Lectures related to Computer algebra system

Numerical Methods: Weak Variational Form and Integration by Parts

Explores approximation methods and weak variational forms in numerical methods.

Covers congruence modulo m and arithmetic operations.

Explains congruence modulo m and its applications in arithmetic operations.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Counterexample to Induction Theorem

Explores a counterexample to the induction principle, demonstrating a property of natural numbers.

Numerical Methods for Physics: Iterative Solutions and Mesh Convergence

Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.

Finite Fields and Vector Spaces

Explores finite fields, vector spaces, commutative groups, and field properties, highlighting their significance in coding theory and algebraic computations.

Numerical Flow Simulation: Methods and Applications

Explores numerical methods for flow simulation, including finite element, spectral, particle, and lattice Boltzmann methods.

Example: 1D steady diffusion

Explores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.

Fourier Series: Examples

Explores examples of Fourier series coefficients and applications in various functions.

Magnetic Fields and Complex Numbers

Explores magnetic fields from moving charges and the properties of complex numbers.

Solutions to QCM 7-8

Covers solutions to mathematical equations involving limits, square roots, and algebraic expressions.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Linear Algebra: Singular Value Decomposition

Delves into singular value decomposition and its applications in linear algebra.

Mathematics: Basics and Applications

Covers the basics of mathematics and its applications in architecture.

Combinational Circuits Synthesis

Covers the synthesis of combinational circuits and the methodology for analyzing specifications.

The Role of Operating Systems: Foundations and Functions

Covers the essential role of operating systems in managing hardware and enabling applications across various devices.

Algebraic Expressions

Covers algebraic expressions, operations, factorization, and equation solving.

Limits of Sequences: Induction, Bernoulli's Inequality, and Algebra

Explores induction, Bernoulli's inequality, and algebraic limits in sequences with examples and computations.

Inverse Hyperbolic Functions: Examples

Covers examples of inverse hyperbolic functions and their applications in solving mathematical problems.