# Modiwl IEA-1001:Mathematics 1

### Ffeithiau’r Modiwl

Rhedir gan School of Computer Science and Electronic Engineering

10 Credyd neu 5 Credyd ECTS

Semester 1

Trefnydd: Mr Derek Holland

### Amcanion cyffredinol

To build confidence in the important mathematical ideas and processes needed in Engineering.

### Cynnwys cwrs

•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)

### Cyswllt Canlyniad dysgu i Meini Prawf

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

### Dulliau asesu

Examination 60
In-class tests 40

Oriau
Lecture

2 x 2 hour lectures over 12 weeks

48
Private study

Self Study

52

• Rhifedd - Medrusrwydd wrth ddefnyddio rhifau ar lefelau priodol o gywirdeb
• Archwilio - Gallu ymchwilio ac ystyried dewisiadau eraill
• Adalw gwybodaeth - Gallu mynd at wahanol ac amrywiol ffynonellau gwybodaeth

### Sgiliau pwnc penodol

• Solve problems logically and systematically;
• Access and synthesize information and literature sources;
• Analyse and display data using appropriate methods and mathematical techniques;