- Linear Algebra (90905)
תקציר הקורס:
Abstract:
The first part of the course is dedicated to study of techniques for
solving systems of linear equations. Several basic methods are presented:
Gauss elimination, matrix solution, Cramer rule.
The last two methods involve matrix arithmetic,
which is also presented in this part. The second part discusses vector spaces and linear transformations. Most attention is given
to the matrix approach. Matrix diagonalization issues summarize this part.
The last part of the course study inner product spaces and their basic properties.
- Discrete Mathematics (90926)
תקציר הקורס:
Abstract:
Logic – basic definitions and concepts, predicate arithmetic. Set theory – basic definitions, general relations, equivalent and order relations, mathematical induction principle, f?unctions and set cardinality. Combinatorics – basic definitions and principles, Newton binomial formula, inclusion – exclusion principle, pigeonhole principle, recursions, generating f?unctions Graph theory – basic definitions and results, trees, Euler graphs.
- Discrete Mathematics IBL (90955)
תקציר הקורס:
Abstract:
Introduction to Logic - basic concepts, Set Theory, Relations, Equivalence Relations, Order Relations, Induction, f?unctions, Cardinality, Combinatorics, Newton's Binom, Inclusion-Exclution, Pigeon hole principal, Recursion, generating f?unctions and Introduction to Graph Theory