TMA 4115 Parallel FYMA Spring 2017

This page contains information on the parallel TMA 4115 FYMA. For general information applying to all parallels of TMA 4115 see the main page of the course.

Teaching in this parallel will be in english language (beklager, men jeg snakker dårlig norsk…). However, there are video recordings of lectures from Spring 2012 in Norwegian (see main page for more information). Notice that the curriculum of the lectures has slightly changed since 2012. Hence the recordings are slightly dated, leave out some material now part of the course and deal instead with some topics not contained in the current lecture.

Announcements

No lecture on Tuesday 18.04
On Tuesday, April 18th, there will be no lecture (the lecture will be held on the 25th instead).

Referansegruppe

Martin Jacobsen	martja (at) stud (dåt) ntnu (dåt) no
Even Stephansen Kjemsås	e.kjmss (at) gmail (dåt) com
Lise Eder Murberg	lise (at) murberg (dåt) no

Please contact them if you have suggestions concerning the lecture the reference group should discuss. (If you are not a spambot it should be easy to assemble the correct email address from the above.)

Material and further Information

Here you can download the slides used in the lecture. In general, I will try to make the slides available before the lecture (so you can bring them if you want to take notes).

Date	Slides (Short content description)	Comments
10.01	Introduction and complex numbers
12.01	Complex numbers, polar coordinates and operations
17.01	Operations on complex numbers, roots and complex functions
19.01	Complex function and exponential, Second order linear equations	The video lectures only cover the material on the exponential function (complex functions/polynomials are missing)
24.01	Linear second order differential equations, linear independence, constant coefficients
26.01	Differential equations with constant coefficients, inhomogeneous equations and method of undetermined coefficients
31.01	Inhomogeneous differential equations, method of undetermined coefficients, variation of parameters
23.02	Matrix algebra, Inverse Matrices
16.03	Markov chains
20.03	Eigenvectors and eigenvalues
23.03	Similarity of matrices, diagonalisation
27.03	Systems of differential equations
30.03	Inner products, geometry and orthogonality
20.04	Least square problems, symmetric matrices, spectral theorem

In the first chapter of the lecture we discuss complex numbers. To explore complex numbers, you should try the Mathlets (see menu to the left for access) for complex numbers offered by MIT.

Fun (only tenuously related to the lecture): What if you pitch a baseball at 90% of lightspeed?