Integration: definite and indefinite integrals, and their applications
(area under a curve, area bounded by two curves, solids of revolution (disc
functions: exponential, logarithm functions, the hyperbolic functions,
hyperbolic inverse functions, and their derivatives and integrations
of integration: (change of variables to find integrations, integration by
parts, integration by substations, integration using partial fraction,
complex numbers: (definition, properties, conjugates, absolute values, polar
forms, and determining roots).
of several variables: (partial derivatives, implicit differentiation, chain
rule and its applications, total differentiation and its applications, total
differentiation of derivatives of second and higher order, maxima and minima,
and Lagrange multiplier method).