Critical Points Courses and Certifications

Calculus II: Multivariable Functions

This course provides an overview of bachelor-level calculus of multivariable functions (Calculus II). You will review many basic concepts related to differentiation and integration of multivariable functions.

• edX
• 6 weeks, 4-6 hours a week
• On-Demand
• Free Online Course (Audit)

London School of Economics and Political Science

Mathematics 1 Part 1: Differential Calculus

7 ratings at edX

The first in a series of two courses from LSE which help you to master mathematics fundamentals and build your quantitative skillset for progression in high-growth careers, or to use as step towards further study at undergraduate level.

• edX
• 5 weeks, 12-15 hours a week
• On-Demand
• Free Online Course (Audit)

Bounds on Morse-Novikov Numbers of 3-Manifolds

Explore the bounds on Morse-Novikov numbers of 3-manifolds with Ken Baker from the University of Miami. Learn about critical points, knot types, and more in 1-2 hours.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

The Organic Chemistry Tutor

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

Master calculus concepts like increasing/decreasing intervals, critical points, concavity, and inflection points with The Organic Chemistry Tutor. Less than 1-hour video tutorial with plenty of examples.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

The Organic Chemistry Tutor

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

Master calculus concepts of absolute and local extrema, critical numbers, and differentiation techniques with The Organic Chemistry Tutor. Expect 1-2 hours of engaging video content.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

rootmath

Calculus

Master calculus with rootmath's comprehensive 12-hour program, covering topics from limits to integrals, including derivatives, extrema, and antiderivatives.

• YouTube
• 12 hours
• On-Demand
• Free Online Course

Khan Academy

Graphing with Derivatives - Differential Calculus

Master graphing with derivatives in under an hour with Khan Academy's free, interactive online material.

• YouTube
• 25 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Matthew Kahle - Topology of Configuration Spaces of Hard Spheres

Explore the topology of hard spheres configuration spaces with Matthew Kahle's material from the Applied Algebraic Topology Network. Expect 1-2 hours of study.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Morse-Based Fibering of the Rank Invariant

Explore multi-parameter persistence in data analysis with Applied Algebraic Topology Network. Learn to compute rank invariants using discrete Morse theory in under an hour.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Catastrophe Theory

Explore catastrophe theory with Applied Algebraic Topology Network. Learn about critical points, the algebra of germs, and universal unfoldings. Includes practical chemistry application.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Fields Institute

Describing Blaschke Products by Their Critical Points

Explore critical points of Blaschke products with Oleg Ivrii from Tel Aviv University in this 1-2 hour program offered by Fields Institute. Dive into inner functions, Frostman shift, and more.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

Professor Leonard

Stability of Critical Points - Differential Equations

Learn to use critical points for determining solutions to differential equations with Professor Leonard. Expect 1-2 hours of material.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Online Course