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    Moodle is an open-source Learning Management System (LMS) that provides educators with the tools and features to create and manage online courses. It allows educators to organize course materials, create quizzes and assignments, host discussion forums, and track student progress. Moodle is highly flexible and can be customized to meet the specific needs of different institutions and learning environments.

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Available courses

This Course Contains all the concept of Laplace transform. Here, we will Cover Laplace transform of standard function and Advance function. Along with that it will also cover all Properties of Laplace Transform, Inverse Laplace Transform and Application of Laplace Transform. In this course all problems are grouped into number of Exercises on the basis of similarity of problems and all types  of problems are solved with clear explanation.

Learning outcomes

By the end of this course the learner should be able to:

Statistics is a comprehensive course that introduces students to the fundamental principles and techniques of statistical analysis. This course equips students with the necessary skills to collect, organize, analyze, interpret, and present data effectively. Through a combination of theoretical concepts and practical applications, students gain a deep understanding of statistical methods and their relevance in various fields, including science, business, social sciences, and research.

The course focuses on both descriptive and inferential statistics, providing students with a solid foundation in data analysis and hypothesis testing. Students learn how to summarize data using measures of central tendency and variability, explore the relationships between variables, and make informed decisions based on statistical evidence.

LEARNING OUTCOME

By the end of this topic a learner should be able to :

1. Classification of data 

   - Grouped data

    - Ungrouped data

2. Data collection

     - Importance of sampling

      - Errors in sampling

       - Types of sampling and their limitations

3. Tabulation of data

       - Class intervals

        - Class boundaries

         - Frequency tables

          - Cumulative frequency

4. Diagrammatic and graphical presentation of data e.g. 

  • Histograms

  • Frequency polygons

  • Bar charts

  • Pie charts

  • Curves 

5. Measures of central tendency (mean, mode and median)

  • Measures of dispersion

  • Variance and st

Vector Theory is an advanced mathematical course that explores the fundamental concepts and applications of vectors in various mathematical and physical fields. This course builds upon the foundational knowledge of vector algebra and introduces students to vector calculus and its applications.

The course is designed to provide students with a deep understanding of vectors and their role in mathematical modeling, physics, engineering, and computer science. It aims to develop students' ability to analyze and manipulate vector quantities, as well as apply vector techniques to solve complex problems.

Learning outcomes

By the end of the topic the learner should be able to : 

  • Definition of dot and cross product of vectors

  • Solution of problems involving dot and cross production of cross

  • Definition of operators

  • Definition of vector field

  • Solutions of problems involving vector fields 

  • Definition of Gradient, Divergence and curl 

  • Solutions of involving Gradient, Divergence and curl 

  • Application of vectors  

Coordinate geometry, also known as analytic geometry, is a branch of mathematics that combines algebra and geometry. It involves studying geometric figures using a coordinate system, where points are represented by ordered pairs or triples of numbers.

In coordinate geometry, the Cartesian coordinate system is commonly used. It consists of two or three perpendicular number lines called axes: the x-axis, y-axis, and sometimes the z-axis in three-dimensional space. The point where the axes intersect is called the origin and is assigned the coordinates (0, 0) or (0, 0, 0).

LEARNER OUTCOMES

By the end of this topic a learner should be able to :

  • Polar equations

  • Cartesian equation

  • Graphs of polar equations

  • Normal and tangents

  • Definition of a point

  • Locus of a point in relation to a circle

  • Loci of points for given mechanism