NDSS Academy

Applied Mathematics-I (Diploma)

Algebra, trigonometry, coordinate geometry and basics of differential calculus for engineering use.

6 MonthsDuration 4Chapters24Topics
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Syllabus · पाठ्यक्रम

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01Unit 1: Algebra 6 topics
  1. Logarithms and their laws
  2. Partial fractions
  3. Permutations and combinations
  4. Binomial theorem for positive integral index
  5. General term and middle term
  6. Determinants of order 2 and 3
02Unit 2: Trigonometry 6 topics
  1. Measurement of angles: degree and radian
  2. Trigonometric ratios of standard and allied angles
  3. Fundamental identities
  4. Compound angle formulae
  5. Multiple and sub-multiple angles
  6. Sum and product formulae
03Unit 3: Coordinate Geometry 6 topics
  1. Distance and section formula
  2. Area of a triangle
  3. Slope of a line
  4. Equations of a straight line in different forms
  5. Angle between two lines and perpendicular distance
  6. General equation of a circle
04Unit 4: Differential Calculus 6 topics
  1. Functions and their types
  2. Limits of algebraic and trigonometric functions
  3. Derivative from first principle
  4. Derivatives of standard functions
  5. Product, quotient and chain rules
  6. Applications: rate of change, tangent, maxima and minima

About

You will be able to

  • Use logarithms, partial fractions, permutations, combinations and the binomial theorem in engineering problems
  • Convert angles, use trigonometric ratios, identities and compound-angle formulae
  • Find distance, slope and equations of straight lines and circles
  • Evaluate limits of algebraic and trigonometric functions
  • Differentiate functions using standard formulae, product, quotient and chain rules
  • Apply derivatives to rate of change, tangents and simple maxima-minima problems

Who it is for

  • Diploma engineering students of Semester 1 (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

  • Class 10 mathematics (Class 12 mathematics helpful but not required)
  • Scientific calculator

Questions

Which syllabus does this course follow?

It follows the BTEUP (Board of Technical Education, Uttar Pradesh) syllabus of Applied Mathematics-I (Semester 1). 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.

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

Yes. The course starts from Class 10 level and builds each topic with many solved examples.

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