 BCA Semester-Ist - Mathematics-I Syllabus

« Previous Course Next Course »

Here you will find the syllabus of fifth subject in BCA Semester-Ist, which is Mathematics-I.

Important - The syllabus may vary from college to college.

Mathematics-I Units

This course/subject is divided into total of 5 units as given below:

1. Determinants
2. Limits and Continuity
3. Differentiation
4. Integration
5. Vector Algebra

Now let's expand the above listed units with its syllabus.

Unit-I Syllabus - Determinants

Here are the list of topics that comes under the syllabus of unit-I, that is determinants:

• Definition
• Minors
• Cofactors
• Properties of Determinants
• Matrices
• Definition
• Types of Matrices
• Matrix Subtraction
• Matrix Multiplication
• Scalar Multiplication
• Inverse
• Cramer's Rule
• Rank of Matrix Dependence of Vectors
• Eigen Vectors of a Matrix
• Calley-Hamilton Theorem (without proof)

Unit-II Syllabus - Limits and Continuity

Here are the list of topics that comes under the syllabus of unit-II, that is limits and 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 Syllabus - Differentiation

Here are the list of topics that comes under the syllabus of unit-III, that is differentiation:

• Derivative
• Derivatives of Sum
• Differences
• Product and Quotients
• Chain Rule
• Derivatives of Composite
• Functions
• Logarithmic Differentiation
• Rolle's Theorem
• Mean Value Theorem
• Expansion of Functions (Maclaurin's and Taylor's)
• Indeterminate Forms
• L' Hospitals Rule
• Maxima and Minima
• Curve Tracing
• Successive Differentiation and Liebnitz Theorem

Unit-IV Syllabus - Integration

Here are the list of topics that comes under the syllabus of unit-IV, that is integration:

• Integral as Limit of Sum
• Fundamental Theorem of Calculus (without proof)
• Indefinite Integrals
• Methods of Integration
• Substitution
• By Parts
• Partial Fractions
• Reduction Formulae for Trigonometric Functions
• Definition of Gamma and Beta Functions

Unit-V Syllabus - Vector Algebra

Here are the list of topics that comes under the syllabus of unit-V, that is vector algebra:

• Definition of a vector in 2 and 3 Dimensions
• Double and Triple Scalar and Vector Product and physical interpretation of area and volume

« Previous Course Next Course »