https://studiegids.vu.nl/en/courses/2025-2026/X_401104After 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.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.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.Your final grade is built up as follows: A mock test in week 2 [0%]; A midterm test in week 5 [30%] A final exam in week 8 [70%]; 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;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).We use the "Book of Proof" by Richard Hammack (2nd Ed.) This book is available for free on the website of the author.BSc Mathematics Year 1NoneHigh school mathematics