Last modified: Tue 1 August 11:26:45 IST 2017

Welcome Study @ MIC St. Patrick's Campus Thurles Faculties & Departments Research & Grad School International Students

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.

<<Back to Table

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.

<<Back to Table

Second Year B.A. — Autumn

MH4713 — Linear Algebra  ⇒ Full Syllabus

Vectors and vector spaces, inner products, matrices, linear equations, linear mappings, linear transformations.

<<Back to Table

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.

<<Back to Table

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.

<<Back to Table

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.

<<Back to Table

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.

<<Back to Table

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.

<<Back to Table

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.

<<Back to Table

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.

<<Back to Table

Fourth Year B.A. — Autumn

MH4749 — Geometry  ⇒ Full Syllabus

angle, distance, length, area; coordinates; geometric constructions; symmetry; vectors and dot product; non-euclidean geometry.

<<Back to Table

MH4718 — Numerical Methods and Computing  ⇒ Full Syllabus

Number representation, Introduction to Maple, error analysis, non-linear algebraic equations, iteration, numerical integration, polynomial interpolation, numerical differentiation, systems of linear equations, ordinary differential equations.

<<Back to Table

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.

<<Back to Table

Fourth Year B.A. — Spring

MH4724 — Introduction to Statistics  ⇒ Full Syllabus

Description of sample data, probability theory, random variables, probability distributions, sampling theory, estimation, hypothesis testing, correlation and regression, testing methods. 

<<Back to Table

MH4728 — Abstract Algebra  ⇒ Full Syllabus

Groups, subgroups, Lagrange's theorem. Binary codes. Conjugacy, normal subgroups, permutation groups. Rings, subrings. Integral domains, congruences. Fields.

<<Back to Table

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.

<<Back to Table

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.

<<Back to Table

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.

<<Back to Table

Mary Immaculate College, South Circular Road, Limerick, Ireland, Tel: +35361 204300