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Insights, tips, and guides for mastering mathematics.

Mastering Derivatives: The Easy Way
Calculus

Mastering Derivatives: The Easy Way

Calculus is arguably the most important mathematical discovery in human history. Before Calculus (sp...

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Why Matrix Multiplication Matters
Linear Algebra

Why Matrix Multiplication Matters

If you have ever played a 3D video game, used Photoshop, or run a Google Search, you have used Matri...

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Integration: Finding the Area Under the Curve
Calculus

Integration: Finding the Area Under the Curve

Integration is the superpower of "adding things up". While addition works for finite things (like ap...

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Understanding Limits: Approaching Infinity
Calculus

Understanding Limits: Approaching Infinity

Before you can do Calculus (Derivatives and Integrals), you must understand Limits. Limits are the m...

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Statistics 101: The Art of Truthtelling
Statistics

Statistics 101: The Art of Truthtelling

We live in the Information Age, but data without context is just noise. Statistics is the art of tra...

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Visualizing Math: The Power of Graphing
Algebra

Visualizing Math: The Power of Graphing

A function like f(x) = x³ - 2x + 1 is just a string of symbols. It tells you nothing about the beha...

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Equation Solving: finding 'X'
Algebra

Equation Solving: finding 'X'

The search for 'X' is the backbone of all mathematics. From calculating the tip at a restaurant to s...

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Ace Your Finals: Battlefield Strategies
Exam Tips

Ace Your Finals: Battlefield Strategies

The difference between an 'A' student and a 'B' student often isn't intelligence—it's strategy. A ...

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Trigonometry: SOH CAH TOA & Beyond
Trigonometry

Trigonometry: SOH CAH TOA & Beyond

Trigonometry is often viewed as the scary part of high school math. It involves strange words like S...

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Logarithms: The Language of Scale
Algebra

Logarithms: The Language of Scale

Logarithms are misunderstood. Students treat them like magic spells—arbitrary rules to be memorize...

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Determinants: The Volume of a Matrix
Linear Algebra

Determinants: The Volume of a Matrix

Most students learn the formula ad - bc and move on. They have no idea what it means. The Determinan...

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Projectile Motion: The Parabolic Path
Physics

Projectile Motion: The Parabolic Path

If you throw a ball, fire a cannon, or drive a car off a cliff (in a movie), they all follow the exa...

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Systems of Equations: Where Lines Meet
Algebra

Systems of Equations: Where Lines Meet

A single equation is like a clue: "The sum of two numbers is 10." There are infinite answers (5+5, 1...

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Probability: The Logic of Uncertainty
Statistics

Probability: The Logic of Uncertainty

Uncertainty is the only certainty in life. Whether you are investing in the stock market, forecastin...

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Optimization: Maximizing Your Success
Calculus

Optimization: Maximizing Your Success

If you perform a quick Google search for "What is the most useful math for business?", the answer is...

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Trigonometry in Video Game Design
Trigonometry

Trigonometry in Video Game Design

When you press 'X' to jump, pull the trigger to fire a sniper rifle, or drift around a corner in Nee...

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The Unit Circle: Your Cheat Code
Trigonometry

The Unit Circle: Your Cheat Code

If you are memorizing trigonometric values like 0.866, 0.5, or 0.707 by rote, you are doing it wrong...

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Top 10 Trig Identities You Must Know
Trigonometry

Top 10 Trig Identities You Must Know

In Calculus, you will often encounter integrals that look impossible to solve, like ∫ sin²(x) dx....

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Logarithms: The Language of Growth
Algebra

Logarithms: The Language of Growth

For centuries, multiplication was difficult and dangerous. Sailors navigating by stars had to multip...

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What does 'dx' actually mean?
Calculus

What does 'dx' actually mean?

In Calculus class, you see the symbol dx attached to the end of every integral, like a stubborn tail...

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