Download the detailed syllabus PDF here. Check the section-wise topics, exam pattern, preparation strategy, and best books.

Under the hood, mathematical problems called partial differential equations (PDEs ... This step can be completed easily with linear algebra. Now, imagine that the parabolic PDE has additional ...

Matrices, algebra of matrices ... solution of a homogeneous and linear differential equation (of the type as mentioned in the pdf below). Cartesian system of rectangular coordinates 10 in a ...

and analyze dynamic models formulated as differential equations. linearize nonlinear models formulate linear models in a compact notation, manipulate them in an efficient manner and solve linear ...

However, AI models are often used to find intricate patterns in data where the output is not always proportional to the input ...

This tutorial focuses on solving Wronskian problems, an essential concept in differential equations and linear algebra. Aimed at advanced mathematics students, educators, or anyone delving into the ...

Our physics expert picks his top-five equations, plus a scheme to supply US power needs with a bucket of baseballs. Thanks, ...

In a mesmerising blend of art and mathematics, a research student from University College London (UCL) has recently gained widespread attention for creating intricate images solely through ...

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and ...

We have looked at how to solve equations with one unknown value, but what happens when there are two unknown values? An equation with two unknown values will have infinitely many solutions.