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Section Daily Prep 1
For the beginning of the semester, you will start by familiarizing yourself with the syllabus and reviewing some material from MATH 2106 which will be useful throughout this semester. In class, we will also get to know each other and begin to investigate the basic ideas of symmetries and groups.
Subsection Learning Objectives
Subsubsection Basic Learning Objectives
Objectives
Before our class meeting, you should use the resources below to be able to learn the following. You should be reasonably fluent with these; we’ll answer some questions on them in class but not reteach them in detail.
State the Well Ordering Principle
State and use the Division Algorithm for integers
Do basic arithmetic computations modulo an integer
\(n\)
State the definitions of onto/surjective and one-to-one/injective functions.
Subsubsection Advanced Learning Objectives
Objectives
During our class meeting, we will work on learning the following. Fluency with these is not expected or required before class.
State and instantiate the definitions of: symmetry
Create or complete an operation/Cayley table for the symmetries of a figure
Create or complete a Cayley graph for the symmetries of a figure
Subsection Resources for Learning
Use these resources to prepare for class and answer the questions below.
Gallian, Chapter 0, pp. 3-12, 20-23
The Modular Arithmetic & Functions and Proof Review assignments in Canvas, which include videos and practice problems.
If you do not yet have a copy of the textbook, find your favorite source on modular arithmetic, function basics, and division/gcds.
Subsection Important Terms
