Applied Mathematical Methods and Data Analysis

• Lecturer: Prof. Dr. Mihalis Vrekoussis
• E-mail: vrekoussis@iup.physik.uni-bremen.de

Lecture content:

The course lectures cover the theoretical and practical basis of the following subject areas:

PART A:

Calculus I (Functions, theorems)
Calculus II (Differentiations, applications of derivatives, approximations, errors)
Calculus III (Integrations, applications of integrals)
Calculus IV (Series, convergence, divergence)
Linear algebra (vectors, vector-functions)
Differential equations I (ordinary first, second and higher-order differential equations - ODE)
Differential equations II (partial differential equations - PDE)
Exercises on all the above

PART B:

Introduction to Python (Installation, build-in functions, arrays, data loading, handling, visualizing)
Hands – on examples (numerical approximations, differential equations)