About Course
This course provides students with foundations to kickstart your Math Olympiad Journey. It features beginner and intermediate concepts in Algebra, Number Theory, Combinatorics, and Geometry. By the end of the course, students will have a strong basis to continue with intermediate and advanced Olympiad topics.
What To Expect:
- Engaging Video Content: This course features several engaging lessons, accompanying exercises, and demonstrations to keep students engaged.
- Problem Sets: Each lesson comes with a problem set to reinforce understanding and improve problem-solving skills.
- Q&A Section: There’s a dedicated Q&A Section for students to engage with instructors and fellow students. Students can discuss the lessons and problem sets.
Terms and Conditions
The terms and conditions for the video series are outlined here. By purchasing and accessing the SMA Olympiad Video Series, you acknowledge that you have read, understood, and agreed to abide by these terms and conditions.
What Will You Learn?
- Learn the basics of maths olympiad for beginners and intermediaries.
Course Content
Introduction: Course Topics
introduction chapter of SMA video series
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00:00
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00:36
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02:01
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03:22
Exponents and Algorithms
Summary of the chapter Exponents and Algorithms: Laws of exponents
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07:14
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08:26
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07:25
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07:24
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12:57
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07:47
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15:42
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13:07
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11:39
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08:47
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03:00
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Exponents and Logarithms Quiz
Complex Numbers
Short summary
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The Square Root of −1
07:01 -
What Complex Numbers Are
06:20 -
Addition and Subtraction
03:10 -
Multiplication and Division
07:56 -
Other Notations
02:23 -
Recap
01:28 -
Complex Numbers Quiz
Linear Equations
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What is a Linear Equation
11:14 -
One Equation, One Variable
12:13 -
One Equation, One Variable Interlude GeoGebra
11:21 -
Two Equations, Two Variables
05:56 -
Two Equations, Two Variables Interlude GeoGebra
04:28 -
Substitution Method
04:48 -
Elimination Method
03:18 -
Two Equations, Two Variables More Examples
11:11 -
Zero or Infinitely Many Solutions
03:45 -
Zero or Infinitely Many Solutions Interlude GeoGebra
02:24 -
Word Problems Intro
09:38 -
Word Problems Moving
10:19 -
Word Problems Rate of Work
13:21 -
Recap
02:34 -
Linear Equations Quiz
Proportions
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Direct Proportions
13:30 -
Joint and Inverse Proportions
10:53 -
More Joint and Inverse Proportions
16:11 -
Manipulating Proportions
06:08 -
Conversion Factors
08:14 -
Conversion Factors Negative Exponents
05:58 -
Percent
05:46 -
Interest
03:38 -
Percent Examples
10:59 -
Recap
01:40 -
Proportions Quiz
Integers
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Divisibility
05:47 -
Number Bases
13:00 -
More Number Bases
05:50 -
Last Digit Problems
08:29 -
Modular Arithmetic
11:25 -
More Modular Arithmetic
08:33 -
Divisibility Tricks
12:28 -
Primes
10:49 -
Common Factors
05:55 -
Recap
03:46 -
Using the Integers Quiz
Quadratic Equations
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Intro
01:44 -
Factoring Quadratics
06:26 -
How to Factor Quadratics
24:27 -
Special Factorizations
05:48 -
Quadratics Interlude GeoGebra
05:57 -
Quadratic Formula
12:27 -
Quadratic Formula Examples
10:59 -
Quadratics Variations
17:48 -
Quadratics Variations Substitutions
05:39 -
Square Roots
16:38 -
More Square Roots
06:43 -
Beyond Quadratics
01:14 -
Recap
01:35 -
Quadratic Equations quiz
Factorizations and Manipulations
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Identities
06:40 -
Factorization Examples I
03:46 -
Factorization Examples II
12:09 -
Factorization Examples III
03:32 -
Manipulations
09:07 -
Recap
00:42 -
Special Factorizations and Clever Manipulations Quiz
What Numbers Are
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Naturals Integers Rationals
07:12 -
Comparing Fractions
03:57 -
Lowest Terms and Irrationals
07:32 -
Transcendentals and Reals
01:54 -
Complex Numbers
04:01 -
Recap
02:19 -
What Numbers Really Are Quiz
Angles
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Points, Lines and Angles 1
08:26 -
Points, Lines and Angles 2
09:14 -
Circles 1
06:46 -
Circles 2
08:15 -
Circles 3
09:11 -
More Notations
10:15 -
Parallel Lines
06:13 -
Corresponding and Alternating Angles
06:56 -
Well Definedness
11:07 -
Sum of Angles in a Triangle
11:24 -
Diagrams
10:46 -
Geogebra
11:46 -
Building a Good Intuition
07:33 -
Quiz 1
09:22 -
Quiz 2
10:05 -
Quiz 3
10:09 -
Quiz 4
10:29
Triangles
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Types of Triangles 1
05:51 -
Types of Triangles 2
05:50 -
Types of Triangles 3
06:38 -
Similarities 1
06:59 -
Similarities 2
06:05 -
Similarities 3
07:43 -
Similarities 4
12:00 -
Similarities 5
05:46 -
Similarities 6
06:25 -
Similarities 7
07:12 -
Similarities 8
06:40 -
Congruency
04:53 -
Pythagoras Theorem 1
09:01 -
Pythagoras Theorem 2
04:57 -
Lengths of a Parallelogram 1
08:12 -
Lengths of a Parallelogram 2
05:19 -
Lengths of a Parallelogram 3
10:51 -
Trigonometry 1
07:23 -
Trigonometry 2
10:12 -
Trigonometry 3
09:45 -
Trigonometry 4
08:49 -
Area and Sine Rule
08:20 -
Area and Cosine Rule 1
11:56 -
Area and Cosine Rule 2
07:05 -
Stewarts Theorem
05:54 -
Tangency
05:56 -
Quiz 1
10:20 -
Quiz 2
10:44 -
Quiz 3
08:55 -
Quiz 4
06:40 -
Quiz 5
11:12 -
Quiz 6
07:36
Quadrilaterals
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Basics
10:06 -
Cyclic Type
08:20 -
Tangential Type 1
06:25 -
Tangential Type 2
06:07 -
Trapezium
05:57 -
Focal Type
11:45 -
Isosceles Trapezium
04:59 -
Parallelogram
06:42 -
Kite
05:35 -
Rhombus
05:12 -
Rectangle
04:40 -
Square
05:01 -
Example 1
11:34 -
Example 2
07:26 -
Example 3
10:22 -
Area 1
07:37 -
Area 2
03:48 -
Area 3
03:37 -
Quiz 1
04:35 -
Quiz 2
03:17 -
Quiz 3
04:40
Polygons
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External Angles
06:47 -
Sum of Angles
07:01 -
Pentagon
10:55 -
Hexagon and Octagon
11:22 -
Example 4
09:21 -
Quiz
07:48
Angle Chasing
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Basics
05:33 -
Circle Theorems 1
08:40 -
Circle Theorems 2
06:49 -
Circle Theorems 3
05:48 -
Circle Theorems 4
08:38 -
Circle Theorems 5
08:14 -
Quiz 1
05:37 -
Quiz 2
05:56
Areas
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Similarity
09:59 -
Same Base and Angles
05:52 -
Example 1: Part 1
07:53 -
Example 1: Part 2
08:37 -
Example 1: Part 3
06:50 -
Example 2
06:03 -
Quiz 1
07:59 -
Quiz 2
04:39 -
Quiz 3
06:47
The Power of Coordinates
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The Power of Coordinates 1
09:52 -
The Power of Coordinates 2
07:52 -
The Power of Coordinates: Lines
10:40 -
The Power of Coordinates: Distance
10:40 -
The Power of Coordinates: Circles
08:32 -
Quiz
08:47
Power of a Point
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The Power of a Point
10:04 -
Power of a Point: Proofs
07:11 -
Power of a Point: Converse
07:03 -
6 Points Circle (Part 1)
06:31 -
6 Points Circle (Part 2)
05:33 -
6 Points Circle (Part 3)
05:24 -
6 Points Circle (Part 4)
06:23 -
Quiz
12:30
Three Dimensional Geometry
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Planes, Surface Area & Volumes
07:49 -
Spheres
05:04 -
Cubes and Boxes
06:47 -
Prisms and Cylinders
07:32 -
Pyramids and Cones
11:57 -
Upright Cones
04:54 -
Polyhedra
13:42 -
Example 1
06:01 -
Example 2
06:43 -
Example 3
07:07
Geometric Transformations
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Translation
08:27 -
Rotation
07:53 -
Reflection
11:08 -
Distortion
07:49 -
Dilation
06:17 -
Quiz
15:51
Functions
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Introduction to Functions
13:28 -
Input Vs Output
12:49 -
Graphs
10:18 -
Even and Odd Functions
07:22 -
Composition and Inverse of Functions
11:16 -
Polynomials
18:58 -
Polynomials 2
08:46 -
Other Common Functions – Trigonometric Functions
12:13 -
Other Common Functions – Exponential Functions
06:56 -
Other Common Functions – Logarithmic Functions
06:02 -
Special Functions
19:39 -
Special Functions 2
15:18 -
Quiz 1
07:30 -
Quiz 2
07:07
Inequalities
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What they Do
22:39 -
Linear Inequalities 1
17:35 -
Linear Inequalities 2
10:23 -
Linear Inequalities 3
20:50 -
Quadratic Inequalities
15:48 -
Absolute Values
17:19 -
Trivial AM-GM
20:19 -
Quiz 1
08:28 -
Quiz 2
14:50
Operations and Relations
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Introduction to Operations and Relations
14:51 -
Properties of Operations
14:55 -
Properties of Relations
14:24 -
Quiz
10:02
Sequence and Series
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Introduction to Sequence
17:29 -
Arithmetic Progression
12:31 -
Geometric Progression
08:08 -
Introduction to Series
06:46 -
Arithmetic Series
15:37 -
Geometric Series
17:21 -
Quiz 1
09:50 -
Quiz 2
05:20 -
Quiz 3
06:33
Learning to Count
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Introduction
13:29 -
Learning to Count: Addition
07:54 -
Learning to Count: Multiplication
14:47 -
Learning to Count: Number of Divisors
15:08 -
Permutations and Factorials
19:22 -
Counting in Two Ways
16:51 -
Binomial Theorem 1
12:43 -
Binomial Theorem 2
13:40 -
Quiz 1
12:11 -
Quiz 2
09:22
Statistics and Probability
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Statistics
05:14 -
Probability
11:50 -
Multiplying Probabilities
12:26 -
Casework
06:56 -
Quiz
13:36
Set Theory
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Definitions
12:51 -
Examples 1
08:05 -
Examples 2
11:02 -
Operations on Sets 1
11:10 -
Operations on Sets 2
08:53 -
Operations on Sets 3
09:40 -
Operations on Sets 4
07:06 -
Venn Diagram 1
07:57 -
Venn Diagram 2
08:14 -
Quiz 1
07:45 -
Quiz 2
13:31
Prove It
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Laws of Logic
06:54 -
Writing Proofs
15:25 -
Mathematical Induction
13:53 -
Convincing But Wrong
06:36 -
Quiz
15:03
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