# 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;