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: Integral CalculusUnit 2: Differential EquationsUnit 3: Matrices
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Part 2 of the syllabusपाठ्यक्रम भाग 2Unit-wise coaching with notes and doubt classes.
Unit 4: Vector AlgebraUnit 5: Probability and Statistics
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Unit tests & assignmentsयूनिट टेस्टRegular tests in the university / board pattern.
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Semester 2 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.
सिलेबस · पाठ्यक्रम
1 subject · 5 chapters · 28 topics
01Unit 1: Integral Calculus
7 टॉपिक+
- Integration as inverse of differentiation
- Standard integrals
- Integration by substitution
- Integration by parts
- Integration using partial fractions
- Definite integrals and their properties
- Area under a curve
02Unit 2: Differential Equations
6 टॉपिक+
- Order and degree
- Formation of differential equations
- Variable separable method
- Homogeneous equations
- Linear differential equations of first order
- Simple engineering applications
03Unit 3: Matrices
5 टॉपिक+
- Types of matrices
- Addition and multiplication of matrices
- Transpose and determinant
- Adjoint and inverse of a matrix
- Solution of simultaneous equations by matrix method
04Unit 4: Vector Algebra
5 टॉपिक+
- Scalars and vectors, unit vectors
- Addition of vectors, position vector
- Dot product and its applications (work done)
- Cross product and its applications (moment, area)
- Angle between two vectors
05Unit 5: Probability and Statistics
5 टॉपिक+
- Random experiment, sample space and events
- Classical probability
- Addition and multiplication theorems
- Mean, median and mode of grouped data
- Standard deviation
About this course
आप यह कर पाएँगे
- Integrate standard functions using substitution, parts and partial fractions
- Evaluate definite integrals and find areas under curves
- Form and solve first-order differential equations (variable separable, linear)
- Perform matrix operations, find determinants and inverses and solve linear equations
- Use vector algebra: dot and cross products in work and moment problems
- Find probabilities of simple events and basic statistical measures
यह किसके लिए है
- Diploma engineering students of Semester 2 (BTEUP) - Civil Engineering, Computer Science & Engineering, Electrical Engineering, Electronics Engineering, Mechanical Engineering
- Polytechnic students who need regular coaching, revision and practice for the BTEUP semester examination
आपको क्या चाहिए
- Applied Mathematics-I (Semester 1)
- Scientific calculator
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
सवाल
Which syllabus does this course follow?
It follows the BTEUP (Board of Technical Education, Uttar Pradesh) syllabus of Applied Mathematics-II (Semester 2). Where your polytechnic follows a different board or a revised syllabus, the centre follows your own syllabus.
Will it help in the semester examination?
Yes. Every unit is covered with solved examples, unit-wise MCQs and previous-year style questions for the BTEUP theory and practical exams.
Do I need Applied Mathematics-I first?
Yes, differentiation from Semester 1 is the base; it is quickly revised in the first classes.
