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SYLLABUS
Basic Mathematics – I
Objectives: This course is designed to provide an introduction to the fundamental concepts in Mathematics. After the comple-
tion of this course prospective students will be able to apply the concepts of basic Mathematics in the professional course.
S. No. Description
1 Trigonometric Functions of Sum and Difference of Two Angles
2 Allied Angles. Transformation ormulae , Inverse Trigonometric Functions
3 Matrix, Types of Matrices, Matrix Operations, Addition, Substraction, Multiplication of Matrices, Transpose
of Matrix, Symmetric and Skew Symmetric Matrix
4 Adjoint of Matrix, Inverse of a Matrix using Elementary operation and Determinants Method
5 Minors and co-factors , Determinant , Solution of system of equations, Inverse of Matrix using determinants
6 Distance between two points, Slope of a line, Various forms of the equation of a line,
7 Distance of a Point from a Line, Circle.
8 Functions, Different types of functions, Limits and Continuity, Rules and Standard Procedures
9 Differentiability, Derivatives of Exponential, Logarithmic and Parametric Functions, Logarithmic
Differentiation,
10 Rate of Change, Tangents and Normal, Maxima and Minima.