Professor Leonard Courses

How to Evaluate Functions - Precalculus - College Algebra 3

Learn to evaluate functions, compose functions, and understand the Difference Quotient in this comprehensive algebra lesson covering key concepts and practical applications.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Introduction to Population Models and Logistic Equation

Explore population models and the Logistic Equation, examining population dynamics through differential equations, including explosion and extinction scenarios.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Integrating Factor for Exact Differential Equations

Learn to solve exact differential equations using integrating factors, with step-by-step explanations and practical examples.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Solving Exact Differential Equations

Learn to solve exact differential equations with step-by-step guidance, practice problems, and in-depth explanations of key concepts and techniques.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Reducible Second Order Differential Equations, Missing X

Learn techniques for solving second order differential equations missing the 'X' variable through order reduction and substitution, with detailed examples and practice problems.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Reducible Second Order Differential Equations, Missing Y

Learn to solve reducible second-order differential equations through substitution when the "y" variable is missing, with clear examples and step-by-step explanations.

• YouTube
• 47 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video