Abdus Salam School of
Mathematical Sciences
GC University, Lahore.
   
 
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Course Details (M.Phil / Ph.D)
 
Courses for 1st year Students
 
Code
Course
 
Credit Hour(s)
   
MATH – 7101
Linear Algebra  
4
MATH – 7102
Algebra I  
4
MATH – 7103
Algebra II  
4
MATH – 7104
Geometry I  
4
MATH – 7105
Geometry II  
4
MATH – 7106
Real Analysis I  
4
MATH – 7107
Real Analysis II  
4
MATH – 7108
Complex Analysis  
4
MATH – 7109
Number Theory  
3
MATH – 7110
Differential Equations  
4
   
   
Courses for 2nd year Students
     
Code
Course
 
Credit Hour(s)
   
MATH – 8101
Homological Algebra  
4
MATH – 8102
Partial Differential Equation  
4
MATH – 8103
Probability Theory  
4
MATH – 8104
Mathematical Aspects of Theoretical Physics  
3
MATH – 8105
Numerical Analysis I  
3
MATH – 8106
Functional Analysis  
4
MATH – 8107
Commutative Algebra I  
3
MATH – 8108
Computational Algebra I  
3
MATH – 8109
Measure Theory  
3
MATH – 8110
Multivariable Complex Analysis  
3
MATH – 8111
Commutative Algebra II  
3
MATH – 8112
Computational Algebra II  
3
MATH – 8113
Calculus of Variations  
2
MATH – 8114
Algebraic System Theory  
4
MATH – 8115
Lie Groups and Algebras  
4
MATH – 8116
Riemann Surfaces  
2
MATH – 8117
Combinatorics  
4
MATH – 8118
Graph Theory  
4
MATH – 8119
Stochastic Processes  
4
MATH – 8120
Algebraic Number Theory  
3
MATH – 8121
Algebraic Topology  
4
MATH – 8122
Algebraic Geometry  
3
MATH – 8123
Algebraic Curves  
3
MATH – 8124
Application of Group Theory to Physics  
3
MATH – 8125
Chaotic Dynamical Systems  
3
MATH – 8126
Classes of Rings and Modules  
3
MATH – 8127
Convex Analysis & Nonlinear Optimization  
3
MATH – 8128
Differential Geometry  
3
MATH – 8129
Differential Topology  
4
MATH – 8130
Field & Galois Theory  
3
MATH – 8131
Financial Mathematics  
4
MATH – 8132
Fluid Mechanics  
4
MATH – 8133
Introduction to Valuation Theory  
3
MATH – 8134
Non-Linear Dynamics & Control Theory  
3
MATH – 8135
Analytic Number Theory and Elliptic Curve  
3
MATH – 8136
Convex Sets  
2
MATH – 8137
Differential Inclusions and Fuzzy Differential Equations  
4
MATH – 8138
Topics in Field Theory  
3
MATH – 8139
Interacting Stochastic Systems  
3
MATH – 8140
Graph Labelings  
3
MATH – 8141
Interpolation Theory and Applications  
4
MATH – 8142
Special Topics in Analysis  
3
MATH – 8143
Statistical Models & Simulation I  
3
MATH – 8144
Statistical Models & Simulation II  
3
MATH – 8145
Distribution Theory  
3
MATH – 8146
Numerical Analysis II  
2
MATH – 8147
Approximation in the Real and Complex Domain  
4
MATH – 8148
Combinatorial Geometry  
3
MATH – 8149
Absolute Summing Operators (special course)  
3
MATH – 8150
Advanced Quantum Statistical Mechanics  
3
MATH – 8151
Special Topics in Complex Analysis  
4
MATH – 8152
Gorenstein Rings  
3
MATH – 8153
Convex Analysis  
3
MATH – 8154
Local Cohomology  
3
MATH – 8155
Multiplicative Ideal Theory  
3
MATH – 8156
Applied Control Theory  
3
MATH – 8157
Fuzzy Sets & Fuzzy Differential Equation  
2
     
Note:

Contents and number of credits for optional course may vary slightly from year to year.

At the end of each course, a final exam is given. In case a student fails the final exam, the teacher may give a retake exam.

The passing score for an exam is 70 %. However a student must maintain an overall average of more than 70% score over the year.

All the core courses in Algebra, Geometry and Analysis are compulsory for every student.