Critical Points Courses and Certifications

Tom Rocks Maths

Oxford Calculus - Partial Differentiation, Critical Points, PDEs, and Fourier Series

Master advanced calculus concepts including partial differentiation, critical points, PDEs, Jacobians, Taylor's theorem, heat equations, and Fourier series with Oxford methodology.

• YouTube
• 6 hours 28 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Catastrophe Theory

Explore catastrophe theory, covering critical points, germs, classification theorems, unfoldings, and elementary catastrophes. Visualize concepts and discover applications in chemistry.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Absolute and Local Minimum and Maximum Values - Relative Extrema, Critical Numbers - Points Calculus

Comprehensive guide to finding absolute and local extrema in calculus, covering critical points, derivative tests, and various function types with practical examples and problem-solving techniques.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Up and Atom

Phase Transitions and the Ising Model: Understanding Critical Points at 770°C

Explore the fascinating physics of phase transitions at 770°C through the Ising Model, discovering critical points, scale invariance, and universal patterns in nature's transformative processes.

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

Professor Leonard

Stability of Critical Points - Differential Equations

Explore critical points in differential equations to determine solution behavior, enhancing your understanding of stability and general solution characteristics.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Applications of Derivatives - Rolle's and Mean Value Theorem, Concavity, Critical and Inflection Points

Master essential calculus concepts from derivatives to theorems, including critical points, concavity, Rolle's theorem, and mean value theorem with practical applications and formula explanations.

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

Fields Institute

Describing Blaschke Products by Their Critical Points

Explore critical points in Blaschke products, inner functions, and related theorems. Gain insights into analytic function spaces and their applications in complex analysis.

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

Centre de recherches mathématiques - CRM

On the Critical Points of Steklov Eigenfunctions

Explore critical points of Steklov eigenfunctions on Riemannian manifolds, examining relationships between eigenfunction indexes, boundary behavior, and Euler characteristics.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Density of Smooth Functions with No Critical Points within the Set of Continuous Functions

Explore the density of smooth functions without critical points within constraint sets in this mathematical workshop presentation.

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

BIMSA

Critical Points of Eisenstein Series and Spectrum of the Lame Operator

Explore critical points of Eisenstein series E2, E4, E6 and their applications to the Lame operator's spectrum in this advanced mathematics lecture.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Rigidity of Critical Points of Hydrophobic Capillary Functionals

Explore rigidity theorems for volume-preserving critical points of capillary energy in hydrophobic regimes, covering contact angles from 90° to 180° without regularity assumptions.

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

University of Huddersfield

Differential Calculus Fundamentals

Master differential calculus fundamentals including derivatives, optimization, and advanced differentiation techniques for real-world problem-solving across technical fields.

• Coursera
• 10 hours 52 minutes
• Self-Paced
• Paid Course

Tom Rocks Maths

Oxford Calculus - Classifying 2D Critical Points Using the Discriminant

Learn to classify 2D critical points using the discriminant method. Explore maximum, minimum, and saddle points with visualizations and step-by-step derivations for multivariable functions.

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

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
• Self-Paced
• 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
• Self-Paced
• Free Video