Professor Leonard Courses

Prealgebra Lecture - Adding and Subtracting Polynomials

A prealgebra lecture on adding and subtracting polynomials by combining like terms and distributing negative signs.

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

Prealgebra Lecture - Simplifying Complex Fractions and Order of Operations with Fractions

Simplify complex fractions and solve fraction problems using addition, division, and correct order of operations.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Prealgebra Lecture - Multiplication of Whole Numbers. Area of a Rectangle

Learn multiplication of whole numbers and apply it to finding the area of rectangles using square units and word problems.

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

Statistics Lecture - Confidence Interval for the Sample Mean, Population Standard Deviation Known

Learn to construct confidence intervals for a population mean when the population standard deviation is known, including margin of error, critical values, and sample size.

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

How to Graph Basic Polar Equations - Precalculus - Trigonometry

Learn to graph basic polar equations by converting them to rectangular equations and recognizing conic sections or basic functions.

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

How to Convert From Polar Equations to Rectangular Equations - Precalculus - Trigonometry

Learn to convert polar equations to rectangular equations using trigonometric identities.

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

How to Convert From Rectangular Equations to Polar Equations - Precalculus - Trigonometry

Learn to convert rectangular equations into polar equations using trigonometric identities.

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

How to Convert From Rectangular Coordinates to Polar Coordinates

Convert rectangular-coordinate points to polar form using trigonometric relationships and quadrant-aware inverse tangent.

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

How to Convert From Polar Coordinates to Rectangular Coordinates - Precalculus - Trigonometry

Learn to use trigonometric relationships to convert points from polar coordinates to rectangular coordinates.

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

Simple Harmonic Motion in Trig - Precalculus - Trigonometry

Explains simple harmonic motion through sine and cosine functions and the functional models they create.

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

How to Use the Law of Sines in Trigonometry

Learn when the Law of Sines applies and use it to find missing sides and angles in oblique triangles.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

How to Use Product to Sum and Sum to Product Formulas in Trig

Learn to apply and prove product-to-sum and sum-to-product formulas for sine and cosine.

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

How to Use the Double and Half Angle Formulas for Trigonometry

Learn to apply double-angle and half-angle formulas through numerous trigonometry examples.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Proving the Double and Half Angle Formulas for Trigonometry

Derive the double- and half-angle formulas for sine, cosine, and tangent to understand their origins and develop further trigonometric identities.

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

Introduction to Sum and Difference Formulas in Trigonometry

Learn how sum and difference formulas derive and help find exact trigonometric values for angles beyond the unit circle.

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