Unlocking Advanced Topics - Inequalities and Optimization Techniques
Welcome to Episode 9 of Season 3: Unlocking Advanced Topics! The episode explores mathematical inequalities, beginning with the Trivial Inequality which states that all perfect squares are non-negativ...
10 Aug 202512min
Unlocking Advanced Topics - Floor and Ceiling Functions
Welcome to Episode 8 of Season 3: Unlocking Advanced Topics! Today's audio offers foundational understanding of floor and ceiling functions. The episode begins by defining key terms like greatest inte...
3 Aug 20258min
Unlocking Advanced Topics - Complex Numbers: Foundations and Operations
Welcome to Episode 7 of Season 3: Unlocking Advanced Topics! Today's audio offers a foundational understanding of complex numbers, beginning with their basic definition as numbers expressed in the for...
26 Jul 20256min
Unlocking Advanced Topics - Geometric Trigonometry: Triangle Area and Laws of Sines & Cosines
Welcome to Episode 6 of Season 3: Unlocking Advanced Topics! The audio focuses on geometric trigonometry, specifically detailing how to calculate the area of a triangle using trigonometric functions. ...
20 Jul 202510min
Unlocking Advanced Topics - Algebraic Trigonometry: Identities, Graphs, and Problems
Welcome to Episode 5 of Season 3: Unlocking Advanced Topics! This audio presents a comprehensive overview of trigonometric identities and their applications. It begins by introducing Pythagorean Ident...
13 Jul 20258min
Unlocking Advanced Topics- Trigonometric Identities and Values
Welcome to Episode 4 of Season 3: Unlocking Advanced Topics! The audio outlines various foundational concepts within trigonometry. It begins by defining basic trigonometric identities for sine, cosine...
6 Jul 202514min
Unlocking Advanced Topics - Complex Numbers Basics
Welcome to Episode 3 of Season 3: Unlocking Advanced Topics! This audio provides a comprehensive introduction to complex numbers. It begins by defining complex numbers and exploring the properties of...
29 Jun 202511min
Unlocking Advanced Topics - Law of Cosines and Law of Sines
Welcome to Episode 2 of Season 3: Unlocking Advanced Topics! This episode is focused on geometry problems, specifically related to the AMC 10 and AMC 12 competitions. Several examples demonstrate the ...
22 Jun 202512min
