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#1
January 22nd, 2016, 03:41 PM
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| University of Mumbai MSC Maths
I want to get admission in University of Mumbai in M.Sc Mathematics and for that I want to get the syllabus so can you provide me that as it is very urgent for me?
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#2
January 22nd, 2016, 04:22 PM
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| Re: University of Mumbai MSC Maths
As you want to get the syllabus of University of Mumbai of M.Sc Mathematics so here is the information of the same for you: Syllabus of University of Mumbai of M.Sc Mathematics: Semester 1: Algebra I: Linear Transformations Determinants Characteristic polynomial Inner product spaces, Bilinear forms Analysis I: Metric Spaces, Euclidean space IRn Continuous functions Differentiable functions Inverse function theorem, Implicit function theorem. Complex Analysis I: Power series Complex differentiability Analytic Functions Cauchy's theorem Discrete Mathematics: Number theory Advanced counting Pigeon-hole principle Boolean algebra, Graph Theory Set Theory and Logic: Introduction to logic Sets and functions Partial order Permutations Semester 2: Algebra II: Groups, group Homomorphisms Groups acting on sets Rings Divisibility in integral domains Topology: Topological spaces Connected topological spaces Compact topological spaces Compact metric spaces, Complete metric spaces Complex Analysis II: Cauchy's theorem Maximum Modulus and Open Mapping Theorem Singularities Residue calculus Differential Equations: Picard's Theorem Ordinary Differential Equations Sturm-Liouville Theory First Order Nonlinear Partial Differential Equation Elementary Probability Theory: Probability basics Probability measure Random variables Limit Theorems Semester 3: Algebra III: Groups Representation of finite groups Modules Modules over PID Analysis II: Riemann Integration Lebesgue Measure Lebesgue Integration Limit Theorems Differential Geometry: Geometry of IRn Curves Regular Surfaces Curvature Optional Courses: Optional Course I Optional Course II Optional Courses I and II will be any two of the following courses: 1. ALGEBRAIC TOPOLOGY- I 2. ADVANCED COMPLEX ANALYSIS 3. COMMUTATIVE ALGEBRA 4. NUMERICAL ANALYSIS-I 5. GRAPH THEORY-I 6. DESIGN THEORY-I 7. OPERATIONS RESEARCH 8. CODING THEORY Semester 4: Field Theory: Algebraic Extensions Galois Extensions Galois Theorem Applications Fourier Analysis: Fourier Series Hilbert Spaces Riesz Fisher Theorem Dirichlet Problem Functional Analysis: Complete Metric Space Normed Linear Spaces Bounded Linear Transformations Basic Theorems Optional Courses: Optional Course III Optional Course IV Optional Courses III and IV will be any two of the following: 1. DIFFERENTIAL TOPOLOGY 2. ALGEBRAIC TOPOLOGY-II 3. ALGEBRAIC NUMBER THEORY 4. NUMERICAL ANALYSIS-II 5. GRAPH THEORY-II 6. INTEGRAL TRANSFORM 7. NONLINEAR OPTIMIZATION 8. DESIGN THEORY-II 9. ADVANCED PROBABILITY THEORY For more detailed information I am uploading 2 PDF files which are free to download: Contact Details: University Of Mumbai 121, Mahatma Gandhi Rd, Kala Ghoda, Fort Kala Ghoda, Fort Mumbai, Maharashtra 400001 India Map Location: |