Professor Leonard Courses

How to Graph Tangent and Cotangent - Precalculus - Trigonometry

Learn to graph tangent and cotangent functions, understanding their unique shapes, vertical asymptotes, intercepts, and key points in trigonometry.

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

The Graphs of Sine and Cosine - Precalculus - Trigonometry

Explore the origins and key features of sine and cosine graphs, understanding their visual representations and underlying principles.

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

Basic Properties of Trigonometric Functions - Precalculus - Trigonometry

Explore trigonometric functions' properties, ranges, and periods. Learn techniques to simplify angles and discover common misconceptions in this comprehensive trigonometry lesson.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

How to Use the Unit Circle in Trigonometry

Master the unit circle for evaluating trigonometric functions, including sine, cosine, tangent, and more. Learn to find angles, handle negative angles, and apply Pythagoras theorem.

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

Area of a Sector, Angular Velocity, Applications - Precalculus - Trigonometry 5

Explore sector area, arc length, angular velocity, and rotational concepts with practical applications in trigonometry and precalculus.

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

Converting Radians and Degrees - Precalculus - Trigonometry

Learn to convert between radians and degrees, developing formulas and practicing conversions in this comprehensive trigonometry lesson.

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

Introduction to Angles - Precalculus - Trigonometry

Learn about angles in standard position on the coordinate system, including quadrant angles and positive angles, to build a strong foundation for trigonometry.

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

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

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