Critical Points Courses and Certifications

The Organic Chemistry Tutor

Concavity, Inflection Points, Increasing Decreasing, First and Second Derivative - Calculus

Comprehensive calculus tutorial covering function behavior analysis, including increasing/decreasing intervals, extrema, concavity, and inflection points using first and second derivatives.

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

Krista King

Applications of Derivatives - Optimization, Graph Sketching, Linear Approximation, Related Rates, and Physics Applications

Master optimization, graph sketching, related rates, and real-world applications using derivative techniques for physics, economics, and exponential models.

• YouTube
• 7 hours 42 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Exact Results for Metallic Quantum Critical Points - Hart Goldman

Exploring exact solutions for metallic quantum critical points, focusing on recent developments in topology, symmetry, and interactions in condensed matter physics.

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

ICTP-SAIFR

Bootstrap 2025 - AdS x S Mellin Bootstrap, Deconfined Quantum Critical Points, and Lifshitz-Zamolodchikov Theory - Day 10

Explore advanced bootstrap methods in theoretical physics through three specialized talks covering AdS/CFT correspondence, quantum critical points, and Lifshitz-Zamolodchikov connections.

• YouTube
• 2 hours 32 minutes
• On-Demand
• Free Video

Raman Research Institute

Phase Transitions and Renormalization Group: RG Calculations, Fixed Points and Critical Exponents - Lectures 7-8

Delve into advanced renormalization group theory, exploring fixed points, flows, and critical exponents in phase transitions through rigorous mathematical calculations and theoretical frameworks.

• YouTube
• 2 hours 12 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Entanglement Entropy at Deconfined and Gross-Neveu Quantum Critical Points

Explore entanglement entropy at quantum critical points with Jonathan D'emidio. Gain insights into deconfined and Gross-Neveu transitions, advancing understanding of strongly correlated gapless quantum systems.

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

Khan Academy

Graphing with Derivatives - Differential Calculus

Explore graphing techniques using derivatives in differential calculus. Learn to analyze function behavior, identify critical points, and sketch accurate graphs with this practical example from Khan Academy.

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

Math with Professor V

Calculus 1 Quick Tips - Essential Techniques and Problem-Solving Strategies

Master essential Calculus 1 concepts through quick tips covering limits, derivatives, optimization, related rates, integration, and curve sketching techniques.

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

The Organic Chemistry Tutor

Application of Derivatives - Formulas and Notes for Calculus

Explore key derivative applications in calculus, including rate of change, theorems, critical points, concavity, velocity, and acceleration. Master essential formulas and concepts for advanced problem-solving.

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

TabletClass Math

Algebra vs. Calculus - Who Wins This Graph Challenge?

Discover how algebra and calculus methods compare when finding the minimum point of a function, with clear demonstrations of vertex formulas versus derivatives to determine which approach works best for different graph problems.

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

Applied Algebraic Topology Network

Morse-Based Fibering of the Rank Invariant

Explore multi-parameter persistence in data analysis using discrete Morse theory to compute rank invariants, partition parameter space, and deduce persistence diagrams for equivalent classes of lines.

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

Applied Algebraic Topology Network

Matthew Kahle - Topology of Configuration Spaces of Hard Spheres

Explore configuration spaces, homology, and topology in hard sphere systems. Learn about critical points, computational approaches, and theoretical foundations in applied algebraic topology.

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

IMSA

Bounds on Morse-Novikov Numbers of 3-Manifolds

Explore bounds on Morse-Novikov numbers of 3-manifolds, examining circle-valued Morse functions and their critical points, with applications to knot theory and topology.

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