Calculus for Engineers (MAT1011) VIT Online Courses
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Calculus for Engineers (MAT1011)

 (4+)


Chennai - Vellore Institute of Technology | R - 21 | Sem - 1
 


This Product is as per University Syllabus
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This Course Includes
7 Units         28 Chapters         353 Solved Problems


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Course Curriculum

label_important1. APPLICATION OF SINGLE VARIABLE CALCULUS (4 Free Videos)

        4 Chapters | 47 Solved Problems

label_important 2. LAPLACE TRANSFORMS (Coming Soon)

       

label_important3. MULTIVARIABLE CALCULUS (4 Free Videos)

        4 Chapters | 33 Solved Problems

label_important 4. APPLICATION OF MULTIVARIABLE CALCULUS (3 Free Videos)

        3 Chapters | 22 Solved Problems

label_important 5. MULTIPLE INTEGRALS (7 Free Videos)

        7 Chapters | 79 Solved Problems

label_important 6. VECTOR DIFFERENTIATION (4 Free Videos)

        4 Chapters | 80 Solved Problems

label_important 7. VECTOR INTEGRATION (6 Free Videos)

        6 Chapters | 40 Solved Problems

Calculus for Engineers (MAT1011)

 Course Objectives:

  • To provide the requisite and relevant background necessary to understand the other important engineering mathematics courses offered for Engineers and Scientists.
  • To introduce important topics of applied mathematics, namely Single and Multivariable Calculus and Vector Calculus etc.
  • To impart the knowledge of Laplace transform, an important transform technique for Engineers which requires knowledge of integration
  • To make the students understand various techniques of integration.
  • To acquaint the student with mathematical tools needed in evaluating multiple integrals and their applications.

 Expected Course Outcomes:

    At the end of this course the students should be able to

  • Apply single variable differentiation and integration to solve applied problems in engineering and find the maxima and minima of functions
  • Understand basic concepts of Laplace Transforms and solve problems with periodic functions, step functions, impulse functions and convolution
  • Evaluate partial derivatives, limits, total differentials, Jacobians, Taylor series and optimization problems involving several variables with or without constraints
  • Evaluate multiple integrals in Cartesian, Polar, Cylindrical and Spherical coordinates.
  • Understand gradient, directional derivatives, divergence, curl and Greens’, Stokes, Gauss theorems 6. demonstrate MATLAB code for challenging problems in engineering

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