CALCULUS (U19MA101) | VCEW syllabu, notes, examples, videos
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Vivekanandha College of Engineering for Women - Tamilnadu | R - 19 | Sem - 1

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This Course Includes
5 Units         39 Chapters         407 Solved Problems

 Set of Solved Problems for “FREE”

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Course Curriculum

label_important1. DIFFERENTIAL CALCULUS (9 Free Videos)

        9 Chapters | 108 solved Problems

label_important2. FUNCTIONS OF SEVERAL VARIABLES (8 Free Videos)

        8 Chapters | 72 Solved Problems

label_important3. INTEGRAL CALCULUS (6 Free Videos)

        6 Chapters | 79 Solved Problems

label_important4. MUTIPLE INTEGRALS (7 Free Videos)

        7 Chapters | 79 Solved Problems

label_important5. ORDINARY DIFFERENTIAL EQUATIONS (9 Free Videos)

        9 Chapters | 69 Solved Problems


 Course Objective:

  • Provide the information about Review of limits, continuity and differentiability.
  • Understand maxima and minima of functions of two variables.
  • Demonstrate Integral calculus.
  • Identify the problems based on area, surface and volume.
  • To Recognize the Second order linear differential equations.

Course Outcome:

  • CO1: Apply Mean value theorem and Taylor’s theorem. K1,K3
  • CO2: Analyze Total derivative. K2,K4
  • CO3: Formulate Reduction Formulae. K3,K5
  • CO4: Translate Change of order of integration. K2,K5
  • CO5: Apply method of variation of parameters. K3,K5


1. Stewart, J. Calculus: Early Transcendentals (8th Edition), Cengage Learning, 2015.

2. Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 43rd Edition, 2014.


1. Kreyszig E, Advanced Engineering Mathematics (10th Edition), John Wiley (2015).

2. Boyce W E and DiPrima R, Elementary Differential Equations (9th Edition), John Wiley (2005).

3. Nishant Shukla, Elementary Integral Calculus

4. Anton H, Calculus: Early Transcendentals, 10th Edition, Wiley (2012).

5. B V Ramana, Higher Engineering Mathematics, Tata McGraw Hill Education Pvt Ltd., New Delhi (2012).


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