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NCUK Integrated Math
Categories:
A Level
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Course Content
Topic 1: Algebra
1.1 Expand and simplify binomials & trinomials
08:38
1.2 Factorise expressions
17:49
Topic 2: Linear Coordinate Geometry
2.1 Midpoint, gradient, length
07:17
2.2 Equation of a straight line
06:01
2.3 Parallel and perpendicular lines
09:37
2.4 Solve simultaneous equations by elimination
06:31
2.5 Solve simultaneous equations by substitution
06:02
Topic 3: Quadratics
3.1 Solve quadratic equation by factorising
08:06
3.2 Solve quadratic equation by completing a square
13:08
3.3 Solve quadratic equation by using formula
03:24
3.4 Sketch a quadratic function
08:04
3.5 Solve linear, quadratic inequality
11:21
3.6 Use discriminant to determine the number of real roots
06:17
3.7 Solve simultaneous equations (linear + quadratic)
05:41
Topic 4: Functions
4.1 Introduction function.
10:15
4.2 Composite function
04:01
4.3 Inverse function
05:51
4.4 Simple transformation
05:51
4.5 Linear partial fraction
05:26
Topic 5: Cubic graph, division, factor/remainder theorem
5.1 Sketching cubics by factorising
10:09
5.2 Polynomial division
06:01
5.3 Factor theorem, remainder theorem
07:56
Topic 6: Indices and logarithms
6.1 Laws of indices
15:50
6.2 Laws of logarithm
08:15
6.3 Exponential and logarithmic funtions and graphs
09:23
6.4 Solve logarithmic equations
07:03
Topic 7: Statistics I
7.2 Averages
09:45
7.3 Spread
09:58
Topic 8: Probability I
8.4 Probability tree diagram
10:45
Topic 9: Graphical statistics
9.1 Boxplot
04:04
9.2 Histogram
11:43
9.3 Cumulative frequency diagram
05:24
Topic 10: Trigonometry
10.1 Sine, cosine, tangent definition
09:05
10.2 Pythagoras’ theorem, sine/cosine rule, area of triangle
13:26
10.3 Radian, degree, arc length and sector area
10:44
Topic 11: Differentiation I
11.1 First derivative of x^n , constant multiple, sum, difference
10:43
11.2 Tangent, normal to a curve
11:12
11.3 Increasing, decreasing function
06:38
11.4 Use second derivative to find max, min
05:55
Topic 12: Integral I
12.1 Integration I
10:56
12.2 Definite integral
07:02
12.3 Area under a curve
03:10
Solving Past Paper
Final Exam 2023
03:18:37
