Daily Tutoring Online course
This online course is designed to provide students with a comprehensive understanding of mathematical methods, focusing on Unit 3 & 4 content. Topics covered include functions, calculus, algebra, and more. Through a combination of video lectures, interactive quizzes, and practical exercises, students will develop the skills necessary to solve mathematical problems effectively.
Curriculum
Functions and relations
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- Intersection and Union Compliment in the Venn diagram (20:23)
- Interval notation (9:41)
- Functions (17:39)
- Implied (maximal) domain (32:20)
- Domain and range of a function (24:25)
- Horizontal Vertical line test (16:21)
- Piecewise-defined functions(hybrid functions) (23:49)
- Even function Odd function (13:43)
- Composite function and multiply add functions (17:01)
- Inverse function (17:34)
- Various function graph (26:16)
Coordinate geometry
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- Solving linear equation (26:27)
- Literal equations (23:28)
- Distance between two points (16:01)
- Midpoint of a line segment (16:58)
- Gradient of a straight line (13:44)
- Relation between 2 linear equation (parallel, perpendicular) (20:29)
- Review of Linear equation practice (14:49)
- The geometry of simultaneous linear equations with two variables (24:48)
- Simultaneous linear equations with 3 variables (21:25)
Transformations
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Polynomial functions
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- Quadratic functions (cross method, 0 product property, x intercept, sketch) (25:10)
- Turning point form (31:40)
- The quadratic formula (34:48)
- The discriminant (15:22)
- Drawing linear, quadratic cubic function graph (15:42)
- Equating coeffcients (16:31)
- Factorise and draw the cubic function (28:15)
- Cubic function division with remainder (12:09)
- Sums and differences of cubes (19:15)
- Literal equations(non-linear equation) (24:38)
- Rivision of finding the intersection (linear and quadratic) (18:51)
- Point of intersection of different graphs (Quadratic circle hyperbola) (19:11)
Exponential and logarithmic functions
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Circular functions
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Calculus
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- Differentiation by first principles (23:45)
- Power rules (25:12)
- Tangent of the angle of slope (14:02)
- Derivative graph (29:44)
- Chain rule (18:56)
- Calculus of e^x (25:02)
- Calculus of natural logarithm function (28:57)
- Calculus of circular function (20:33)
- Product rule (27:24)
- Quotient rule (18:54)
- Limits and Continuity (29:25)
- Differentiable function (30:23)
Applications of differentiation
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Integration
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Probability and Statistics
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The binomial distribution
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Continuous random variables and their probability distributions
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The normal distribution
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Counting methods
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