DAMSL-202 Numerical Analysis

DAMSL-202 Numerical Analysis

Type

Elective

Course Code

DAMSL-202

Teaching Semester

C semester

ECTS Credits

10

Student Performance Evaluation

The final grade will be based on homework/lab assignments and a final exam/project

Prerequisite Courses

Calculus I, Linear Algebra I, Python

Syllabus
  • Root finding algorithms: Bisection, Newton’s and Newton’s like methods
  • Methods for solving linear systems: Direct methods (LU, Cholesky, etc), Iterative methods (Jacobi, Gauss-Seidel, SOR, Steepest Descent, Conjugate Gradient)
  • Least Squares problem
  • Interpolation and Approximation
  • Numerical Integration
  • Solving initial value problem for ordinary differential equations
Learning Outcomes

After the successful completion of the course the students will be able to

  • Analyse basic numerical algorithms and their characteristics
  • Implement  numerical algorithms/methods in modern computational frameworks
  • Analyse the advantages and disadvantages of numerical algorithms
  • Obtain numerical approximations/solutions of basic applied problems
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