Total
Marks : 150
Minimum
Pass Marks : 40%
Theory Paper : 100
Maximum
Time : 3 Hrs
Internal
Assessment : 50
Note: Total 8 Questions are to be set by the examiner covering the entire syllabus uniformly. Question
No. 1(COMPULSORY) having Objective Type Questions of 2 marks from entire syllabus. Rest of the Seven
questions are from Section A, B & C of Syllabus. A candidate is require to attempt any Four questions out
of Sections A, B & C by selecting ATLEAST ONE Question from Each Section. All questions shall carry equal
marks.
SECTION A
MATRICES: Definition, Types of Matrices, Addition, Subtraction, Scalar Multiplication and Multiplication of Matrices, Adjoint, Inverse, Rank of Matrix Dependence of Vectors, Eigen Vectors of a Matrix, Cayley‐Hamilton Theorem
(without proof). Solving simultaneous equations
using gauss elimination method, gauss Jordan method and matrix inversion method.
DETERMINANTS: Definition, Minors, Cofactors, Properties of Determinants.
STATISTICS: Measures of Central Tendancy, Prepareing frequency distribution table, arithmetic mean, geometric mean, harmonic mean, median and mode. Measure of dispersion: Range, mean, deviation, standard deviation, co‐efficient of variation.
SECTION B
LIMITS & CONTINUITY: Limit at a Point, Properties of Limit, Computation of Limits of Various Types of
Functions, Continuity
at a Point, Continuity Over an
Interval, Intermediate Value Theorem, Type
of Discontinuities.
DIFFERENTIATION:
Derivative, Derivatives of Sum, Differences,
Product & Quotients, Chain Rule, Derivatives of Composite Functions, Logarithmic Differentiation, Rolle’s Theorem, Mean Value Theorem, Expansion of
Functions (Maclaurin’s & Taylor’s),
Indeterminate Forms, L’ Hospitals Rule,
Maxima & Minima, Concavity,
Asymptote, Singular Points, Curve Tracing,
Successive Differentiation & Liebnitz Theorem.
SECTION C
INTEGRATION: Integral as Limit of Sum, Riemann Sum, Fundamental Theorem of Calculus, Indefinite Integrals, Methods of Integration Substitution, By Parts, Partial Fractions, Integration
of Algebraic and Transcedental Functions, Elementary concepts of Gamma and Beta Functions.
VECTOR ALGEBRA: Definition of a vector in 2 and 3 Dimensions; Double and Triple Scalar and Vector Product and their Applications.
