Teaching
Teaching
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Bridging Mathematics (A)
Bridging Mathematics (A)
General Information:
Materials: books are not necessary (notes will be provided below) but the material can also largely be found in:
Stroud, KA., Booth, J., (2020). Engineering Mathematics.
Stroud, KA., Booth, J., (2020). Advanced Engineering Mathematics.
Singh, K. (2011). Engineering Mathematics Through Applications. <--- Chapter 15, B1-B3 only
Online resources: Paul's Online Maths Notes and fergalsmathswebsite.wordpress.com are excellents aids.
Bridging Mathematics (A): Syllabus, V2, updated 7/9. Look here for answers to common questions (e.g. grade breakdown and assessment details).
Monday: Lectures 1-3, ALGEBRA. V1, updated 7/9. Class notes. <-- Filled in, in-class
Tuesday: Lectures 4-6, CALCULUS. V1, updated 8/9. Class notes.
Wednesday: Lectures 7-9, INTEGRATION (& Complex Numbers). V2, updated 9/9. Class notes.
Thursday: Lectures 10-12, MULTIVARIABLE DERIVATIVES. V1, updated 10/9. Class notes.
Friday: VECTOR ALGEBRA & GRAD/CURL/DIV. V1, updated 11/09. Class notes.
Level curves, & functions of 2 variables
Level curves, & functions of 2 variables
For a different view on the same material, check out Paul's Online Notes.
Two useful tools to visualise surfaces/graphs of functions of two variables are Desmos and Geogebra.
Partial derivatives are everywhere
Partial derivatives are everywhere
To the right, I have the link to the GIF of a solution to the 2D wave equation, mentioned in class.
I also have a Geogebra link where you can visualise the partial derivatives as slopes on any surface, and visualise the tangent plane to any surface!
A Basic Idea of Machine Learning: Gradients
A Basic Idea of Machine Learning: Gradients
In this (extra curricular) example, I use gradients to predict the height of a child based on the height of their parents. This is exactly the method by which machine learning algorithms operate!
Mathematics 101(A)
Mathematics 101(A)
General Information:
Materials: books are not necessary (notes will be provided below) but the material can also largely be found in:
Stroud, KA., Booth, J., (2020). Engineering Mathematics.
Bird J., (2021). Bird's Basic Engineering Mathematics.
Online resources: Paul's Online Maths Notes and fergalsmathswebsite.wordpress.com are excellents aids.
Maths 101(A) Syllabus, V2, updated 15/9. Look here for answers to common questions (e.g. grade breakdown and assessment details).
Topic 1: Conversions, V1, updated 15/9. Class notes <-- Filled in, in-class
Topic 2: Fractions, V1, updated 15/9. Class notes (part 1).
Topic 3: BOMDAS, V1, updated 15/9. Class notes.
Mathematics 101H(A)
Mathematics 101H(A)
General Information:
Materials: books are not necessary (notes will be provided below) but the material can also largely be found in:
Stroud, KA., Booth, J., (2020). Engineering Mathematics.
Bird J., (2021). Bird's Basic Engineering Mathematics.
Online resources: Paul's Online Maths Notes and fergalsmathswebsite.wordpress.com are excellents aids.
Maths 101H(A) Syllabus, V2, updated 15/9. Look here for answers to common questions (e.g. grade breakdown and assessment details).
Part A: Functions and Graphs, V1, updated 15/9. Class notes <-- Filled in, in-class
Mathematics 301(A)
Mathematics 301(A)
General Information:
Materials: books are not necessary (notes will be provided below) but the material can also largely be found in:
Stroud, KA., Booth, J., (2020). Engineering Mathematics.
Bird J., (2021). Bird's Basic Engineering Mathematics.
Online resources:
Lebl's Differential Equations for Engineers <--- free online textbook; Chapter 6 most relevant
Linear Analysis <--- a course I taught in the US with a lot of the same material
Maths 301(A) Syllabus, V2, updated 17/9. Look here for answers to common questions (e.g. grade breakdown and assessment details).
Part A: Integration I, V1, updated 17/9. Class notes. <-- Filled in, in class
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