School Algebra Courses and Certifications

Professor Leonard

How to Graph Piecewise Functions - Precalculus - College Algebra

Master graphing and evaluating piecewise functions, including continuous and discontinuous examples. Enhance your precalculus skills with clear explanations and practical examples.

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

Professor Leonard

Solving Linear Equations

Learn to simplify and solve linear equations step-by-step, focusing on techniques to isolate variables and combine like terms for effective problem-solving.

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

Professor Leonard

Introduction to Linear Equations

Learn the fundamental concepts and properties of linear equations, including standard form and solving techniques, with clear explanations and examples.

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

Professor Leonard

Intermediate Algebra Lecture - An Introduction to Inverse Functions

Explore one-to-one functions, inverse functions, and function composition in this comprehensive lecture on advanced algebraic concepts.

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

Valerio Velardo - The Sound of AI

Complex Numbers for Audio Signal Processing

Explore complex numbers visually for audio signal processing, covering Cartesian and polar representations, Euler's formula, and their application in Fourier transforms.

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

Michael Penn

Why Are There No 3 Dimensional "Complex Numbers"?

Explores the mathematical reasons behind the absence of 3D complex numbers, delving into algebra, quaternions, and the limitations of number systems beyond 2D complex planes.

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

Insights into Mathematics

Complex Numbers and Curves in 19th Century Mathematics

Explore complex numbers, algebraic curves, and their intersection with projective geometry and topology. Discover how these concepts revolutionized 19th-century mathematics and laid the foundation for modern algebraic geometry.

• YouTube
• 58 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

Geometric Series - Precalculus - College Algebra

Learn to calculate partial and infinite sums of geometric series, mastering key concepts in precalculus and college algebra for advanced mathematical problem-solving.

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

Professor Leonard

Arithmetic Sequences - Precalculus - College Algebra

Learn to identify and create arithmetic sequences by finding common differences and first terms in this concise, practical lesson.

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

Professor Leonard

Graphing Quadratic Functions - Precalculus - College Algebra

Learn to graph quadratic functions using vertex form, completing the square, vertex formula, and intercepts. Master essential techniques for visualizing and analyzing parabolas.

• YouTube
• 55 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

Professor Leonard

Using Factoring to Solve Quadratics - Precalculus - College Algebra

Learn efficient techniques for factoring and solving quadratic equations, including a valuable shortcut method to enhance your algebra skills.

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

Professor Leonard

The Square Root Method in Solving Quadratics - Precalculus - College Algebra

Learn to solve quadratic equations efficiently using the Square Root Method, a powerful technique for simplifying complex mathematical problems.

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

Professor Leonard

Solving Systems of Linear Equations by Graphing

Learn to visually interpret and solve systems of linear equations through graphing, understanding the intersection of lines as the solution point.

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