MIC-01: Algebra (03 credits) (Lecture : 30)
Course Contents:
Unit 1 (Lecture: 08)
Polar representation of complex numbers, De-Moivre’s theorem and its applications, Logarithms of complex quantities, Hyperbolic functions, Gregory series, Summation of series.
Unit 2 (Lecture: 07)
Cartesian product of sets, Equivalence relations, Functions, Composition of functions, Invertible functions, Partial and Total order relation, Countable and Uncountable sets.
Unit 3 (Lecture: 08)
Matrices, Operation on Matrices, Transpose, symmetric & skew symmetric Matrices, Hermitian, skew Hermitian Matrices, Adjoint and Inverse of a matrix, Solution of a system of linear equations by matrix methods.
Unit 4 (Lecture: 07)
Fundamental theorem of algebra, Relation between roots and coefficients of a polynomial equation, Evaluation of symmetric function of roots, Transformation of equation, Solution of Cubic equation (Cardon’s method).
MIC-1 (PRACTICAL)-2 Credit
The CIA examination in Practical should be just as Mock test and it must be on the Pattern of proper 3hrs End-semester Examination.
| Sl. No. | Component | CIA | End-Semester |
| 1. | Experiment Allotted | 15 | 45 |
| 2. | Continuous Practical Record | 05 | 10 |
| 3. | Viva-Voce | 10 | 15 |
| 30 | 70 |
Total = 100 Marks
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धन्यवाद
Ranjeet Kumar Pathak
( B.Sc Physics V.K.S. University )