Courses and Syllabus

Courses and Syllabus

Type – Elective
Course Code – DAMSL-090
Teaching Semester – A Semester
ECTS Credits – 5
Student Performance Evaluation

Homework and/or Lab Assignments, Final exam/projectt

Prerequisite Courses

Python Programming

Syllabus
  • Introduction to the concept of data structure (representation of data in memory, different ways of organizing it, the structure as a basis for algorithmic techniques)
  • Introduction to complexity and its importance as an analysis tool
  • Introduction to the Python language
  • Tables
  • Stacks and queues.
  • Linked lists, singly linked, doubly linked, circular lists
  • The concept of sorting and simple algorithms
  • Trees (binary trees, binary search trees, etc.)
  • Hash table
  • Structures in graph form
 
Learning Outcomes
  • Understanding the concept of data structure.
  • Implementation of different structures
  • Evaluation of their characteristics
  • Understanding of basic algorithmic features.
  • Perception of the suitability or otherwise of a structure for a computational problem
  • Ability to use the above skills to solve computational problems
  • Basic use of Python to implement computing solutions
Type – Elective
Course Code – DAMSL-91
Teaching Semester – A Semester
ECTS Credits – 5
Student Performance Evaluation

Homework and/or Lab Assignments, Final Exam and/or Project

Prerequisite Courses

Calculus I, Linear Algebra I, Python

Syllabus
  • Introduction to probability: Random experiments, probability axioms, conditional probability, law of total probability, Bayes’ rule, and counting methods.
  • Random variables and their distributions: Single and multiple random variables, expectation, variance, moment generating factors, inequalities.
  • Limit theorems: Convergence of random variables, weak law of large numbers, central limit theorem.
Learning Outcomes

Upon completion of the course the students will have:

  • Good knowledge of the basic concepts in probabilities: random experiments and axioms, conditional probability, Bayes law. 
  • Good knowledge of random variables and their distributions, expectation, and variance. Law of large numbers.

DAMSL-090 Data Structures

Syllabus
  • Introduction to the concept of data structure (representation of data in memory, different ways of organizing it, the structure as a basis for algorithmic techniques)
  • Introduction to complexity and its importance as an analysis tool
  • Introduction to the Python language
  • Tables
  • Stacks and queues.
  • Linked lists, singly linked, doubly linked, circular lists
  • The concept of sorting and simple algorithms
  • Trees (binary trees, binary search trees, etc.)
  • Hash table
  • Structures in graph form
Learning Outcomes
  • Understanding the concept of data structure.
  • Implementation of different structures
  • Evaluation of their characteristics
  • Understanding of basic algorithmic features.
  • Perception of the suitability or otherwise of a structure for a computational problem
  • Ability to use the above skills to solve computational problems
  • Basic use of Python to implement computing solutions

DAMSL-202 Numerical Analysis

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
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

DAMSL-202 Numerical Analysis

Type – Elective

Course Code – DAMSL-090

Teaching Semester – A Semester

ECTS Credits – 5

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
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
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