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Anne Arundel Community College

Survey of Mathematics, MT 112

 

Course Description (from the College): A one-semester course whose objective is to further develop an interest in mathematics. This course will consist of at least five topics, including sets, logic, probability, statistics and at least one topic from the following: consumer finance, geometry, game theory, mathematical systems, systems of numeration, graph theory, voting and apportionment, and linear programming. The history of mathematics will be integrated throughout all topics. Students will be expected to use elementary algebra skills in solving problems.  Prerequisite: MT 006 or appropriate college equivalent, and/or appropriate mathematics level code.

 

 

Syllabus -- in Word format

 

Important Dates (traditional section)
Exam #1 -- Tuesday, March 10th key/review/review key/flash cards
Final Exam Part I/II Data -- Thursday, May 14th key/key/review/flash cards/review/flash cards
 

see the syllabus for a more detailed calendar
 

Email List

via Canvas

 

Announcements:

Math Office: TBA
My ECC voicemail:
My ECC email: mccallb@ecc.edu
Office Hours: 10:30-11:00 T/Th and by appointment
MyOpenMath.com


 

Notes & Playlist Links

Venn Diagrams and Sets
Tables and Tree Diagrams
Probability Through Experiments and Simulations
Counting Rules: Combinations and Permutations
Symbolic Notation for Statistics
Graphing Quantitative Data
Interpreting Graphs
Bad Graphs
Numerical Summaries of Data: Mean, Median and Mode
Shapes of Distributions
Percentiles (using Data)
Empirical Rule and Percentiles

 


Homeworks

Homework #1
Homework #2
Homework #3
Homework #4
Homework #5
Homework #6

 MyOpenMath

Course ID: 64987
Enrollment Key: mccall_112_spring20


Projects (graded)

Graph Theory Project
Counting Systems Project
Final Project

Projects (ungraded)

Budget Project
Color Project
Organizing Data Project (Tables) Data
Rigid Motion Project/Activity -- graph paper
Pattern Scavenger Hunt
Sampling Activity
Histogram Activity
Descriptive Stats Activity
Calculating Standard Deviations By Hand -- key
Public Data Project
Counting Practice -- key
Expected Values -- key
Euler Graph Exercise -- key
Euler Graphs in the Real World
TSP Project
Fractal Exploration
Spiral Growth in Nature/Symmetry in Beauty Reading
Survey Reading
Counting Poker Reading
Apportionment Reading
Network Graphs Reading
Amortization Project -- Excel
Paycheck Analysis/Questions
Geogebra Assignment

 

Supplemental Activities

Pie Charts & Stem-and-Leaf Plots by Hand
Samples Activity -- key
Permutations and Combinations Activity -- key
Probability Activity -- key
Linear Regression Problems -- key
Counting Sample Spaces with Trees -- key
Design Your Own Experiment
Empirical Rule -- key
Statistical Graphs  -- key
Sampling Methods Activity
Sequences Worksheet -- key

Calculator Guides:

Statistical Graphs in the TI-83/84
TI 84 Entering Data
TI 84 Descriptive Statistics
Counting Formulas
Descriptive Statistics: Grouped Data
Correlation and Linear Regression
Complex Numbers in TI
Math of Finance


 

Answer Keys

Quiz #1 -- key
Quiz #2 -- key
Quiz #3 -- key
Quiz #4 -- key
Quiz #5 -- key
Quiz #6 -- key
Quiz #7 -- key
Quiz #8 -- key
Quiz #9 -- key
Quiz #10 -- key
Quiz #11 -- key
Quiz #12 -- key

 

Links!

Graph Theory

Graph Theory Basics (video)
Euler Circuits/Hamilton Circuits (link)
Existence of Euler Circuits and Paths (video)
Euler Circuits and Paths (video)
Euler Path Solutions (Algorithm) (video)
Pathuku (game)
Eulerize a Graph (video)
Eulerize and Semi-eulerize a Graph (video)
Number of Hamilton Circuits in a Complete Graph (video)
Hamilton Circuits: Brute Force (video)
Hamilton Circuits: Nearest Neighbor (video)
Hamilton Circuits: Repeated Nearest Neighbor (video)
Hamilton Circuits: Sorted Edges (video)
Hamilton Circuits: Cheapest Link (video)
Hamilton Circuits: Nearest Neighbor from a Table (video)
Hamilton Circuits: Cheapest Link from a Table (video)
Trees in Graph Theory (video)
Redundancy in a Network Graph (video)
Kruskal's Algorithm: Minimum Spanning Tree (video)

Statistics with Technology

Descriptive Statistics in Excel with Data Analysis Tool Pack (video)
Descriptive Statistics in Excel using Formulas (video)
Line Graphs in Excel (video)
Percentiles in Excel (video)
Two-Way Tables (basic) (video)
Basic Linear Regression (video)
Summarizing Categorical Data with Pivot Tables (video)
Making Graphs and Charts in Excel (video)

Statistics supplemental

Sampling Distributions: Introduction to the concept (video)
Standard Error of the Mean (video)
Standard Error for a Proportion (video)
Normal Distribution: Empirical Rule (video)
Normal Distribution: Standard (z) scores (video)
Z-Score: Definition, Interpretation, Calculation (link)
Comparing with Z Scores (video)

 

PDF Graph Paper
Bad Graphs (Convention Speeches)
Visualizing Data Badly: 8 Examples
Correlation is not Causation: orginal article / handout
Presidents by State
How much people lie on surveys
Exploring Correlation and Regression
Central Limit Theorem: with Bunnies and Dragons
How Many Ways Can You Arrange a Deck of Cards?
Free Online Math Courses
How to Tell if Correlation Implies Causation
Reliability and Validity
In wake of uproar over Facebook’s emotional manipulation study, bioethics scholars say new rules are 'moral imperative'
Combinations and Permutations Calculator
How the Nocebo Effect can Trick us into Actually Dying
Desmos Lessons for AP Statistics
Stem and Leaf Plot Generator
PhET Simulations
EdReady
Pathuku

Other similar courses (liberal arts math) that I've taught

 

 
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Last updated: 2015 August 12th