Polynomials Courses and Certifications

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)

Brian McLogan

Polynomials

Comprehensive guide to polynomials covering characteristics, binomial expansion, real, irrational, and complex zeros. Includes practical examples and step-by-step solutions for various polynomial-related problems.

• YouTube
• 5 hours 15 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

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

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

Ryan O'Donnell

Polynomials

Explore polynomials, from formal definitions to applications in finite fields, interpolation, and error-correcting codes for noisy communication channels.

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

Ryan O'Donnell

Great Ideas in Theoretical Computer Science - Polynomials

Explore theoretical computer science through polynomials, covering fields, division, evaluation, interpolation, and error-correcting codes. Gain insights into fundamental concepts and their applications.

• YouTube
• 1 hour 15 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

Lamee Storage

Polynomials and Polynomial Functions

Explore polynomial functions, their properties, operations, and theorems. Learn classification, behavior analysis, factoring techniques, and division methods for a comprehensive understanding.

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

Brian McLogan

Irrational Zeros of Polynomials - Polynomials - Pre-Calculus

Comprehensive guide to finding irrational zeros of polynomials using factoring, division methods, and theorems. Includes practical examples and step-by-step explanations for mastering this pre-calculus topic.

• YouTube
• 57 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

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