Topics in Applied Mathematics (5 cr)

Evaluation scale

H-5

Content scheduling

Autumn semester 2025, according to the schedule.
Part 1:
• Fundamentals of Logic
• Combinatorics
• Number Theory
Part 2,
• Sequences
• Series
• Taylor & Fourier series

Objective

After completing the course the student can
- apply logical rules and notation
- compute and apply permutations and combinations
- apply the concepts and properties of divisibility and congruence
- process arithmetic and geometric sequences and sums
- calculate the sum of a converging infinite geometric series
- form Taylor polynomials and utilize them in numerical computation
- determine coefficients for Fourier-series expansions using mathematical computation tools

Content

- Fundamentals of logic
- Basics od number theory with applications
- Basics of combinatorics with applications
- Sequences and series
- Taylor series
- Fourier series

Materials

All course materials will be published in Itslearning.
We use MATLAB, for which TUAS has a campus license. You can download it to your own device for free or use MATLAB Online version.
Taking the self-study course MATLAB Basics for ICT is highly recommended prior to the start of Sequences and Series part (Part 2).

Teaching methods

Part 1, Logic, combinatorics and number theory:
lectures, homework, self-study, exam

Part 2, •:
lectures, MATLAB exercises, homework sessions, self-study, exam

Exam schedules

The midterm exam for Part 1 is on 28.10.2025, first retake on 4.11.2025.
The midterm exam for Part 2 is on 16.12.2025, first retake on 2025.
The final retake exam for both parts is on 13.1.2026.
Exact times in the schedule.

Note. Homework and exercises must be submitted in time, there is no way to complement or "retake" them later.

Student workload

Part 1:
Intro 1h
Lectures 9*2h
Exam 2h
Self-study (homework, preparing for exams etc.) ~46h.

Part 2:
Lectures 5*2h
Homework sessions 5*2h (Mandatory attendance)
Exam 2h
Self-study (homework, installing and learning Matlab, preparing for exams etc.) ~46h.

Qualifications

Previous mathematics courses of ICT engineering curriculum (or equivalent skills):
Introduction to Engineering Mathematics
Calculus

Further information

Itslearning and email

Homework sessions in Part 2 of the course are mandatory to help students learn MATLAB independently and confidently.