TMA 4115 Parallel MBIOT5, MTKJ, MTNANO

This page contains information on the parallel TMA 4115 MBIOT5, MTKJ, MTNANO. For general information applying to all parallels of TMA 4115 see the main page.

Schedule of the lectures:

Tuesday 10.15 - 12 Wednesday 14.15 - 16, both lectures in H3

Slides (Used in the lecture):

• 07.01. Introduction
• 08.01. Lecture 2: Complex numbers
• 14.01. Correction formula for nth roots , Lecture 3: Complex functions
• 15.01. Lecture 4: Second order differential equations
• 21.01. Lecture 5: Second order linear equations (with constant coefficients)
• 22.01. Lecture 6: Harmonic motion and Method of Undetermined Coefficients
• 28.01. Lecture 7: Variation of parameters and forced harmonic motion
• 29.01. Lecture 8: Systems of linear Equations, Gaussian Elimination Algorithm
• 04.02. Lecture 9: Systems of linear Equations, Vector equations
• 05.02. Lecture 10: Vector equations and Matrix equations
• 11.02. Lecture 11: Matrix equations and linear (in-)dependence
• 12.02. Lecture 12: Matrix transformations
• 18.02. Lecture 13: Linear transformations and matrix algebra
• 19.02. Lecture 14: Matrix algebra, 12.19. The invertible matrix theorem
• 25.02. Lecture 15: Determinants
• 26.02. Lecture 16: Determinants II, The adjugate matrix
• 04.03. Lecture 17: (Abstract) Vector spaces
• 05.03. Lecture 18: Vector spaces and linear transformations
• 11.03. Lecture 19: Bases, Coordinates and linear transformations
• 12.03. Lecture 20: Dimension of vector spaces and Markov chains, The invertible matrix theorem 12.19 continued
• 18.03. Lecture 21: Eigenvalues and eigenvectors
• 19.03. Lecture 22: Eigenvalues and diagonalization of matrices
• 25.03. Lecture 23: Complex eigenvalues and systems of linear differential equations
• 26.03. Lecture 24: Systems of differential equations, Inner product and geometry
• 01.04. Lecture 25: Orthogonal complement, Gram-Schmidt process
• 02.04. Lecture 26: Gram-Schmidt process, least square method
• 08.04. Lecture 27: Least square method, symmetric matrices and quadratic forms
• 09.04. Example of a Second order differential equation (by Antoine Julien)

In the first chapter of the lecture we discuss complex numbers. If you have an iPad there is an App which lets you explore complex numbers. The App is called "Simply complex" (by Andrew Stacey) and is available for free in the App Store (see also the main page of this course).

The reference group for this parallel consists of:

• Ane Garborg Zakariassen (MTKJ) anegz æt stud dåt ntnu døt com
• Marius Granli (MTKJ) mariusmg åt stud døt ntnu dåt no
• Simen L. Tronsaune (MTKJ) Simenltr æt stud dåt ntnu døt no
• Anders Strømberg (MTNANO) anders døt stromberg93 åt gmail dæt com