University of Cebu-Banilad Library

Includes index.

Contents: Use and theory of logarithms -- The binomial theorem for a positive integral index -- The binomial theorem for any index -- Partial fractions -- Trigonometry (revision) -- Compound angles. inverse notation -- Multiple and sub-multiple angles. angles between two lines -- Sums and differences of sines and cosines expressed as products -- Identities of the form -- Trigonometric equations -- Trigonometric formulate suitable for logarithmic calculation -- Trigonometric graphs -- determination of laws -- Polar coordinates -- Vectors and complex numbers -- Coordinate geometry. the straight line -- Common curves. intersection of graphs -- Gradients. differentiation -- Differentiation by rule. tangents and normals -- Successive differentiation. velocity and acceleration -- maxima and minima. points of inflexion -- Problems of maxima and minima -- Differentiation of a function . small corrections. rates of change -- Differentiation of products and quotients. implicit functions -- Differentiation of trigonometric functions. simple harmonic motion. parameters -- Integration. applications of indefinite integrals -- Areas and definite integrals -- Areas (continued). volumes -- Simpson's rule. applications of definite integrals -- Integration of simple trigonometric functions. mean values and root-mean-square values -- Centroids. centres of gravity -- Centroids (continued). theorems of pappus. surface of zone of sphere -- Moments of inertia -- Moments of inertia (continued). Theorems of parallel and perpendicular axes. centre of pressure -- Integration by inspection or change of variable. use of trigonometric identities for integration -- Differentiation of inverse trigonometric functions. applications to integration. expansions in series -- Exponential and logarithmic functions -- Integration using partial fractions. integration by parts.

Education : Math

English