Graph Theory Courses

Master linear algebra: theory and implementation in code

6702 ratings at Udemy

Learn concepts in linear algebra and matrix analysis, and implement them in MATLAB and Python.

• Udemy
• 1 day 9 hours 46 minutes
• Self-Paced
• Paid Course

Blockchain Theory 101

5686 ratings at Udemy

Basic description, applications, and implication of blockchain technology

• Udemy
• 1 hour 27 minutes
• Self-Paced
• Free Online Course

Quantum Theory - The Heisenberg Uncertainty Principle: Oxford Mathematics 2nd Year Student Lecture

Explore the Heisenberg Uncertainty Principle in quantum theory, its mathematical proof, and physical implications for measuring particle position and momentum.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Information Theory: Huffman and Arithmetic Codes - Lecture 7

Explore Huffman's optimal code construction and the practical advantages of Arithmetic codes in this information theory lecture from Oxford's 3rd year mathematics course.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Information Theory: Tunstall's Code - Lecture 8

Explore Tunstall's algorithm for optimal variable-input, fixed-output encoding in information theory, building on arithmetic codes to create efficient compression systems.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Introducing Codes in Information Theory - Lecture 3

Delve into compression codes and efficient information storage, exploring the Kraft-McMillan theorem and its implications for encoding character sequences in information theory.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Information Theory: Shannon's Code - Lecture 6

Explore Shannon's code construction in information theory, including optimal prefix codes related to rooted trees and recursive code construction techniques.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Information Theory: Typical Sequences and the Kraft-McMillan Inequality - Lecture 4

Delve into the Kraft-McMillan inequality and Asymptotic Equipartition Property, exploring how the law of large numbers influences sequences of random observations in information theory.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Differential Equations 1 - Higher Order Ordinary Differential Equations Theory and Practice - Lecture 1

Explore higher order ODEs, extending Picard's Theorem to coupled systems while analyzing plane autonomous systems through critical points and linear stability analysis.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Basic Properties of Information Theory - Lecture 2

Delve into entropy, Shannon information, and their algebraic relationships, exploring how conditional variables affect entropy and connect random outcomes in information theory.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Information Theory: Optimal Codes and Block Coding - Lecture 5

Delve into optimal coding principles and block coding techniques, exploring theoretical optimums, finite sequence encoding, and the construction of asymptotically optimal codes using typical sequences.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Algebraic Solution of the Harmonic Oscillator in Quantum Theory - Lecture 2

Master algebraic methods for solving harmonic oscillator problems in quantum theory, focusing on canonical commutation relations and the application of raising and lowering operators.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Differential Equations 1 - Higher Order Ordinary Differential Equations Theory and Practice - Lecture 2

Explore plane autonomous systems, critical points, linear stability analysis, and phase plane plotting in this Oxford differential equations lecture.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Mathematical Modelling in Biology - Enzyme Kinetics and Perturbation Theory - Lecture 2

Explore enzyme-substrate reactions using separation of timescales and perturbation analysis to derive solutions and simplify complex biological systems.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Deep Learning and NLP: Seq2Seq Model Theory + ChatGPT Prizes

4920 ratings at Udemy

Learn the Theory of Deep Natural Language Processing with the Seq2Seq model and enjoy several ChatGPT Prizes at the end!

• Udemy
• 8 hours 26 minutes
• Self-Paced
• Paid Course