Adaptation DM 20-21
The main goal of the Discrete Mathematics Adaptation Course is to help students keep up with the course curriculum by discussing the most important and challenging topics in detail. The second very important goal of the course is to teach students to work competently with mathematical definitions and proofs, correctly logically build solutions to problems and prove statements. The topics of the course are coordinated with the "basic" course of the DSBA and SE program, but its study will also be useful for the direction of AMI. The approximate order of topics is sets and logic, combinatorics, functions and relations, graphs, the beginning of number theory, the foundations of probability theory, generating functions.
The classes are organised online on Fridays at 11:10.
|Date||Topic||Problem Set||Class note||Video|
|25.09.20||Statements, connectives, quantifiers||PS 1|
|2.10.20||Logics and inductive definitions||The same PS|
|9.10.20||Mathematical Induction. Formal Proofs.||PS 3|
|16.10.20||Divisibity.||PS 4||Notes 4||Video 4|
|23.10.20||Divisibility. Great common dividers.||PS 5||[ Notes 5]||Video 5|
|30.10.20||The Euclidean algorithm. Bezout equations.||PS 6||Notes 6||Video 6|
|6.11.20||Euler's and Fermat's Little Theorems||PS 7||Notes 7||Video 7|
|13.11.20||Bezout equalities and sotition of congruences||PS 8||Notes 8||Video 8|
|20.11.20||Logics, induction and number theory||PS 9||Notes 9||Video 9|
Homework 1 (Logics and Induction), Deadline 7th November extended to 26th November
Homework 2 (Number Theory), Deadline 7th December
[ Homework 3 (Set Theory)], Deadline 20th December
Grading and Results
Final grade = 1/2*Homework 1 + 1/2*Homework 2 + Bonus points
Bonus point number is between 0 to 20. Such points may be given for a variety of auxiliary activities.