Applied Mathematics

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APPLIED MATHEMATICS DI02000011
FREE PDF DI02000011
Code: DI02000011 Credits: 4 Semester 2 CS-AI

Applied Mathematics

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

Applied Mathematics Syllabus — Unit-wise Content

The official GTU curriculum for Applied Mathematics (subject code DI02000011) as prescribed for CS-AI · Semester 2 divides the course into 5 units, covering 18 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (DI02000011)

Unit 1 Matrices

10 lecture hours

  • 1.1 Concept of Matrix 1.2 Types of Matrices 1.3 Addition
  • Subtraction and multiplication by scalar of matrices 1.4 Product of two matrices 1.5 Adjoint and Inverse of a matrix of order 2X2 and 3X3. 1.6 Solution of Simultaneous linear equations of two variables

Unit 2 Differentiatio

11 lecture hours

  • n and its Applications 2.1
  • Concept and Definition of Differentiation 2.2
  • Working rules : Sum, Product
  • Chain Rule 2.4
  • Derivative of Implicit functions 2.5
  • Derivative of Parametric functions 2.6
  • Logarithmic Differentiation 2.7
  • Successive Differentiation up to second order 2.8
  • Applications: Velocity
  • Maxima & Minima of given simple functions
  • Program Name: Diploma in Engineering Level: Diploma Branch: Automobile/Bio-Medical/Chemical/Civil/Computer/Electronics & Communication/Environmental/Information Technology/Mechanical /Mechatronics/Mining/Textile Processing/Textile Manufacturing/ Computer Science & Engineering/ICT/Ceramic/Fabrication/Printing/ Textile Designing/Mechanical (CAD/CAM) / Cyber System and Information Security Course / Subject Code: DI02000011 Course / Subject Name: Applied Mathematics

Unit 3 Integration

10 lecture hours

  • and its Applications 3.1 Concept and Definition of Integration. 3.2 Working rules and Integral of standard functions. 3.3 Method of substitution. 3.4 Integration by parts. 3.5 Definite Integral and its properties. 3.6 Applications: Area and volume
  • (Simple problems)

Unit 4 Differential

7 lecture hours

  • Equations 4.1 Concept and Definition
  • Order and Degree of differential equation. 4.2 Solution of DE of first degree and first order by Variable Separable method. 4.3 Solution of linear Differential equation

Unit 5 Statistics

7 lecture hours

  • 5.1 Mean for ungrouped and grouped data. 5.2 Mean deviation and Standard deviation about Mean for ungrouped and grouped data

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