Semester-First BCA 1005

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Mathematics –I ( 1005 )

Matrices and Determinants:-

• Matrix, Types of matrices
• Addition, subtraction.
• Scalar multiplication of a matrix.
• Product of two matrices.
• Determinants of a square matrix.
• Co-factor of element of a square matrix.
• Ad joint Inverse of a Square Matrix.
• Cayley Hamilton theorem (statement only) and problems.

Limits and Continuity:-

• Limit at a Point, Properties of Limit.
• Computation of Limits of Various Types of Functions - 
• Indeterminate Forms
• L’ Hospitals Rule
• Continuity at a Point
• Continuity Over an Interval

Differentiation:-

• Derivatives of Sum.
• Differences of Product & Quotients.
• Chain Rule.
• Derivatives of Composite Functions.
• Logarithmic Differentiation.
• Rolle’s Theorem, Mean Value Theorem.
• Maxima & Minima.
• Taylor’s and Maclaurin’s Theorem.

Integration:-

• Fundamental Theorem of Calculus ( without proof.).
• Indefinite Integrals, Methods of Integration Substitution.
• By Parts and Partial Fractions. 

Basic level Differentiation and Integration. Suggestion solved full kph/shanti.

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