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COMP1021: MATHEMATICS FOR COMPUTER SCIENCE

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Type	Open
Level	1
Credits	20
Availability	Available in 2023/24
Module Cap
Location	Durham
Department	Computer Science

Prerequisites

A-level Mathematics Grade A.

Corequisites

COMP1051 Computational Thinking

Excluded Combinations of Modules

MATH1551 Maths for Engineers and Scientists

Aims

To introduce students to fundamental concepts from linear algebra, calculus and mathematics that are necessary for and relevant to modern Computer Science.
To introduce students to the application of linear algebra, calculus and mathematics to topics within mainstream Computer Science.

Content

Sets, functions and relations
The notion and methods of mathematical proof
Matrix algebra, determinants, and linear systems
Vector spaces, linear dependence, basis and dimension
Linear transformations, eigenvectors, and eigenvalues
Matrix decompositions
Sequences, limits, and continuity
Differentiation and integration
Series
Differential equations

Learning Outcomes

Subject-specific Knowledge:

On completion of the module, students will be able to demonstrate:
an understanding of the fundamental notions from linear algebra, calculus and mathematics and their relevance to mainstream Computer Science
an understanding of the concept of a mathematical proof
an understanding of mathematical notation.

Subject-specific Skills:

On completion of the module, students will be able to demonstrate:
an ability to apply methods and techniques from linear algebra, calculus and mathematics
an ability to reason with and and apply methods of mathematical proof
an ability to use mathematical notation.

Key Skills:

On completion of the module, students will be able to demonstrate:
an ability to apply mathematical reasoning to practical scenarios
an ability to formalise general arguments.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

Lectures enable the students to learn new material relevant to linear algebra, calculus and mathematics, as well as their applications in Computer Science
Practical classes enable the students to put into practice learning from lectures and strengthen their understanding through application.
Formative and summative assessments assess the application of methods and techniques, and examinations in addition assess an understanding of core concepts.

Teaching Methods and Learning Hours

Activity	Number	Frequency	Duration	Total	Monitored
lectures	44	2 per week	1 hour	44
practical classes	21	1 per week	2 hours	42	Yes
preparation and reading				114
total				200

Summative Assessment

Component: Examination		Component Weighting: 66%
Element	Length / Duration	Element Weighting	Resit Opportunity
Examination	2 hours	100	Yes

Component: Coursework		Component Weighting: 34%
Element	Length / Duration	Element Weighting	Resit Opportunity
Practical work		100	Yes

Formative Assessment

Example formative exercises are given during the course. Additional revision lectures may be arranged in the module's lecture slots in the 3rd term.

More information

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