A textbook of practical mathematics for engineering students: volume I/ I.B. Prasad

Determinants -- Matrix algebra -- The point -- Locus -- The straight line -- Equations of second and higher degrees representing straight lines -- Transformation of axes -- The circle -- The parabola -- The ellipse -- The hyperbola -- Polar coordinates -- The general equation of the second degree -- Solid geometry -- The plane -- The right lane -- The sphere -- Cone, cylinder, surfaces of revolution -- Vector algebra -- Scalar or dot product -- Vector or cross product -- Application of vector algebra to mechanics -- Limits and differentiation -- Successive differentiation -- Tangents and normals -- General theorems -- Expansion of functions -- Indeterminate forms -- Curvature -- Concavity, convexity, points of inflexion -- Asymptotes -- Maxima and minima -- Miscellaneous applications -- Functions of several variables, partial differentiation -- Envelopes