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26th March 2016, 12:55 PM
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Join Date: May 2012
Re: MDU BSC Math HONS Syllabus

Maharshi Dayanand University is a university in Rohtak, Haryana, India. It is accredited with grade'A' by NAAC.

As you asking for the syllabus of the BSc Math (hons) of the MDU Rohtak university the syllabus is as follow:

Subjects :

I Semester
Algebra
Calculus
Solid Geometry
Discrete Mathematics-I
Opt(i) : Descriptive
Statistics
Opt(ii) : Chemistry -I
Opt(i) : Computer
Fundamentals and MS OFFICE
Opt(ii) : Physics -I
Practicals/
Computational workased on Paper
BHM115Practicals/
Computational work
based on Paper
BHM116 English-I


II Semester
Number Theory andTrigonometry
Ordinary DifferentialEquations
Vector Calculus
Discrete Mathematics-II
Opt(i) : Regression Analysis
and Probability
Opt(ii) : Chemistry - II
Opt(i) : Programming in
Visual Basic
Opt(ii) : Physics - II
Practicals / Computational work
based on Paper BHM 125
Practicals / Computational work
based on Paper BHM 126
English - II

BSC Math Hons Syllabus MDU Rohtak
Algebra
Note: The question paper will consist of five sections. Each of the first four sections(IIV)
will contain two questions and the students shall be asked to attempt one question
from each section. Section-V will contain six short answer type questions without any
internal choice covering the entire syllabus and shall be compulsory.
Section – I
Symmetric, Skew-symmetric, Hermitian and skew Hermitian matrices. Elementary
Operations on matrices. Rank of a matrices. Inverse of a matrix. Linear dependence and
independence of rows and columns of matrices. Row rank and column rank of a matrix.
Eigenvalues, eigenvectors and the characteristic equation of a matrix. Minimal
polynomial of a matrix. Cayley Hamilton theorem and its use in finding the inverse of a
matrix.
Section – II
Applications of matrices to a system of linear (both homogeneous and non–
homogeneous) equations. Theorems on consistency of a system of linear equations.
Unitary and Orthogonal Matrices, Bilinear and Quadratic forms.
Section – III
Relations between the roots and coefficients of general polynomial equation in one
variable. Solutions of polynomial equations having conditions on roots. Common roots
and multiple roots. Transformation of equations.
Section – IV
Nature of the roots of an equation Descarte’s rule of signs. Solutions of cubic equations
(Cardon’s method). Biquadratic equations and their solutions.
Books Recommended :
1. H.S. Hall and S.R. Knight : Higher Algebra, H.M. Publications 1994.
2. Shanti Narayan : A Text Books of Matrices.
3. Chandrika Prasad : Text Book on Algebra and Theory of Equations.
Pothishala Private Ltd., Allahabad.
Calculus
Note: The question paper will consist of five sections. Each of the first four sections (IIV)
will contain two questions and the students shall be asked to attempt one question
from each section. Section-V will contain six short answer type questions without any
internal choice covering the entire syllabus and shall be compulsory.
Section – I
Definition of the limit of a function. Basic properties of limits, Continuous
functions and classification of discontinuities. Differentiability. Successive
differentiation. Leibnitz theorem. Maclaurin and Taylor series expansions.
Section – II
Asymptotes in Cartesian coordinates, intersection of curve and its asymptotes,
asymptotes in polar coordinates. Curvature, radius of curvature for Cartesian curves,
parametric curves, polar curves. Newton’s method. Radius of curvature for pedal curves.
Tangential polar equations. Centre of curvature. Circle of curvature. Chord of curvature,
evolutes. Tests for concavity and convexity. Points of inflexion. Multiple points. Cusps,
nodes & conjugate points. Type of cusps.
Section – III
Tracing of curves in Cartesian, parametric and polar co-ordinates. Reduction formulae.
Rectification, intrinsic equations of curve.
Section – IV
Quardrature (area)Sectorial area. Area bounded by closed curves. Volumes and surfaces
of solids of revolution. Theorems of Pappu’s and Guilden.
Books Recommended :
1. Differential and Integral Calculus : Shanti Narayan.
2. Murray R. Spiegel : Theory and Problems of Advanced Calculus. Schaun’s
Outline series. Schaum Publishing Co., New York.
3. N. Piskunov : Differential and integral Calculus. Peace Publishers, Moscow.
4. Gorakh Prasad : Differential Calculus. Pothishasla Pvt. Ltd., Allahabad.
5. Gorakh Prasad : Integral Calculus. Pothishala Pvt. Ltd., Allahabad.
Solid Geometry
Note: The question paper will consist of five sections. Each of the first four sections (IIV)
will contain two questions and the students shall be asked to attempt one question
from each section. Section-V will contain six short answer type questions without any
internal choice covering the entire syllabus and shall be compulsory.
Section – I
General equation of second degree. Tracing of conics. Tangent at any point to the conic,
chord of contact, pole of line to the conic, director circle of conic. System of conics.
Confocal conics. Polar equation of a conic, tangent and normal to the conic.
Section – II
Sphere: Plane section of a sphere. Sphere through a given circle. Intersection of two
spheres, radical plane of two spheres. Co-oxal system of spheres
Cones. Right circular cone, enveloping cone and reciprocal cone.
Cylinder: Right circular cylinder and enveloping cylinder.
Section – III
Central Conicoids: Equation of tangent plane. Director sphere. Normal to the conicoids.
Polar plane of a point. Enveloping cone of a coincoid. Enveloping cylinder of a coincoid.
Section – IV
Paraboloids: Circular section, Plane sections of conicoids.
Generating lines. Confocal conicoid. Reduction of second degree equations.
Books Recommended:
1. R.J.T. Bill, Elementary Treatise on Coordinary Geometry of Three Dimensions,
MacMillan India Ltd. 1994.
2. P.K. Jain and Khalil Ahmad : A Textbook of Analytical Geometry of Three Dimensions,
Wiley Eastern Ltd. 1999.
Discrete Mathematics-I
Note: The question paper will consist of five sections. Each of the first four sections(IIV)
will contain two questions and the students shall be asked to attempt one question
from each section. Section-V will contain six short answer type questions without any
internal choice covering the entire syllabus and shall be compulsory.
Section – I
Sets, principle of inclusion and exclusion, relations, equivalence relations and
partition, denumerable sets, partial order relations, Mathematical Induction, Pigeon Hole
Principle and its applications.
Section – II
Propositions, logical operations, logical equivalence, conditional propositions,
Tautologies and contradictions. Quantifier, Predicates and Validity.
Section – III
Permutations and combinations, probability, basic theory of Graphs and rings.
Section -IV
Discrete numeric functions, Generating functions, recurrence relations with
constant coefficients. Homogeneous solution, particular relations, total rotation, Solution
of recurrence relation by the method Generating function.
Books Recommended :
1. J.P. Tremblay & R. Manohar, Discrete Mathematical Structures with Applications
to Computer Science, McGraw-Hill Book Co., 1997.
2. J.L. Gersting, Mathematical Structures for Computer Science, (3rd edition),
Computer Science Press, New York.
3. Seymour Lipschutz, Finite Mathematics (International edition 1983), McGraw-
Hill Book Company, New York.
4. C.L. Liu, Elements of Discrete Mathematics, McGraw-Hilll Book Co.
5. Babu Ram, Discrete Mathematics, Vinayak Publishers and Distributors, Delhi,
2004.

for more details you may contact to the MDU Rohtak the contact details are as follow :
Contact details :

MDU Rohtak
Address: Delhi Road, University Secretariat, Rohtak, Haryana 124001
Phone: 01262 393 59

Rest of the syllabus you may found from the file given below :
Attached Files
File Type: pdf BSC Math Hons Syllabus MDU Rohtak.pdf (251.8 KB, 481 views)
  #3  
17th June 2021, 09:32 AM
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Re: MDU BSC Math HONS Syllabus

fins the nth derivative of log(ax+b)


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