Your roadmap · आपका रोडमैप
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Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
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Part 1 of the syllabusपाठ्यक्रम भाग 1Unit-wise coaching with notes and doubt classes.
Unit 1: SetsUnit 2: Relations and FunctionsUnit 3: Matrices and Determinants
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Part 2 of the syllabusपाठ्यक्रम भाग 2Unit-wise coaching with notes and doubt classes.
Unit 4: Limits and ContinuityUnit 5: DifferentiationUnit 6: Integration
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Unit tests & assignmentsयूनिट टेस्टRegular tests in the university / board pattern.
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Semester 1 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षाPrevious papers and full revision before the exam.
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Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
Syllabus · पाठ्यक्रम
1 subject · 6 chapters · 27 topics
01Unit 1: Sets
5 topics+
- Types of sets
- Subsets and power set
- Union, intersection, difference, complement
- Venn diagrams
- n(A U B) formula
02Unit 2: Relations and Functions
4 topics+
- Cartesian product
- Reflexive, symmetric, transitive and equivalence relations
- Types of functions - one-one, onto, bijective
- Composition and inverse of functions
03Unit 3: Matrices and Determinants
6 topics+
- Types of matrices
- Addition and multiplication of matrices
- Transpose
- Determinants of order 2 and 3
- Adjoint and inverse
- Solving equations by matrix method
04Unit 4: Limits and Continuity
4 topics+
- Concept of limit
- Standard limits
- Left and right limits
- Continuity of a function
05Unit 5: Differentiation
4 topics+
- Derivative from first principles
- Rules - sum, product, quotient, chain
- Derivatives of standard functions
- Maxima and minima
06Unit 6: Integration
4 topics+
- Integration as anti-derivative
- Standard integrals
- Integration by substitution and by parts
- Definite integrals and properties
About this course
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)
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
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.
