Topics in Applied Mathematics (5 cr)

Evaluation scale

H-5

Content scheduling

Spring semester 2024, according to the schedule.
Part 1, weeks 2-9
Part 2, weeks 10-16

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, on Part 1 on week 7, retake on week 9.
Midterm exam, part 2 on week 15, retakes on week 16. Exact dates and 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

Lessons 46 h
Exams + preparing for them 20 h
Self-study (homework, installing and learning Matlab etc.) 70 h so approx. 6 h per week.

Evaluation methods and criteria

Submit in time at least 25 % of the homework/exercises for both modules.

Active participation in classroom and exercise sessions (at least 75 % attendance for both modules).

Achieve at least 6/15 points in both Midterm exams or retakes.

Failed (0)

Less than 25 % of homework exercises submitted in time.
More than 25 % (unauthorized) non-attendance from lectures and exercise sessions.
Less than 6/15 points in one or both of the Midterm exams or retakes.

Student has not demonstrated achieving the learning objectives of the course. They recognize and can use only few of the concepts of the course topics, and show no skills to apply them.

Assessment criteria, satisfactory (1-2)

Student has demonstrated having achieved the learning objectives of the course on satisfactory level. They recognize and can to some extent use most of the concepts of the course topics.

Assessment criteria, good (3-4)

Student has demonstrated having achieved the learning objectives of the course well.
They recognize and can use most of the concepts of the course topics, and are able to apply them on various study and work contexts.

Assessment criteria, excellent (5)

Student has demonstrated having achieved the learning objectives of the course on excellent level. They master the concepts of the course topics, and are able to fluently apply them on study and work contexts.

Qualifications

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

Further information

We use MATLAB, for which TUAS has a campus licence. You can to download it to your own device or use MATLAB online.

Taking the self-study course MATLAB Basics for ICT is highly recommended prior to the start of Sequences and Series part (Part 2).