Module IEA-1001:
Mathematics 1
Module Facts
Run by School of Computer Science and Electronic Engineering
10 Credits or 5 ECTS Credits
Semester 1
Organiser: Mr Derek Holland
Overall aims and purpose
To build confidence in the important mathematical ideas and processes needed in Engineering.
Course content
•Arithmetic: Manipulation of integer and fractional formulae. Decimal expansions. Approximations. Significant figures. Operator precedence.
•Algebra: Powers and percentages. Scientific notation. Calculation of and simplification of algebraic formulae. Calculations with simple scientific formulae.
•Functions: Evaluation and graphs. Sine, Cosine and exponential function. Logarithms.
•Solution of Simultaneous equations: Solution of two coupled linear equations. One linear equation and one quadratic equation.
•Partial Fractions: Proper and improper fractions. Polynomial division. Partial Fractions.
- Number Systems
- Integers, rationals and real numbers.
- Fractions ↔ infinite decimal expansions.
- j = √( -1), solving quadratic equations.
- Complex arithmetic; Argand diagram.
- Revision of trigonometric functions.
- Complex functions: bilinear; exp; log.
- exp(jθ) = cos(θ) + j.sin(θ).
- De Moivre’s theorem: n-th roots. (E1)
Learning outcomes mapped to assessment criteria
threshold 40% |
good 60% |
excellent 70% |
|
---|---|---|---|
Correctly use the fundamental rules of arithmetic. |
Demonstrate an appropriate level of technical skill in the manipulation of mathematical formulae according to the rules and algorithms appropriate to their use. | Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures | Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation. |
Manipulate algebraic expressions with confidence. |
Demonstrate an appropriate level of technical skill in the manipulation of mathematical formulae according to the rules and algorithms appropriate to their use. | Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures | Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation |
Manipulate algebraic fractions. |
Demonstrate an understanding of mathematical concepts by attempting to carry out the correct mathematical calculations according to instruction. | Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures | Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation |
Understand and use functions. |
Demonstrate an appropriate level of technical skill in the manipulation of mathematical formulae according to the rules and algorithms appropriate to their use. | Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures | Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation |
Solve simple systems of simultaneous equations. |
Demonstrate an understanding of mathematical concepts by attempting to carry out the correct mathematical calculations according to instruction. | Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures | Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation |
Assessment Methods
Type | Name | Description | Weight |
---|---|---|---|
Examination | 60 | ||
In-class tests | 40 |
Teaching and Learning Strategy
Hours | ||
---|---|---|
Lecture | 2 x 2 hour lectures over 12 weeks |
48 |
Private study | Self Study |
52 |
Transferable skills
- Numeracy - Proficiency in using numbers at appropriate levels of accuracy
- Exploring - Able to investigate, research and consider alternatives
- Information retrieval - Able to access different and multiple sources of information
Subject specific skills
- Solve problems logically and systematically;
- Access and synthesize information and literature sources;
- Analyse and display data using appropriate methods and mathematical techniques;
Pre- and Co-requisite Modules
Pre-requisite of:
Courses including this module
Compulsory in courses:
- W3H6: BA Music and Electronic Engineering year 1 (BA/MEE)
- H64B: BSc Computer Sys Engineering (4yr with Incorp Foundation) year 1 (BSC/CSE1)
- H603: BSc Computer Systems Engineering year 1 (BSC/CSENG)
- H6W3: BSc Electronic Engineering and Music year 1 (BSC/EEM)
- H611: BSc Electronic Engineering year 1 (BSC/ELE)
- H63B: BSc Electronic Engineering (4yr with Incorp Foundation) year 1 (BSC/ELE1)