Professor Leonard Courses

Using Substitutions to Solve Equations - Precalculus - College Algebra

Learn to simplify complex equations into manageable quadratics using substitution techniques, enhancing your problem-solving skills in precalculus and college algebra.

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

Using the Quadratic Formula - Precalculus - College Algebra

Master the quadratic formula to solve complex equations efficiently. Learn step-by-step techniques for finding roots and understanding their significance in algebra and real-world applications.

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

Completing the Square Made Easy

Master the technique of completing the square for quadratic functions, understanding both the process and underlying principles in this comprehensive tutorial.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

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