Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones.

Course Purpose; To give students hands on experience with statistical software to perform data exploration and analysis as well as to write and run simple programs that can be used to solve financial problems using a high level programming language.

This document defines and discusses countable and uncountable sets, as well as open and closed sets in metric spaces. Some key points: - Sets are countable if they are finite or equivalent to the natural numbers, and uncountable otherwise. The real numbers are uncountable while the rational numbers are countable.

Covers introduction to communication, elements of communication effective communication, communication barrier and it's solutions, listening and critical thinking, note taking, writing skills,oral communication, speeches, interviews, meetings, discussion etc

This document provides an overview of the course content and references for SMA 2104: Mathematics for Science. It includes the following topics: 1. Algebra: surds, logarithms, indices, quadratic functions, permutations, combinations, series, and binomials. 2. Trigonometry: trigonometric functions, graphs, inverses, and formulae. 3. Statistics: data collection, measures of central tendency, measures of dispersion, and graphical and calculation methods. 4. Probability: classical, axiomatic approaches, compound events, conditional probability, tree diagrams, and binomial distribution. The document then provides an example lecture on algebra, covering numbers, surds.

Desktop application programming involves the development of software applications designed to run on desktop or laptop computers, typically on operating systems like Windows, macOS, or Linux. These applications are standalone, meaning they do not require a web browser to operate, though they may interact with the internet or other systems.

Exceptions are objects that are raised at runtime to abnormal behavior in an application. Exception handling provide a robust way to ensure that applications do not crash. It provides a standard way to handle and throw, or raise, exceptions

Input validation is the process of ensuring that user-provided data or inputs meet specific criteria before being processed by a system or application. It helps ensure data integrity, security, and functionality by filtering or rejecting invalid data.

NET framework is a Microsoft’s platform for developing component-based software. It provides fundamental advances in runtime services for application software. The framework provides services necessary to develop and deploy applications for the loosely coupled, disconnected internet environment. That is, it supports development of applications that can be free of dependencies on hardware, operating system, and language compiler. It contains compilers and other command-line utilities to link modules together and install .NET components.

Visual Basic .NET (VB.NET) is a modern, object-oriented programming language developed by Microsoft. It is an evolution of the older Visual Basic language, designed for building a wide range of applications that run on the .NET Framework