Basic Concepts in Mathematics

2019-2020
Dit vak wordt in het Engels aangeboden. Omschrijvingen kunnen daardoor mogelijk alleen in het Engels worden weergegeven.

Doel vak

After this course...

... the student can understand and reproduce simple mathematical
statements and proofs, and check them for correctness.
... the student can choose an appropriate strategy to prove a
mathematical statement.
... the student can write down the proof of a simple mathematical
statement in a clear and unambiguous manner.
... the student knows the definitions of certain basic mathematical
concepts and is able to prove statements and theorems about these.
... the student displays an active attitude that is necessary for the
further study of mathematics.

Inhoud vak

This course is all about essential notions and techniques in
mathematics. You will learn about, and work with, things like sets,
logic, counting, relations, functions and cardinality, but we will spend
at least as much time on various techniques for proving mathematical
statements, including direct and contrapositive proof, and proof by
contradiction and induction. We will also teach you how to write down
mathematical arguments properly.

Onderwijsvorm

Lectures, study sessions and tutorials (total 8 hours per week).
Students are also required to hand in a homework assignment every week.
We expect you to dedicate in total about 20 hours per week to this
course.

Toetsvorm

Your final grade is built up as follows:

A test in week 2 [25%];
A test in week 5 [25%];
A final exam in week 8 [50%];
A number of unannounced tests during lectures [max. 5% bonus];

You will also be required to hand in 6 written assignments;

To pass the course...

... your final score must be no less then 55% (all students);
... 5 out of your 6 hand-in assignments must have been graded as
"sufficient" (all students). A hand-in assignment that is initially
graded as insufficient, may be handed in a second time;
... you must have been present at 75% of the study sessions and
tutorials (full time students only);

If you don't fulfill these requirements, then you must take the resit
exam in January. The resit exam then counts for 100% (i.e. the partial
grades that you obtained during the course in period 1 will no longer be
valid).

Vereiste voorkennis

None

Literatuur

We use the "Book of Proof" by Richard Hammack (2nd Ed.) This book is
available for free on the website of the author.

Doelgroep

BSc Mathematics Year 1

Overige informatie

Participation in 75% of the study sessions and tutorials is mandatory
(for full time students) in order to pass the course.

Aanbevolen voorkennis

High school mathematics

Algemene informatie

Vakcode X_401104
Studiepunten 6 EC
Periode P1
Vakniveau 100
Onderwijstaal Engels
Faculteit Faculteit der Bètawetenschappen
Vakcoördinator prof. dr. B.W. Rink
Examinator prof. dr. B.W. Rink
Docenten prof. dr. B.W. Rink

Praktische informatie

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