Advertisement Remove all ads

Applied Mathematics 1 Semester 1 (FE First Year) BE Computer Engineering University of Mumbai Topics and Syllabus

Advertisement Remove all ads

University of Mumbai Syllabus For Semester 1 (FE First Year) Applied Mathematics 1: Knowing the Syllabus is very important for the students of Semester 1 (FE First Year). Shaalaa has also provided a list of topics that every student needs to understand.

The University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the Semester 1 (FE First Year) Applied Mathematics 1 Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for Semester 1 (FE First Year) Applied Mathematics 1 in addition to this.

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

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Revised Syllabus

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 and their Unit wise marks distribution

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Course Structure 2021-2022 With Marking Scheme

#Unit/TopicWeightage
C  Complex Numbers Old 
101  Expansion of Sinn θ,Cosn θ in Terms of Sines and Cosines Of Multiples Of θ And Expansion of Sinnθ, Cosnθ In Powers of Sinθ, Cosθ 
102  Separation of Real and Imaginary Parts of All Types of Functions 
103  Circular Functions of Complex Number and Hyperbolic Functions.Inverse Circular and Inverse Hyperbolic Functions. Logarithmic Functions. 
104  Powers and Roots of Exponential and Trigonometric Functions 
CC  Matrices and Numerical Methods Old 
201  Solution of System Of Linear Algebraic Equations 
202  Types of Matrices and Rank of a Matrix 
CCC  Differential Calculus Old 
301  Euler’S Theorem on Homogeneous Functions with Two and Three Independent Variables (With Proof) 
302  Partial Differentiation 
303  Successive Differentiation 
CD  Application of Partial Differentiation, Expansion of Functions , Indeterminate Forms and Curve Fitting Old 
401  Fitting of Curves by Least Square Method for Linear, Parabolic, And Exponential 
402  Maxima and Minima of a Function of Two Independent Variables 
403  Taylor’S Theorem and Taylor’S Series, Maclaurin’S Series 
D  Complex Numbers 
DC  Logarithm of Complex Numbers , Successive Differentiation 
601  Successive Differentiation 
602  Logarithm of Complex Numbers 
DCC  Matrices 
DCCC  Partial Differentiation 
CM  Applications of Partial Differentiation , Expansion of Functions 
M  Indeterminate Forms, Numerical Solutions of Transcendental Equations and System of Linear Equations 
 Total -
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Syllabus

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Syllabus for Complex Numbers Old

101 Expansion of Sinn θ,Cosn θ in Terms of Sines and Cosines Of Multiples Of θ And Expansion of Sinnθ, Cosnθ In Powers of Sinθ, Cosθ
102 Separation of Real and Imaginary Parts of All Types of Functions
103 Circular Functions of Complex Number and Hyperbolic Functions.Inverse Circular and Inverse Hyperbolic Functions. Logarithmic Functions.
104 Powers and Roots of Exponential and Trigonometric Functions

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Syllabus for Matrices and Numerical Methods Old

201 Solution of System Of Linear Algebraic Equations

Solution of system of linear algebraic equations, by

  • Gauss Elimination Method (Review)
  • Guass Jordan Method
  • Crouts Method (LU)
  • Gauss Seidal Method    and
  • Jacobi iteration (Scilab programming for above methods is to be taught  during lecture hours)
202 Types of Matrices and Rank of a Matrix
  • Types of Matrices (symmetric, skew‐ symmetric, Hermitian, Skew Hermitian,Unitary, Orthogonal Matrices and properties of Matrices).
  • Rank of a Matrix using Echelon forms, reduction to normal form, PAQ forms, system of homogeneous and non –homogeneous equations, their consistency and solutions. Linear dependent and independent vectors.  

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Syllabus for Differential Calculus Old

301 Euler’S Theorem on Homogeneous Functions with Two and Three Independent Variables (With Proof)
  • Euler’S Theorem on Homogeneous Functions with Two and Three Independent Variables (With Proof).
  • Deductions from Euler’S Theorem
302 Partial Differentiation
  • Partial derivatives of first and higher order, total differentials, differentiation of composite and implicit functions.
303 Successive Differentiation
  • nth derivative of standard functions.
  • Leibnitz’s Thoerem (without proof) and problems.

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Syllabus for Application of Partial Differentiation, Expansion of Functions , Indeterminate Forms and Curve Fitting Old

401 Fitting of Curves by Least Square Method for Linear, Parabolic, And Exponential
  • Regression Analysis (to be introduced for estimation only) (Scilab programming related to fitting of curves is to be taught during lecture hours)
402 Maxima and Minima of a Function of Two Independent Variables
  • Lagrange’s method of undetermined multipliers with one constraint.
  • Jacobian, Jacobian of implicit function.
  • Partial derivative of implicit function using jacobian.
403 Taylor’S Theorem and Taylor’S Series, Maclaurin’S Series
  • Taylor’s Theorem (Statement only) and Taylor’s series, Maclaurin’s series (Statement only).
  • Expansion of ex , sinx, cosx, tanx, sinhx, coshx, tanhx, log(1+x), sin‐1 x, cos1 x, Binomial series.
  • Indeterminate forms, L‐ Hospital Rule, problems involving series also.

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Syllabus for Complex Numbers

Pre‐requisite: Review of Complex Numbers‐Algebra of Complex Number, Different
representations of a Complex number and other definitions, D’Moivre’s Theorem.
1.1.Powers and Roots of Exponential and Trigonometric Functions.
1.2. Expansion of sin nθ, cos nθ in terms of sines and cosines of multiples of θ and
Expansion of sinnθ, cosnθ in powers of sinθ, cosθ
1.3.Circular functions of a complex number and Hyperbolic functions. Inverse Circular and
Inverse Hyperbolic functions. Separation of real and imaginary parts of all types
of Functions.

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Syllabus for Logarithm of Complex Numbers , Successive Differentiation

University of Mumbai Semester 1 (FE First Year) Applied Mathematics 1 Syllabus for Indeterminate Forms, Numerical Solutions of Transcendental Equations and System of Linear Equations

Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×