Advanced Engineering MathematicsLaajuus (6 ECTS)

Objective

The student learns to understand the concept of a converting series and the importance of this concept in practice.

The student can use Fourier series as a tool in signal processing.

The student learns the idea of Fourier and Z-Transforms.

Content

-sequences and series
-Taylor polynomials and series
-Fourier series
-Fourier transform
-difference equations and z-transform

Qualifications

Introduction to Calculus
Calculus with Applications

Assessment criteria, satisfactory (1)

Student knows that applications of sequences and series are related to digital signal processing and data communication theory. Student is able to solve basic problems related to sequences and series.

Assessment criteria, good (3)

Student understands the idea behind the approximation and is aware of the concept of convergence. Student knows the relationship between the Fourier analysis, z-transform, digital signal processing and data communication theory. Student is able to use series and sequences techniques to solve related mathematical problems.

Assessment criteria, excellent (5)

Student is able to solve and give reasons for applying different advanced mathematics techniques in engineering problems.