Professor Leonard Courses

Graphs of Exponential Functions - Precalculus - College Algebra

Explore exponential function graphs, understanding their unique shapes, key points, and asymptotes for a deeper grasp of this fundamental mathematical concept.

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

Finding Inverse Functions - Precalculus - College Algebra

Learn to find inverse functions and create one-to-one functions by restricting domains. Master essential precalculus concepts for advanced mathematics.

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

Finding Domain of Composite Functions - Precalculus - College Algebra

Learn to perform function composition and determine domains of composite functions in this comprehensive precalculus lesson.

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

Inequalities with Rational Functions - Precalculus - College Algebra

Explore solving inequalities with rational functions, focusing on x-intercepts and vertical asymptotes to determine solution intervals on the x-axis. Enhance your precalculus and college algebra skills.

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

Inequalities with Functions - Graphically

Explore graphical interpretations of polynomial and rational function inequalities, focusing on comparisons with y=0. Enhance understanding of function behavior and inequality solutions visually.

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

Graphing Rational Functions with Transformations - Precalculus - College Algebra

Learn to graph rational functions with transformations, focusing on vertical asymptotes and their behavior. Master techniques for accurately determining multiplicity and creating precise graphs.

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

Finding All Solutions of Polynomials

Learn to fully factor polynomials over complex numbers and find all solutions, including complex ones, in this comprehensive algebra lesson.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

How to Use the Rational Zeros Theorem - Precalculus - College Algebra

Learn to apply the Rational Zeros Theorem to find potential rational roots of polynomial functions, enhancing your problem-solving skills in precalculus and college algebra.

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

Descartes Rule of Signs - Precalculus - College Algebra

Learn to determine polynomial function x-intercepts using Descartes' Rule of Signs, a powerful technique for analyzing polynomial behavior and roots.

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

Synthetic Division and Long Division of Polynomials - Precalculus - College Algebra

Learn techniques for dividing polynomials using synthetic and long division methods, essential for understanding the Rational Zeros Theorem in precalculus and college algebra.

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

How to Sketch Polynomial Functions - Precalculus - College Algebra

Learn to graph polynomial functions by identifying key points, multiplicities, and end behaviors for accurate visual representations.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Creating Polynomials from Real Zeros - Precalculus - College Algebra

Learn to construct polynomial functions from given x-intercepts using factors and the Zero Product Property, enhancing your understanding of algebraic relationships.

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

Multiplicity and End Behavior of Polynomials - Precalculus - College Algebra

Explore multiplicity of zeros, graphing techniques, and end behavior analysis for polynomial functions, enhancing your understanding of advanced algebraic concepts.

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

Power Functions - Precalculus - College Algebra

Explore power functions and their role in determining polynomial end-behavior, enhancing your understanding of advanced algebraic concepts.

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

Solving Quadratic Inequalities - Precalculus - College Algebra

Learn to solve quadratic inequalities, understand their meaning, and discover their applications in higher mathematics with clear explanations and examples.

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