### LNMU B.sc part 1, 2 and 3 math syllabus and subsidiary | (2020-23)

Wednesday, 28 October 2020

exams
B.sc mathematics honours syllabus |

Here is the full syllabus of B.sc honours mathematics part 1, 2 and 3 respectively. these 1st, 2nd year and 3rd year bsc syllabus comes under the college of Lalit Narayan Mithila Universities. Basically this b.sc math honours syllabus is design to keep in mind of LNMU criteria. The pdf of this b.sc syllabus is also available in the following below of the post. You can simply click on download button to save pdf files.

B.sc math honours syllabus is in three part, b.sc first year, b.sc second year and b.sc third year. So first of all we discuss

**bsc math 1st year syllabu**s, then we discuss**bsc math 2nd year syllabus**and then we discuss**bsc math 3rd year syllabus**. But at last we also given the pdf link to download bsc math honours syllabus. So lets start with bsc math 1st year syllabus.## lnmu bsc math part 1 syllabus

So b.sc first year mathematics consists of three paper. Namely Paper 1, and Paper 2. Each paper consists 40 marks exam. Also each paper has five unites that means each questions carries 8 marks.

__Paper 1__In bsc Hons mathematics, 1st paper has twelve questions that is asked from four chapter. Namely

(1.) Set theory, (2.) Abstract algebra, (3.) Metrics, (4.) Theory of equations.

Note:- All the above 4 topics has each only three questions to be asked. For example only three questions to be asked from set theory, three from Abstract algebra, and three from Metrics and three from theory of equations. So that means the total questions are 12 but you have to answer only 6 out of them.

These are the only topics asked from all above 4 chapters.

**(1.) In set theory:-**partial and total order relation, countability, cardinality, Schoelder, Bernistein theorem, Cardinal and ordinal numbers and their arithmetic, Axioms choice and its various forms, Zorn's lemma well ordering theorem.

**(2.) In Abstract algebra:-**Definition of a group with examples and simple properties, subgroups, generations of group, cyclic groups, conct-decomposition, Lagrange's theorem and its consequences, Fermat's and Euler's theorem, Homomorphism and Isomorphism, Normal subgroups, Quotient groups, Fundamentals theorems of homomorphism, Permutation group, Even and odd permutation, The alternating group and Cayley's theorem, Cayle's theorem, Introduction on rings, Subrings, Integral domains and Fields, Characteristic of rings.

**(3.) Matrics:-**Symmetric, Skew-Symmetric, Hermitian and skew-Hermitian metrices, Elementary operations on metrices, Inverse of a matrix, Linear independence of row and column metrices, Rank of a matrix, Eigen values, Eigen vectors and the characteristic equations of a metrices to a system of linear (both homogenous and non-homogenous) equation. Theorems on consistency of a system of linear equations.

**(4.) Theory of Equations:-**General properties of polynomials and equations, Fundamental theorem of algebra, Descrate's rule of sing, Relation between roots and coefficients, Evaluation of symmetric functions of roots of cubic and biquadratic, Transformation of equations, Reciprocal equations, Transformation and cubic and biquadratic.

All these topics are asked in part 1 of bsc honours mathematics paper 1. Now we look on the topics that will be asked in part 1 paper 2 b.sc mathematics in lnmu.

__Paper 2__In bsc Hons mathematics, 2st paper has also twelve questions that is asked from three chapter. Namely

(1.) Analytical Geometry of two dimensions, (2.) Analytical Geometry of three dimensions, (3.) Higher Trigonometry.

Note:- All the above 3 topics has each only four questions to be asked. For example only four questions to be asked from Analytical Geometry of two dimensions, 4 questions from Analytical Geometry of three dimensions, and 4 from Higher Trigonometry. So that means the total questions are 12 but you have to answer only 6 out of them.

These are the only topics asked from all above 3 chapters.

**(1.) Analytical Geometry of two dimensions:-**General equation of 2nd degree, Tracing of conics, Systems of conics, Confocal conics, Polar equations of conics, Equation of chord, Tangent, Normal, Asymptote and Director circle,

**(2.) Analytical Geometry of three dimensions:-**Equation of plane and straight line, Coplanarity, Shortest distance, Volume of tetrahedron, Sphere radical plane, Tangent plane, Cone, Generating lines conditions for three mutually perpendicular generators central conicoids, Normal and Conguate dimeters of Ellipsoids and its properties.

**(3.) Higher Trigonometry:-**De-moivers theorems and its applications, Circular, Inverse Circular and Hyperbolic function, Logarithms of a complex quantity and expansion trigonometrical functions, Greogory series, Summation of series, Resolutions into factors.

Now we look the best book for b.sc honours mathematics part 1 for L.N. M. U.

## Bsc math part 1 subsidiary subject

__CHEMISTRY (SUB/GEN)__

One question is compulsory which is very short answer type question.

__Group A__

**(1.) Gaseous state:-**Equation of state, Postulates of kinetic theory of gas and kinetic equation of gas. RMS average and most probable velocity. Derivation from ideality. Vander Waal's constant, Ideal gas.

**(2.) Chemical Kinetics:-**Rate of reaction, Factor affecting rate of reaction or Molecularity and order of reaction. First and Second order reaction. Half life activation energy.

**(3.) Chemical Equation:-**Law of mass reaction, Equilibrium constant (Kp, Kc and Kx) Le-Chaterllier's Principle, Relationship Kp, Kc and Kx.

__Group B__**(1.) Structure of atom:-**Isotope, Isobar and Isotone, J.J Thomson and Mullican's oil drop method of determining the change of an electron. Rutherford's model. Bhor's and defect. Correction, Theory of Atomic spectra, Afbau Principle, Pauli exclusion principle, Quantum no. Hund's rule. Electronic configuration writing for atom and ions.

**(2.) Periodicity:-**Electronic layout of the P.T. Classification of the elements. Periodicity-Atomic radii, Ionic radii, Ionization potential and energy. Electron affinity. Electronegativity, modal periodic table, Naming of element having atomic no. more than one hundred. Merit and demerit of P.T.

**(3.) Chemical bounding:-**Ionic bond, Hydrogen Bond, Metallic bond, Fajan's rule, Valence bond theory, Hybridization and shape and structure of simple covalent mlecules and ions, VSERP theory.

**(4.) Chemistry of the element:-**Occurence metallurgy, General characteristic, general chemistry and important compounds of Ag, Au, Sn, Pb and B.

**General concept of Hybridization:-**Shape and structure of simple organic compounds and ions. Tetravalent of carbon fission and its kinds. Reaction and its types and reagents and types. General Idea of Inductive effect. Mesomeric effect and hyper conjugation.

**(2.) Alcohol:-**Classification, Nomenclature, Dihydric and Trihydric Alcohol- Glycol, Glycerol-general method of preparation, properties and uses. Their occurrence and isolation, Structure of Glycerol.

**(3.) Aldehydes, Ketone and carbocylic acid:-**General method of Synthesis. Properties and uses. Difference between Aldehyde and Ketone, Reactivity and acid characters of Aldehyde and Ketone, Strength of carboxylic acid, Preparation of acid derivatives.

**(4.) Amine and urea:-**Structure, Nomenclature effect due to substituent's classification and separation of amine mixture ( Primary, secondary and tertiary), Basic strength of amine method of synthesis, Properties and urea preparation. Properties and uses.

**Suggested books for b.sc honours mathematics part 1**

**(1.) Set Theory:- Dr. k.k Jha**

**(2.) Algebra:- Dr. k.k Jha**

**(3.) Theory of equation:- Bumside and pentton**

**(4.) Metrics:- Lalji Prasad**

**(5.) Analytical Geometry of two dimensions:- Ask with**

**(6.) Analytical Geometry of three dimensions:- J.T. Bell**

**(7.) Higher Trigonometry:- Das and Mukherjee**

## lnmu bsc math part 2 syllabus

In Lnmu b.sc part 2, the syllabus of mathematics honours is divided into two papers, paper 3 and paper 4. each paper has twelve questions to be set. Out of 12 questions only six has to be answered.

Here below are the topics comes in the paper 3 and paper 4 in part 2 b.sc mathematics.

__Paper 3__(1.) Differential calculus, (2.) Integral calculus

Now we look on the topics which comes in part 2 exam from two above chapters.

**(1.) Differential calculus:-**Definition of limit of a function, Basics properties of limits continuous functions and classification of discontinuous. Differentiability, Successive differentiation. Leibnitz's theorem, Maclaurin and Taylore series expansions, Partial differentiation Euler's theorem, Tangents and normal curvatures.

**(2.) Integral calculus:**- Integration of irrational algebraic Functions and transcendental functions, Reduction formulae, Definite integrals. Quadrature. Rectification. Volumes and surfaces of solids of revolution, continuity, Sequential continuity. Properties of continuous function. Uniform continuity, Chain rule of differentiability. Mean value theorem and their geometrical interpretations. Durboux's intermediate value theorem for derivatives. Taylor's theorem with various forms of remainings.

**(3.) Sequence and series:-**Definition of sequence, Theorem on limits of sequences, Bounded and monotonic sequence, Cauchy's convergence criterion, series of non-negative term, comparison tests, Ration test, Rabbe's test, Logarithmic test, Higher logarithmic test, Gauss test, Kummer test, Cauchy's condensation test, Demorgan Bertrand's test. Alternating series, Leibnitzs theorem Absolute and conditional convergance.

Here below are the pdf download of LNMU B.sc part 1, 2 and 3 math syllabus and subsidiary | (2020-23). you can download it in google drive. pdf of lnmu b.sc math syllabus for part 1, part 2 and part 3 with subsidiary subject are given below.

## lnmu bsc math part 3 syllabus pdf download

Here are the download link

## Lnmu B.sc part 1 mathematics syllabus pdf download

Here are the download link