## Basic Mathematical Tools

### Full course description

Students learn to analyze mathematical problems from various fields in mathematics, such as analysis, algebra, and probability theory. Thus, students are trained to model and solve quantitative problems from a wide variety of disciplines.

The course is intended in particular for students with only a limited mathematical background from pre-university education that need to refresh their skills in mathematics and calculus. The first three weeks recap topics that are already covered in secondary school. The remaining weeks cover more advanced topics to prepare students for further quantitative courses.

The course guides students through a wide variety of topics in mathematics and its applications. Topics range through solving equations and inequalities, techniques for differentiation , function analysis, probability theory, geometry and approximation techniques.

### Course objectives

- To provide students with a thorough mathematical basic toolbox.
- To train students in computation and analytic reasoning.
- To demonstrate why mathematics is extremely useful in many disciplines.
- To prepare students for more advanced courses in mathematics.

### Prerequisites

This course is aimed at students who have only taken basic level Mathematics in High School. Although the level of high school mathematics required for this course is basic, the pace of this course exceeds high school levels. Further, the course topics cover, but also digress beyond high school mathematics. Thus, since the emphasis of this course is on computational rather than conceptual issues, students that take this course are required to have at least some affinity with quantitative skills and application of mathematical techniques.

Students who are not sure whether this course is appropriate for them are welcome to contact the course coordinator. It is strongly suggested that students who have taken the highest level of mathematics in high school consider taking relevant 2000-level courses directly.

**Prerequisite**

None.

### Recommended reading

- E-Reader