Professor Leonard Courses

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

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

Properties of Functions - Extrema

Learn to identify and define local and absolute extrema in functions, essential for understanding function behavior and optimization problems.

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

Features of Graphs, Domain, Range - Precalculus - College Algebra

Explore key concepts of function graphs including domain, range, and other essential features in this comprehensive precalculus lesson.

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

Operations of Functions - Precalculus - College Algebra

Learn to add, subtract, multiply, and divide functions while determining their domains. Master essential algebraic operations for precalculus and college-level mathematics.

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

Finding the Domain of Functions - Precalculus - College Algebra 4

Learn to identify and determine function domains, a crucial skill for understanding and analyzing mathematical relationships in precalculus and college algebra.

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

Introduction to Functions - Precalculus - College Algebra 2

Explore the concept of functions, learn to identify functional relationships, and understand their significance in precalculus and college algebra.

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

Harvesting Populations in Differential Equations

Explore the impact of harvesting and stocking on logistic and explosion/extinction differential equations in population dynamics.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Stability of Critical Points - Differential Equations

Explore critical points in differential equations to determine solution behavior, enhancing your understanding of stability and general solution characteristics.

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

Equilibrium Solutions and Stability of Differential Equations

Explore equilibrium solutions, critical points, and their impact on population dynamics in differential equations. Gain insights into stability analysis.

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

Population Growth and Decline - Differential Equations

Explore population dynamics through differential equations, examining growth and decline models before delving into harvesting concepts.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Using Partial Fractions in Differential Equations

Learn to apply partial fractions in solving differential equations, focusing on separation of variables techniques. Enhance your problem-solving skills in advanced calculus.

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

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