MEI A Level Further Mathematics Year 2 4th Edition.
Exam Board: MEILevel: A-levelSubject: MathematicsFirst Teaching: September 2018First Exam: June 2019 Help students to develop their knowledge and apply their reasoning to mathematical problems with textbooks that draw on the well-known MEI (Mathematics in Education and Industry) series, updated and...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Hodder Education Group,
2017.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Book title
- Copyright
- Contents
- Getting the most from this book
- Prior knowledge
- 1 Vectors
- Review: Working with vectors
- 1.1 The vector equation of a line
- 1.2 Lines and planes
- Review: Matrices and transformations
- R.1 Matrices
- R.2 Using matrices to represent transformations
- R.3 Invariance
- 2 Matrices
- Review: The determinant of a 2 Ã#x97; 2 matrix
- 2.1 Finding the inverse of a 3 Ã#x97; 3 matrix
- 2.2 Intersection of three planes
- 3 Series and induction
- 3.1 Summing series
- 3.2 Proof by induction
- 4 Further calculus4.1 Improper integrals
- 4.2 Calculus with inverse trigonometric functions
- 4.3 Partial fractions
- 4.4 Further integration
- Practice Questions Further Mathematics 1
- 5 Polar coordinates
- 5.1 Polar coordinates
- 5.2 Sketching curves with polar equations
- 5.3 Finding the area enclosed by a polar curve
- 6 Maclaurin series
- 6.1 Polynomial approximations and Maclaurin series
- 6.2 Using Maclaurin series for standard functions
- Review: Complex numbers
- R.1 Working with complex numbers
- R.2 Representing complex numbers geometrically7 Hyperbolic functions
- 7.1 Hyperbolic functions
- 7.2 Inverse hyperbolic functions
- 7.3 Integration using inverse hyperbolic functions
- 8 Applications of integration
- 8.1 Volumes of revolution
- 8.2 The mean value of a function
- 8.3 General integration
- Practice Questions Further Mathematics 2
- Review: Roots of polynomials
- R.1 Roots and coefficients
- R.2 Complex roots of polynomial equations
- 9 First order differential equations
- 9.1 Modelling rates of change
- 9.2 Separation of variables9.3 Integrating factors
- 10 Complex numbers
- Review: The modulus and argument of a complex number
- 10.1 De Moivre's theorem
- 10.2 The n[Sup(th)] roots of a complex number
- 10.3 Finding multiple angle identities using de Moivre's theorem
- 10.4 The form z = re[Sup(iÎı)]
- 11 Vectors 2
- 11.1 The vector product
- 11.2 Finding distances
- 12 Second order differential equations
- 12.1 Higher order differential equations
- 12.2 Auxiliary equations with complex roots
- 12.3 Non-homogeneous differential equations
- 12.4 Systems of differential equationsPractice Questions Further Mathematics 3
- Answers
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- Y