Math Fundamentals (2020)

Go to class
Write Review

Math Fundamentals (2020) provided by Brilliant is a comprehensive online course, which lasts for 12-15 hours worth of material. Upon completion of the course, you can receive an e-certificate from Brilliant. The course is taught in Englishand is Paid Course. Visit the course page at Brilliant for detailed price information.

Overview
  • This course is retiring soon, check out our new course in Math Fundamentals

Syllabus
    • Introduction to Math Fundamentals: Explore the foundations of algebra and logic without any rote memorization.
      • Reverse Engineering Arithmetic: Find the patterns and you'll be able to solve these puzzles.
      • Understanding Math Visually: Algebra was never meant to be memorized. Learn a new way to see.
      • Cascading Deductions: Solving these Sudoku-like puzzles will take both algebra and strategy.
    • Numerical Reasoning: Find the pattern, then make predictions.
      • Take Care Where You Start: Unpack a strategy that you'll use in every problem you encounter.
      • Hypothesize Test Adapt: Keep in mind that a hypothesis is NOT just a guess.
      • Rewrite Redraw Rethink: These problems aren't about elephants, they're about fractions.
      • Wishful Thinking: Meet the Calcdoku. Sudoku pales in comparison.
      • Reusable Insights: Building problem-solving skills takes practice – stay on the lookout for useful patterns.
    • Logical Reasoning: Logic shows you how to win!
      • Systematic Logical Thinking: You can't trust everything you hear, but you'll always have logic.
      • Werewolves of London: Werewolves are predictably treacherous creatures. But they make for great puzzles.
      • Elimination Cascades: Once you eliminate the impossible, whatever remains must be the truth.
      • Mad Hatter Puzzles: You'll need to keep track of what other people might think you are thinking.
      • Repairing Broken Puzzles: These puzzles can't be solved – until you fix them.
    • Visually Understanding Algebra: A new way of learning the algebra and identities that you thought you knew.
      • Divisibility: You won't believe this visual trick that makes number theory look obvious.
      • The Distributive Property: If you replace algebra with geometry, you'll never need to factor again.
      • Difference of Squares: This isn't how you learned this identity at school.
      • Square Roots: Now there is more than one right answer.
      • The Quadratic Formula: You've used it, you've memorized it, now derive it with squares.
    • Algebraic Reasoning: Build and practice problem solving strategies with these algebra puzzles.
      • Choose Your Numbers Carefully: Algebra is all about maintaining symmetry and balance.
      • Algebraic Information: Learn how to track down all the information you need from a problem.
      • Rates and Ratios: You'll need to reframe these problems to put the numbers in order.
      • Advanced Cryptograms: These puzzles are tough, but you have all the skills you need.
      • Number Courtyards: Some of these problems look impossible. They aren't.
      • Advanced Design and Optimization: Evaluate and design calcdoku, operator search, and grid fill problems.
    • What Comes Next?: Connect the concepts you've learned in this course to new avenues of math and science.
      • Logic, Algebra, and Number Theory: You've met the big players, but there's a lot more to come.
      • Geometry and Probability: Explore the next steps in your mastery of mathematics.
      • Computer Science and Physical Science: Explore the world and apply what you've learned.