Krishna’s BCA Mathematics -I by J.P. Chauhan
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Overview: SYLLABUS- BCA MATHEMATICS-I,
Genre: Non-Fiction > Educational
Unit-I
Determinants:
Definition, Minors, Cofactors, Properties of Determinants MATRICES: Definition, Types
of Matrices, Addition, Subtraction, Scalar Multiplication and Multiplication of Matrices,
Adjoint, Inverse, Cramer’s Rule, Rank of Matrix Dependence of Vectors, Eigen Vectors of a
Matrix, Caley-Hamilton Theorem (without proof).
Unit-II
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.
Unit-III
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), Indeterminant Forms,
L’ Hospital’s Rule, Maxima & Minima, Curve Tracing, Successive Differentiation &
Leibnitz Theorem.
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