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Course Description
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Course Name
Basic Concepts in Mathematics
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Host University
Vrije Universiteit Amsterdam
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Location
Amsterdam, The Netherlands
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Area of Study
Mathematics
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Language Level
Taught In English
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Course Level Recommendations
Lower
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
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ECTS Credits
6 -
Recommended U.S. Semester Credits3
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Recommended U.S. Quarter Units4
Hours & Credits
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Overview
COURSE OBJECTIVE
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.COURSE CONTENT
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.TEACHING METHODS
Lectures, study sessions and tutorialsTYPE OF ASSESSMENT
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
Course Disclaimer
Courses and course hours of instruction are subject to change.
Some courses may require additional fees.