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Enrichment • Series

Linear Algebra

James G

Series Details

Sessions

Public Discussion

This series ended on September 14, 2021. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

Linear algebra is the mathematics that underlies most computing languages and is also prevalent in many scientific disciplines. It was essentially born out of the study of finding solutions to systems of linear equations. It has a far reaching number of applications from describing quantum mechanical systems to predicting stock market growth. It is an essential component to any student planning on pursuing a career in finance, big data or the sciences. This course will be an introduction to linear algebra. The topics covered will be the following: - Propositional and First Order Logic - Set Theory and Mathematical Proofs - Complex Numbers - Properties of Vectors in R^n - Cross products, dot products, projections and equations of lines and planes. - Matrices - Solving Systems of Linear Equations - Determinants - Vector Spaces - Eigenvalues and Eigenvectors - Diagonalisation - Basis Representations and Linear Transformations - Inner Product Spaces

Tutor Qualifications

Lectured this module in several universities. I hold a PhD in mathematics.

✋ ATTENDANCE POLICY

It is recommended that you attend all the sessions but there will be no strict attendance policy.

Dates

July 5 - August 3

Learners

20 / 500

Total Sessions

7

About the Tutor

I am an Assistant Professor of mathematics at the University of Nottingham in the UK. I am experienced in both mathematics research as well as mathematics education. I want to make my sessions as active and open as possible so students feel comfortable participating. Additionally, I have experience in using modern software to develop online lectures and digital lecture material. I look forward to meeting many of you in my sessions and learning some interesting mathematics/physics along the way.

View James G's Profile

Upcoming Sessions

0

Past Sessions

7
5
Jul

Session 1

Orientation

In this session we will outline the key ideas for the course as well as motivate the subject. We will also organise a fixed time for the sessions and agree on how many to run per week. Depending on the size of the cohort we will introduce ourselves to one another.
8
Jul

Session 2

Other

In this session we will continue with the topic of propositional logic and introduce the binary operators as well as modus ponens, modus tollens and the notion of equivalence.
13
Jul

Session 3

Other

In this session we will continue with the topic of propositional logic and introduce the binary operators as well as modus ponens, modus tollens and the notion of equivalence.
20
Jul

Session 4

Other

In this session we will start looking at first order logic and in particular introduce the idea of predicates and predictive variables.
22
Jul

Session 5

Other

We will continue with the topic of first order logic and introduce the concept of universal, existential and uniqueness quantifies.
27
Jul

Session 6

Other

We will continue with the topic of first order logic and introduce the concept of universal, existential and uniqueness quantifies.
3
Aug

Session 7

Other

Finish off the topic of first order logic and move onto mathematical proofs.

Public Discussion

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