Pre-Sessional Mathematics Course

This is a preparatory course intended to refresh and align mathematical knowledge before starting a Master program in physics/photonics/quantum technologies. The content includes core mathematical tools such as vectors, complex numbers, calculus, differential equations, and basic linear algebra, which are essential for later physics courses.

Organisers

Friedrich Schiller Universität Jena

Delivery mode

Hybrid

Location

Online and Jena, Germany

Timing

On Demand

Target audience

BSc students

MSc students

Language

English

Learning outcomes

After successful completion of the course, students are able to:

apply fundamental mathematical methods, including vectors, complex numbers, and matrices, to quantitative problems.
perform differential and integral calculus for functions of one and several variables.
solve basic differential equations relevant to physical systems.
use concepts of linear algebra to analyze mathematical models in physics and engineering.
apply mathematical reasoning and standard notation in advanced physics courses.

Topical Area(s) covered in this module

Integrated photonics

Duration or workload

5-day-course: 4h lectures + 2h seminar time per day

Competence level

Introductory

Temporal mode

Flexible self-paced

Scheduled sessions (real-time participation required)

Timing and availability

On Demand

Learning formats

Lecture

Exercises

Seminar

Pricing

Free

Target audience

BSc students

MSc students

Entry requirements

Participants should have prior knowledge of upper-secondary school mathematics, including algebra, trigonometry, and basic functions. Basic familiarity with differential and integral calculus is recommended. The course is intended for students entering a Master program in physics, photonics, or related scientific disciplines who wish to refresh and strengthen their mathematical foundations.