Functions and relations
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Intersection and Union Compliment in the Venn diagram (20:23)
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Interval notation (9:41)
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Functions (17:39)
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Implied (maximal) domain (32:20)
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Domain and range of a function (24:25)
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Horizontal Vertical line test (16:21)
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Piecewise-defined functions(hybrid functions) (23:49)
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Even function Odd function (13:43)
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Composite function and multiply add functions (17:01)
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Inverse function (17:34)
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Various function graph (26:16)
Coordinate geometry
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Solving linear equation (26:27)
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Literal equations (23:28)
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Distance between two points (16:01)
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Midpoint of a line segment (16:58)
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Gradient of a straight line (13:44)
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Relation between 2 linear equation (parallel, perpendicular) (20:29)
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Review of Linear equation practice (14:49)
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The geometry of simultaneous linear equations with two variables (24:48)
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Simultaneous linear equations with 3 variables (21:25)
Transformations
Polynomial functions
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Quadratic functions (cross method, 0 product property, x intercept, sketch) (25:10)
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Turning point form (31:40)
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The quadratic formula (34:48)
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The discriminant (15:22)
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Drawing linear, quadratic cubic function graph (15:42)
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Equating coeffcients (16:31)
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Factorise and draw the cubic function (28:15)
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Cubic function division with remainder (12:09)
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Sums and differences of cubes (19:15)
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Literal equations(non-linear equation) (24:38)
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Rivision of finding the intersection (linear and quadratic) (18:51)
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Point of intersection of different graphs (Quadratic circle hyperbola) (19:11)
Exponential and logarithmic functions
Circular functions
Calculus
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Differentiation by first principles (23:45)
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Power rules (25:12)
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Tangent of the angle of slope (14:02)
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Derivative graph (29:44)
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Chain rule (18:56)
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Calculus of e^x (25:02)
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Calculus of natural logarithm function (28:57)
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Calculus of circular function (20:33)
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Product rule (27:24)
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Quotient rule (18:54)
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Limits and Continuity (29:25)
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Differentiable function (30:23)
Applications of differentiation
Integration
Probability and Statistics
The binomial distribution
Continuous random variables and their probability distributions
The normal distribution
Counting methods
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