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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