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• Select section COURSE INTRODUCTION

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  COURSE INTRODUCTION

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  This course exposes learners to the numerical methods which are techniques that used to approximate solutions to mathematical problems that cannot be solved exactly. They are especially useful for solving equations, differential equations, and optimization problems where analytical solutions are difficult or impossible to obtain. Numerical methods are widely used in various fields such as engineering, physics, finance, and computer science. The suggested learning hours are 40 hours. Learners are required to complete all the tasks in two topics, which are LU Decomposition: Crout Method and LU Decomposition: Doolitle Method. In the end of this course, learners will be able to solve the linear simultaneous equations by using LU Decomposition method.

  
  

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• Select section SUBTOPIC 1: LU Decomposition - Crout Method

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  SUBTOPIC 1: LU Decomposition - Crout Method

  • Select activity Solve linear simultaneous equations by Crout Method

    

    Solve linear simultaneous equations by Crout Method Lesson

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    The Crout method is a variant of LU Decomposition used for solving systems of linear equations. It decomposes a given square matrix A into the product of a lower triangular matrix L and an upper triangular matrix U, but unlike standard LU Decomposition, Crout method computes L such that L is lower triangular and U is upper triangular with 1's on its diagonal.
    
    

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    FORUM DISCUSSION 1

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    QUIZ 1

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• Select section SUBTOPIC 2: LU DECOMPOSITION - DOOLITTLE METHOD

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  SUBTOPIC 2: LU DECOMPOSITION - DOOLITTLE METHOD

  • Select activity Solve linear simultaneous equations by Doolittle Method

    

    Solve linear simultaneous equations by Doolittle Method Lesson

    The Doolittle method is a numerical technique used for solving systems of linear equations. It is a form of LU Decomposition, where the coefficient matrix A of a system Ax = b is decomposed into the product of a lower triangular matrix L and an upper triangular matrix U. This method simplified the process of solving linear systems by breaking down the problem into simpler steps.

    
    
    

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    FORUM DISCUSSION 2

    
    

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    QUIZ 2

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• Select section COURSE CONCLUSION

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  COURSE CONCLUSION

  Congratulations on completing this online course! We hope you found the content engaging and valuable for your personal and professional development. Throughout this journey, you have gained new skills, explored innovative ideas, and engaged in meaningful discussions that will serve as a foundation for your future endeavors.

  As you move forward, remember that learning is a continuous process. Stay curious, seek out new opportunities, and apply what you've learned in real-world scenarios. 

  Thank you for your participation and commitment. We wish you the best in your future pursuits and hope to see you in our upcoming courses. Your journey doesn’t end here—it's just the beginning!

  Best of luck, and stay connected!

  
  

  • Select activity FEEDBACK

    

    FEEDBACK

    We value your input! Please take a moment to provide feedback on the course, as it helps us enhance our offerings for future learners. 

    Once again, congratulations and best wishes on your learning journey ahead!

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