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Applied Mathematics-II (Diploma)

Integral calculus, differential equations, matrices, vectors and basic probability.

6 MonthsDuration 5Chapters28Topics
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Syllabus · पाठ्यक्रम

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01Unit 1: Integral Calculus 7 topics
  1. Integration as inverse of differentiation
  2. Standard integrals
  3. Integration by substitution
  4. Integration by parts
  5. Integration using partial fractions
  6. Definite integrals and their properties
  7. Area under a curve
02Unit 2: Differential Equations 6 topics
  1. Order and degree
  2. Formation of differential equations
  3. Variable separable method
  4. Homogeneous equations
  5. Linear differential equations of first order
  6. Simple engineering applications
03Unit 3: Matrices 5 topics
  1. Types of matrices
  2. Addition and multiplication of matrices
  3. Transpose and determinant
  4. Adjoint and inverse of a matrix
  5. Solution of simultaneous equations by matrix method
04Unit 4: Vector Algebra 5 topics
  1. Scalars and vectors, unit vectors
  2. Addition of vectors, position vector
  3. Dot product and its applications (work done)
  4. Cross product and its applications (moment, area)
  5. Angle between two vectors
05Unit 5: Probability and Statistics 5 topics
  1. Random experiment, sample space and events
  2. Classical probability
  3. Addition and multiplication theorems
  4. Mean, median and mode of grouped data
  5. Standard deviation

About

You will be able to

  • 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

Who it is for

  • 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

What you need

  • Applied Mathematics-I (Semester 1)
  • Scientific calculator

Questions

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.

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