Mathematics Courses and Certifications

ICTP Mathematics

Algebraic Topology

Master algebraic topology fundamentals through comprehensive lectures covering topological spaces, homotopy theory, and homological methods in this ICTP diploma program.

• YouTube
• 15 hours 42 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Abstract Algebra

Master fundamental algebraic structures including groups, rings, and fields through comprehensive lectures by Lothar Göttsche at ICTP Mathematics.

• YouTube
• 1 day 6 hours 15 minutes
• Self-Paced
• Free Video

ChibiAkumas

Learn RISC-V Assembly Programming

Discover RISC-V assembly programming from absolute beginner to advanced concepts including stack operations, conditions, bit manipulation, and register handling.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Complexity Explorer

Vector and Matrix Algebra Tutorial

Master fundamental linear algebra concepts including vectors, matrices, determinants, eigenvalues, and their applications in geometric transformations and Markov chains.

• YouTube
• 4 hours 25 minutes
• Self-Paced
• Free Video

Michel van Biezen

Geometry - Circles

Master circle geometry through comprehensive lessons on radius, diameter, circumference, arc length, inscribed angles, tangent lines, and chord properties with practical examples.

• YouTube
• 2 hours 44 minutes
• Self-Paced
• Free Video

Michel van Biezen

Geometry Chapter 5 - Triangles: Types, Angles, Sides, and Congruency

Master triangle properties, types, angle relationships, and congruency through comprehensive problem-solving with distance formulas, exterior angle theorem, and SSS/SAS postulates.

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

Michel van Biezen

Trigonometry - Overview and Identities Derived

Master trigonometric identities through detailed derivations of sum/difference formulas, double/half angles, and product-to-sum conversions to build deep understanding.

• YouTube
• 2 hours 49 minutes
• Self-Paced
• Free Video

Michel van Biezen

Algebra - Distance Rate Time, Mixture Problems, Factoring, Series, and Percentages

Master essential algebra concepts through distance-rate-time problems, factoring techniques, mixture problems, percentages, and age word problems with step-by-step solutions.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video

Michel van Biezen

Calculus 2 - Arc Length of Curves

Master arc length calculations through integral derivations and 14 practical examples covering exponential, logarithmic, trigonometric functions, and geometric curves.

• YouTube
• 1 hour 56 minutes
• Self-Paced
• Free Video

Center for Science of Information NSF STC

Combinatorics - Rule of Sum, Rule of Product, Permutations, and Combinations

Discover fundamental counting principles including permutations, combinations, binomial coefficients, and problem-solving techniques for discrete mathematical structures.

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

UofU Data Science

Probability and Statistics - Spring 2023

Master probability theory and statistical inference through conditional probability, Bayes' rule, random variables, expectation, hypothesis testing, and t-distributions.

• YouTube
• 1 day 13 hours 31 minutes
• Self-Paced
• Free Video

Python Tutorials for Digital Humanities

Python for Social Networks

Explore NetworkX and Matplotlib to build and analyze social networks, working with various data formats and creating dynamic visualizations with PyVis.

• YouTube
• 2 hours 29 minutes
• Self-Paced
• Free Video

Mr. Scott

Math 30-1 - Transformations and Radicals

Master function transformations, reflections, stretches, and radical equations through comprehensive problem-solving techniques and inverse function analysis.

• YouTube
• 5 hours 12 minutes
• Self-Paced
• Free Video

Mr. Scott

Math 30-1 - Exponential and Logarithmic Functions

Master exponential and logarithmic functions through transformations, equation solving, logarithm laws, and real-world applications in this comprehensive Math 30-1 tutorial.

• YouTube
• 3 hours 34 minutes
• Self-Paced
• Free Video

Mr. Scott

Math 30-1 - Chapter 6: Trigonometric Identities

Master trigonometric identities through proving techniques, sum/difference formulas, double angle identities, and equation solving strategies for advanced mathematics.

• YouTube
• 2 hours 47 minutes
• Self-Paced
• Free Video