Modular Mathematics: Pure Mathematics 2 Module B
Nelson Thornes Ltd (Publisher)
Published in March 1991
Book
Paperback/Softback
464 pages
978-0-7487-1110-9 (ISBN)
Description
Together with Module A, this book covers the work necessary for AS-level pure mathematics and the pure mathematics content of the A-level mathematics. There are consolidation sections summarizing work in preceding chapters, multiple choice questions and examination questions.
Together with Module A, this book covers the work necessary for AS-level pure mathematics and the pure mathematics content of the A-level mathematics. There are consolidation sections summarizing work in preceding chapters, multiple choice questions and examination questions.
Together with Module A, this book covers the work necessary for AS-level pure mathematics and the pure mathematics content of the A-level mathematics. There are consolidation sections summarizing work in preceding chapters, multiple choice questions and examination questions.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Oxford University Press
Target group
College/higher education
Illustrations
b&w illustrations
Dimensions
Height: 229 mm
Width: 152 mm
ISBN-13
978-0-7487-1110-9 (9780748711109)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
Functions: polynomial functions; rational functions; exponential functions; periodic/continuous functions; the modulus of a function. Curve sketching: curve sketching using transformations; the graph of the reciprocal of a function. Algebra: partial fractions; the cover-up method; logarithms; the laws of logarithms; exponential and logarithmic equations. Straight lines and circles: the angle between two lines; the distance of a point from a straight line; loci; the equation of a circle; tangents to circles; touching circles. Trigonometric identities and equations: the trigonometric functions; general solutions of trigonometric equations; compound angle identities; double angle identities; half-angle identities. Inequalities: use of graphical methods to solve inequalities; solving rational inequalities; problems involving the range of a function. Consolidation A. Differentiation of products and quotients: standard derivatives and stationary points; the second derivative and its use in distinguishing between different types of stationary points; differentiating a product of functions; differentiating a quotient of functions. Further trigonometric identities: the factor formulae. The exponential and logarithmic functions: the definition of e and the exponential function; natural logarithms; the logarithmic function and its derivative. Series: finding the sum of a number series using the method of differences; the natural number series; the sum to infinity of a number series; the binomial theorem for any real value of n; the factorial notation; approximations. Reduction of a relationship to a linear law. consolidation B. Trigonometric functions: expressing a cos 0 + b sin 0 as r sin (0+-a); solving the equation a cos 0 + b sin 0 = c; solving the equation cos A = cos B; inverse trigonometric functions; approximation for sin 0 cos 0 and tan 0 when 0 is small. Differentiation of trigonometric functions: deriavatives of the trig functions and the inverse trig functions. Differentiating implicit and parametric functions: differentiating implicit functions; logarithmic differentiation; differentiating a x; sketching and finding the gradient function of a curve with parametric equations. Co-ordinate geometry and curves: intersection of curves and the significance of coincident points of intersection; the cartesian and parametric equations of the parabola; the ellipse and the rectangular hyperbola. Consolidation C: integration: standard results; integrating by recognition; integration of products by recognition and by change of variable; integration by parts. Further integration: integrating fractions by recognition; by substitution and by using partial fractions; the use of partial fractions in differentiation; integrating compound trigonometric functions.