# IMAG2011 - Mathematical methods 2 for Electrical engineering and Renewable energy

### Examination arrangement

Examination arrangement: Written examination

Evaluation form Weighting Duration Examination aids Grade deviation
Written examination 100/100 5 hours D

### Course content

Numerical methods in all themes if relevant. Complex number, eigenvalues, eigenvectors, systems of differential equations, powerseries, taylorseries, function of two and more variables, partial differentiation, extrema value problems, laplace transform, transfer functions and fourier series

### Learning outcome

The candidate should demonstrate knowledge of the following:
-Complex numbers; polar form and Eulers formula
-Computation of characteristic polynomials, eigenvalues and eigenvectors of a square matrix
-Convergence of series, particularly geometric series
-Power series, including Taylors theorem with remainder and Taylor series of well-known functions. Integration and derivation of power series.
-Functions of several variables. Partial and total derivatives. Linearization around a stationary point and its applications. Coupled differential equations, state-space models, Laplace transformation and Fourier series.
The candidate should acquire and display the following skills:
-Use of computational devices for numerical calculations and graphical representations in topics relevant to the course.
-Basic computations with complex numbers and phasor analysis,
-Calculation and manipulations of series
-Partial derivation and application in classification of local extrema of a function of two variables.
State space models of dynamic systems, eigenvalues and stability, numerical solutions of differential equations, Laplace transforms of common functions and properties of the Laplace transform, inverse Laplace transform, solving differential equations using the Laplace transform, transfers functions and Bode plots, poles and zeros, Fourier series of common waveforms, odd and even functions and frequency response of linear systems.

General competence:
- Use of mathematics to model and solve theoretical and practical problems in situations relevant to their own field, in academic and professional contexts.
- Use of computational tools to visualize and solve mathematical problems.

### Learning methods and activities

Lectures and exercises. Exercises will be based on assignments and digital learning elements using Blackboard. Use of MATLAB will also be included. Compulsory work: At least 4 of 6 exercises must be approved for admission to the exam.

• Exercises

### Further on evaluation

There will be a digital exam at the end of the semester.

### Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

Admission to a programme of study is required:
Electrical Engineering (BIELEKTRO)
Renewable Energy (BFEN)
Renewable Energy (BIFENER)
Renewable Energy (BIFOREN)

### Course materials

Anthony Croft et al: Engineering mathematics, 5.edition Pearson Notes will be released on the Blackboard page.

### Credit reductions

Course code Reduction From To
IMAA2011 10.0 01.09.2019
IMAT2011 10.0 01.09.2019
More on the course

No

Facts

Version: 1
Credits:  10.0 SP
Study level: Intermediate course, level II

Coursework

Term no.: 1
Teaching semester:  SPRING 2021

Language of instruction: Norwegian

Location: Gjøvik

Subject area(s)
• Mathematics
Contact information
Course coordinator: Lecturer(s):

Department of Mathematical Sciences

Phone:

# Examination

#### Examination arrangement: Written examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam
Spring ORD Written examination 100/100 D
• * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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