NCUK Integrated Math
4.3 Inverse function
NCUK Integrated Math
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Topic 1: Algebra
1.1 Expand and simplify binomials & trinomials
Video - 00:8:38 mins
1.2 Factorise expressions
Video - 00:17:49 mins
Topic 2: Linear Coordinate Geometry
2.1 Midpoint, gradient, length
Video - 00:7:17 mins
2.2 Equation of a straight line
Video - 00:6:01 mins
2.3 Parallel and perpendicular lines
Video - 00:9:37 mins
2.4 Solve simultaneous equations by elimination
Video - 00:6:31 mins
2.5 Solve simultaneous equations by substitution
Video - 00:6:02 mins
Topic 3: Quadratics
3.1 Solve quadratic equation by factorising
Video - 00:8:06 mins
3.2 Solve quadratic equation by completing a square
Video - 00:13:08 mins
3.3 Solve quadratic equation by using formula
Video - 00:3:24 mins
3.4 Sketch a quadratic function
Video - 00:8:04 mins
3.5 Solve linear, quadratic inequality
Video - 00:11:21 mins
3.6 Use discriminant to determine the number of real roots
Video - 00:6:17 mins
3.7 Solve simultaneous equations (linear + quadratic)
Video - 00:5:41 mins
Topic 4: Functions
4.1 Introduction function.
Video - 00:10:15 mins
4.2 Composite function
Video - 00:4:01 mins
4.3 Inverse function
Video - 00:5:51 mins
4.4 Simple transformation
Video - 00:5:51 mins
4.5 Linear partial fraction
Video - 00:5:26 mins
Topic 5: Cubic graph, division, factor/remainder theorem
5.1 Sketching cubics by factorising
Video - 00:10:09 mins
5.2 Polynomial division
Video - 00:6:01 mins
5.3 Factor theorem, remainder theorem
Video - 00:7:56 mins
Topic 6: Indices and logarithms
6.1 Laws of indices
Video - 00:15:50 mins
6.2 Laws of logarithm
Video - 00:8:15 mins
6.3 Exponential and logarithmic funtions and graphs
Video - 00:9:23 mins
6.4 Solve logarithmic equations
Video - 00:7:03 mins
Topic 7: Statistics I
7.2 Averages
Video - 00:9:45 mins
7.3 Spread
Video - 00:9:58 mins
Topic 8: Probability I
8.4 Probability tree diagram
Video - 00:10:45 mins
Topic 9: Graphical statistics
9.1 Boxplot
Video - 00:4:04 mins
9.2 Histogram
Video - 00:11:43 mins
9.3 Cumulative frequency diagram
Video - 00:5:24 mins
Topic 10: Trigonometry
10.1 Sine, cosine, tangent definition
Video - 00:9:05 mins
10.2 Pythagoras’ theorem, sine/cosine rule, area of triangle
Video - 00:13:26 mins
10.3 Radian, degree, arc length and sector area
Video - 00:10:44 mins
Topic 11: Differentiation I
11.1 First derivative of x^n , constant multiple, sum, difference
Video - 00:10:43 mins
11.2 Tangent, normal to a curve
Video - 00:11:12 mins
11.3 Increasing, decreasing function
Video - 00:6:38 mins
11.4 Use second derivative to find max, min
Video - 00:5:55 mins
Topic 12: Integral I
12.1 Integration I
Video - 00:10:56 mins
12.2 Definite integral
Video - 00:7:02 mins
12.3 Area under a curve
Video - 00:3:10 mins
Solving Past Paper
Final Exam 2023
Video - 3:18:37 mins
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