Lectures related to Numerical Methods in Matlab

Floating Point Numbers: Representation and Errors

Introduces floating point number representation, round-off errors, and their impact on numerical computations.

Numerical Methods: Differential Equations

Covers the application of numerical methods to solve differential equations using MATLAB.

Explores numerical integration methods and their application in solving differential equations and simulating physical systems.

Programming for Engineers: MATLAB Integration and Differentiation

Explores MATLAB integration, differentiation, ODE solvers, and simulation techniques for dynamic systems.

Floating Point Numbers: LU Decomposition and Errors

Explores floating point numbers, LU decomposition, errors, and matrix properties.

Floating Point Representation in Computers

Covers the representation of real numbers in a computer using floating point representation and the dangers of significant digit cancellation.

Nonlinear Equations: Representation of Real Numbers

Discusses the representation of real numbers in various bases and the implications of floating-point arithmetic.

Programming for Engineers: MATLAB Tips and Tricks

Explores MATLAB tips and tricks for engineers, covering installation, logical arrays, curve plotting, function approximation, anonymous functions, and numerical integration.

Floating Point Numbers: Representation and Errors

Explores floating point numbers, their representation, precision, and associated errors.

Floating Point Numbers: LU Decomposition and Errors

Explores floating point numbers, LU decomposition, errors in numerical computations, and the impact of round-off errors.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Digital Systems: Fixed-Point and Floating-Point Arithmetic

Provides an overview of fixed-point and floating-point arithmetic in digital systems.

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Digital Systems: Fixed and Floating Point Arithmetic

Discusses fixed-point and floating-point arithmetic in digital systems, covering operations, representations, and the implications of rounding errors.

Numerical Methods in Chemistry

Covers the implementation of numerical methods in MATLAB for solving chemical problems.

Floating Point Representation: Consequences for Programming

Explores the consequences of floating-point representation errors in programming, emphasizing precision and computational costs.

Monte Carlo Method: Thermal Radiation

Explores the Monte Carlo method for thermal radiation and radiative energy exchange.

Computer Arithmetic: Floating Point Numbers

Explores computer arithmetic, emphasizing fixed-point and floating-point numbers, IEEE 754 standard, dynamic range, and floating-point operations in MIPS architecture.

Number Systems: Fixed and Floating-Point Representations

Discusses fixed-point and floating-point representations in digital systems, covering key concepts like precision, accuracy, and the IEEE 754 standard.

Introduction to Matlab Programming

Introduces Matlab programming, covering basic operations, matrix manipulations, and debugging.