# IMAT2011 - Mathematical methods 2 for Electrical engineering and Renewable energy

This course is no longer taught and is only available for examination.

### Examination arrangement

Examination arrangement: School exam

Evaluation Weighting Duration Grade deviation Examination aids
School exam 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 computerized simulation and analysis tools will also be included. Compulsory work: At least 4 of 6 exercises must be approved for admission to the exam.

• Exercises

### Further on evaluation

Mandatory Excersises: 4 out of 6 must be approved to get access to the exam..

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

### Specific conditions

Admission to a programme of study is required:
Electrical Engineering (BIELEKTRO)
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 AUTUMN 2019
IMAG2011 10.0 AUTUMN 2019
IMAT1002 2.5 AUTUMN 2023
IMAT2012 7.5 AUTUMN 2023
IMAA1002 2.5 AUTUMN 2023
IMAA2012 7.5 AUTUMN 2023
IMAA2022 5.5 AUTUMN 2023
IMAT2022 5.5 AUTUMN 2023
IMAA2023 2.0 AUTUMN 2023
IMAT2024 2.0 AUTUMN 2023
IMAT2023 2.0 AUTUMN 2023
IMAA2024 2.0 AUTUMN 2023
IMAG2024 2.0 AUTUMN 2023
IMAG2022 5.5 AUTUMN 2023
IMAG2023 2.0 AUTUMN 2023
IMAG1002 2.5 AUTUMN 2023
IMAG2012 7.5 AUTUMN 2023
More on the course

No

Facts

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

Coursework

Language of instruction: Norwegian

Location: Trondheim

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

Department of Mathematical Sciences

# Examination

#### Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Spring ORD School exam (1) 100/100
• * 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.
• 1) Siste gangs eksamen
Examination

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

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