## Mathematics Tutorial Ib - Fall 2019

This page will be updated shortly before the course starts.

The aim of this course is to provide essential mathematical knowledge necessary to further study mathematics and other sciences at university level. The course is intended for students taking Linear algebra I.

High-school level mathematics.

Linear systems, Gaussian elimination, matrices, vectors, linear maps, matrix multiplication, the inverse of a linear map, subspaces of Rn, image and kernel, linear independence, bases, dimension, coordinates, orthogonal bases, the Gram–Schmidt algorithm, QR factorization, orthogonal complement, orthogonal maps, least square approximations.

Otto Bretscher:

The assessment of this course coincides with the assessment of the course Linear Algebra I.

The reference book is available in the Main library and in the Science library (enough copies in total for all students).

It is

**●****Objectives of the course**The aim of this course is to provide essential mathematical knowledge necessary to further study mathematics and other sciences at university level. The course is intended for students taking Linear algebra I.

**●****Course Prerequisites**High-school level mathematics.

**●****Course Contents**Linear systems, Gaussian elimination, matrices, vectors, linear maps, matrix multiplication, the inverse of a linear map, subspaces of Rn, image and kernel, linear independence, bases, dimension, coordinates, orthogonal bases, the Gram–Schmidt algorithm, QR factorization, orthogonal complement, orthogonal maps, least square approximations.

**●Reference book**Otto Bretscher:

**, fourth edition, Pearson 2009.***Linear Algebra with Applications**ISBN: 978-0-13-600926-9.*

**●****Evaluation methods**The assessment of this course coincides with the assessment of the course Linear Algebra I.

*Course withdrawal:*Any student who does not participate in the final exam will receive the grade “Absent”. It is not necessary to submit a course withdrawal request form.**●****Notice for students**The reference book is available in the Main library and in the Science library (enough copies in total for all students).

It is

*strongly*recommended to register also to Linear algebra I.