NDSS Academy

Mathematics-I (BCA)

Sets, relations, functions, matrices, determinants, limits, differentiation and integration.

6 MonthsDuration 6Chapters27Topics
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Syllabus · पाठ्यक्रम

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01Unit 1: Sets 5 topics
  1. Types of sets
  2. Subsets and power set
  3. Union, intersection, difference, complement
  4. Venn diagrams
  5. n(A U B) formula
02Unit 2: Relations and Functions 4 topics
  1. Cartesian product
  2. Reflexive, symmetric, transitive and equivalence relations
  3. Types of functions - one-one, onto, bijective
  4. Composition and inverse of functions
03Unit 3: Matrices and Determinants 6 topics
  1. Types of matrices
  2. Addition and multiplication of matrices
  3. Transpose
  4. Determinants of order 2 and 3
  5. Adjoint and inverse
  6. Solving equations by matrix method
04Unit 4: Limits and Continuity 4 topics
  1. Concept of limit
  2. Standard limits
  3. Left and right limits
  4. Continuity of a function
05Unit 5: Differentiation 4 topics
  1. Derivative from first principles
  2. Rules - sum, product, quotient, chain
  3. Derivatives of standard functions
  4. Maxima and minima
06Unit 6: Integration 4 topics
  1. Integration as anti-derivative
  2. Standard integrals
  3. Integration by substitution and by parts
  4. Definite integrals and properties

About

You will be able to

  • Use set operations, Venn diagrams and the counting formula for unions
  • Identify types of relations and functions and find compositions
  • Perform matrix operations and evaluate determinants
  • Evaluate standard limits and test continuity
  • Differentiate algebraic and trigonometric functions and find maxima and minima
  • Integrate standard functions and evaluate definite integrals

Who it is for

  • BCA students of Semester 1 (UP state universities, Lucknow University pattern)
  • Students from commerce or arts backgrounds who need extra support in mathematics

What you need

  • Class 12 mathematics (or Class 10 mathematics with bridge classes at the centre)

Questions

Which syllabus does this Mathematics-I course follow?

It follows the common UP state university BCA syllabus (University of Lucknow pattern) for BCA Semester 1. If your own university's syllabus differs, the centre follows your university's syllabus and unit order.

I did not take mathematics in Class 12. Can I pass?

Yes. The centre runs bridge classes on algebra and basic calculus before each unit.

Is the exam mostly numerical?

Yes. Most questions are problems on sets, matrices, limits, derivatives and integrals, with a few definitions.

Download the syllabus (PDF)

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