UG Semester 1 MIC 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 MINOR Course (MIC) subject is same for all.
CBCS Graduation 1st Semester will have Minor (MIC), Minor (MIC), MDC/IDC. AEC, SEC, VAC papers. In this article, you will find the syllabus of MIC-1 Mathematics: Algebra. Sometimes Minor Subject is also Written/Searched as Subsidiary.
In this Article you will get the following syllabus :
- Semester 1: Minor Course (MIC) -1 Mathematics Syllabus
UG Syllabus Semester-I Minor Course (MIC)- Mathematics
MIC-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,.
- Cartesian product of sets, Equivalence relations, Functions, Composition of functions, Invertible functions, Partial and Total order relation, Countable and Uncountable sets,
- Matrices, Operation on Matrices, Kinds of matrices, Transpose, symmetric & skew symmetric matrices, Hermitian and skew Hermitian matrices Adjoint and Inverse of a matrix Solution of a system of linear equations by matrix methods
- Fundamental theorem_of algebra, Relation between roots and coefficients of a polynomial equation, Evaluation of symmetric functions of roots , Transformation of equation, Solution of Cubic equation (Cardon's method).
- Dickson, Leonard Eugene (1922). First Course in The Theory of Equations. John Wiley & Sons, Inc. New York.
- Lay, David C., Lay, Steven R., & McDonald, Judi J. (2016). Linear Algebra and its Applications (S"ed.). Pearson Education
- Andrilli, Stephen, & Hecker, David (2016). Elementary Linear Algebra (5"ed.). 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 Bharat Publication, Patna
- M.LKhanna, 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
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