Allied-Mathematics

Numerical Methods

System of Linear Algebraic Equations

Gauss Elimination Method : Video https://youtu.be/zTCKhiwUG-Q Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/11/gauss-elimination-method.pdf

Gauss Jordan Method : Video https://youtu.be/lkTl9t4zzLw Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/11/gauss-jordan-method.pdf

Gauss Jacobi Method : Video https://youtu.be/72nzPiJMvek Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/11/gauss-jacobi-method.pdf

Gauss Seidel Method : Video https://youtu.be/l-lJwaRlYwo Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/11/gauss-seidel-method.pdf

Solution of Numerical – Algebraic and Transcendental Equations

Algebraic and Transcendental Definition : Video https://youtu.be/Za0R9FQYRd8 Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/algebraic-transcendental-definition-1.jpg https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/algebraic-transcendental-definition-2.jpg

Regular Falsi Method : Video https://youtu.be/jQvi4IlUeYI Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/regular-falsi-intro.jpg

Regular Falsi Method in Algebraic Equation : Video https://youtu.be/VhPQrOSYuTg Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/rf-algebraic-1.jpg https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/rf-algebraic-2.jpg

Regular Falsi Method in Transcendental Equation : Video https://youtu.be/9Lltrhd8xN4 Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/rf-transcendental-1.jpg https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/rf-transcendental-2.jpg

Newton’s Raphson Method in Algebraic Equation : Video https://youtu.be/pO8K6AD-8nw Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/newton-algebraic-1.jpg https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/newton-algebraic-2.jpg

Newton’s Raphson Method in Transcendental Equation : Video https://youtu.be/paFvUIdK750 Notes https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/newton-algebraic-1.jpg https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/newton-algebraic-2.jpg

Measures of Central Tendency : Introduction https://kkiruthikha.wordpress.com/wp-content/uploads/2020/12/measures-of-central-tendency.jpg

Measures of Location : Mode : Video – https://youtu.be/dxHlQMhXAkk Notes – https://kkiruthikha.wordpress.com/wp-content/uploads/2021/01/mode.pdf

Median : Video – https://youtu.be/Bc0b_Y5zmrY Notes – https://kkiruthikha.wordpress.com/wp-content/uploads/2021/01/median.pdf

Mean : Video – https://youtu.be/C_ssgTM9uGM Notes – https://kkiruthikha.wordpress.com/wp-content/uploads/2021/01/mean.pdf

Percentile : Video – https://youtu.be/gC03vyIxXWc Notes – https://kkiruthikha.wordpress.com/wp-content/uploads/2021/01/percentile.pdf

Measures of Spread / Dispersion : Range & IQR : Video – https://youtu.be/GsT73O5D6nc Notes – https://kkiruthikha.wordpress.com/wp-content/uploads/2021/01/range.pdf

Standard Deviation : Video – https://youtu.be/7EeOACtYqFY Notes – https://kkiruthikha.wordpress.com/wp-content/uploads/2021/01/sd.pdf

Discrete Mathematics

Quiz 1 : Lattices and Graphs (Click the link and answer the 25 questions) – https://forms.gle/sttMHYaKyQkHxvHp8

Model Exam : Click the link below and answer the questions. Total Marks is 75. https://forms.gle/cVdoErVwKNBkznyx8

Lattice – Definition
https://www.youtube.com/watch?v=8rtXnnRP8Wg

Lattice is basically a Partial Ordered Set if for every pair in the set satisfies the Least Upper Bound and Greatest Lower Bound.

Lattice – Examples
https://youtu.be/Kh8KZ_zc31k

• In this Video, i have mentioned about Hasse Diagram. It’s the graphical representation of relation of elements of partially ordered set in which point is drawn for each element and two points are joined with line segment if they have a relation.

Lattice – Properties
https://www.youtube.com/watch?v=VOE1FEeMsvw

Lattice satisfies four properties namely Idempotent, Commutative, Associative and Absorption.

Algebraic Structures
https://youtu.be/8Fpu0ZR_RmM

Mathematics 1 – Numerical Methods and Biostatistics Syllabus

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