# First Year Applied Mathematics

Applied Mathematics (AM) is a three year bachelor programme. Each year is divided into four quarters, each consisting of ten weeks. The academic calendar details the holidays taken into account. Each quarter consists of 15 European Credits (EC). The curriculum has a total of 180 EC, meaning students are expected to earn 60 EC per year. Each year consists of four modules, each with their own theme within the programme. During the first semester of the third year, you as a student have the opportunity to follow a minor of your own choice.

Module 1: Structures and Models

The first module (Osiris) is the first acquaintance with studying Applied Mathematics. The module consists of the following courses:

• Calculus 1
• Prooflab 1
• Linear Structures 1
• Programming & Modelling

After succesful completion of the module, the student:

• is aware of what it means to study Applied Mathematics at an academic level.
• knows and can apply the very basics of mathematics and modelling in about every subsequent module.
Module 2: Mathematical Proof Techniques

This module (Osiris) is primarily about abstraction and formal reasoning, studied from different perspectives. The module consists of the following courses:

• Linear Structures II
• Analysis I
• Linear Optimization
• Prooflab II
• Calculus II

After successful completion of the module the student:

• is proficient in abstract and formal reasoning in basic mathematics.
• has an overview of proof techniques.
• is able to assess and understand complex proofs and is able to derive proofs in a systematic way.
Module 3: Electricity and Magnetism

The third module is centered around vector calculus and its applications in physics. The module is a joint effort of Applied Mathematics and Applied Physics. In the project students build electromagnetic devices from a historical perspective using modern materials. The module consists of the following parts:

• Vector Calculus
• Prooflab III
• Electromagnetism
• Mathematica
• Analytical Programming
• Presentation Skills
• Project

After successful completion of the module the student:

• is able to use vector calculus in basic electromagnetic problems, both on a theoretical and a practical level.
• is able to concisely convey mathematical concepts using presentation skills.
Module 4: Signals and Uncertainty

This module has two building blocks. One is an introduction in the mathematical foundation of probability theory and the other is the introduction to frequency domain based tools to analyse signals as well as differential equations.

These building blocks are connected through the project. Collaboration in relatively large groups is a focus point of the project. The project is chosen such that both core topics play a crucial role. The goal of the project is to make a prediction of signals where the modelling requires frequency domain tools but the accuracy of the prediction can only be assessed using probability theory.

• Signals and Transformations
• Probability
• Project

After successful completion of the module the student:

• has knowledge of and insight into probability models, and is able to analyse them and interpret the outcomes.
• has knowledge of and insight into frequency domain analysis and ability to understand both signals and differential equations better using frequency domain tools.
• is able to analyse large amounts of data, using, in particular, frequency domain tools and, working together, obtain predictions and understand the accuracy of those predictions.