Instructor: | Mr. Isa Hafalir, Mr. Ahmed Hefny |
Attendance: | Ayan, Adan, Omar, Baseer |
Handout: | Purple comet problems |
Problems Solved in Class: | - Problems 1-5 of 2015 Purple Comet test - Examples from "Introduction to Counting and Probability" |
Concepts: | Counting: - Counting number of elements in a list: Off-by-one errors, problem reduction: reduce a more difficult problem to a simpler one; transforming elements in a list does not change the number of elements. - Counting using Venn diagrams- Constructive Counting: Define a generative process to create solutions such that the number of possibilities in each step of the process can be counted. - Complementary Counting: When counting the number of solutions that satisfy a condition, sometimes it is easier to count the number of solutions that do NOT satisfy the conditions (let's call that x). The answer then would be:answer = number of all solutions - x |
Student Difficulties: | |
Homework: | Homework due 3/6: Purple Comet Problems: Problems 6-15 Counting: https://www.dropbox.com/s/zy3vdbrdj4ifrsw/CountingDay1.pdf?dl=0 |
Notes: | * Please bring working sheets and pencils to upcoming sessions. * A competition will be held on 2/28. It will cover all concepts discussed so far. Use purple comet handout for preparation. |
Monday, February 22, 2016
Division M2 session on Feb 21, 2016
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