Course Convenor:Dr A Mazumdar back to top CMod descriptionback
to top This module covers basic algebra and functions, leading
to the practice and application of differentiation. Topics
covered include equations and inequalities, dependent and
independent variables; graphs and curve sketching; polynomial
functions, inverse functions, and functions of functions;
trigonometric and exponential functions. Derivatives of
functions, methods of differentiation, products and chain rule.
Curriculum Design: Outline Syllabusback to top Symbolic
manipulation. Distinction between arithmetic of numbers and
algebra of symbols. Symbols representing real numbers, their
powers and inequalities. Cartesian coordinates, real valued
functions and their graphs in 2D and 3D Angular measures
(radians and degrees) and 2D and 3D polar coordinates. Periodic
functions. Trigonometric functions. Graphical location of real
roots of quadratic and cubic equations Graphs of a xn for
constant a > 0. Exponential function and notion of limits. Nat