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.
|Full Year||Assessed by end of Spring Semester|
Prerequisites: A-level Mathematics (normally grade B or above) or equivalent.
|G11ACF||Analytical and Computational Foundations|
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:
|Activity||Number Of Weeks||Number of sessions||Duration of a session|
|Lecture||22 weeks||2 per week||1 hour|
Method of Assessment:
|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|
Dr R Tew
Professor I Dryden
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.
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.
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.
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
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