Integrated Programme in Mathematics
| Year/Semester | Section | Section |
| 1st yr – 1st Sem | Major | Minor |
| 2nd yr – 3rd Sem | Major – Sec (Th*) | Learn More |
1st Year 1st Semester Integrated Minor
| Year | 1ST YEAR |
| Class | SEMESTER-I |
| Paper Type | Minor |
| Paper Code | MATMIN101-4 |
| Topics | Foundation of Mathematics |
| Credit | 4 |
| Marks | Internal: 30 Theory:70 |
Syllabus of the Course
Integrated in Mathematics 1st Semester, Minor, Foundation of Mathematics.
| Unit-1: Complex Numbers | Learn More |
| Unit-2: Matrices | |
| Unit-3: Theory of Equations |
Unit-1: Complex Numbers
Complex numbers as ordered pairs of real numbers, polar form of complex numbers, geometrical representation, modulus, argument and their properties, complex equations of straight line and circle. De Moivre’s theorem, expansion of \(\cos x\) and \(\sin x\) in positive integral powers of x, the logarithm of a complex number, Euler’s expansion of cosine and sine, exponential and trigonometric functions of a complex variable, hyperbolic functions, inverse functions, and Gregory’s series.
Contact Hour- 25; Marks-32
Unit-2: Matrices
Basic concepts of matrices, Types of matrices, Transpose, trace and determinant of a matrix, Elementary operations, Rank and inverse of a matrix, Row Reduced echelon form, Normal form of a matrix, Solutions of a system of linear equations, Symmetric, skew-symmetric and orthogonal matrices, Eigenvalues, eigenvectors, Diagonalization of matrices, Cayley-Hamilton theorem.
Contact Hour- 12; Marks-22
Unit-3: Theory of Equations
Relation between the roots and coefficients of a general polynomial equation in one variable, transformation of equations, Descartes’ rule of signs, Solutions of reciprocal and binomial equations, and solution of cubic equation by Cardon’s method.
Contact Hour- 8; Marks-16
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Results
BU DMS Integrated Minor – 1st Sessional Exam 2025
Result for 1st Sessional Examination 2025, Paper Title: Foundation of Mathematics, Paper code: MATMINI101-4 (MINOR)
| SL. No | Enrolment No. | Marks |
| 1 | 2555016139 | 08 |
| 2 | 2555008625 | 09 |
| 3 | 2555016136 | 03+01 = 04 |
| 4 | 2555012269 | 03+01 = 04 |
| 5 | 2555016243 | 09 |
| 6 | 2555011519 | 06 |
| 7 | 2555011517 | 07 |
| 8 | 2555016184 | 08 |
| 9 | 2555005402 | 06 |
| 10 | 2555011782 | 08 |
| 11 | 2555018653 | 07 |
| 12 | 2555011654 | 04 |
| 13 | 2555011518 | 01+03 = 04 |
