Professor Leonard Courses

Birth Rates and Death Rates in Differential Equations

Explore how birth and death rates impact population growth through differential equation modeling, enhancing understanding of demographic dynamics.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Basic Population Models in Differential Equations

Explore population change modeling using differential equations, focusing on rate of change proportional to population size. Learn key concepts for analyzing population dynamics.

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

What Are Exact Differential Equations

Learn to identify, understand, and solve exact differential equations, exploring their origins and applications in mathematical modeling.

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

How Embedded Derivatives Can Make Differential Equations Easier

Discover how embedded derivatives simplify complex differential equations, making problem-solving more efficient and accessible for advanced mathematics students.

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

Solving Differential Equations with Embedded Derivative Substitutions

Learn a unique technique for solving differential equations by identifying and utilizing embedded derivative substitutions within the equation.

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

How to Solve Bernoulli Differential Equations

Learn to solve Bernoulli Differential Equations through clear explanations and multiple examples, enhancing your understanding of this advanced mathematical concept.

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

Solving Differential Equations with a Composition - Obvious Substitution

Learn techniques for solving differential equations using composition substitution, focusing on obvious substitutions involving function compositions.

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

Solving Homogeneous First Order Differential Equations

Learn to solve homogeneous first-order differential equations using separation of variables, with a review of integration techniques for comprehensive understanding.

• YouTube
• 1 hour 55 minutes
• Self-Paced
• Free Video

Substitutions for Homogeneous First Order Differential Equations

Learn techniques for solving homogeneous first-order differential equations using substitutions to transform them into separable equations, enhancing your problem-solving skills in advanced calculus.

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

Mixture Problems in Linear Differential Equations

Learn to solve complex mixture problems using linear first-order differential equations, enhancing your mathematical problem-solving skills in real-world applications.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Solving Linear Differential Equations with an Integrating Factor

Learn to solve linear first-order differential equations using integrating factors. Explore examples and techniques for tackling these mathematical challenges effectively.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Introduction to Linear Differential Equations and Integrating Factors

Learn to solve linear first-order differential equations using integrating factors, understanding the theory and practical applications of this essential mathematical technique.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Applications with Separable Equations - Differential Equations

Learn to solve real-world problems using separable differential equations, focusing on exponential growth and decay applications in various fields.

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

Separable Equations with Initial Values

Learn to solve separable differential equations with initial values, a crucial skill in advanced mathematics and engineering applications.

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

Separable Differential Equations

Learn to solve separable differential equations using separation of variables, with numerous examples to reinforce understanding and practical application.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video