UCC Mathematics Enrichment Programme
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Mathematics Enrichment Classes in 2011/2012 Schedule
The Irish Mathematical Olympiad 2012 – May 12th,
Western Gateway Building room 106, 10:00-13:00 (paper 1) and 14:00-17:00 (paper
2).
General Information:
Classes are held in
Lecture Theatre 107,
The European
Girls' Mathematical Olympiad (EGMO) is a mathematical problem solving
contest for female second level students. The first EGMO will take place in Cambridge, England, in April 2012. The
selection of the Irish team for the EGMO will be done in two stages: During the period February 13-February 25,
the students can hand or mail in solutions for a set of problems to be
distributed around Feb. 13. On Feb 25, a
test will be organized in each of the regional Maths Enrich centres. Please see
the schedule above.
New:
In addition to the Mathematics
Enrichment Classes, since October 1st we have started
Problem solving sessions: Saturdays,
10:00-12:30, Western Gateway Building, room 106.
Most of the participants have attended the UCC Maths Enrichment Classes in the
previous year, but all students are welcome. They can come to prepare for IrMO,
IMO or EGMO, or just for the fun of it. The main condition for attending these
sessions is willingness to do the homework!
![MC900433817[1]](index_files/image009.gif){kind=small}
Programme
Information
Mathematics
Enrichment Classes at University
Since 1987, members of the Mathematics Department
at UCC have offered Mathematics Enrichment Classes to high-achieving senior
Second Level students. These classes meet for three hours on Saturday mornings
and up to 100 students attend them. Students are invited to attend the classes
based on their performance at the Junior Certificate Mathematics Examination
and teacher recommendations. Invitations to attend these classes are highly
valued.
Programmes involving
Mathematics Enrichment Classes are to be found in many countries. They are
generally very extensive, meet more regularly and involve a large proportion
of students. Generous sponsorship is readily available for such programmes
as many of the leading scientists and engineers in these countries would have
some of their early training at these activities.
Objectives of the classes
- Problem
solving; the topics covered are generally distinct from the Leaving
Certificate Mathematics syllabus and the emphasis is on solving
mathematical problems which require ingenuity and mathematical techniques.
- Training
of students who will represent
- New: The first
European Girls Mathematical Olympiad (EGMO) will be held in April 2012 in
Cambridge, UK. The search for Ireland’s most mathematically talented girls
will start in October 2011. You can register here.
More information on Ireland’s Lesson planned participation here.
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Irish Mathematical Olympiad:
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Geometry course
notes, exercises and problem solving tips. Basic Olympiad preparation: the
sections on - Special lines in a triangle + length
calculation (Ex.Set.4) - Angles on a circle, cyclic quadrilaterals,
power of a point - Similar triangles. Geometry notes
on symmetry by Andrei Mustata Geometry notes
by Sabin Tabirca: |
Notes
on general problem solving: Peng Shi’s notes on all problem
solving. The IMO compendium Group notes. Alcumus videos. Notes on
Combinatorics:
1. Course
notes by Martin Stynes. Basic Olympiad preparations:
Chapters 1 and 6, begin 2 and 3.
2. Repetitions
and conditions.
3. Binomial
coefficients notes from UCD
Notes on number theory: 2. WWL Chen’s notes on Division
and Factorization 3. WWL Chen’s notes on Arithmetic
Functions. 4. WWL Chen’s notes on Modular
Arithmetic
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Notes on inequalities
by
Professor Finbarr Holland: |
Our contest
Our problem-solving contest will run every other week, and is organized in
three categories. To participate in a category, you need to reside in Ireland
and to be at or below the educational level designated by the category title.
To enter our contest, send your proof, together with your name, school and
class level to
Alternatively, you can send your solution as a file attachment
to mathsenrichment@ucc.ie
The questions for the
first edition of our contest are listed below.
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Pre-Junior Certificate students |
Post-Junior Certificate students |
Teachers |
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Given a triangle ABC and a point M in its Lesson plane,
show that the areas of the triangles AMB and AMC are equal if and only if the
point M lies on the line joining A with the midpoint K of the side BC. |
Find the dimensions of the largest rectangle inscribed in a
semi-circle of radius r, such that two
neighbouring vertices are on the diameter of the semi-circle. |
Let E
be an ellipse tangent to two lines AB and AC at the points B
and C, and let F and G denote the two focal points of the ellipse. Show that
the angles BAF and CAG are equal. |
We hope that the
secondary school teachers will enjoy having a contest of their own (see above).
In additions, all teachers are warmly encouraged to contribute problems to our
site for publication in the Math notes section.
Maths Circles also have their own new webpage.
Maths Circles in the Cork area:
The North Presentation
Pilot Maths Circle was run for four
weeks in Spring 2010. The meetings were led by David Goulding, Julie O’Donovan,
Robert Linehan and Patrick Gorman; the participants were year 1 and 2 secondary
school students. Introduction; Overview;
Puzzles: Day
1-part 1; Day
1-part 2
The Douglas Community College Maths Circle is an
ongoing project since September 2011, organized by Ciaran O’Conaill, teacher
and J.P.McCarthy, Ph.D. student in UCC. They have an excellent webpage.
Week 1 Lesson
plan, Summary.
Week 2 Lesson
plan, Summary.
Week 3 Lesson
plan, Summary.
Week 4 Lesson
plan, Summary.
Brain
Teasers, Team
Problems, Mastermind,
Mobius.
See webpage for further weeks.
The St. Aidan's Community College Maths Circle – started on 11/11/2011,
organized by Joan Hough, teacher and Gráinne Walsh, 4th
year UCC student.
Week 1 Lesson
plan, Summary.
Week 2 Lesson
plan, Summary,
Puzzles Squares,
Jumping
Lizards, Treasure.
Week 3 Lesson
plan, Summary,
Week 4 Lesson
plan, for symmetry puzzles see the table below.
Nagle Community College Maths
Circle - started on 14/11/2011, organized by Ciara Twomey, teacher and Sinead O'Sullivan and Meabh Kennedy, 3rd year UCC students.
Week 1 Summary.
Week 2 Lesson
Plan and Summary. Week 3 Summary.
Week 4 Lesson
Plan and Summary. Week 5 Summary.
Week 6 Lesson
plan, Week 7 Lesson
plan, Week 8 Lesson
plan, Week 9 Lesson
plan, Week 10 Lesson
plan
Colaiste An Phiarsaigh, Glanmire Maths Circle - started on
15/11/2011,
organized by Sian Joyce, teacher and J.P.McCarthy, UCC Ph.D. student.
Week 1 Summary. Week 2
Lesson
plan, Week 3 Riddles,
Further weeks: Brain
teasers, Codes,
Grasshopper
Population, Map,
Squares,
Zoo
Scoil Mhuire Gan Small Maths Circle in Blarney - started on 17/11/2011, organized by Sean Foley, teacher, and Sinead McCarthy
and Joe McEniry, 2nd year
UCC students.
Week 1 Lesson
Plan, Summary.
Week 2 Lesson
plan, Summary. Week 3 Lesson
plan, Summary.
Week 4 Lesson
plan, Summary.
Week 5 Lesson
plan, Summary, Game,
Week 6 Lesson
plan, Game
board, Week 7 Lesson
plan, Week 8 Lesson
plan, Week 9 Lesson
plan, Summary,
Week 10 Lesson
plan, Summary,
Week 11 Lesson
plan, Diagram,
Summary
Hamilton
High School, Bandon Maths Circle - started on 22/11/2011- organized
by Eoghan O'Leary, teacher and Aodhan O'Leary, UCC student.
Week2 Lesson
plan, Week 3 Lesson
plan
Mount
Mercy Maths Circle - will start on /01/12 – organized by Mary Cowhig
and Ann Sullivan, teachers and Sophie Daly and Sophie Scanell,
UCC students.
Week 1 Lesson
plan, Summary,
Week 2 Lesson
plan, Week 3 Lesson
plan, Summary,
Week 4 Lesson
plan, Week 5 Lesson
plan, Week 6 Lesson
plan, Week 7 Lesson
plan, Summary,
Week 8 Lesson
plan, Week 9 Lesson plan
St. Aloysius Maths
Circle – organized by Sarah
Moore and Sorcha Gilroy
Week 1 Lesson
plan, Week 2 Lesson
plan, Week 3 Lesson
plan
Gaelcholáiste
Mhuire Maths Circle – Valerie Mulcahy
and Eoin O’Mahony
Week 1 Lesson
plan, Week 2 Lesson
plan
Ursuline Convent Secondary School, Blackrock Logic Lunch organized by Jennifer Murphy
Bishopstown Community School Maths
Circle - started on 13/12/2011- organized by Mary Sheehan, teacher and Vahid
Yazdanpanah and Phillip O’Mahony, UCC students. Week 1 Lesson
plan. Week 2 Lesson
plan.
Coláiste an Spioraid Naoimh Bishopstown organized by Gary Hyde, teacher
and Phillip
O’Mahony, UCC student.
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Logic
puzzles, sequential thinking and graphs:
Pdf |
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Magic
products Pdf |
Chess board puzzles |
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Binary numbers |
Factors of triangular numbers Pdf |
Areas |
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A good source of nice puzzles, sorted
by class: the Kangaroo contest. Problems
with solutions: the Virtual
Maths Club. A rich source of
Maths puzzles and games, sorted by topic: Cut-the-knot.
A directory of
e-books on maths games
Some sites of maths circles containing problem
sets, lesson Lesson plans or other useful information: Toronto, Stanford, Berkeley.
David Joyce’s online version of Euclid’s Elements.
Contact
information
Email: mathsenrichment@ucc.ie
Mathematics Enrichment Classes organizers:
Current: Anca
Mustata
tel (021) 420 5852
Previous: Dr. Donal Hurley
Professor Finbarr Holland