- Calculus of Several Variables
*The Geometry of Planes and Curves**Space Curves - an Introduction to Coordinates in 3D*[ Saarth Deshpande ]*Equations of Planes and Lines*[ Saarth Deshpande ]*General Parametric Curves*[ Saarth Deshpande ]*Velocity and Differentiability*[ Saarth Deshpande ]*Arc Length and Curvature*[ Saarth Deshpande ]*The TNB Frame and Serretâ€“Frenet Formulae*[ Saarth Deshpande ]*Multivariable Functions and Partial Derivatives**Scalar Functions*[ Nishan Poojary ]*Multivariable Functions*[ Nishan Poojary ]*Multivariable Limits and Continuity*[ Nishan Poojary ]*Partial Derivatives*[ Nishan Poojary ]*Directional Derivatives*[ Nishan Poojary ]*Approximations and Optimization**Critical Points*[ Vaishnavi Bisht ]*The Second Derivative Test*[ Vaishnavi Bisht ]*Tangent Plane Approximations*[ Vaishnavi Bisht ]*Total Differential*[ Vaishnavi Bisht ]*Lagrange Multipliers*[ Vaishnavi Bisht ]*Integrals of Multivariable Functions**Double Integrals*[ Somnath Pandit ]*Fubini's Theorem*[ Somnath Pandit ]*Line Integrals*[ Somnath Pandit ]*Gradient*[ Padmapriya Mohan ]*Vector Fields*[ Somnath Pandit ]*Div, Grad, Curl and all that**Curl and Divergence*[ Padmapriya Mohan ]*Conservative Fields, Path Independance, Gradient Fields*[ Padmapriya Mohan ]*$\vec F$ is conservative $\implies$ curl $\vec F = 0$*[ Padmapriya Mohan ]*The Fundamental Theorem of Line Integrals*[ Somnath Pandit ]*Green's Theorem*[ Padmapriya Mohan ]*Triple Integrals and Surface Integrals*- Linear Algebra
*Vector Spaces**Vector Spaces*[ Simran Chhattani ]*Polynomial and Functional Vector Spaces*[ Simran Chhattani ]*Inner Product Spaces*[ Simran Chhattani ]*Dual of a Vector Space*[ Simran Chhattani ]*Basis of a Vector Space and its Subspace*[ Simran Chhattani ]*Linear Transformations**Linear Transformations (Linear Maps)*[ Archit Sangal ]*The Four Fundamental Subspaces*[ Archit Sangal ]*Gram-Schmidt Orthogonalization Process*[ Archit Sangal ]*Orthonormal Bases*[ Archit Sangal ]- Series and Transformations
*Series**Power Series*[ Sri Harsha G ]*Taylor Series*[ Sri Harsha G ]*Transformations**Laplace Transform*[ Sri Harsha G ]*Fourier Transform*[ Sri Harsha G ]*Z-Transform*[ Sri Harsha G ]

The internship started on
**06 May 2020** and covered the following topics and
subtopics:

The internship started on
**06 May 2020** and covered the following topics and
subtopics:

The internship started on
**16 Jul 2020** and covered the following topics and
subtopics:

- Calculus
*Introduction to Calculus**When Do Limits Exist?*[ Aryan Singh ]*Infinite Sums In a Nutshell (Riemann Integrals)*[ Aryan Singh ]*The Fundamental Theorem of Calculus*[ DefaultDummy User ]*Infinite Sequences and Series*[ Aryan Singh ]*The Volume and Surface Area of Gabriel's Horn*[ Aryan Singh ]*How Fast am I Going? - An Introduction to Derivatives*[ Aryan Singh ]

The internship started on
**06 May 2020**. The submissions are currently being reviewed.

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