Topics in Applied Mathematics (5 cr)

Evaluation scale

H-5

Content scheduling

Spring 2023, according to the schedule.

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

Lecture notes, homework and MATLAB exercises will be published in Itslearning.

Teaching methods

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

Part 2, Sequences and series:
lectures, MATLAB exercises, self-study, exercises/homework

Exam schedules

Midterm exam, part 1 on week 7, retake on week 9. Midterm exam, part 2 on week 16, retakes on week 17. Exact dates and times in the schedule.

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

Student workload

Lessons 49 h
Exams + preparing for them 26 h
Self-study (homework, Matlab etc.) 60 h so approx. 5 h per week.

Qualifications

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

Further information

We will use MATLAB, for which TUAS has a campus licence. You'll need to download it to your laptops.

Taking the self-study course MATLAB Basics for ICT is highly recommended prior to the start of Sequences and Series part.