UG Semester 1 MJC Mathematics Syllabus: All the universities of Bihar are running a 4-year graduation, Choice Based Credit System (CBCS) or in common language it can also be called semester system which is being run under NEP 2020. Lalit Narayan Mithila University (LNMU) Darbhanga, Patna University, Purnia University, Magadh University, Patliputra University, Bhagalpur University,VKSU Ara, BRABU Muzaffarpur, JPU, etc. 1st semester examination is being conducted on time in many universities and in many it is also late. The question paper pattern and syllabus of Major Course (MJC) subject is same for all.
CBCS Graduation 1st Semester will have Major (MJC), Minor (MIC), MDC/IDC. AEC, SEC, VAC papers. In this article, you will find the syllabus of MJC-1 Mathematics: Algebra. Sometimes Major Subject is also Written/Searched as Honours.
Note : This Syllabus is for both Science and Arts Students.
In this Article you will get the following syllabus :
- Semester 1: Major Course (MJC) -1 Mathematics Syllabus
UG Syllabus Semester-I Major Course (MJC)- Mathematics (Science/Arts)
MJC-1 Paper Name: ALGEBRA
- Polar representation of complex numbers, De -Moivre's theorem and its applications, Logarithms of complex quantities, Hyperbolic functions, Gregory series, Summation of series, Resolution into factors
- Cartesian product of sets, Equivalence relations, partition, partial and total order relation Functions, Composition of functions, Invertible functions, Cardinality of a set, Countable and Uncountable sets, Cantor's theorem,
- Well-ordering property of positive integers, Division algorithm, Euclidean algorithm, Fundamental Theorem of Arithmetic, Modular arithmetic and basic properties of congruences, Principle of mathematical induction.
- Matrices, Operation on Matrices, Kinds of matrices, Transpose, symmetric & skew symmetric Matrices, Hermitian, skew Hermitian Matrices, Adjoint and Inverse of a matrix, orthogonal matrix, Solution of a system of linear equations by matrix methods. Echelon forms, Rank of a matrix
- Fundamental theorem of algebra, Relation between roots and coefficients of a polynomial equation, Symmetric Function of roots, Transformation of equation, Descartes rule of signs, Solution of Cubic equation (Cardon's method) and bi quadratic equation (Euler's method).
- 1. Dickson, Leonard Eugene (1922). First Course in The Theory of Equations. John Wiley & Sons, Inc. New York.
- 2. Kolman, Bernard, & Hill, David R. (2001). Introductory Linear Algebra with Applications (7"hed.). Pearson Education, Delhi. First Indian Reprint 2003.
- Andrilli, Stephen, & Hecker, David (2016). Elementary Linear Algebra (5"hed.). Academic Press, Elsevier India Private Limited,
- Burton, David M. (2007). Elementary Number Theory (7hed.). Tata Mc-Graw Hill Edition, Indian Reprint.
- K.K.Jha,Advanced Set Theory.Nav BharatPrakashan Patna
- M,L.Khanna, Theory of Equations, Jai Prakash Nath& Co. Merrut (U.P.)
- Lalji Prasad, Matrices, Paramount Publications Patna
- Dasgupta, Trigonometry, Bharti Bhawan Patna,
Question Paper Pattern for Final exam or End Semester exam or External Exam (MJC, MIC, MDC/IDC)
- *Part A (10 X 2 = 20 marks):- Compulsory - consisting of ten objective/multiple choice type (MCQs) - each carrying two marks
- *Part B (4 X 5 = 20 Marks):- Short answer type - Four questions to be answered out of six questions each carrying five marks
- *Part C (10 x 3 = 30 Marks) :- Long answer type - Three questions to be answered out of five questions - each carrying ten marks
, All Bihar Universities @lnmunotes.in){kind=link}
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