course-details-portlet

TMA4110 - Calculus 3

About

Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation Weighting Duration Examination aids
Skriftlig 100/100 4 hours C

Course content

Complex numbers and the complex exponential function. Second order linear differential equations. Systems of linear equations, Gauss-Jordan elimination, reduced echelon form, matrix algebra, determinants. Vector spaces, subspaces, linear dependence and independence. Inner products, orthogonality, orthogonal projections, Gram-Schmidt orthogonalization, and the method of least squares. Eigenvalues and eigenvectors, diagonalization, symmetric matrices and quadratic forms. First order systems of differential equations.

Learning outcome

1. Knowledge. The student is able to recognize, understand and apply concepts and methods from linear algebra in Euclidean spaces and systems of differential equations.

2. Skills. The student is able to apply his or her knowledge of linear algebra and systems of differential equations to formulate and solve problems in mathematics and the natural sciences/technology, if necessary with the additional aid of mathematical software.

Learning methods and activities

Lectures and compulsory exercises. Grade based on final written examination. Retake of examination may be given as an oral examination. The lectures may be given in English.

Compulsory assignments

  • Exercises

Further on evaluation

see «Teaching methods and activities».

Course materials

Will be announced at the start of the semester.

Credit reductions

Course code Reduction From To
SIF5009 7.5
SIF5010 7.5
MA1201 3.0
MA1202 3.0
MA0003 1.5
TMA4115 7.5
MA6201 3.0
MA6202 3.0
TMA4101 3.7
TMA4106 3.7
More on the course

Facts

Version: 1
Credits:  7.5 SP
Study level: Foundation courses, level I

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2019

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences