Professor Leonard Courses

Special Integration in a Linear Differential Equation Problem

Learn advanced techniques for solving complex linear first-order differential equations, including product rule, substitutions, long division, and integrated factor methods.

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

Existence and Uniqueness of Solutions - Differential Equations

Explore existence and uniqueness of differential equation solutions, covering key concepts like continuity, neighborhoods, and initial values. Learn to determine when solutions exist and are unique.

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

Introduction to Slope Fields

Explore slope fields in differential equations through constructive methods and hands-on computer graphing applications for a deeper understanding of their functionality.

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

Problem Solving with Velocity and Acceleration - Differential Equations 8

Explore velocity and acceleration problem-solving using differential equations and integrals, with numerous practical examples to enhance understanding and application.

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

Differential Equations with Velocity and Acceleration

Explore the application of differential equations to velocity and acceleration problems, enhancing your understanding of motion and physics concepts.

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

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
• Self-Paced
• Free Video

Graphing Systems of Linear Inequalities

Learn to graph and interpret systems of linear inequalities, including shading techniques and solution interpretation using the slope-intercept method.

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

Elimination Method with More Advanced Problems

Explore advanced elimination techniques for solving complex equations, including fractions and incorrect forms, to enhance problem-solving skills.

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

Graphing Lines Using a Point and the Slope

Learn to graph lines efficiently using a point and slope, mastering techniques for plotting points, finding y-intercepts, and solving word problems.

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

Discovering the Slope Formula

Learn the origins, derivation, and application of the slope formula in mathematics, including vertical change and practical usage.

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

Linear Equations With Two Variables - Graphing Lines

Learn to graph linear equations, understand their relation to line graphs, and explore efficient techniques for plotting points and analyzing slopes.

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

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

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

Calculus 3 Lecture - How to Find Divergence and Curl of Vector Fields

Learn to calculate and interpret divergence and curl in vector fields, essential concepts in multivariable calculus with clear explanations and examples.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Calculus 3 Lecture - Constrained Optimization with LaGrange Multipliers

Learn to optimize multivariable functions with constraints using gradients and LaGrange multipliers. Master this powerful calculus technique through clear explanations and challenging examples.

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