course-details-portlet

IMAG2021 - Mathematical methods 2 for Computer engineering

About

Examination arrangement

Examination arrangement: Written examination
Grade: Letters

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. Power series, Taylor series. Taylor polynomials in 2 variables. Function of two and more variables, partial differentiation, extreme value problems. Logics: Statements, arguments, basic proof theory. Set theory and discrete functions. Number theory: Divisibility and congruence, RSA as application. Graph theory: Important types of graphs, graphs, graph isomorphy, trees. Combinatorics: Counting results related to quantities, functions, relations and graphs.

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.
• Basic concepts, results and methods from the theory of statements and arguments included simple mathematical proofs.
• Basic concepts and results connected to set theory and discrete functions.
• Basic concepts and results connected to relations and graphs, included equivalence relations, orderings, paths in graphs and graph isomorphies.
• Basic concepts and results from number theory connected to divisibility.
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
• Calculation and manipulations of series
• Partial derivation and application in classification of local extrema of a function of two variables.
• Calculate with congruences and carry out RSA-encryption and decryption.
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. Exercises and learning videos for self-study will be available as a supplement to the lectures. Local digital resources will also be offered.
Compulsory work: At least 4 of 6 exercises must be approved for admission to the exam.

Compulsory assignments

  • 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:
Computer Science (BIDATA)
Geomatics (BIGEOMAT)

Course materials

A specially compiled course book comprising chapters of Adams and Essex: Calculus, and Lay, Lay and McDonald: Linear Algebra and its Applications, available as the semester begins. Notes will be released on the Blackboard page.

Credit reductions

Course code Reduction From To
TDAT2002 10.0 01.09.2019
IMAA2021 10.0 01.09.2019
IMAT2021 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

No.of lecture hours: 6
Lab hours: 4

Language of instruction: Norwegian

Location: Gjøvik

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

Department with academic responsibility
Department of Mathematical Sciences

Phone:

Examination

Examination arrangement: Written examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Spring ORD Written examination 100/100 D
Room Building Number of candidates
  • * 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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