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# Mathematical Fundamentals

## The essential tools for mastering algebra, logic, and number theory!

In this course, we'll introduce the foundational ideas of algebra, number theory, and logic that come up in nearly every topic across STEM.

This course is ideal for anyone who's either starting or re-starting their math education. You'll learn many essential problem solving techniques and you'll need to think creatively and strategically to solve each challenge. Each exploration is designed to push your mathematical skills to the next level.

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1. 1

### Introduction to Math Fundamentals

Explore the foundations of algebra and logic without any rote memorization.

1. #### Reverse Engineering Arithmetic

Find the patterns and you'll be able to solve these puzzles.

2. #### Understanding Math Visually

Algebra was never meant to be memorized. Learn a new way to see.

Solving these Sudoku-like puzzles will take both algebra and strategy.

2. 2

### Numerical Reasoning

Find the pattern, then make predictions.

1. Included with

#### Take Care Where You Start

Unpack a strategy that you'll use in every problem you encounter.

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Keep in mind that a hypothesis is NOT just a guess.

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#### Rewrite Redraw Rethink

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#### Wishful Thinking

Meet the Calcdoku. Sudoku pales in comparison.

3. 3

### Logical Reasoning

Logic shows you how to win!

1. Included with

#### Systematic Logical Thinking

You can't trust everything you hear, but you'll always have logic.

2. Included with

#### Werewolves of London

Werewolves are predictably treacherous creatures. But they make for great puzzles.

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Once you eliminate the impossible, whatever remains must be the truth.

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You'll need to keep track of what other people might think you are thinking.

4. 4

### Visually Understanding Algebra

A new way of learning the algebra and identities that you thought you knew.

1. Included with

#### Divisibility

You won't believe this visual trick that makes number theory look obvious.

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#### The Distributive Property

If you replace algebra with geometry, you'll never need to factor again.

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#### Difference of Squares

This isn't how you learned this identity at school.

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#### Square Roots

Now there is more than one right answer.

5. 5

### Algebraic Reasoning

Build and practice problem solving strategies with these algebra puzzles.

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Algebra is all about maintaining symmetry and balance.

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#### Algebraic Information

Learn how to track down all the information you need from a problem.

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#### Rates and Ratios

You'll need to reframe these problems to put the numbers in order.

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These puzzles are tough, but you have all the skills you need.

6. 6

### What Comes Next?

Connect the concepts you've learned in this course to new avenues of math and science.

1. Included with

#### Logic, Algebra, and Number Theory

You've met the big players, but there's a lot more to come.

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