Mathematics Courses and Certifications

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Power Series Review

Comprehensive review of power series convergence, covering radius and interval calculations using ratio test with multiple examples and tan(x) expansion.

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

Jeremy Klassen

Sequences and Series

Comprehensive exploration of arithmetic and geometric sequences and series, featuring in-depth lessons and numerous practice problems for mastery of mathematical concepts and problem-solving skills.

• YouTube
• 6 hours
• On-Demand
• Free Video

Jeremy Klassen

Transformations

Comprehensive exploration of mathematical transformations, covering translations, reflections, stretches, and rotations. Includes lessons on radical functions, inverses, and geometric concepts, with extensive practice problems.

• YouTube
• 9 hours
• On-Demand
• Free Video

Jeremy Klassen

Exponents and Logarithms

Comprehensive exploration of exponential and logarithmic functions, covering laws, applications, and problem-solving techniques. Includes extensive practice with Math 30-1, 30-2, and 31 review questions.

• YouTube
• 20 hours
• On-Demand
• Free Video

3Blue1Brown

Olympiad Level Counting - How Many Subsets of {1,…,2000} Have a Sum Divisible by 5?

Explore advanced counting techniques using generating functions and complex numbers to solve a challenging subset sum problem, with applications to Olympiad-level mathematics.

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

3Blue1Brown

Solving Wordle Using Information Theory

Explore information theory and entropy through the lens of solving Wordle, learning strategies to optimize guesses and improve game performance.

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

3Blue1Brown

Alice, Bob, and the Average Shadow of a Cube

Explore problem-solving approaches to calculate a cube's average shadow area, comparing two methods and their implications for understanding geometric principles.

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

3Blue1Brown

Newton's Method Produces This Fractal, Why Don't We Teach It in Calculus Classes?

Explore the fascinating fractal produced by Newton's method for finding roots of polynomials, revealing unexpected complexity in a seemingly simple mathematical technique.

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

3Blue1Brown

How -and Why- to Raise e to the Power of a Matrix

Explore matrix exponentiation through engaging examples, from love dynamics to quantum mechanics, with clear animations and intuitive explanations of complex mathematical concepts.

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

3Blue1Brown

Tips to Be a Better Problem Solver - Lockdown Live Math

Explore problem-solving techniques in mathematics through engaging examples from geometry, trigonometry, and probability. Enhance your analytical skills with practical tips and interactive exercises.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

3Blue1Brown

Intuition for i to the Power i - Lockdown Live Math

Explore the intuition behind i^i through visualizations, explanations, and interactive Q&A. Dive deep into complex exponents, exponential functions, and their geometric interpretations.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

3Blue1Brown

The Power Tower Puzzle

Explore the fascinating world of power towers and tetration through puzzles, Python programs, and visual explanations. Dive deep into convergence, complex numbers, and related mathematical concepts.

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

3Blue1Brown

What Makes the Natural Log "Natural"

Explore the natural logarithm's unique properties, its relationship with prime numbers, exponentials, and derivatives. Gain insights into mathematical concepts through engaging explanations and visual demonstrations.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

3Blue1Brown

Imaginary Interest Rates - Lockdown Live Math

Explore compound interest, e, and their relation to circles in this engaging mathematical journey, connecting complex concepts to real-world applications like springs and rotations.

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

3Blue1Brown

What Is Euler's Formula Actually Saying? - Lockdown Live Math

Explore Euler's formula through interactive questions, visualizations, and Python demonstrations. Gain deep insights into exponential functions, complex numbers, and their fascinating connections.

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