Department of Mathematics and Computer Studies
Undergraduate Courses — Outline Module Content
First Year B.A. — Autumn
MH4731 — Elementary Number Theory ⇒ Full Syllabus
Representation of numbers, mathematical induction, divisibility, prime numbers, Euclid's Algorithm, congruences.
First Year B.A. — Spring
MH4722 — Introduction to Geometry ⇒ Full Syllabus
Angle, distance, length, area, coordinates, lines, triangles and circles, geometric constructions, congruence and similarity.
Second Year B.A. — Autumn
MH4713 — Linear Algebra ⇒ Full Syllabus
Vectors and vector spaces, inner products, matrices, linear equations, linear mappings, linear transformations.
MH4763 — Calculus I: Differentiation ⇒ Full Syllabus
Functions, slope, Newton quotient, derivative, limits, differentiation rules, trigonometric functions, logarithms, exponential functions, continuous functions, completeness of the real numbers, Intermediate Value Theorem, inverse functions and their derivatives.
Second Year B.Ed. (Arts Elective) — Autumn
MH4753 — Numbers ⇒ Full Syllabus
The number system hierarchy, key algebraic properties of addition and multiplication, integers, divisibility, elementary number theory, rational and irrational numbers, place value, other number bases.
Second Year B.A. — Spring
MH4724 — Introduction to Statistics ⇒ Full Syllabus
Description of sample data; graphical representation, mean and standard deviation, probability theory, random variables, sampling theory, estimation, hypothesis testing, correlation and regression, testing methods.
MH4764 — Calculus II: Integration ⇒ Full Syllabus
Maxima and minima, Rolle's Theorem, Mean Value Theorem, antiderivatives, Riemann sums, definite integrals, Fundamental Theorem of Calculus, Taylor's Formula.
Third Year B.A. — Autumn and Spring
OC4310 and OC4320 — Off Campus Programme
B.A. students follow the Off Campus Programme for both semesters of the third year. This is comprised of international study placement and / or relevant work placement. Mathematics students, who wish to study abroad, are advised by department staff on the availability of appropriate courses. Guidance is also provided for those who wish to use the opportunity to begin research work for final year projects in Mathematics.
Third Year B.Ed. (Arts Elective) — Autumn
MH4715 — Measure ⇒ Full Syllabus
Limits of sequences and series; functions; sketching graphs; limits of functions; rate of change; derivatives of functions; measure of area and volume; integration; Fundamental Theorem of Calculus.
Third Year B.Ed. (Arts Elective) — Spring
MH4736 — Statistics ⇒ Full Syllabus
Description of sample data; probability theory; random variables; probability distributions; sampling theory; hypothesis testing; correlation and regression; testing methods.
Fourth Year B.A. — Autumn
MH4754 — Multivariable Calculus ⇒ Full Syllabus
Real vector spaces of dimension n, lines and planes, curves and surfaces. Calculus of several variables, continuity and derivative. Double and line integrals, surface and volume integrals. Introduction to ordinary and partial differential equations.
MH4757 — Euclidean and non-Euclidean Geometry ⇒ Full Syllabus
Angle, distance, length, area; coordinates; geometric constructions; symmetry; vectors and dot product; non-euclidean geometry.
MH4747 — Final Year Project Option
An opportunity for personal work / study, with limited supervision, on an approved mathematical topic or computing assignment of special interest to the student; an opportunity to develop research and presentation skills and / or computing expertise.
Fourth Year B.A. — Spring
MH4728 — Abstract Algebra ⇒ Full Syllabus
Groups, subgroups, Lagrange's theorem. Binary codes. Conjugacy, normal subgroups, permutation groups. Rings, subrings. Integral domains, congruences. Fields.
MH4738 — Computational Mathematics ⇒ Full Syllabus
Learn to use a computer algebra system to study problems from various areas of undergraduate mathematics.
MH4748 — Final Year Project Option
An opportunity for personal work / study, with limited supervision, on an approved mathematical topic or computing assignment of special interest to the student; an opportunity to develop research and presentation skills and / or computing expertise.
Fourth Year B.Ed. (Arts Elective) — Spring
MH4758 — Geometry ⇒ Full Syllabus
lines, angles, circles, area, geometric constructions, transformations, congruence, similarity, triangles, polygons, special points in triangles, Non-Euclidean geometry.
MH4768 — Mathematical Problem Solving ⇒ Full Syllabus
Techniques of mathematical problem solving, problem solving as a tool of mathematics instruction, solving problems, how to write a solution or a proof.
