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.
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Paid Memberships Membership Required
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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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Introduction
00:00 -
Course Overview
00:36 -
Course Topics
02:01 -
Course Advice
03:22
Exponents and Algorithms
Summary of the chapter Exponents and Algorithms: Laws of exponents
-
Introduction to Integer Exponents
07:14 -
Laws of Exponents
08:26 -
More Laws of Exponents
07:25 -
Introduction to Fractional Exponents
07:24 -
More Fractional Exponents
12:57 -
Multiple Roots
07:47 -
Simplifying Radical Expressions
15:42 -
Rationalizing Denominators
13:07 -
Conjugate Radicals
11:39 -
Logarithms
08:47 -
Recap
03:00 -
Exponents and Logarithms Quiz
Complex Numbers
Short summary
-
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
-
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
-
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
-
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
-
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
Functions
-
Introduction to Functions
13:28 -
Input Vs Output
00:00 -
Graphs
00:00 -
Even and Odd Functions
00:00 -
Composition and Inverse of Functions
00:00 -
Polynomials
00:00 -
Polynomials 2
08:46 -
Other Common Functions – Trigonometric Functions
00:00 -
Other Common Functions – Exponential Functions
00:00 -
Other Common Functions – Logarithmic Functions
00:00 -
Special Functions
00:00 -
Special Functions 2
00:00
Inequalities
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What they Do
00:00 -
Linear Inequalities 1
00:00 -
Linear Inequalities 2
00:00 -
Linear Inequalities 3
00:00 -
Quadratic Inequalities
00:00 -
Absolute Values
00:00 -
Trivial AM-GM
00:00
Operations and Relations
-
Introduction to Operations and Relations
00:00 -
Properties of Operations
00:00 -
Properties of Relations
00:00
Sequence and Series
-
Introduction to Sequence
00:00 -
Arithmetic Progression
00:00 -
Geometric Progression
00:00 -
Introduction to Series
00:00 -
Arithmetic Series
00:00 -
Geometric Series
00:00
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