Edexcel C3 Core Maths
Algebra and Series
Functions
Notation
Domain and Range
Combining Functions
Inverse Functions
Transformations of Graphs (Revision of C1 work)
- Learn these base graphs
- Translations
- Reflections
- Stretches
- Exam Questions on transformations
Modulus Functions
- The modulus function
- Graph y=|f(x)|
- Graph y=f(|x|)
- Modulus Equations
- Modulus Inequalities
The Exponential Function e^{x}
- Exponential function (e^{x} )
- Sketching exponential graphs based on transformations :
Natural Log Functions
Trigonometry
Secant, Cosecant and Cotangent
Inverse trig. functions
Identities
- Pythagorean type: sin²x + cos²x ≡1 ; 1 + tan²x ≡ sec²x ; 1 + cot²x ≡ cosec²x
- Addition type: sin(A±B), cos(A±B) and tan(A±B)
- Addition Formulae (compound angles)
- Using the formulae to get exact values:
- Proving identities :
- Double angle type for sin2A, cos2A and tan2A
- Double angle formulae
- Half angles
- Applications - Triple angles
- Factor Formulae
- A cos x ± B sin x and A sin x ± B cos x type
Solving Equations using:
- the identities for A cos x ± B sin x and A sin x ± B cos x
- Examples : 1 and 2
Miscellaneous Exam Practice
Differentiation
Differentiating the exponential function e^{x}
Differentiating the natural log function, ln(x)
Differentiating the trig. functions, sin(x), cos(x) and tan(x)
The Chain Rule
- polynomial to a rational power types
- exponential types
- natural log types
- trigonometric types (1)
- trigonometric types (2)
The Product Rule
The Quotient Rule
Differentiating the trig. functions sec(x), cosec(x) and cot(x)
A Special Result
Miscellaneous Exam Practice
Numerical methods
Solution of Equations by:
Exam Papers
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