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FUNDAMENTALS OF MATHEMATICS

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Content

Weeks Topics
1. Weeks Propositions, Axiomatic Systems
2. Weeks Concept of Set, Properties of Sets, Operations on Sets, Relations Between Sets
3. Weeks Relations and Functions
4. Weeks Set Theoretic Paradoxes, Axiomatic and Naive Set Theory
5. Weeks Properties of Natural Numbers, Proofs by Induction
6. Weeks Integers, Rational Numbers
7. Weeks Real Numbers
8. Weeks Complex Numbers
9. Weeks Algebraic Structures, Semigroup, Group, Boolena Algebra
10. Weeks Ring, Field
11. Weeks Vector Space
12. Weeks Linear Equations, Linear Equation Systems, Matrices, Matrix Operations, Solving Systems of Linear Equations by Matrices
13. Weeks The Concept of Probability, Experiment, Occurrence, The Axioms of Probability, Bayes Theorem, Problems, Probability in decision
14. Weeks Review
  • Description
  • Content
  • Learning Outcomes
  • Learning Activities and Teaching Methods
  • Course's Contribution to Prog.
  • Assessment Methods
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