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UNIT 1 https://www.khanacademy.org/math/statistics-probability/probability-library?utm_source=chatgpt.com https://nptel.ac.in/courses/111106112?utm_source=chatgpt.com UNIT 2 https://stattrek.com/hypothesis-test/hypothesis-testing?utm_source=chatgpt.com https://www.itl.nist.gov/div898/handbook/?utm_source=chatgpt.com UNIT 3 https://ocw.mit.edu/courses/18-s997-introduction-to-matlab-programming-fall-2011/pages/numerical-methods/?utm_source=chatgpt.com https://www.geeksforgeeks.org/numerical-methods/?utm_source=chatgpt.com UNIT 4 https://mathworld.wolfram.com/Interpolation.html?utm_source=chatgpt.com https://tutorial.math.lamar.edu/classes/calcii/ApproximatingDefIntegrals.aspx?utm_source=chatgpt.com UNIT 5 https://math.libretexts.org/Bookshelves/Differential_Equations/Numerically_Solving_Ordinary_Differential_Equations?utm_source=chatgpt.com https://www.mathworks.com/help/matlab/math/ordinary-differential-equations.html?utm_source=chatgpt.com
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23MAT205 / Probability, Statistics and Numerical Methods(CIVIL)

UNIT I ᧓ Probability and Random Variables

  1. NPTEL ᧓ Probability and Statistics
  2. NPTEL ᧓ Stochastic Processes
    These cover probability, random variables, distributions, expectations, and related concepts.

UNIT II ᧓ Testing of Hypothesis

  1. NPTEL ᧓ Probability and Statistics
  2. NPTEL Mathematics Courses Portal
    These include sampling distributions, hypothesis testing, chi-square tests, and statistical inference topics.

UNIT III ᧓ Solutions of Equations

  1. NPTEL ᧓ Numerical Methods
  2. NPTEL ᧓ Numerical Methods for Engineers
    These cover Newton-Raphson, Gauss elimination, Gauss Jordan, Jacobi, and Gauss Seidel methods.

UNIT IV ᧓ Interpolation, Numerical Differentiation and Numerical Integration

  1. NPTEL ᧓ Numerical Methods
  2. NPTEL+ ᧓ Introduction to Numerical Analysis
    These include Lagrange interpolation, Newton interpolation, trapezoidal rule, and Simpson᧙s rule.

UNIT V ᧓ Numerical Solution of Ordinary Differential Equations

  1. NPTEL ᧓ Numerical Methods
  2. NPTEL ᧓ Numerical Methods and Simulation Techniques
    These cover Euler method, Modified Euler method, Runge-Kutta method, and Milne predictor-corrector methods.
 
 
 
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