Mathematics Tutorial

Cod y Modiwl
MA01020
Teitl y Modiwl
Mathematics Tutorial
Blwyddyn Academaidd
2026/2027
Semester
Semester 2 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:

  1. Solve polynomials of small degree; obtain and use relations between the roots and coefficients of polynomials.
  2. Simplify algebraic expressions and inequalities.
  3. Compute with trigonometric functions and use trigonometric identities.
  4. Apply basic set operations; explain the difference between integers, rational and irrational numbers.
  5. Manipulate vectors and evaluate their products. Translate between Cartesian and polar coordinates.
  6. Represent complex numbers in different forms and apply algebraic operations to them.
  7. Define a function and its domain and range; sketch graphs of simple functions.
  8. Determine properties of sequences and series
  9. Manipulate expressions involving the exponential and logarithmic functions.
  10. 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