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Course Materials
Lessons
Solving by Factorisation
- Video - Solving Quadratic Equations by Factors (3:55)
- Video - Solving Quadratic Equations by Factorise (5:09)
- Video - Solving by Factorise involving Rearrangements (5:11)
- Video - Quadratic Equations involving Fractions (6:34)
- Video - Quadratic Equations using Substitutions (9:04)
- Video - Quadratic Equations using Indices (4:21)
- Video - Quadratic Equations using Indices with Undefined Solutions (2:21)
- Video - Equations Involving Higher Orders (3:25)
- Video - Equations Involving Higher Orders with Undefined Solutions (1:35)
Solving by Completing the Square
- Video - Solving by Completing the Square (4:01)
- Video - Solving by Completing the Square involving Irrationals (1:27)
- Video - Evaluation of the Solutions to Decimal Numbers (2:55)
- Video - Solving Monic Equations (15:01)
- Video - Non-Monic Completing the Square (6:36)
- Video - Solving Non-Monic Equations (9:01)
- Video - Basics of Completing the Square (6:14)
- Video - Completing the Square with Rational Numbers (4:48)
Quadratic Formula
- Video - Deriving Quadratic Formula (4:50)
- Video - Using Quadratic Formula (6:44)
- Video - Forming Quadratic Equations using Quadratic Formula (2:29)
- Video - Quadratic Equations using Substitutions involving Quadratic Formula (4:50)
- Topic - Quadratic Formula: Monic Quadratic Equations
- Topic - Quadratic Formula: Non-Monic Quadratic Equations
Discriminant
- Video - Calculating the Discriminant (5:38)
- Video - Types of Roots of Quadratic Equations (4:44)
- Video - Discriminant of Real Equal Roots (3:30)
- Video - Discriminant of Real Unequal Rational Roots (3:33)
- Video - Discriminant of Real Unequal Irrational Roots (2:13)
- Video - Discriminant of Imaginary Roots (8:46)
Positive Definite and Negative Definite
- Video - Identifying Positive Definite using Discriminant (6:32)
- Video - identifying Negative Definite using Discriminant (7:19)
- Topic - Concave Up and Cuts the X-axis Once
- Topic - Concave Up and Cuts the X-axis Twice
- Topic - Concave Down and Cuts the X-axis Twice
- Topic - Concave Down and Cuts the X-axis Once
- Topic - Positive Definite
- Topic - Negative Definite
Quadratic Graphs by Completing the Square
- Video - Parabola in Left Side (6:05)
- Video - Parabola in Right Side (2:28)
- Video - Parabola Concave Down (3:39)
- Video - Non-Monic Parabola Concave Upwards (3:15)
- Video - Non-Monic Parabola Concave Downwards (2:25)
- Video - Graphs of Parabola with no x-intercepts (11:36)
- Video - Translating Graphs of Quadratic Functions (2:15)
Finding Quadratics from Graphs
- Video - Finding Quadratic Equations from Graphs (10:04)
- Video - Finding Quadratics using Intercepts (7:53)
- Video - Finding Quadratics for Touching x-axis (4:13)
- Video - Finding Quadratics using Axes of Symmetry (6:26)
- Video - Finding Quadratics using Coefficients (4:00)
- Video - Finding Quadratics using Vertices (4:10)
Domain and Range
- Video - Definition of Domain and Range (4:11)
- Video - Finding Domain and Range (9:02)
- Video - Domain and Range by Graphs (7:16)
- Video - Domain and Range of Functions (11:53)
- Video - Domain and Range of Surds (7:03)
- Video - Domain and Range of Rational Expressions (10:25)
- Video - Domain of Sum of Two Functions (3:41)
Reciprocal Functions
- Video - Graphs of Reciprocal Trigonometric Functions (7:34)
- Video - Reciprocal Graphs (5:31)
- Video - Reciprocal Graphs of Irrational Functions (1:37)
- Video - Reciprocal Graphs of Modulus Functions (0:48)
- Video - Reciprocal Graphs of Natural Exponential Functions (1:01)
- Video - Reciprocal Graphs of Natural Logarithmic Functions (0:30)
- Video - Reciprocal Graphs of Inverse Tangent Functions (1:45)
Exponential Graphs
- Video - Understanding Exponential Graphs (5:05)
- Video - Basic Exponential Graphs (5:18)
- Video - Transformation of Exponential Graphs (4:57)
- Video - Exponential Graphs Dilation from the x-axis (3:07)
- Video - Exponential Graphs Dilation from the y-axis (2:40)
- Video - Exponential Graphs Dilation from the base (1:44)
- Video - Translation of Exponential Graphs (2:40)
- Video - Reflection of Exponential Graphs (1:58)
- Video - Graphs of Exponential Curves (6:20)
- Video - Transformation of Exponential Curves x-axis and y-axis (1:23)
- Video - Translating Graphs of Exponential Functions (3:05)
Natural Exponential Graphs
- Video - Graphs of Natural Exponential Functions (2:12)
- Video - Transformation of Natural Exponential Graphs (3:06)
- Video - Coefficients of Natural Exponential Graphs (1:37)
- Video - Reflection of Exponential Graphs (1:58)
- Video - Stating the Transformations of Exponential Graphs to Base e (9:58)
- Video - Dilation of Exponential Graphs to base e (3:24)
- Video - Sketching Exponential Graphs to base e (3:15)
- Video - Reflection of Exponential Graphs to base e (1:59)
- Video - Absolute Values (3:01)
Graphing Natural Logarithmic Functions
- Video - Stating the Transformations of Logarithmic Graphs to base e (7:39)
- Video - Dilation of Logarithmic Graphs to base e (3:51)
- Video - Translation of Logarithmic Graphs to base e (3:51)
- Video - Reflection of Logarithmic Graphs to base e (4:46)
- Video - Finding Equations for Graphs of Logarithmic Functions (3:23)
Translations and Transformations
- Video - Basic Rules of Transformation (8:24)
- Video - Translation of Graphs (4:01)
- Video - Translation of Logarithmic Graphs to base e (3:51)
- Video - Translation of Exponential Graphs (2:40)
- Video - Transformations of Quartic Graphs (2:37)
- Video - Transformation of Absolute Value Graphs (3:29)
- Video - Graphs of Parabola Shift Up Down (6:10)
- Video - Cubic Graphs Up Down (1:10)
- Video - Cubic Graphs Shifting Left Right (7:08)
- Video - Cubic Graphs in Vertex Form (2:38)
- Video - Transformation Theory of Parabola (4:58)
Reflections and Transformations
- Video - Reflection of Cubic Graphs (2:56)
- Video - Reflection (14:35)
- Video - Reflection of Logarithmic Graphs to base e (4:46)
- Video - Reflection of Exponential Graphs (1:58)
- Video - Reflection of Exponential Graphs to base e (1:59)
- Video - Transformation of Exponential Curves x-axis and y-axis (1:23)