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# BCA Mathematics-I Syllabus

The article is published to provide the syllabus of Mathematics-I in BCA.

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:

## 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:

## 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

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