Theoretical Background

Theoretical Background

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Theoretical Background
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Undergraduate Mathematics Degree at Sussex 2007
(Some of) What are you going to learn in the next 3 (or 4) years
Omar Lakkis
Mathematics – University of Sussex – Brighton, England UK
September 29, 2009
Week Zero
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 1 / 211 Starting up
2 What you will be learning
3 First year details
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 2 / 21What do we require from you (we think) you ought to “have” when you come in
Love, Passion and Curiosity
Open mind (e.g., willingness to accept new concepts that will
empower you)
Critical thinking (e.g., don’t believe what you’re told, unless its
proven)
Willingness to think hard (e.g., to persevere until you solve a
problem).
Imagination (Maths is basically “thought experiments”) and creativity
Ability to manipulate basic mathematical objects such as numbers,
fractions, plane geometry, graphs, mathematical pictures and
diagrams, logic, some basic scientific background.
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 3 / 21What is Maths?
Maths is a culture (not a set of dry formulas to be randomly tried on
“problems”).
Maths is a language (which needs to be learned, understood and
used).
TIMTOWTDI (There is more than one way to do it).
Mathematicians don’t believe a statement unless it is proven.
The hardcore ones won’t sleep well until the question is settled.
Mathematicians constantly look for trouble.
Maths is a social and transnational activity.
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 4 / 21What (we think) you should get out of US
Love, Passion and Curiosity (e.g., school Teachers),
Self-confidence (e.g., the will to face logically demanding tasks),
Skills (e.g., the power to solve logical problems: management and
organisation, software and system design, financial analysis, assisiting
scientists/engineers),
Communication the capacity to communicate with mathematicians
and trivial beings (i.e., non-mathematicians),
Maturity and critical thinking,
Appreciation of mathematical, logical, scientific difficulties,
Cultural background.
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 5 / 21Term 1 (Year 1)
Hints
Watch that mathematical “culture shock” (good and bad)
No difficulty means no learning
Dauting means you need help
Those worksheets are meant to help you
Think, explore, read, discuss, argue, ask, search,...
The Courses
1 Mathematics in Everyday’s Life (Maths only) [CWK]
2 Geometry [CWK+UEX]
3 Foundation of Analytical Skills [CWK+UEX]
4 Introduction to Pure Mathematics [CWK+UEX]
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 6 / 21Where to find information
http://www.sussex.ac.uk/maths
https://direct.sussex.ac.uk/mle/page.php?realm=home
check regularly (twice daily) your university email
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 7 / 21Who to talk to
Academic Advisor
“The office” (Louise, Gemma and Juan)
Colleagues (other students)
Senior tutor
Student support
Second year and older students
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 8 / 21Term 2-3 (Year 1)
Courses
1 Mathematical Modelling [CWK+UEX]
2 Linear Algebra [CWK+UEX]
3 Analysis [CWK+UEX]
4 Computing with Matlab [Term 2 only + project]
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 9 / 21Year 2
Term 4 Courses
1 Calculus of Several Variables
2 Further Analysis
3 Groups and Numbers
Term 5-6 Courses
1 Career Development [Term 5 only]
2 Applied Mathematics
3 Advanced Analysis
4 Probability and Statistics
O Lakkis (Sussex) Maths Degree Programme Sussex September 29, 2009 10 / 21