Numerical Analysis-II

The course has been designed to teach the students about numerical methods and their theoretical bases. It provides necessary background needed for numerical computing in various mathematical and engineering disciplines. The students are expected to know computer programming to be able to write programs for the solution of Mathematical problems. It is a pre-requisite for many engineering courses. Knowledge of Calculus and linear algebra would help in learning these methods.

Intermediate 0(0 Ratings) 0 Students enrolled
Created by Muhammad Usman Last updated Mon, 24-Jul-2023 English
What will i learn?
  • Knowledge and Understanding: During the lecture the student understands the nature and operations of Numerical Analysis, demonstrates familiarity with theories and concepts used in Numerical Analysis, and identifies the steps required to carry out a piece of research on a topic in Numerical Analysis.
  • Intellectual Skills: By the end of the course the student is expected to recognize and apply appropriate theories, principles and concepts relevant to Numerical Analysis, critically assess and evaluate the literature within the field of Numerical Analysis, analyze and interpret information from a variety of sources relevant to Numerical Analysis
  • Practical Skills: By the end of the course student will have the ability to compare the computational methods for advantages and drawbacks, choose the suitable computational method among several existing methods.
  • Transferable Skills: Within the lectures the student is able to transfer ideas and experience, work effectively as a part of a group and independently.

Curriculum for this course
4 Topics
Ordinary differential equations
0 Sub Topics
Partial differential equations
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Eigenvalue problems
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Integration in multidimension
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Title Lectures Price
Inquiry Based Session-1 lesson 1 20$
Regular Package/ 4 lesson 4 75$
Standard Package/8 Lesson 8 140$
Premium Package/12 12 225$
Fast Track/16 Lesson 16 300$
  • Calculus, Numerical Analysis-I
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Ordinary differential equations: Predictor methods, modified Euler’s method, truncation error and stability, the Taylor series method, Runge-Kutta methods, Differential equations of higher order, system of differential equations, shooting methods for boundary value problems.

Partial differential equations: Elliptic hyperbolic and parabolic equations, explicit and implicit finite difference methods, stability, convergence and consistency analysis, the method of characteristic. Application to Dirichlet, Neumann and Mixed problem.

Eigenvalue problems: Estimation of eigenvalues and corresponding error bounds, Gerschgorin’s theorem and its applications, Schur’s theorem, power method, shift of origin, deflation method for the subdominant eigenvalues.

Integration in multidimension.

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About the instructor
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  • 6 Courses
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Hi, I am Dr. Muhammad Usman graduated from Peking University in the field of applied and computational mathematics with distinguished student. I also completed my postdoc in field of computational mathematics. I have numerous research articles published in well-reputed international journals. Therefore, I have rich experience in research and supervise project students. As for as my teaching career is concerned, I have 14 years’ experience in teaching. I have taught various courses at A-level, O-level, graduate and postgraduate level. In the recent past years, I involve extensively in teaching online at A-level and O-level. Positive feedback of my past students always encourage me to deliver more in the better way. I look forward to working together with you as partners in your child’s educational growth and development!!

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