Quadratic Forms Courses and Certifications

MySecretMathTutor

Pre-Calculus - Comprehensive Foundation Course

Master essential pre-calculus concepts from quadratic equations and polynomial functions to trigonometry and complex numbers through comprehensive problem-solving techniques.

• YouTube
• 9 hours 18 minutes
• Self-Paced
• Free Video

ICTP Mathematics

On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms

Explore the Riemann zeta-function, Fourier analysis, and quadratic forms in number theory. Delve into Selberg's theorem, Berry's conjecture, and representation of integers by quadratic forms.

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

Insights into Mathematics

Geometric Graph Theory - Weyl Groups, Root Systems and Quadratic Forms

Explore geometric graph theory through the Mutation Game, examining root systems, Weyl groups, and quadratic forms. Discover how graphs generate unique geometrical structures and reflection groups.

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

Mr. Robinson's Virtual Math Classroom

Characteristics of Quadratic Equations - Forms, Components and Graphing

Master quadratic equations through extensive practice with vertex, standard, and intercept forms. Analyze key components including vertices, intercepts, and symmetry through 84 varied problems with detailed solutions.

• YouTube
• 3 hours 45 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Moments of Margulis Functions and Values of Ternary Quadratic Forms

Delve into the quantitative Oppenheim conjecture for ternary quadratic forms, exploring Margulis functions and distribution of values of indefinite quadratic forms at integral points.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Anisotropic Quadratic Forms Over Global Fields Are Diophantine

Discover how anisotropic quadratic forms over global fields can be classified as Diophantine using class field theory and uniform descriptions across field completions.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Linear Algebra

Master fundamental linear algebra concepts, from matrices and determinants to eigenvalues and quadratic forms, building essential skills for science, engineering, and data analysis applications.

• XuetangX
• Self-Paced
• Free Online Course

Linear Algebra

To illustrate the beauty and power of Linear Algebra.

• XuetangX
• Self-Paced
• Free Online Course

Insights into Mathematics

Historical Development of Group Theory - From Number Theory to Geometry

Explore the historical development of group theory, from its roots in number theory and algebra to its impact on geometry, covering key concepts and influential mathematicians.

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

Spahn's Science Lectures

College Physics 1 - Mathematics Review

Comprehensive mathematics review covering exponents, fractions, and equation-solving, laying the foundation for advanced physics concepts in subsequent lectures.

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

Insights into Mathematics

Hyperbolic Geometry Is Projective Relativistic Geometry - Full Lecture

Explore hyperbolic geometry as projective relativistic geometry, covering key concepts, models, and theorems. Gain insights into quadrance, spread, trigonometry, and unique results like the Jumping Jack theorem.

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

Tom Rocks Maths

Quadratic Formula Derivation and Application to Penalty Kicks and Archery

Derive the quadratic formula and apply it to real-world scenarios in football and archery. Learn 'completing the square' method and solve problems in penalty kicks and projectile motion.

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

Professor Leonard

Using the Quadratic Formula - Precalculus - College Algebra

Master the quadratic formula to solve complex equations efficiently. Learn step-by-step techniques for finding roots and understanding their significance in algebra and real-world applications.

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

Insights into Mathematics

Metrical Structure and Curvature of a Parabola - Differential Geometry

Explore metrical structures and curvature in differential geometry, focusing on parabolas. Learn about symmetric bilinear forms, relativistic geometries, and their applications in physics.

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

Insights into Mathematics

Duality, Polarity and Projective Linear Algebra - Differential Geometry Lecture 11

Explores projective geometry, quadratic forms, and pole-polar duality in relation to the unit circle. Connects these concepts to Lorentz/Einstein/Minkowski geometry and Apollonius' work.

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