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Course Materials
Lessons
Solving by Factorisation
- Video - Solving Quadratic Equations by Factorise (6:04)
- Video - Solving Quadratic Equations by Factorise involving Rearrangements (6:54)
- Video - Quadratic Equations involving Fractions 1 (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 - Completing the Square with Rational Numbers (4:48)
- Video - Solving by Completing the Square (3:12)
- Video - Solving by Completing the Square of Non-Monic Quadratic Equations (3:41)
Quadratic Formula
- Video - Deriving Quadratic Formula (4:50)
- Video - Solving Quadratic Equations using Quadratic Formula 1 (9:00)
- Video - Solving Quadratic Equations using Quadratic Formula 2 (6:50)
- Video - Forming Quadratic Equations using Quadratic Formula (2:45)
- Topic - Quadratic Formula: Monic Quadratic Equations
- Topic - Quadratic Formula: Non-Monic Quadratic Equations
- Video - Quadratic Equations using Quadratic Formula Approximated Roots (6:18)
- Video - Quadratic Equations using Substitutions involving Quadratic Formula (4:50)
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 1 (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)
- Video - Restricting the Domain of Cubic Polynomials (4:22)
- Video - Restricting the Domain of Quartic Graphs (2:49)
- Video - Domain Range of Square Root Functions (6:38)
- Video - Quadratic Graphs: Ranges (9:20)
- Video - Range of X-Square (4:50)
- Video - Range of Reciprocal of Quadratic Expressions (5:37)
Reciprocal Functions
- Video - Graphs of Reciprocal Trigonometric Functions (7:24)
- 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)
- Video - Reciprocal Graphs of Parabola (2:52)
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 - Transformations of Quartic Graphs (2:37)
- Video - Transformation of Absolute Value Graphs (3:29)
- Video - Transformation Theory of Parabola (4:58)
- Video - Transformation of Square Root Functions (3:40)
- Video - Basic Rules of Transformation of Curves (3:28)
