Beginning Linear Algebra
offered by Oxford University

Public University
1 Campus
Estd. 1096

Beginning Linear Algebra
at
Oxford University
Overview

Ability to find the matrix which represents a given linear transformation with respect to a given basis

Duration	10 weeks
Total fee	₹19,000
Mode of learning	Online
Course Level	UG Certificate

Beginning Linear Algebra
at
Oxford University
Highlights

Earn a certificate of completion from Oxford university

Beginning Linear Algebra
at
Oxford University
Course details

What are the course deliverables?

Comfort with the language and notations of linear algebra
Comprehensive understanding of linear equations and their solutions
Mastery of basic matrix algebra
Knowledge of vector space basics: linear combinations, spanning, bases
Be able to work out non-exotic examples and invoke appropriately, the standard theorems of basic linear algebra

More about this course

The course begins innocently enough by showing how any system of linear equations can be solved and by describing the set of all its solutions
Once this is well understood it functions as an underlying motif for the rest of the course, e.g. in the reductions which make the calculation of determinants numerically feasible, in computing orthogonal bases, in elucidating spectral theory with its eigenvalues and eigenvectors
This is the first course exploiting the simplifications available via linear changes of coordinates

Beginning Linear Algebra
at
Oxford University
Curriculum

Week 0

An Introduction to Teams -Course orientation

Week 1

Solving linear equations

Week 2

Matrix algebra

Week 3

Vector spaces

Week 4

Linear transformations

Week 5

Isomorphisms

Week 6

Change of basis

Week 7

Canonical forms

Week 8

Canonical forms (bis)

Week 9

Inner products

Week 10

Miscellaneous

Beginning Linear Algebra
at
Oxford University
Faculty details

Prof Bryan Cain

Has more than 25 years experience teaching university-level mathematics. Has lectured and/or taught and/or held a research appointment in 8 western European countries plus Russia, China, India, Japan, Israel, Canada, Iowa State University, University of Wisconsin, and MIT.