Professor Leonard Courses

Geometric Sequences - Precalculus - College Algebra

Learn to identify, create, and analyze geometric sequences, including finding common ratios and general terms, in this comprehensive introduction to a key precalculus concept.

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

Introduction to Sequences - Precalculus - College Algebra

Explore sequences, their creation, common uses, and learn to find general terms. Gain essential skills for understanding this fundamental mathematical concept.

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

Solving Exponential Equations with Logarithms - Precalculus - College Algebra

Learn to solve exponential equations using logarithms and other techniques, enhancing your precalculus and college algebra skills with clear explanations and examples.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Graphing Exponential Functions with Transformations - Precalculus College Algebra

Learn to graph exponential functions using transformations, focusing on identifying key points and asymptotes in shifted locations on coordinate systems for enhanced mathematical understanding.

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

Composition of Functions - Precalculus - College Algebra

Learn to compose functions, perform composite operations, and evaluate inputs and outputs in this comprehensive algebra lesson.

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

Graphing Rational Functions

Learn to efficiently sketch rational functions using asymptotes, end behavior, intercepts, and key points for a comprehensive understanding of their graphical representations.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Finding Asymptotes and Holes of Rational Functions

Learn to identify asymptotes and holes in rational functions, essential for graphing and understanding function behavior in precalculus and college algebra.

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

Finding a Horizontal Asymptote of a Rational Function

Learn to identify, find, and understand horizontal asymptotes in rational functions, exploring their relationship with limits and end behavior.

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

Finding Vertical Asymptotes of Rational Functions

Learn to identify and analyze vertical asymptotes and holes in rational functions, understanding their impact on graph behavior and discontinuities.

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

Creating Polynomials from Complex Solutions - Precalculus - College Algebra

Learn to construct polynomial functions from complex solutions, focusing on complex conjugate pairs and irreducible quadratics in this comprehensive algebra lesson.

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

Applications of Quadratic Functions - Precalculus - College Algebra

Explore practical applications of quadratic functions and inequalities, covering revenue optimization, domain analysis, and area maximization in real-world scenarios.

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

How to Graph with Transformations - Precalculus - College Algebra

Learn to quickly sketch functions using transformations, including reflection and key point identification, enhancing your graphing skills in precalculus and college algebra.

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

Introduction to Graph Transformations - Precalculus - College Algebra

Learn to apply and understand graph transformations, including horizontal and vertical shifts, stretches, compressions, and reflections for basic functions in precalculus and college algebra.

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

How to Graph Piecewise Functions - Precalculus - College Algebra

Master graphing and evaluating piecewise functions, including continuous and discontinuous examples. Enhance your precalculus skills with clear explanations and practical examples.

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

Properties of Functions - Even vs Odd

Explore even and odd functions graphically and algebraically, understanding symmetry and definitions in this precalculus lesson.

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