course-details-portlet

TMA4110

Calculus 3

Choose study year
Credits 7.5
Level Foundation courses, level I
Course start Autumn 2019
Duration 1 semester
Language of instruction English and norwegian
Location Trondheim
Examination arrangement Written examination

About

About the course

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
SIF5009 7.5 sp
SIF5010 7.5 sp
MA1201 3 sp
MA1202 3 sp
MA0003 1.5 sp
TMA4115 7.5 sp
MA6201 3 sp
MA6202 3 sp
TMA4101 3.7 sp
TMA4106 3.7 sp
This course has academic overlap with the courses in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Technological subjects

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences