The Indian Institute of Technology (IIT) Roorkee has officially released the complete syllabus for the much-anticipated JEE Advanced 2026 examination, and it is now available for direct download on ...

CBSE Class 10 Maths Chapter 3: Pair of Linear Equations in Two Variables is a high-weightage chapter that helps students build strong algebraic and graphical problem-solving skills. This chapter ...

This collection of Julia functions is an attemp to implement high performance numerical software to solve several classes of Lyapunov, Sylvester and Riccati matrix equations at a performance level ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

On this page you will find the listing of graduate course descriptions (selected). See course listings for current semester, here. UB Registrar: Register for classes. Course information is subject to ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. They are a crucial part of linear algebra and have various applications in fields like engineering, ...

Abstract: Although it is known that Gaussian elimination method for solving simultaneous linear equations is not asymptotically optimal, it is still one of the most useful methods for solving systems ...