Comprehensive degree mathematics [Vol - I] / by Dinabandhu Chatterjee and Bidyut Kumar Pal

MODULE - I GROUP - A Classical algebra Complex number Theory of equations Determinants Matrix GROUP - B Analytical geometry of two dimensions Transformation of co-ordinates Pair of straight lines General equation of the second degree Tangents to a conic: chord of contact Poles and polars Polar equation GROUP - C Vector algebra Preliminary ideas of vector Product of vectors Application of vector and vector equations MODULE - II GROUP - A Differential calculus An idea of number system Sequence Infinite Functions Limit Continuity Differentiation Significance of derivative Successive differentiation Tangents and normals Maxima and minima of functions of a single variable Singular points: node, cusp, isolated point Asymptotes GROUP - B Integral calculus Indefinite integrals Definite integral GROUP - C Ordinary differential equations Preliminary ideas: differential equations Differential equations of the first order and the first degree Exact differential equations Linear equations of first order Differential equations of the first order but not first degree Application of differential equation