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GCE Advanced Subsidiary Section 01
MODULE AS CORE MATHEMATICS 1: ALGEBRA 1
- Indices: laws of indices
- Surds: incuding simplifying and rationalizing the denominator
- The Straight Line Function: theory; linear inequalities
- The Quadratic Function: solution of a quadratic equation/inequation by graph
- Quadratic Equations: solution by formula/factors/completing the square; discriminant, roots
- Simultaneous Equations: 2 and 3 variables; lines/curves; solution by elimination and substitution; solution using intersecting graphs
- Exercises with fully worked answers
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£3.50
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GCE Advanced Subsidiary Section 02
MODULE AS CORE MATHEMATICS 1: ALGEBRA 2
- The Reciprocal Function: asymptote
- Polynomial: order; algebraic division
- Factorization: H.C.F.; factorizing by grouping
- Expanding Brackets
- Remainder Theorem
- Factor Theorem
- Long Division
- Simple Transformations on Graph of f(x): af(x); f(x) + a; f(x + a); f(ax)
- Straight Line Theory: Key Formulae; Worked Example
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£2.80
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GCE Advanced Subsidiary Section 03
MODULE AS CORE MATHEMATICS 1: DIFFERENTIAL CALCULUS
- Differentiation: gradient, instantaneous rate of change, gradient, tangent as the limit of a chord, first principles, equation of tangent, equation of normal, stationary points, maximum/minimum values
- Practice Questions
- Fully Worked Answers to Practice Questions
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£2.20
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GCE Advanced Subsidiary Section 04
MODULE AS CORE MATHEMATICS 2:
- COORDINATE GEOMETRY: Circle theorems; Cartesian Equations of the Circle. Straight Line theorems; Cartesian Equations of the straight line
- SEQUENCES and SERIES: linear, quadratic and cubic sequences
- RECURRENCE RELATION
- SERIES: Arithmetic Progression; Geometric Progression
- CONVERGENCE
- DIVERGENCE
- SUM TO INFINITY: Convergent Geometric Series
- BINOMIAL SERIES
- SUMMATION OF SERIES: Notation
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£2.80
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GCE Advanced Subsidiary Section 05
MODULE AS CORE MATHEMATICS 2:
- TRIGONOMETRY :Sine and Cosine Rules; Radians; Graphs; Sine Formula: area of triangle; Radian Formulae: area of sector; length of arc; Pythagorean Identities
- EXPONENTIAL FUNCTIONS :Graphs of exponential and logarithmic functions
- LOGARITHMS :Solving Logarithmic Equations
- INTEGRAL CALCULUS :Indefinite Integral; Definite Integral: area under curve; Practice Questions: worked answers
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£3.70
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GCE Advanced Subsidiary Section 06
MODULE AS MECHANICS 1:
- DYNAMICS: Laws of motion; connected particles; resultant; F = ma; momentum; impulse
- KINEMATICS: Use of vectors; displacement, velocity and acceleration; displacement/time and velocity/time graphs; application of the calculus; constant acceleration formulae; collision; interception; examination - style questions (with fully worked answers)
- STATICS: Forces; resolving forces; resultant force; equilibrium; friction; moments; centre of mass
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£5.20
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GCE Advanced Subsidiary Section 07
MODULE AS STATISTICS 1:
- Frequency: averages (mean, median, mode), histogram (discrete and grouped distributions), frequency density; cumulative frequency graph (ogive), median, interquartile range, diagrams (box and whisker, stem and leaf, scatter)
- Regression Analysis: regression lines
- Correlation: Spearman Rank Correlation Coefficient
- Standard Deviation: variance
- Probability Distributions: Binomial distribution: Pascal Triangle); Poisson distribution; normal distribution
- Probability: and/or rules; tree diagrams
- Exercises with fully worked answers
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£2.80
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