Mathematics Courses and Certifications

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 10

Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with applications to complex mathematical problems.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 7

Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

ICTP Mathematics

Probability Invariant Measure, Dynamical Partition and Hitting Times of Circle Map with Singularities

Explore circle dynamics and recent findings in circle maps with break or critical points, focusing on probability invariant measures, dynamical partitions, and hitting times.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

ICTP Mathematics

Analytic Spread of Filtrations

Explore the mathematical concept of analytic spread in filtrations, delving into its properties and applications in algebraic geometry and commutative algebra.

• YouTube
• 51 minutes
• On-Demand
• Free Video

ICTP Mathematics

Singularity Invariants in Positive Characteristic

Explore singularity invariants in positive characteristic mathematics, focusing on advanced concepts and their applications in algebraic geometry and related fields.

• YouTube
• 54 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Powers of Ideals - Part 2

Explore advanced concepts in tight closure theory, focusing on symbolic powers of ideals and their applications in algebraic geometry and commutative algebra.

• YouTube
• 44 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamics of Smooth Surface Diffeomorphisms: Strong Positive Recurrence - ICTP 2021

Explore advanced concepts in smooth surface diffeomorphisms, focusing on strong positive recurrence and its implications for dynamical systems theory.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamics of Smooth Surface Diffeomorphisms: Entropy Continuity of Exponents - ICTP 2021

Explore entropy continuity and exponents in smooth surface diffeomorphisms with Jerome Buzzi, delving into advanced mathematical concepts and their applications in dynamical systems.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Let's Code Physics

The Lonely Runner Conjecture - Simulation and Explanation

Explore the intriguing Lonely Runner Conjecture through simulation, understanding its simplicity and the challenge of proving it conclusively.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Professor Leonard

Solving Logarithmic Equations with Exponentials - Precalculus - College Algebra

Learn to solve logarithmic equations using exponential notation, enhancing your precalculus and college algebra skills with clear, step-by-step explanations.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Professor Leonard

Operations with Negative Exponents

Learn to manipulate negative exponents and apply them in order of operations, enhancing your mathematical problem-solving skills.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Professor Leonard

The Quotient Rule for Exponents

Learn to divide monomials using the Quotient Rule for Exponents and understand its connection to negative exponents in this concise, informative tutorial.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Professor Leonard

Introduction to Negative Exponents

Learn to understand and apply negative exponents, including key rules for working with monomials in this comprehensive mathematical explanation.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Professor Leonard

Exponent Rules - Advanced Problems

Master advanced exponent rule applications through challenging problems, enhancing your algebraic skills and problem-solving abilities.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Professor Leonard

Exponent Rules - Power Rules

Learn to apply power rules for exponents, enhancing your algebraic skills and problem-solving abilities in mathematics.

• YouTube
• 23 minutes
• On-Demand
• Free Video