As you are asking for IP University BCA program Notes/syllabus, so on your demand I am providing same for you :

UNIT - I
DETERMINANTS: Definition, Minors, Cofactors, Properties of Determinants, MATRICES:
Definition, Types of Matrices, Addition, Subtraction, Scalar Multiplication and Multiplication
of Matrices, Adjoint, Inverse, Cramers Rule, Rank of Matrix Dependence of Vectors, Eigen -
Vectors of a Matrix, Caley-Hamilton Theorem (without proof)
[No. of Hrs: 12]
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.
[No. of Hrs: 10]
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),
Indeterminate Forms, L’ Hospitals Rule, Maxima & Minima, Asymptote, Successive
Differentiation & Liebnitz Theorem.
[No. of Hrs: 12]
UNIT – IV
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, Reduction Formulae for Trigonometric Functions,
Gamma and Beta Functions.
[No. of Hrs: 10

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