Everything you NEED to memorise for A-Level Maths • Part 1: Pure 💡
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 Published On Dec 1, 2020

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ALGEBRAIC LAWS
- Simple Index Laws:    • Algebraic Expressions 1 • Index Laws ...   (P1 Ch1 Algebraic Expressions)
- Fractional/Negative Index Laws:    • Algebraic Expressions 3 • Fractional ...   (P1 Ch1)
- Factor Theorem:    • Factor Theorem 6 • The Factor Theorem...   (P1 Ch7 Algebraic Methods)
- Inequalities:    • Equations & Inequalities 4 • Linear I...   (P1 Ch3 Equations & Inequalities)
- Partial Fractions, repeated linear factor:    • Partial Fractions 3 • Repeated Linear...   (P2 Ch1 Algebraic Methods)

GEOMETRY
- Cosine Rule:    • Trigonometric Ratios 1 • Cosine Rule ...   (P1 Ch9 Trigonometric Ratios)
- Sine Rule:    • Trigonometric Ratios 2 • Sine Rule • ...   (P1 Ch9)
- Area of Triangle:    • Trigonometric Ratios 4 • Area of Tria...   (P1 Ch9)
- Arc Length:    • Radians 4 • Arc Length • P2 Ex5C • 💡   (P2 Ch5 Radians)
- Sector & Segment Area:    • Radians 6 • Sector and Segment Areas ...   (P2 Ch5)

FUNCTIONS
- Definition:    • Functions and Graphs 4 • The Definiti...   (P2 Ch2 Functions)
- Domain/Range:    • Functions and Graphs 6 • Domain and R...   (P2 Ch2)
- Composite:    • Functions and Graphs 8 • Composite Fu...   (P2 Ch2)
- Inverse:    • Functions and Graphs 9 • Inverse Func...   (P2 Ch2)

GRAPHS & COORDINATES
- Midpoints:    • Circles 1 • Midpoints and Perpendicul...   (P1 Ch6 Circles)
- Gradient:    • Straight Line Graphs 1 • y=mx+c and G...   (P1 Ch5 Straight Line Graphs)
- Perpendicular:    • Straight Line Graphs 4 • Parallel and...   (P1 Ch5)
- Equation of a Line:    • Straight Line Graphs 2 • Equations of...   (P1 Ch5)
- Discriminant:    • Quadratics 9 • The Discriminant • P1 ...   (P1 Ch2 Quadratics)
- Reciprocal Graphs:    • Graphs & Transformations 5 • Sketchin...   (P1 Ch4 Graphs & Transformations)
- Circles:    • Circles 2 • Equation of a Circle • P1...   (P1 Ch6)
- Sin, Cos, Tan Graphs:    • Trigonometric Ratios 7 • Sine, Cosine...   (P1 Ch9 Trig Ratios)

VECTORS
- AB Vector:    • Vectors 5 • Positions, "AB= b - a" • ...   (P1 Ch11 Vectors)
- Parallel:    • Vectors 2 • Representing Vectors, Par...   (P1 Ch11)
- Magnitude, Unit Vectors:    • Vectors 3 • Magnitude, Unit Vectors, ...   (P1 Ch11)
- Angles with Axes:    • Vectors 2 • Angles with Axes, Triangl...   (P2 Ch12 Vectors)

BINOMIAL EXPANSION
- Binomial Coefficient:    • Binomial Expansion 1 • Fractional and...   (P2 Ch4 Binomial Expansion)
- (a+bx)^n form:    • Binomial Expansion 2 • (a+b)^n form •...   (P2 Ch4)

SERIES
- Arithmetic nth Term:    • Sequences & Series 1 • Arithmetic Seq...   (P2 Ch3 Series)
- Arithmetic Sum:    • Sequences & Series 2 • Arithmetic Ser...   (P2 Ch3)
- Geometric nth Term:    • Sequences & Series 3 • Geometric Sequ...   (P2 Ch3)
- Geometric Sum:    • Sequences & Series 4 • Geometric Seri...   (P2 Ch3)
- Geometric Sum to Infinity:    • Sequences & Series 5 • Sum to Infinit...   (P2 Ch3)
- Types:    • Sequences & Series 9 • Increasing, De...   (P2 Ch3)

TRIGONOMETRY:
- Radians:    • Radians 2 • Converting between Degree...   (P2 Ch5 Radians)
- Small Angle Approximations:    • Radians 9 • Small Angle Approximation...   (P2 Ch5)
- Exact Trig Values:    • Trigonometric Identities & Equations ...   (P1 Ch10 Trig Equations & Identities)
- Tangent Definition:    • Trigonometric Identities & Equations ...   (P1 Ch10)
- Solving Equations:    • Trigonometric Identities & Equations ...   (P1 Ch10)
- Reciprocal Trig:    • Trigonometric Functions 1 • Introduci...   (P2 Ch6 Trig Functions)
- Co-Function:    • Trigonometric Identities & Equations ...   (P1 Ch10)
- Pythagorean Identities:    • Trigonometric Functions 7 • Pythagore...   (P2 Ch6)
- Addition Formulae:    • Trigonometry & Modelling 1 • Addition...   (P2 Ch7 Trig & Modelling)
- Double Angle Formulae:    • Trigonometry & Modelling 4 • Double A...   (P2 Ch7)
- Harmonic Identity:    • Trigonometry & Modelling 12 • The Har...   (P2 Ch7)

DIFFERENTIATION
- a^x, e^x, lnx:    • Differentiation 4 • Differentiating e...   (P2 Ch9 Differentiation)
- sinx, cosx:    • Differentiation 1 • Differentiating s...   (P2 Ch9)
- Other trig functions:    • Differentiation 15 • tan, sec, cot, c...   (P2 Ch9)
- Chain Rule:    • Differentiation 6 • Chain Rule, intro...   (P2 Ch9)
- Product Rule:    • Differentiation 13 • The Product Rule...   (P2 Ch9)
- Quotient Rule:    • Differentiation 14 • The Quotient Rul...   (P2 Ch9)
- Reciprocals:    • Differentiation 12 • dx/dy • P2 Ex9C • 🚀   (P2 Ch9)
- Parametric:    • Differentiation 18 • Parametric • P2 ...   (P2 Ch9)

NUMERICAL METHODS
- Roots:    • Numerical Methods 1 • Proving there i...   (P2 Ch10 Numerical Methods)
- Staircase/Cobwebs:    • Numerical Methods 2 • Iteration and S...   (P2 Ch10)
- Newton-Raphson:    • Numerical Methods 4 • Newton Raphson ...   (P2 Ch10)

INTEGRATION
- Standard Funcs:    • Integration 1 • Standard Functions • ...   (P2 Ch11 Integration)
- f'(ax+b) Type:    • Integration 2 • f(ax+b) type • P2 Ex1...   (P2 Ch11)
- Reverse Chain:    • Integration 4 • Reverse Chain Rule pt...   (P2 Ch11)
- Substitution:    • Integration 8 • By Substitution pt. 1...   (P2 Ch11)
- Integration by Parts:    • Integration 13 • By Parts pt. 1 • P2 ...   (P2 Ch11)
- Parametric:    • Integration 23 • Parametric • P2 Ex11...   (P2 Ch11)

CONTENTS:
0:00-1:49 Why you SHOULD memorise these facts
1:49-2:20 Key for Formula Page
2:20-4:31 Algebraic Laws (Year 1)
4:31-5:55 Geometry (Year 1/2)
5:55-7:00 Functions (Year 2)
7:00-11:41 Graphs & Coordinates (Year 1)
11:41-12:44 Vectors (Year 1/2)
12:44-14:15 Binomial Expansion (Year 1/2)
14:15-15:36 Series (Year 2)
15:36-22:08 Trigonometry (Year 1/2)
22:08-26:03 Differentiation (Year 1/2)
26:03-27:59 Numerical Methods (Year 2)
27:59-32:22 Integration (Year 1/2)
32:22-32:28 Outro

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