Course Information & Syllabus
Semester I
Paper – I (COMPLEX NUMBERS AND ALGEBRA)
- UNIT – 1: ELEMENTARY FUNCTIONS OF COMPLEX VARIABLES
- UNIT – 2: MATRICES
- UNIT - 3 QUADRATIC FORMS AND CONGRUENCE OF MATRICES
- UNIT - 4: GROUPS
Paper – II (CALCULUS)
- UNIT – 1: SUCCESSIVE DIFFERENTATION
- UNIT - 2 : SERIES EXPANSIONS AND INDETERMINATE FORMS
- UNIT – 3: CURVATURE
- UNIT – 4: FUNCTIONS OF TWO VARIABLES
Semester II
Paper – III (GEOMETRY)
- UNIT – 1: CHANGE OF AXIS
- UNIT – 2: POLAR COORDINATES
- UNIT – 3: THE SPHERE
- UNIT– 4: CONE
Paper – IV (DIFFERENTIAL EQUATIONS)
- UNIT – 1: DIFFERETIAL EQUATIONS OF FIRST ORDER AND FIRST DEGREE
- UNIT – 2: LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
- UNIT – 3: EQUATIONS OF FIRST ORDER BUT NOT OF FIRST DEGREE
- UNIT – 4: CLAIRAUT’S EQUATION
Semester V (Compulsory Theory Papers)
Paper – IX Real Analysis
Paper – X Modern Algebra
Paper – XI Partial Differential Equations
Semester V Optional Theory Papers (Select Any one)
Paper – XII(A) Symbolic Logic & Graph Theory
Paper – XII(B) Special Theory of Relativity – I
Paper – XII(C) Differential Geometry – I
Paper – XII(D) Mathematical Modeling - I
Paper – XII(E) Applications of Mathematics in Finance
Paper – XII(F) Mechanics – I
Semester VI (Compulsory Theory Papers)
Paper – XIII Metric Spaces
Paper – XIV Linear Algebra
Paper – XV Complex Analysis
Semester VI Optional Theory Papers (Select Any one)
Paper – XVI(A) Algorithms & Boolean Algebra
Paper – XVI (B) Special Theory of Relativity – II
Paper – XVI (C) Differential Geometry – II
Paper – XVI (D) Mathematical Modeling - II
Paper – XVI (E) Applications of Mathematics in Insurance
Paper – XVI (F) Mechanics – II 