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Semester 4BCA404

Computer Oriented Numerical Methods (BCA404) crash course, Online BCA, Semester 4:

This subject covers computer arithmetic and errors, root-finding for nonlinear equations, solving systems of linear equations, polynomial interpolation,…

  • 17 video lessons
  • 6h 7m
  • Study notes
  • 85 quiz questions
  • Assignment
Enroll nowSee the lessons
Computer Oriented Numerical Methods crash course

17 lessons in Computer Oriented Numerical Methods

Each lesson pairs one topic with a hand-picked video, trimmed to the part that teaches it.

About this subject

This subject covers computer arithmetic and errors, root-finding for nonlinear equations, solving systems of linear equations, polynomial interpolation, numerical differentiation and integration, and numerical solution of ordinary differential equations. After it you will be able to choose and apply the right numerical method to a problem, carry out the calculations step by step, and judge the accuracy and convergence of the result.

  1. 1

    Floating Point Arithmetic and Normalization

    Module I, Numeric Computation: Computer Arithmetic - Floating point numbers - operations, Normalization and their Consequences

    Arithmetic operations with Normalize floating point-N.M (Lect-2)· Step-in-IT I Computer Science· 15 min

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  2. 2

    Absolute, Relative and Percent Error

    Module I, Numeric Computation: Absolute, Relative and Percent Error

    Error Analysis | Numerical Methods |Inherent, Round off, Truncation, Absolute, Relative and % errors· Mathematics-Ganit Sangrah· 18 min

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  3. 3

    Bisection and False Position Methods

    Module I, Numeric Computation: Iterative Methods: Zeros of a single Transcendental equations and Zeros of Polynomial Equations using Bisection, False Position

    Bisection Method | Numerical Methods | Solution of Algebraic & Transcendental Equation· Dr.Gajendra Purohit· 20 min

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  4. 4

    Newton-Raphson Method and Convergence

    Module I, Numeric Computation: Newton-Raphson Methods, Convergence of Solution

    Newton Raphson Method | Numerical Methods | Formula & Example· Dr.Gajendra Purohit· 19 min

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  5. 5

    Gauss Elimination with Pivoting

    Module II, Simultaneous Linear Equations: Solution of Simultaneous Linear Equations, Direct Methods: Gauss elimination method, Pivoting

    Gauss Elimination Method | Partial Pivoting Process· Dr. Harish Garg· 31 min

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  6. 6

    Gauss-Jordan Method

    Module II, Simultaneous Linear Equations: Gauss-Jordan Method

    Gauss Jordan Method | Numerical Methods | solution of Linear Equations· Dr.Gajendra Purohit· 19 min

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  7. 7

    Jacobi and Gauss-Seidel Iterative Methods

    Module II, Simultaneous Linear Equations: Iterative methods: Jacobi's Methods, Gauss-Seidel Method

    Jacobi method | Iterative method | Solution of Linear System Equation· Dr.Gajendra Purohit· 12 min

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  8. 8

    Difference Tables and Newton Forward/Backward Interpolation

    Module III, Polynomial Interpolation: Difference Tables, Forward and backward difference Formulae

    Interpolation Formula -Newton Forward & Backward | Example and Solution· Dr.Gajendra Purohit· 24 min

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  9. 9

    Newton's Divided Difference Interpolation

    Module III, Polynomial Interpolation: Newton's divided difference

    Numerical Analysis 2.0 | Newton's Divided Difference for Unequal Interval by GP Sir· Dr.Gajendra Purohit· 25 min

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  10. 10

    Lagrange Interpolation

    Module III, Polynomial Interpolation: Lagrange's Method

    Numerical Analysis 2.0 | Lagrange's Interpolation for Unequal Interval by GP Sir· Dr.Gajendra Purohit· 18 min

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  11. 11

    Numerical Differentiation Using Newton's Formulae

    Module IV, Numerical Differentiation and Integration: Formula for first and second order derivatives using Newton's Forward and Backward formula

    Numerical Analysis 2.0 | Numerical Differentiation by GP Sir· Dr.Gajendra Purohit· 25 min

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  12. 12

    Newton-Cotes Formula and Trapezoidal Rule

    Module IV, Numerical Differentiation and Integration: Numerical Integration, Newton-Cotes Formula: Trapezoidal rule

    Numerical Integration : Newton Cote's Formula's - Concept & Derivation in Hindi· Bhagwan Singh Vishwakarma· 30 min

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  13. 13

    Simpson's 1/3, 3/8 and Weddle's Rule

    Module IV, Numerical Differentiation and Integration: Simpson's 1/3rd rule, Simpson's 3/8th rule, Weddle's rule

    1. Numerical Integration | Trapezoidal, Simpson's 1/3 and 3/8, Weddle's rule | Problem#1 | Important· MKS TUTORIALS by Manoj Sir· 16 min

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  14. 14

    Differential Equations Basics and Picard's Method

    Module V, Numerical Solution of Differential Equations: Basic Terminology of Differential Equations, Picard's Method

    Introduction to Picard's Method|Numerical Methods|BCA|B.SC.B.TECH|Dream Maths· Dream Maths· 32 min

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  15. 15

    Euler's and Taylor Series Methods

    Module V, Numerical Solution of Differential Equations: Euler's method, Taylor's Series method

    Introduction to Euler's MethodNumerical Methods|Dream Maths· Dream Maths· 24 min

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  16. 16

    Runge-Kutta Methods

    Module V, Numerical Solution of Differential Equations: Runge-Kutta Methods

    Runge Kutta Method of 2nd, 3rd, 4th Order | Solution of ODE By Numerical Analysis | By Vaishali Mam· Online Tutorial by Vaishali | CSIR NET | GATE · 23 min

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  17. 17

    Predictor-Corrector Method

    Module V, Numerical Solution of Differential Equations: Predictor-Corrector Method

    10. Milne's Predictor Corrector Method | Complete Concept & Problem#1 | Numerical Methods· MKS TUTORIALS by Manoj Sir· 16 min

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Assignment

Numerical Methods Problem Set: From Floating Point to Runge-Kutta

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    Hand-picked video lessons

    17 short lessons, each with the best YouTube explanation we could find, trimmed to the part that matters.

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    85 questions across the course, with the right answer and why, the moment you pick.

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Computer Oriented Numerical Methods: common questions

This subject covers computer arithmetic and errors, root-finding for nonlinear equations, solving systems of linear equations, polynomial interpolation, numerical differentiation and integration, and numerical solution of ordinary differential equations. After it you will be able to choose and apply the right numerical method to a problem, carry out the calculations step by step, and judge the accuracy and convergence of the result. It's the Computer Oriented Numerical Methods subject of Online BCA, Semester 4, in 17 lessons: Floating Point Arithmetic and Normalization; Absolute, Relative and Percent Error; Bisection and False Position Methods; Newton-Raphson Method and Convergence; Gauss Elimination with Pivoting; Gauss-Jordan Method; Jacobi and Gauss-Seidel Iterative Methods; Difference Tables and Newton Forward/Backward Interpolation; Newton's Divided Difference Interpolation; Lagrange Interpolation; Numerical Differentiation Using Newton's Formulae; Newton-Cotes Formula and Trapezoidal Rule; Simpson's 1/3, 3/8 and Weddle's Rule; Differential Equations Basics and Picard's Method; Euler's and Taylor Series Methods; Runge-Kutta Methods; Predictor-Corrector Method.

Yes. Every video lesson is free to watch without an account. A free login unlocks study notes, quizzes, the assignment, a notebook and progress that syncs across devices.

About 6h 7m of video across 17 lessons, plus time for notes and quizzes. Go at your own pace; your place is saved.

Yes: “Numerical Methods Problem Set: From Floating Point to Runge-Kutta”. It comes after the last lesson, with a brief, clear tasks and how the work is judged.

A members-only live chat beside the video, shared by everyone studying Online BCA, where learners ask doubts, share tips and react with stickers and GIFs. One ₹19 pass, paid once from your InsideEdge wallet, opens the live chat for every degree.

No. It's a crash course to help you understand and revise the subject quickly. Use it alongside your official study material and assignments.

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