Using the Average

Algebra Made Easy as Arithmetic 2021-E

Introduction to the course (week 0)

Part 1.1: Some Important Arithmetic Shortcuts (week 1)

Digit Sums (8:18)
Using Digit Sums to Check Addition and Subtraction (11:56)
Using Digit Sums to check Multiplication and division (9:22)
The First by the First and the Last by the Last (11:00)
1st Synchronous Meeting Oct 2, 2021 (115:29)
Quiz 1

Part 1.2: Multiplying and dividing by numbers near 10 (Week 2)

Multiplying by 11, 12 and 13 (13:54)
Multiplying by 9, 8 and 7 (16:49)
Dividing by 9, 8 and 7 (14:36)
Dividing by 11, 12 and 13 (9:16)
2nd Synchronous Class Session, Oct 9, 2021 (102:48)
Quiz # 2

Part 1.3: Vertically and Crosswise (week 3)

Two by Two Multiplication (5:49)
Longer Multipliers (9:17)
Sliding Multiplier (8:00)
Combining and comparing fractions (8:55)
3rd Synchronous Class Session, Oct 16, 2021 (71:11)
Quiz # 3

Part 1.4: Solution of Linear equations - one variable term (week 4)

Think of a Number: One-step solutions (11:59)
Think of a Number: Two-step solutions (5:35)
Think of a Number: Three-step solutions (4:42)
4th Synchronous Class Session, Oct. 23, 2021 (75:24)
Quiz # 4

Part 1.5: Solution of linear equations - two variable terms (week 5)

Solution of equations with two variable terms: Type I (7:25)
Solution of Equations with two variable terms: Type II (8:11)
Solution of equations with two variable terms: sample problems (10:13)
5th Synchronous Class Meeting Oct 30, 2021 (63:57)
Quiz #5

Part 1:6: Solutions of Simultaneous Equations (week 6)

By Substitution (8:59)
By Addition and By Subtraction (12:32)
x and y Coefficients Interchanged (9:07)
General Method of Solving a System of Equations in Two Variables (15:47)
6th Synchronous Class Meeting Nov 6, 2021 (81:55)
Quiz #6

Part 2.1: Checking Devices and Multiplication of Polynomials (week 7)

The First by The first and the Last by the Last (4:53)
The Product of the Sum is the Sum of the Products (8:39)
Multiplying Binomials (5:20)
Multiplying Trinomials and Longer polynomials (11:52)
7th Synchronous Meeting, Nov 13, 2021 (85:06)
Quiz #7

Par 2.2: Special Polynomial Multiplication (week 8)

Part 2.3: Special Polynomial Division (week 9)

Division by ( x - 1) (6:43)
Division by ( x - 1) (9:38)
Division by ( x ± a) (12:00)
9th Synchronous Class Meeting, Nov. 20, 2021 (78:11)
Quiz # 9

Part 2.4: Conventional Methods of Solving Quadratic Equations (week 10)

Reversing DPMA: the First step in Factoring (14:10)
Factoring when A = 1 (14:08)
The AC Method Of Factoring (13:35)
10th Synchronous Meeting November 27, 2021 (62:07)
Quiz #10

Part 2.5: Vedic Methods of Solving Quadratic Equations (week 11)

Tirthaji's Method of Factoring (11:00)
Special Case Factoring (14:27)
Using The Discriminant (5:34)
The differential is Equal to the Square Root of the Discriminant (6:14)
11th Synchronous Meeting Dec. 18, 2021 (63:28)
Quiz # 11

Part 2.6 : More Vedic Methods of solving quadratic equations(week 12)

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