Applied Mathematics 2 BE Civil Engineering Semester 2 (FE First Year) University of Mumbai Syllabus 2023-24

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University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus - Free PDF Download

University of Mumbai Syllabus 2023-24 Semester 2 (FE First Year): The University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for the examination year 2023-24 has been released by the , University of Mumbai. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2023-24 University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new University of Mumbai syllabus to prepare for their annual exam properly.

The detailed University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for 2023-24 is below.

CBCGS [2016 - current]
CBGS [2012 - 2015]
Old [2000 - 2011]

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Revised Syllabus

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 and their Unit wise marks distribution

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Course Structure 2023-24 With Marking Scheme

#Unit/TopicWeightage
C  Beta and Gamma Functions, Differentiation Under Integral Sign and Exact Differential Equation old 
101  Beta and Gamma Functions and Its Properties 
102  Rectification of Plane Curves 
103  Differential Equation of First Order and First Degree 
CC  Differential Calculus old 
201  Linear Differential Eqaution with Constant Coeffiecient 
202  Linear Differential Equations(Review), Equation Reduciable to Linear Form, Bernoulli’S Equation 
203  Cauchy’S Homogeneous Linear Differential Equation and Legendre’S Differential Equation, Method of Variation of Parameters 
204  Simple Application of Differential Equation of First Order and Second Order to Electrical and Mechanical Engineering Problem 
CCC  Numerical Solution of Ordinary Differential Equations of First Order and First Degree and Multiple Integrals old 
301  Multiple Integrals‐Double Integration 
302  Taylor’S Series Method,Euler’S Method,Modified Euler Method,Runga‐Kutta Fourth Order Formula 
CD  Multiple Integrals with Application and Numerical Integration old 
401  Triple Integration 
402  Application to Double Integrals to Compute Area, Mass, Volume. Application of Triple Integral to Compute Volume 
403  Numerical Integration 
D  Differential Equations of First Order and First Degree 
DC  Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order 
DCC  Numerical Solution of Ordinary Differential Equations of First Order and First Degree, Beta and Gamma Function 
DCCC  Differentiation Under Integral Sign, Numerical Integration and Rectification 
CM  Double Integration 
M  Triple Integration and Applications of Multiple Integrals 
 Total -
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Syllabus

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 100: Beta and Gamma Functions, Differentiation Under Integral Sign and Exact Differential Equation old

101 Beta and Gamma Functions and Its Properties
102 Rectification of Plane Curves
103 Differential Equation of First Order and First Degree

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 200: Differential Calculus old

201 Linear Differential Eqaution with Constant Coeffiecient
202 Linear Differential Equations(Review), Equation Reduciable to Linear Form, Bernoulli’S Equation
203 Cauchy’S Homogeneous Linear Differential Equation and Legendre’S Differential Equation, Method of Variation of Parameters
204 Simple Application of Differential Equation of First Order and Second Order to Electrical and Mechanical Engineering Problem

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 300: Numerical Solution of Ordinary Differential Equations of First Order and First Degree and Multiple Integrals old

301 Multiple Integrals‐Double Integration
302 Taylor’S Series Method,Euler’S Method,Modified Euler Method,Runga‐Kutta Fourth Order Formula

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 400: Multiple Integrals with Application and Numerical Integration old

401 Triple Integration
402 Application to Double Integrals to Compute Area, Mass, Volume. Application of Triple Integral to Compute Volume
403 Numerical Integration

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 500: Differential Equations of First Order and First Degree

  • Exact Differential Equations  
  • Equations Reducible to Exact Form by Using Integrating Factors  
  • Linear Differential Equations  
  • Equation Reducible to Linear Form  
  • Bernoulli’S Equation  
  • Simple Application of Differential Equation of First Order and First Degree to Electrical and Mechanical Engineering Problem  

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 600: Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

  • Linear Differential Equation with Constant Coefficient‐ Complementary Function  
  • Particular Integrals of Differential Equation  
  • Cauchy’S Homogeneous Linear Differential Equation  
  • Legendre’S Differential Equation  
  • Method of Variation of Parameters  

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 700: Numerical Solution of Ordinary Differential Equations of First Order and First Degree, Beta and Gamma Function

  • Taylor’S Series Method  
  • Euler’S Method  
  • Modified Euler Method  
  • Runga‐Kutta Fourth Order Formula  
  • Beta and Gamma Functions and Its Properties  

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 800: Differentiation Under Integral Sign, Numerical Integration and Rectification

  • Differentiation Under Integral Sign with Constant Limits of Integration  
  • Numerical Integration‐ by Trapezoidal  
  • Numerical Integration‐ by Simpson’S 1/3rd  
  • Numerical Integration‐ by Simpson’S 3/8th Rule  
  • Rectification of Plane Curves  

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 900: Double Integration

  • Double Integration‐Definition  
  • Evaluation of Double Integrals  
  • Change the Order of Integration  
  • Evaluation of Double Integrals by Changing the Order of Integration and Changing to Polar Form  

University of Mumbai Semester 2 (FE First Year) Applied Mathematics 2 Syllabus for Chapter 1000: Triple Integration and Applications of Multiple Integrals

  • Triple Integration Definition and Evaluation  
  • Application of Double Integrals to Compute Area  
  • Application of Double Integrals to Compute Mass  
  • Application of Double Integrals to Compute Volume  
  • Application of Triple Integral to Compute Volume  
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