|   | CATEGORY | COURSE NAME | SYLLABUS | 
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   I | DSC | FOUNDATIONS OF MATHEMATICS |  | 
| DSC | DIFFERENTIATION, SEQUENCES AND SERIES |  | 
| DSC | MATRICES AND LINEAR EQUATIONS |  
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| MDC | NUMERICAL ABILITY – I |  | 
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| SE
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   II   | DSC | THEORY OF EQUATIONS, DIFFERENTIAL CALCULUS AND GEOMETRY
 |  | 
| DSC | INTEGRATION AND MULTIVARIATE CALCULUS |  | 
| DSC | INTEGRATION AND APPLICATION OF DIFFERENTIATION |  | 
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   III   | DSC | INTEGRAL CALCULUS AND FOUNDATIONS OF VECTOR CALCULUS |  | 
| DSC | NUMERICAL ANALYSIS |  | 
| DSC | APPLICATION OF INTEGRATION, AND VECTOR CALCULUS
 |  | 
| DSC | APPLICATION OF INTEGRATION, SPECIAL FUNCTIONS AND FOURIER SERIES
 |  | 
| DSE | PROGRAMMING WITH LATEX AND PYTHON |  | 
|   | DSE | NUMERICAL ANALYSIS |  | 
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| SE
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   IV   | DSC | INTRODUCTION TO REAL ANALYSIS AND MULTIPLE INTEGRALS |  | 
| DSC | PARTIAL DIFFERENTIATION AND INTRODUCTION TO ABSTRACT ALGEBRA
 |  | 
| DSE | INTRODUCTION TO OPERATIONS RESEARCH |  | 
| SEC | NUMERICAL METHODS |  | 
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| SE
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   V   | DSC | DIFFERENTIAL EQUATIONS AND VECTOR CALCULUS |  | 
| DSC | FUNDAMENTALS OF REAL ANALYSIS – I |  | 
| DSC | ABSTRACT ALGEBRA |  | 
| DSE | INTERMEDIATE GRAPH THEORY |  | 
| DSE | SPECIAL FUNCTIONS |  | 
| SEC | PROGRAMMING WITH PYTHON |  | 
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| SE
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   VI   | DSC | REAL ANALYSIS – II |  | 
| DSC | COMPLEX ANALYSIS I |  | 
| DSC | LINEAR ALGEBRA |  | 
| DSE | FOUNDATIONS OF COMPUTATIONAL MATHEMATICS WITH SAGEMATH
 |  | 
| DSE | INTEGRAL TRANSFORMS |  | 
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   VII   | DSC | TOPOLOGY |  | 
| DSC | COMPLEX ANALYSIS – II |  | 
| DSE | FUNCTIONAL ANALYSIS |  | 
| DSE | ADVANCED LINEAR ALGEBRA |  | 
| SEC | PROGRAMMING WITH R |  |