Mathematics Tutorial

Cod y Modiwl: MA01000
Teitl y Modiwl: Mathematics Tutorial
Blwyddyn Academaidd: 2026/2027
Semester: Semester 1 Dysgwyd dros 2 semester
Cyd-gysylltydd y Modiwl: Dr Alexander Pitchford
Rhestr Ddarllen: Gweld ar Aspire
Staff Eraill sy'n Cyfrannu: Mrs Rosemary Rogers; Dr Alexander Pitchford; Professor Simon Cox

Dulliau Asesu

Math o Asesiad	Manylion Asesiad	Cyfran
Asesiad Semester	Coursework: Mark based on attendance at tutorials and submitted assignments	30%
Arholiad Semester	Written Exam: 2 Awr	70%
Asesiad Ailsefyll	Supplementary Assessment: Blackboard Test.	30%
Arholiad Ailsefyll	Supplementary Written Exam: 2 Awr	70%

Canlyniadau Dysgu

Wedi cwblhau'r modiwl dylai'r myfyrwyr fedru:

Solve polynomials of small degree; obtain and use relations between the roots and coefficients of polynomials.
Simplify algebraic expressions and inequalities.
Compute with trigonometric functions and use trigonometric identities.
Apply basic set operations; explain the difference between integers, rational and irrational numbers.
Manipulate vectors and evaluate their products. Translate between Cartesian and polar coordinates.
Represent complex numbers in different forms and apply algebraic operations to them.
Define a function and its domain and range; sketch graphs of simple functions.
Determine properties of sequences and series
Manipulate expressions involving the exponential and logarithmic functions.
Prove simple theorems about numbers.

Disgrifiad cryno

The module consists of a weekly two hour problem class, throughout both
semesters, at which students are required to work, individually or in groups, on
set problems. Difficulties arising in other Year 0 mathematics modules will be
discussed and resolved.

Nod

The aims of this module are to increase awareness in the technical skills
associated with basic mathematics; to develop analytical skills; to develop an
appreciation of the need for logical order and precision; to increase confidence
in understanding and solving mathematical problems.

Cynnwys

1. BASIC ALGEBRA, SETS, INEQUALITIES. Manipulation of mathematical expressions, introduction to set theory, number sets, solving inequalities.

2. SURDS, LOGARITHMS, EXPONENTIAL FUNCTION. Simplification of surds, laws of exponentials and logarithms.

3. POLYNOMIALS. Factors and roots. Completing the square, Vieta's Theorem, Factor and Remainder Theorems.

4. TRIGONOMETRY. Trigonometric functions and identities. Graphs of trigonometric functions. Trigonometric equations.

5. FUNCTIONS AND SEQUENCES. Domain, codomain, image, composition and inverse of functions. Arithmetic and geometric sequences and series.

6. COORDINATE AND VECTOR GEOMETRY. 2D and 3D vector arithmetic. Cartesian and polar coordinate systems.

7. COMPLEX NUMBERS. Complex number representations. Real and imaginary parts, modulus and argument, De Moivre's Theorem, complex roots.

8. PROOFS. Introduction to proofs in number theory.

Sgiliau Modiwl

Math o Sgiliau	Manylion Sgiliau
Cyfathrebu	Written answers to exercises must be clearand well structured.
Datblygu personol a chynllunio gyrfa	Completion of task (assignments) to setdeadlines will aid personal development.
Datrys Problemau	The assignments will give the studentsopportunities to show creativity in findingsolutions and develop their problem solvingskills.
Gwella dysgu a pherfformiad ei hun	Students are expected to develop their ownapproach to time-management regarding thecompletion of assignments on time andpreparation between classes.
Rhifedd	Required throughout the course.
Sgiliau pwnc penodol	Broadens exposure of students to topics inmathematics.
Technoleg Gwybodaeth	Use of Blackboard

Nodau

Mae'r modiwl hwn yn cydymffurfio a FfCChC Lefel 3