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Math Fundamentals
Basic Algebra
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Arithmetic & Modulo
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Exponents & Roots
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Logarithms
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Basic Algebra
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1
Intro
2
What is a Variable?
3
Vocabulary - Expression
4
Vocabulary - Equation
5
Balancing Equations
6
Solving Linear Equations
7
Quiz: Solving Equations
8
Substitution
9
Combining Like Terms
10
The Distributive Property
11
Factoring Basics
12
Quiz: Simplification
13
Inequalities
14
Why Flip the Sign?
15
The Quadratic Formula
16
Vocabulary - Discriminant
17
Systems of Equations
18
Solving by Substitution
19
Solving by Elimination
20
Quiz: Systems of Equations
21
Problem - Two Sum
22
Two Sum - The Equation
23
Two Sum - Hash Map Approach
24
Two Sum - Implementation
25
Lessons from Two Sum
26
Problem - Valid Perfect Square
27
Valid Perfect Square - The Equation
28
Valid Perfect Square - Binary Search
29
Valid Perfect Square - Implementation
30
Lessons from Valid Perfect Square
31
Problem - Container With Most Water
32
Container - The Formula
33
Container - Two Pointer Strategy
34
Container - Why Two Pointers Work
35
Container - Implementation
36
Lessons from Container
37
Algebra in Complexity Analysis
38
Recurrence Relations
39
Isolating Variables in Loops
40
Quiz: Complexity Analysis
41
Manipulating Inequalities
42
Common Algebraic Patterns in CP
43
Practice - Missing Number
44
Practice - Sqrt(x)
45
Practice - Maximum Subarray
46
Section Recap
Sequences & Summations
0/41
Number Bases
0/41
Bit Manipulation
0/41
Boolean Logic
0/40
Sets
0/41
Counting Principles
0/43
Factorials & Permutations
0/45
Combinations
0/44
Probability Basics
0/62
Divisibility & Primes
0/44
GCD & LCM
0/47
Modular Arithmetic
0/46
Big O Notation
0/49
Geometry Basics
0/45
4.1
Intro
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