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The objective is to keep our class in touch with the real world and to enhance true professionalism in the students.
Indicative Contents
Unit 1: Algebra
Set theory :Definitions, Set elements, Subsets, Set operations andapplications to probability; Set of real numbers, exponentiation and irrational numbers in IR, factorisation in IR ,and algebraic fractions ;
Functions: Definitions, domain of a function, graphs of functions, parity,periodicity, quadratic and parabolic functions ;
Equations: First and second-order equations; Exponential equations.
Sequences and series: Definitions and properties, Arithmetic andGeometric progressions, Sum operations.
Unit 2: Matrix algebra
Definitions, and properties; Types of matrices, operations on matrices Determinant of a matrix, matrix inversion, Application of matrices
Unit 3: Differential and integral calculus
Differential calculus: Limits and continuity, Rules of differentiation, derivatives of explicit and implicit functions(polynomial, logarithmic, exponential), Higher order derivatives
Integral calculus :Definition, Rules of integration, Integral functions, Applications
Differential calculus: Limits and continuity, Rules of differentiation, derivatives of explicit and implicit functions(polynomial, logarithmic, exponential), Higher order derivatives
Integral calculus : Definition, Rules of integration, Integral functions, Applications , Limits, continuity, differentiation, integration, and transcendental functions.
MULTIVARIABLE CALCULUS: Partial differentiation, multiple integration, and infinite series.