundations 
G11CAL Calculus 

Summary of Content:  The module introduces students to many concepts and techniques of mathematics that will be used in subsequent modules. Firstly the basic concepts of complex numbers, vector algebra and matrix algebra are established. Then these ideas are extended to vector spaces, linear transformations and inner product spaces. Throughout the emphasis is on developing techniques that are widely applicable.

Method and Frequency of Class:

ActivityNumber Of WeeksNumber of sessionsDuration of a session
Lecture 22 weeks2 per week1 hour

Activities may take place every teaching week of the Semester or only in specified weeks. It is usually specified above if an activity only takes place in some weeks of a Semester

Further Activity Details:
Two lectures per week plus problem classes and tutorial support.

Method of Assessment: 

Assessment TypeWeightRequirements
Exam 1 80 2 hour 30 min written examination 
Inclass Exam 1 (Written) 10 Inclass test 1 
Inclass Exam 2 (Written) 10 Inclass test 2 

Convenor: 
Dr R Tew
Professor I Dryden

Education Aims:  

  • To give a concrete introduction to linear mathematics and associated techniques.
  • To develop skills, competency and confidence in using the range of techniques.
  • To consolidate pre-university knowledge of the techniques of linear mathematics.

    Learning Outcomes:  

    A student who completes this module successfully should be able to:

    Knowledge and understanding

    carry out calculations using complex numbers;
    use vector methods in geometry;
    manipulate matrices and compute determinants;
    solve systems of linear equations;
    calculate eigenvectors and eigenvalues;
    apply Gram-Schmidt orthogonalisation;
    apply elementary results concerning vector spaces, linear transformations and inner product spaces;
    interpret results geometrically.

    Intellectual skills
    apply complex ideas to familiar and to novel situations;
    work with abstract concepts and in a context of generality;
    reason logically and work analytically;
    perform with high levels of accuracy;
    transfer expertise between different topics in mathematics.

    Professional skills
    select and apply appropriate methods and techniques to solve problems;
    justify conclusions using mathematical arguments with appropriate rigour;
    communicate results using appropriate styles, conventions and terminology.
    use appropriate IT packages effectively.

    Transferable skills
    communicate with clarity;
    work effectively, independently and under direction;
    analyse and solve complex problems accurately;
    make effective use of IT;
    apply high levels of numeracy;
    adopt effective strategies for study.

    Offering School:  Mathematical Sciences

    Use the Back facility of your browser to return to the previous page.

    Module Catalogue Search for another module

    [UoN Welcome Page] Return to The University of Nottingham Welcome Page