Mathematics

00 Summary 01 Digit 02 Dice 1 03 Dice 1 (no) 04 Dice 2 05 Dice 2 (no) 06 Equation ------------------------------- ActionScript --- 07 Digit 08 Dice 09 Dice 10 Tower of Hanoi 11 Monty Hall 12 Prison

00 Summary 01 Sorting Numbers 02 Multiplication 03 Fraction 04 Number System 05 Power / Root 06 Algebra / Equation 07 Square 08 Pythagoras 09 Congruent Triangles 10 Set

00 Summary MatRIC TV 01 Summary MatRIC TV + Sim 02 Summary PrePrepared Course 03 Basic Mathematics 04 Basic Set and Algebra 05 Coordinate System 06 Power and Logarithm 07 Function 08 Geometry 09 Trigonometry 10 Sequences and Series 11 Integration

00 Summary 02 Numbers (Theory no) 03 Natural Numbers 04 Integers 05 Rational Numbers 06 Irrational Numbers 07 Real Numbers 08 Complex Numbers 09 Summary 10 Complex Number - Simulation 11 Complex Number - Piston ------------------------------- ActionScript --- 12 Numbers 13 Natural Numbers 14 Integers 15 Rational Numbers 16 Irrational Numbers 17 Real Numbers 18 Complex Numbers 19 Summary

00 Summary 01 Theory (no)

00 Summary 01 Theory (no)

00 Summary 01 Function 02 Graph Drawing 03 Vertical Line 04 Predefined Function 05 Graph Window Object 06 Quadrant 07 Node 08 Extremal Point 09 Zero 10 Intersection 11 Differentiation 12 Integration 13 Axis 14 Table 15 Multiple Choice 16 Newton's Method 17 Newton's Method (A) 18 Derivative of y = exp(x)

00 Summary 01 Summary - Pythagoras 02 Pythagoras 03 Pythagoras - Exercise ------------------------------- ActionScript --- 04 Pythagoras (A) 05 Pythagoras - MOOC (A) 06 Pythagoras - Quiz 08 Triangle Properties (A) 09 Triangle Computations (A) 10 Fractal (A)

00 Summary 01 Theory (no)

00 Summary 01 Theory (no)

00 Summary 01 Theory (no) 02 Differentiation 04 Relation Diff/Int

00 Summary 01 Theory (no) 03 Integration 04 Relation Diff/Int

00 Summary 01 Theory 02 Angle 03 sin/cos/tan - Triangle 04 Unit Circle 05 sin/cos/tan - Unit Circle - Graph 06 Trigonometric Curves 07 Applications 08 Triangle Prop/Computations 09 Reflection / Refraction 10 Fourier

00 Summary 01 Theory 02 Euler's Number - SMS 03 Euler's Number - Def 04 Exponential / Logaritmic Functions

00 Summary 01 Matrix 02 Matrix - Operation 03 Matrix - Learning Multiplication

00 Summary 01 Parabola 02 Parabola (A) 03 Ellipse 04 Ellipse (A) 05 Simulation / Theory (A) 06 Theory (A) ---------- 07 Conic Section 08 Introduction 09 Geometric Consideration 10 SatellitePath 11 Parabola - Definition 12 Parabola - Symmetry - 2.Axis 13 Parabola - Symmetry - 1.Axis 14 Parabola - Reflection - Straight Line 15 Parabola - Reflection - Parabola 16 Parabola - Reflection - Paraboloid 17 Ellipse - Definition 18 Ellipse - Equation 19 Ellipse - Reflection - Ellipse 20 Ellipse - Reflection - Ellipsoid 21 Ellipse - Directrix 22 Ellipse - Ladder 23 Hyperbola - Definition 24 Hyperbola - Equation 25 Hyperbola - Reflection 26 Eccentricity 27 Equation 2D 28 Equation 3D 29 Reflection / Refraction

00 Summary 01 Parameterization 2D 02 Parameterization 3D 03 Parameterization 2D (A) 04 Parameterization 3D (A) 05 Parameterization 2D-3D (A) ---------- 06 Introduction 07 Def 08 Example 1 - Straight Line 09 Example 2 - Parabola 10 Example 3 - Straight Line 11 Example 4 - Circle 12 Example 5 - Ellipse 13 Example 6 - [t^3-3t,t^2] 14 Param Curve 15 Different Parameterization 16 GraphFunction 17 Cycloid 18 Cycloid (A) 19 Involution 20 Smoot Curve - Def 21 Smoot Curve - Suff.Cond. 22 Smoot Curve - Example 23 Tangent / Normal - Def 24 Tangent / Normal - Example 25 Curvature 26 Curve Length - Def 27 Curve Length - Example 28 Rotation - Def 29 Rotation - Example - Astroid 30 Area - Limited Curve - xAxis 31 Area - Clockwise 32 Area - Closed Curve 33 Area - Limited Curve - yAxis 34 Area - Closed Curve - Summary 35 Area - Example - Ellipse 36 Example - Cycloid 37 Area - Example - Cycloid (A)

00 Summary 01 Information 02 Parametric Surface

00 Summary 01 Polar Curve 02 Polar Curve (A) 03 Simulation / Theory 1 (A) 04 Simulation / Theory 2 (A) 05 Theory / Simulation (A) ---------- 06 Introduction 07 Example 08 Equation / Graph 09 Different Polar Graphs 10 Advantage 11 Cartesian -> Polar 12 Polar -> Cartesian 13 Cartesian -> Polar 14 Symmetry - Def 15 Symmetry - Graph 16 Area - Theory 17 Area - Ex1 Cardioid 18 Area - Ex2 19 Area - Ex3 20 Arc Length - Theory 21 Arc Length - Ex1

00 Summary Double Integral 01 Summary Triple Integral

00 Summary Double Integral 01 Summary Triple Integral

00 Summary 01 Vector Field 2D 02 Vector Field 2D (A) 03 Vector Field 3D (A) 04 Vector Field 2D/3D 05 Vector Field 2D AutoStart 06 Vector Field 2D/3D AutoStart (A) 07 Curve Integral Intro 2D 08 Curve Integral 2D 09 Curve Integral 3D 10 Curve Integral 2D/3D 11 Application - Heart 12 Introduction - VF - CI - Appl. 13 Examples of VectorFields 14 Curve Integral Def 15 CurveIntegral - Ex 1 16 CurveIntegral - Ex 2 17 CurveIntegral - Mass/CM/I 18 CurveIntegral - Ex CM 19 Work - Introduction 20 Work - Def 21 Work - Alternative Form 22 Work - Ex 1 - Alt 1 23 Work - Ex 1 - Alt 2 24 Work - Ex 1 - Alt 3 25 Work - Ex 2 - Alt 1 26 Work - Ex 2 - Alt 2 27 Flow/Flux 2D - Introduction 28 Flow/Flux 2D - Circulation - Def 29 Flow/Flux 2D - Circulation - Alt 30 Flow/Flux 2D - Flux - Def 31 Flow/Flux 2D - Flux - Alt 32 Flow/Flux 2D - Close Path 33 Flow/Flux 2D - Summary 34 Flow/Flux 2D - App - Gravity 35 Flow/Flux 2D - App - Electric Field 36 Flow/Flux 2D - App - Water 37 Flow/Flux 2D - App - SpoolMagnectic 38 Flow/Flux 2D - App - RingMagnetic

00 Summary 01 Vector Field 2D 02 Vector Field 2D (A) 03 Vector Field 3D (A) 04 Vector Field 2D/3D (A) 05 Curve Integral 2D 06 Curve Integral 2D (A) 07 Curve Integral 3D (A) 08 Curve Integral 2D/3D (A) 09 Curve Integral AutoStart 2D 10 Del Operator 11 Conservative Vector Fields 12 Divergence 13 Curl 14 Green's Theorem 15 Surface Integral 16 Gauss's / Stokes's Theorem

00 Summary 01 Fourier 02 Laplace 03 Wavelet 04 Taylor

00 Summary 01 Theory 02 Diff.Eq. (Equation directly) 03 Modelling 04 Exercise (SimReal, Python, Matlab) 05 Diff.Eq (Python) 06 Logisical Growth 07 Runge Kutta Order 4 - Test 08 Diff.Eq. (Coefficient directly)

00 Summary 01 Introduction 02 Application 03 Theory 04 Ex 01 - Sum Natural Numbers 05 Ex 02 - Sum 2+4i 06 Ex 03 - Sum Odd Numbers 07 Ex 04 - Inequality 1 08 Ex 05 - Inequality 2 09 Ex 06 - Sum Row Odd Triangle 10 Ex 07 - Number Plane Area [1/2] 11 Ex 07 - Number Plane Area [2/2] 12 Ex 08 - Colour 13 Ex 09 - Binary Number System 14 Ex 10 - Max Subsequence - Problem 15 Ex 10 - Max Subsequence - Hypothesis 16 Ex 10 - Max Subsequence - Induction Proof 17 Ex 10 - Max Subsequence - Strength Ind. 18 Ex 10 - Max Subsequence - Algorithm 19 Ex 11 - Container Problem 20 Ex 11 - Container Problem - 1Dim 21 Ex 11 - Container - Induction - Proof 22 Ex 11 - Container - Strength Proof 23 Ex 11 - Container - Problem 24 Ex 12 - GPS - Problem 25 Ex 12 - GPS - Hypothesis 26 Ex 12 - GPS - Induction Proof 27 Ex 12 - GPS - Algorithm 28 Comment

00 Summary 01 Introduction 02 Particle 03 SHM 04 SHM (A) 05 Ladder 06 Cycloid 07 Cycloid (A) 08 Fourier 09 Fourier (A) 10 BungeeJump 11 Inquiry Based Mathematics

00 Summary 01 Introduction 02 Arithmetic Expression [1/3] 03 Arithmetic Expression [2/3] 04 Arithmetic Expression [3/3] 05 Prefix - Infix - Postfix [1/2] 06 Prefix - Infix - Postfix [2/2] 07 Infix ->Postfix - Example 08 Postfix - Example 09 Complete Paranthesis [1/3] 10 Complete Paranthesis [2/3] 11 Complete Paranthesis [3/3] 12 Infix -> Postfix ->Computed Value 13 Railway Algorithm [1/2] 14 Railway Algorithm [2/2] 15 Railway Algorithm - Aritm. Expression 16 Infix Priority - Stack Priority 17 Operator 18 PseudoCode - Railway Algorithm 19 Infix -> Postfix - Example 20 Postfix -> Value [1/3] - Figure 21 Postfix -> Value [1/3] - PseudoCode 22 Postfix -> Value [3/3] - Example 23 Overview

00 Summary 01 Introduction 02 Logical Circuits 03 Boolean 04 Logical Circuit - XOR 05 Application

00 Summary 01 Inquiry Based Mathematics