Mathematics (Technical)

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Basic Algebra

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Calculus

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Differential Equations

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Topology

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Analysis

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Abstract Algebra

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Linear Algebra

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Differential Geometry

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Set Theory & Logic

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Probability & Stats

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Misc Math

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Singularities and Fano Varieties in Birational Geometry by Prof. Caucher Birkar

Singularities and Fano Varieties in Birational Geometry by Prof. Caucher Birkar

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Morphing the Torbus Cup

Morphing the Torbus Cup

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The Monty Hall Problem - Christmas Lectures with Ian Stewart

The Monty Hall Problem - Christmas Lectures with Ian Stewart

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Evaluate an Expression Using the Order of Operations: a+b(c+d)

Evaluate an Expression Using the Order of Operations: a+b(c+d)

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  • Date added Aug 2, 2018
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Evaluate an Expression Using the Order of Operations: a+b(c-d)

Evaluate an Expression Using the Order of Operations: a+b(c-d)

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Evaluate an Expression Using the Order of Operations: a/b+(c-d)^2

Evaluate an Expression Using the Order of Operations: a/b+(c-d)^2

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Evaluate an Expression Using the Order of Operations: a+b(c+d), (a+b)(c+d)

Evaluate an Expression Using the Order of Operations: a+b(c+d), (a+b)(c+d)

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Evaluate an Expression Using the Order of Operations: a+b/c+d*f

Evaluate an Expression Using the Order of Operations: a+b/c+d*f

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Evaluate an Expression Using the Order of Operations: a-b(c*d-e)

Evaluate an Expression Using the Order of Operations: a-b(c*d-e)

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Ex 1:  Evaluate an Expression using Order of Operations:  a^2-bcd (integers)

Ex 1: Evaluate an Expression using Order of Operations: a^2-bcd (integers)

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Ex 2:  Evaluate an Expression using Order of Operations:  a^2-bcd (integers)

Ex 2: Evaluate an Expression using Order of Operations: a^2-bcd (integers)

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Ex 3:  Evaluate an Expression using Order of Operations:  a^2-bcd (integers)

Ex 3: Evaluate an Expression using Order of Operations: a^2-bcd (integers)

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Ex 4:  Evaluate an Expression using Order of Operations:  a^2-bcd (integers)

Ex 4: Evaluate an Expression using Order of Operations: a^2-bcd (integers)

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Ex: Evaluate an Expressions Using  Order of Operations:  a/b*c , a-b+c (integers)

Ex: Evaluate an Expressions Using Order of Operations: a/b*c , a-b+c (integers)

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Ex: Evaluate an Expression Using  Order of Operations:  a-b*c (integers)

Ex: Evaluate an Expression Using Order of Operations: a-b*c (integers)

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Exponential Notation

Exponential Notation

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Example:  Write Repeated Multiplication in Exponential Form

Example: Write Repeated Multiplication in Exponential Form

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Ex 1:  Determine Factors of a Number

Ex 1: Determine Factors of a Number

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Ex 2:  Determine Factors of a Number

Ex 2: Determine Factors of a Number

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Ex 3:  Determine Factors of a Number

Ex 3: Determine Factors of a Number

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Ex 1:  Prime Factorization

Ex 1: Prime Factorization

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Ex 2:  Prime Factorization

Ex 2: Prime Factorization

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Ex 3:  Prime Factorization

Ex 3: Prime Factorization

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Ex 1: Prime Factorization Using Stacked Division

Ex 1: Prime Factorization Using Stacked Division

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Ex 2: Prime Factorization Using Stacked Division

Ex 2: Prime Factorization Using Stacked Division

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Examples:  Writing Variable Expressions

Examples: Writing Variable Expressions

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Examples Part 1:  Evaluating Variable Expressions

Examples Part 1: Evaluating Variable Expressions

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Examples Part 2:  Evaluating Variable Expressions

Examples Part 2: Evaluating Variable Expressions

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Order of Operations  (L1.1)

Order of Operations (L1.1)

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Order of Operations with Whole Numbers

Order of Operations with Whole Numbers

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Write Equivalent Numerical Expressions

Write Equivalent Numerical Expressions

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Simplify Basic Expressions in Fraction Form

Simplify Basic Expressions in Fraction Form

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Ex 1: Simplify an Expression in Fraction form (Order of Operations)

Ex 1: Simplify an Expression in Fraction form (Order of Operations)

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Ex 2: Simplify an Expression in Fraction form (Order of Operations)

Ex 2: Simplify an Expression in Fraction form (Order of Operations)

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Ex 3: Simplify an Expression in Fraction form (Order of Operations)

Ex 3: Simplify an Expression in Fraction form (Order of Operations)

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Ex: Evaluate an Expressing Using the Order of Operations

Ex: Evaluate an Expressing Using the Order of Operations

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Ex: Evaluate Expressions - Square of a Sum and the Sum of Squares

Ex: Evaluate Expressions - Square of a Sum and the Sum of Squares

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Examples:  Evaluate Exponential Expressions

Examples: Evaluate Exponential Expressions

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Ex:  Evaluate Exponential Expression

Ex: Evaluate Exponential Expression

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Example 1:  Evaluate An Expression Using The Order of Operations

Example 1: Evaluate An Expression Using The Order of Operations

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Example 2:  Evaluate An Expression Using The Order of Operation

Example 2: Evaluate An Expression Using The Order of Operation

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Example 3:  Evaluate An Expression Using The Order of Operation

Example 3: Evaluate An Expression Using The Order of Operation

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Additive and Multiplicative Reason - The Tree Problem

Additive and Multiplicative Reason - The Tree Problem

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Additive and Multiplicative Reason - The Broomstick Problem

Additive and Multiplicative Reason - The Broomstick Problem

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Additive Reasoning - Running Laps

Additive Reasoning - Running Laps

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Multiplicative Reasoning - Comparing Savings Accounts

Multiplicative Reasoning - Comparing Savings Accounts

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Write Equivalent Numerical Expressions

Write Equivalent Numerical Expressions

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Examples:  Rounding Whole Numbers

Examples: Rounding Whole Numbers

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Ex: Rounding to the Nearest Ten - Number Line / Formal Rules

Ex: Rounding to the Nearest Ten - Number Line / Formal Rules

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Ex: Rounding to the Nearest Hundred - Number Line / Formal Rules

Ex: Rounding to the Nearest Hundred - Number Line / Formal Rules

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Ex: Rounding to the Various Place Values - Number Line / Formal Rules

Ex: Rounding to the Various Place Values - Number Line / Formal Rules

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Ex: Round a 3 Digit Number to Tens and Ten Thousands (tricky)

Ex: Round a 3 Digit Number to Tens and Ten Thousands (tricky)

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Ex: Round a 4 Digit Number to Tens and Ten Thousands (tricky)

Ex: Round a 4 Digit Number to Tens and Ten Thousands (tricky)

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Ex: Round a 4 Digit Number to Hundreds and Thousands (tricky)

Ex: Round a 4 Digit Number to Hundreds and Thousands (tricky)

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Estimating Addition and Subtraction Problems Involving Whole Numbers

Estimating Addition and Subtraction Problems Involving Whole Numbers

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Estimating Multiplication and Division Problems Involving Whole Numbers

Estimating Multiplication and Division Problems Involving Whole Numbers

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Solving Equations by Addition and Subtraction

Solving Equations by Addition and Subtraction

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Ex:  Solve One Step Equations By Adding and Subtracting Whole Numbers (Var. on Left)

Ex: Solve One Step Equations By Adding and Subtracting Whole Numbers (Var. on Left)

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Ex:  Solve One Step Equations By Adding and Subtracting Whole Numbers (Var on Right)

Ex: Solve One Step Equations By Adding and Subtracting Whole Numbers (Var on Right)

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Solving Equations by Multiplying and Dividing

Solving Equations by Multiplying and Dividing

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Ex:  Solve One Step Equations By Multiplying and Dividing Whole Numbers (Var. on Left)

Ex: Solve One Step Equations By Multiplying and Dividing Whole Numbers (Var. on Left)

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Ex:  Solve One Step Equations By Multiplying and Dividing Whole Numbers(Var on Right)

Ex: Solve One Step Equations By Multiplying and Dividing Whole Numbers(Var on Right)

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Partitive Division with Base 10 Blocks: 3 Digit Divided by 1 Digit with No Remainder

Partitive Division with Base 10 Blocks: 3 Digit Divided by 1 Digit with No Remainder

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Column Divisions: 3 Digit Divided by 1 Digit with Remainder

Column Divisions: 3 Digit Divided by 1 Digit with Remainder

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Partitive Division with Base 10 Blocks: 3 Digit Divided by 1 Digit with Remainder

Partitive Division with Base 10 Blocks: 3 Digit Divided by 1 Digit with Remainder

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Ex: Long Division - Four Digit Divided by One Digit (With Remainder)

Ex: Long Division - Four Digit Divided by One Digit (With Remainder)

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Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (With Remainder)

Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (With Remainder)

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Ex: Long Division - 3 Digit Divided by 2 Digit (No Remainder)

Ex: Long Division - 3 Digit Divided by 2 Digit (No Remainder)

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Ex: Division Using Partial Quotient - 3 Digit Divided by 2 Digit (No Remainder)

Ex: Division Using Partial Quotient - 3 Digit Divided by 2 Digit (No Remainder)

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Ex: Long Division - 3 Digit Divided by 2 Digit (With Remainder)

Ex: Long Division - 3 Digit Divided by 2 Digit (With Remainder)

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Ex: Division Using Partial Quotient - 3 Digit Divided by 2 Digit (With Remainder)

Ex: Division Using Partial Quotient - 3 Digit Divided by 2 Digit (With Remainder)

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Ex: Long Division - 4 Digit Divided by 2 Digit (No Remainder)

Ex: Long Division - 4 Digit Divided by 2 Digit (No Remainder)

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Ex: Division Using Partial Quotient - 4 Digit Divided by 2 Digit (No Remainder)

Ex: Division Using Partial Quotient - 4 Digit Divided by 2 Digit (No Remainder)

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Ex: Long Division - 4 Digit Divided by 2 Digit (With Remainder)

Ex: Long Division - 4 Digit Divided by 2 Digit (With Remainder)

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Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (With Remainder)

Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (With Remainder)

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>Multiply Whole Numbers to Solve Applications

>Multiply Whole Numbers to Solve Applications

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Divide Whole Numbers to Solve Applications

Divide Whole Numbers to Solve Applications

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Divide and Multiply Whole Numbers to Solve Applications

Divide and Multiply Whole Numbers to Solve Applications

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Total Cost using Addition and Multiplication

Total Cost using Addition and Multiplication

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Mental Math: Multiplication Using Compensation

Mental Math: Multiplication Using Compensation

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Mental Math: Division Using Compensation

Mental Math: Division Using Compensation

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Differential Equations and Applications (NPTEL):- Lecture 01: General Introduction

Differential Equations and Applications (NPTEL):- Lecture 01: General Introduction

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Differential Equations and Applications (NPTEL):- Lecture 02: Examples I

Differential Equations and Applications (NPTEL):- Lecture 02: Examples I

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Differential Equations and Applications (NPTEL):- Lecture 03: Examples II

Differential Equations and Applications (NPTEL):- Lecture 03: Examples II

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Differential Equations and Applications (NPTEL):- Lecture 04: Examples III

Differential Equations and Applications (NPTEL):- Lecture 04: Examples III

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Differential Equations and Applications (NPTEL):- Lecture 05: Linear Algebra I

Differential Equations and Applications (NPTEL):- Lecture 05: Linear Algebra I

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Differential Equations and Applications (NPTEL):- Lecture 06: Linear Algebra II

Differential Equations and Applications (NPTEL):- Lecture 06: Linear Algebra II

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Differential Equations and Applications (NPTEL):- Lecture 07: Linear Algebra III

Differential Equations and Applications (NPTEL):- Lecture 07: Linear Algebra III

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Differential Equations and Applications (NPTEL):- Lecture 08: Analysis I

Differential Equations and Applications (NPTEL):- Lecture 08: Analysis I

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Differential Equations and Applications (NPTEL):- Lecture 09: Analysis II

Differential Equations and Applications (NPTEL):- Lecture 09: Analysis II

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Differential Equations and Applications (NPTEL):- Lecture 11: Exact Equations

Differential Equations and Applications (NPTEL):- Lecture 11: Exact Equations

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