Professor Leonard Courses

Graphing Transformations with Tangent and Cotangent - Precalculus - Trigonometry

Explore graphing techniques for tangent and cotangent functions, including vertical translation, amplitude, reflection, and period manipulation in trigonometry.

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

Graphing Transformations with Sine and Cosine - Precalculus - Trigonometry

Learn to graph sine and cosine functions with various transformations, mastering vertical shifts, stretches, and reflections for a solid foundation in trigonometry.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Pythagorean Identities for Trigonometric Functions

Explore even, odd, and Pythagorean identities in trigonometry, their origins, and applications, with a focus on the Unit Circle and related corollaries.

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

Reciprocal Identities in Trigonometry - Precalculus - Trigonometry

Explore reciprocal identities in trigonometry, connecting unit circle concepts with right triangle trigonometry for a deeper understanding of these fundamental relationships.

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

Trigonometric Functions and the Unit Circle - Precalculus - Trigonometry

Explore the Unit Circle's creation, its connection to right triangle trigonometry, and the development of trigonometric functions in this comprehensive precalculus lesson.

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

Proof by Mathematical Induction - Precalculus - College Algebra

Learn to prove summation formulas using Mathematical Induction, a powerful technique for verifying mathematical statements across infinite sets of natural numbers.

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

Geometric Series - Precalculus - College Algebra

Learn to calculate partial and infinite sums of geometric series, mastering key concepts in precalculus and college algebra for advanced mathematical problem-solving.

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

Arithmetic Sequences - Precalculus - College Algebra

Learn to identify and create arithmetic sequences by finding common differences and first terms in this concise, practical lesson.

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

Introduction to Series and Summation Notation

Learn to calculate series efficiently using summation formulas and understand the concept of series based on sequences in this comprehensive tutorial.

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

Exponential Growth and Decay - Precalculus - College Algebra

Explore exponential growth and decay concepts, including population modeling, half-life, and Newton's Law of Cooling, to enhance your understanding of real-world mathematical applications.

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

Review of Compound Interest - Precalculus - College Algebra

Explore exponentials and logarithms in financial applications, focusing on compound interest calculations for practical money management skills.

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

Solving Logarithmic Equations with Exponentials - Precalculus - College Algebra

Learn to solve logarithmic equations using exponential notation, enhancing your precalculus and college algebra skills with clear, step-by-step explanations.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Solving Logarithms with Common Bases - Precalculus - College Algebra

Learn to solve logarithmic equations by equating arguments of common-base logarithms. Master this essential precalculus skill with clear explanations and examples.

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

How to Combine Logarithms - Precalculus - College Algebra

Learn to expand logarithmic expressions using key properties, enhancing your understanding of logarithms and their applications in precalculus and college algebra.

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

How to Expand Logarithms - Precalculus - College Algebra

Learn to expand logarithmic expressions using key properties, enhancing your algebra skills for precalculus and beyond.

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