Polynomials Courses and Certifications

Precalculus 2: Polynomials and rational functions

116 ratings at Udemy

The Algebra 2 topics of polynomials and rational functions, preparing for studies of Calculus

• Udemy
• 1 day 18 hours 6 minutes
• On-Demand
• Paid Course

Rings and polynomials

2 ratings at OpenLearn

This free course contains an introduction to rings and polynomials. We see that polynomial rings have many properties in common with the integers; for example, we can define a division algorithm, ...

• OpenLearn
• 16 hours
• On-Demand
• Free Certificate

MathTrackX: Polynomials, Functions and Graphs

9 ratings at edX

Develop an understanding of polynomials, functions and graphs and how these build the foundation for more complex mathematical concepts.

• edX
• 4 weeks, 3-6 hours a week
• On-Demand
• Free Online Course (Audit)

Fields Institute

Some Properties of the Specht Polynomials

Explore key properties of Specht polynomials in algebra, geometry, and combinatorics with insights from Junzo Watanabe's research presentation at the Fields Institute workshop.

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

Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory - Lecture III

Explore transcendence theory, Baker's Theorem, and the structural rank conjecture. Learn complex analysis and commutative algebra techniques for proving lower bounds on logarithmic matrices.

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

Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory - Lecture II

Explore advanced transcendence theory concepts, focusing on auxiliary polynomials and their applications in proving Baker's Theorem and the Masser-Waldschmidt theorem on logarithmic matrices.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory

Explore transcendence theory, focusing on Baker's Theorem and the structural rank conjecture. Learn complex analysis and commutative algebra techniques for proving key results in number theory.

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

Simons Institute

The Space of Lorentzian Polynomials

Explore Lorentzian polynomials, projective varieties, and discrete convexity with June Huh. Delve into quadratic forms, M-convexity, and algebraic intuition in this advanced mathematical lecture.

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

Simons Institute

Real-Rooted Polynomials

Explore real-rooted polynomials, their properties, and connections to combinatorics in this comprehensive lecture covering fundamental theorems, root interlacing, and applications to random spanning trees.

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

Simons Institute

Nonnegative Polynomials, Nonconvex Polynomial Optimization, and Applications to Learning

Explore nonnegative polynomials and nonconvex optimization, focusing on shape-constrained regression and DC programming. Learn powerful relaxation techniques and their applications in machine learning.

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

Brian McLogan

Characteristics of Polynomials - Polynomials - Pre-Calculus

Explore zeros, multiplicity, and end behavior of polynomials in factored form. Learn to sketch polynomial graphs using these characteristics and the Intermediate Value Theorem.

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

Insights into Mathematics

Lines and Parabolas I - Arithmetic and Geometry Math Foundations

Explore lines and parabolas using algebraic calculus, covering y-intercepts, slopes, x-intercepts, quadratic polynomials, Taylor expansions, derivatives, and tangent lines in elementary mathematics.

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

Insights into Mathematics

Polynomials and Sequence Spaces - Wild Linear Algebra - NJ Wildberger

Explore polynomials as sequences, introducing factorial powers and difference operators. Learn about forward/backward differences, Newton's theorem, and formulas for summing series, with practical examples and exercises.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Professor Leonard

Creating Polynomials from Complex Solutions - Precalculus - College Algebra

Learn to construct polynomial functions from complex solutions, focusing on complex conjugate pairs and irreducible quadratics in this comprehensive algebra lesson.

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

Professor Leonard

Adding Polynomials

Learn to add polynomials efficiently by combining like terms, with step-by-step guidance on removing parentheses and practical exercises to reinforce your understanding.

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