Merge Learning: Matrices to Numerical Methods using Excel

What you'll learn
Redefine Numerical Methods using Matrices in an interdisciplinary mode
Solve problems related to Numerical Methods using knowledge of Matrices
Analyze the concept of Numerical methods through Matrices
Apply acquired knowledge to problems using Excel

Description
The course aims to explore areas, which are otherwise excluded in traditional classroom learning. Matrices are a modern tool in science and technology. Determinant helps to find the consistency of the given matrix. Numerical methods approximate true solutions and are repeatedly applied to better approximate until an accurate solution is obtained. The bridge between Matrices and Numerical methods is narrowed for the students to grasp multi-facet knowledge. The blending of these subjects taught in online mode would bring the learner ease to connect with applications in real life. The learner is no more restricted to the narrow platform of knowledge. Interdisciplinary approaches are inculcated naturally through this course. The course imbibes the learner to apply in various fields of the study and allows them to think in a broader aspect to bridge the gap between two subjects.

The course consists of:

Introduction to Matrices (includes properties like addition, subtraction, multiplication, adjoint, etc.)

Basic knowledge of determinant, Cramer's rule (2x2,3x3,4x4)

Two ways to find the inverse, and in Excel

normal form and echelon form

normal form and echelon form using Excel.

Introduction to Numerical methods extended from Matrices

Numerical methods of Gauss methods

Gauss-elimination with Excel

Gauss-Jordan with Excel

Gauss-Jacobi and with Excel

Gauss-Seidel collaborating with Excel.

Who this course is for:
Undergraduate students can extend classroom learning to practice connecting two different subjects of mathematics using Excel

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