The University of Queensland

Introduction to Software Engineering (CSSE1001)

2021 -- 2024

Recorded video lectures. [YouTube Playlist]

Functional and Logic Programming (COMP3400)

2021 -- 2024

Recorded video lectures. [YouTube Playlist]

Programming of Simulation and Analysis, Symbolic Computation Module (MATH2504)

2021 -- 2024

Recorded video lectures. [YouTube Playlist]

Programming of Simulation and Analysis, Programming Module (SCIE1000)

2021 -- 2024

Recorded video lectures. [YouTube Playlist]

University of Toronto Mississauga

Calculus for the Life Sciences

Fall 2018, Summer 2019

Recorded video lectures. [YouTube Playlist]

Lecture 0 (Welcome to MAT 134) [pdf]
Lecture 1 (The Real Line) [pdf]
Lecture 2 (Graphs and Functions) [pdf]
Lecture 3 (Trig and Exponential Functions) [pdf]
Lecture 4 (Inverses and Logarithms) [pdf]
Lecture 5 (Limits and Limit Laws) [pdf]
Lecture 6 (Limits with Infinity, Continuity, and IVT) [pdf]
Lecture 7 (Tangents and the Differential Operator) [pdf]
Lecture 8 (Differentiation Rules and Rates of Change) [pdf]
Lecture 9 (Derivatives of Trig Functions) [pdf]
Lecture 10 (Chain Rule and Implicit Differentiation) [pdf]
Lecture 11 (Derivatives of Inverse Functions) [pdf]
Lecture 12 (Related Rates) [pdf]
Lecture 13 (Extreme Values and MVT) [pdf]
Lecture 14 (Monotonicity, Oblique Asymptotes, and Curve Sketching) [pdf]
Lecture 15 (L'Hopital's Rule) [pdf]
Lecture 16 (Applied Optimization) [pdf]
Lecture 17 (Antiderivatives) [pdf]
Lecture 18 (Midterm Review) [pdf]
Lecture 19 (Area Estimation/Finite Sums) [pdf]
Lecture 20 (Limits of Finite Sums) [pdf]
Lecture 22 (Definite Area Substitution and Area Between Curves) [pdf]
Lecture 23 (Volumes, Volumes of Rotation, Arc Length, Surface Area) [pdf]
Lecture 24 (Table Lookup and Integration by Parts) [pdf]
Lecture 25 (Trig Integration) [pdf]
Lecture 26 (Trig Substitution) [pdf]
Lecture 27 (Partial Fractions) [pdf]
Lecture 28 (Averages) [pdf]
Lecture 29 (Indefinite Integrals) [pdf]
Lecture 30 (Sequences) [pdf]
Lecture 31 (Series) [pdf]
Lecture 32 (Integral Test / Comparison Test) [pdf]
Lecture 33 (Alternating Series/Ratio and Root Test) [pdf]
Lecture 34 (Alternating Series Test) [pdf]
Lecture 35 (Power Series and Taylor Series) [pdf]

Introduction to Computer Programming

Fall 2018, Fall 2019

Recorded video lectures. [YouTube]

Lecture 0 - Welcome to CSC 108 [pdf]
Lecture 1 - Python as a Calculator [pdf]
Lecture 2 - Functions and Procedures [pdf]
Lecture 3 - Logic and Booleans [pdf]
Lecture 4 - Scope [pdf]
Lecture 5 - Designing Functions [pdf]
Lecture 6 - Strings, Indexing, and Slicing [pdf]
Lecture 7 - If. Then. Else. [pdf]
Lecture 8 - Simplifying if statements. [pdf]
Lecture 9 - For-Loops [pdf]
Lecture 10 - More For Loops [pdf]
Lecture 11 - Loop Practice [pdf]
Lecture 13 - While Loops [pdf]
Lecture 14 - Lists [pdf]
Lecture 15 - Lists and Looping [pdf]
Lecture 16 - List Practice [pdf]
Lecture 17 - File IO [pdf]
Lecture 18 - More File IO [pdf]
Lecture 19 - Dictionaries [pdf]
Lecture 20 - Docstring Testing [pdf]
Lecture 21 - More Docstring Testing [pdf]
Lecture 22 - Lazy Literature [pdf]
Lecture 24 - Sorting [pdf]
Lecture 25 - Bubble Sort, Insertion Sort [pdf]
Lecture 26 - Algorithmic Complexity [pdf]
Lecture 27 - Object Oriented Programming [pdf]
Lecture 28 - Object Magix [pdf]
Lecture 29 - Total and Partial Ordering [pdf]

University of Newcastle Australia

Set Theory and Logic

Winter 2015

Course notes.

Mathematical Discovery 1

Fall 2015

Course notes.

Videos of lectures:

Logic and the Geometry of Complex Arithmetic. [YouTube]
Euler's Formula, De Moivre's Theorem, Root and the Fundamental Theorem of Algebra. [YouTube]
Regions in the Complex Plane. [YouTube]
Introduction to Vectors. [YouTube]
Dot Product, Projections, and Cross Product. [YouTube]
Lines, Planes, and Hyperplanes. [YouTube]
Matrices and Linear Systems. [YouTube]
Operations on Matrices and Inverting Matrices [YouTube]