MEI A Level Further Mathematics Year 2 4th Edition
Mathematics e-böcker Problems and exercises
Hodder Education Group
2017
EISBN 9781471852060
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
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
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
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
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
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 tailored to the 2017 OCR (MEI) specification and developed by subject experts and MEI.- Ensure targeted development of reasoning and problem-solving skills with plenty of practice questions and structured exercises that build mathematical skills and techniques.- Build connections between topics, u.
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
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
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
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
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
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 tailored to the 2017 OCR (MEI) specification and developed by subject experts and MEI.- Ensure targeted development of reasoning and problem-solving skills with plenty of practice questions and structured exercises that build mathematical skills and techniques.- Build connections between topics, u.
