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Applied Mathematics-I

Diploma Engineering · Semester 1 — Algebra, trigonometry, coordinate geometry and basics of differential calculus for engineering use.

6 महीनेअवधि 1Subject 4Chapters ऑनलाइनTests & result

Your roadmap · आपका रोडमैप

  1. 1
    Admission & first meetingप्रवेश और पहली मुलाकात

    Enquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.

  2. 2
    Part 1 of the syllabusपाठ्यक्रम भाग 1

    Unit-wise coaching with notes and doubt classes.

    Unit 1: AlgebraUnit 2: Trigonometry
  3. 3
    Part 2 of the syllabusपाठ्यक्रम भाग 2

    Unit-wise coaching with notes and doubt classes.

    Unit 3: Coordinate GeometryUnit 4: Differential Calculus
  4. 4
    Unit tests & assignmentsयूनिट टेस्ट

    Regular tests in the university / board pattern.

  5. 5
    Semester 1 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षा

    Previous papers and full revision before the exam.

  6. 6
    Online tests & resultऑनलाइन टेस्ट और रिज़ल्ट

    Take the tests online; your marks and result show in your student login and at the centre.

सिलेबस · पाठ्यक्रम

1 subject · 4 chapters · 24 topics

01Unit 1: Algebra 6 टॉपिक
  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 टॉपिक
  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 टॉपिक
  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 टॉपिक
  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 this course

आप यह कर पाएँगे

  • 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

यह किसके लिए है

  • 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

आपको क्या चाहिए

  • Class 10 mathematics (Class 12 mathematics helpful but not required)
  • 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-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.

Download the syllabus (PDF)

Tell us who you are — your copy is made with your name, and our counsellor can help you choose the right course and centre.

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