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Lec 31: Composition of Generating Function, by Sajith Gopalan

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Lec 32: Greeks, Put-Call Parity, Change of Measure, by N. Selvaraju

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Lec 32: Principle of Inclusion Exclusion, by Sajith Gopalan

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Lec 33: Girsanov Theorem, Risk-Neutral Pricing of Derivatives, BSM Formula, by N. Selvaraju

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Lec 33: Rook Placement Problem, by Sajith Gopalan

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Lec 34: MRT and Hedging, Multidimensional Girsanov and MRT, by N. Selvaraju

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Lec 34: Solution of Congruences, by Sajith Gopalan

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Lec 35: Chinese Remainder Theorem, by Sajith Gopalan

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Lec 35: Multidimensional BSM Model, Fundamental Theorems of Asset Pricing, by N. Selvaraju

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Lec 36: BSM Model with Dividend-Paying Stocks, by N. Selvaraju

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Lec 36: Totient; Congruences; Floor and Ceiling Functions, by Sajith Gopalan

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Lec 37: Introduction to Groups, by Sajith Gopalan

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Lec 38: Modular Arithmetic and Groups, by Sajith Gopalan

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Lec 39: Dihedral Groups, Isomorhphisms, by Sajith Gopalan

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Lec 4: First Order Logic: Introduction (Cont’d), by Sajith Gopalan

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Lec 4: Newton Raphson Method, by Saurabh Basu

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Lec 40: Cyclic Groups, Direct Products, Subgroups, by Sajith Gopalan

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Lec 41: Cosets, Lagrange’s Theorem, by Sajith Gopalan

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Lec 42: Rings and Fields, by Sajith Gopalan

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Lec 43: Construction of Finite Fields, by Sajith Gopalan

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Lec 5: Newton Raphson Method (Example) , Curve Fitting and Interpolation of Data, by Saurabh Basu

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Lec 5: Proof System for Propcal, by Sajith Gopalan

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Lec 6: First Order Logic: Wffs, Interpretations, Models, by Sajith Gopalan

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Lec 7: Soundness and Completeness of the first Order Proof System, by Sajith Gopalan

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Lec 8: Sets, Relations, Functions, by Sajith Gopalan

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Lec 9: Functions, Embedding of the Theories of Naturals Numbers and Integers in Set Theory, by Sajith Gopalan

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Lecture 01 : Introduction to R Software, by Shalabh

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Lecture 01: Rolle’S Theorem, by Jitendra Kumar

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Lecture 01: Set Theory, by Prof.Sourav Mukhopadhyay

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Lecture 01: Strum-Liouville Problems, Linear BVP, by Somnath Bhattacharyya

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Lecture 01: Vector Functions, by Jitendra Kumar

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Lecture 02 : Basics and R as a Calculator, by Shalabh

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Lecture 02: Mean Value Theorems, by Jitendra Kumar

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Lecture 02: Set Operations, by Prof.Sourav Mukhopadhyay

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Lecture 02: Strum-Liouville Problems, Linear BVP (Contd.), by Somnath Bhattacharyya

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Lecture 02: Vector and Scalar Fields, by Jitendra Kumar

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Lecture 03 : Calculations with Data Vectors, by Shalabh

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Lecture 03: Divergence and Curl of a Vector Field, by Jitendra Kumar

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Lecture 03: Set Operations (contd.), by Prof.Sourav Mukhopadhyay

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Lecture 03: Solution of BVPs by Eigen Function Expansion, by Somnath Bhattacharyya

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Lecture 03:Indeterminate Forms (Part ‘1), by Jitendra Kumar

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Lecture 04 : Built-In Commands and Missing Data Handling, by Shalabh

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Lecture 04: Indeterminate Forms (Part ‘2), by Jitendra Kumar

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Lecture 04: Line Integrals, by Jitendra Kumar

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Lecture 04: Set of Sets, by Prof.Sourav Mukhopadhyay

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Lecture 04: Solution of BVPs by Eigen Function Expansion (Contd.), by Somnath Bhattacharyya

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Lecture 05 : Operations with Matrices, by Shalabh

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Lecture 05: Binary Relation, by Prof.Sourav Mukhopadhyay

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Lecture 05: Conservative Vector Field, by Jitendra Kumar

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Lecture 05: Solutions of Linear Parabolic, Hyperbolic and Elliptic PDEs with Finite Domain by Eigen Function Expansions, by Somnath Bhattacharyya

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