MATH107A

Summarize the relationship between time and money.

Describe the similarities and differences among the processes of approval, selection, and election.

Explain how credit cards, loans, savings, and investments work.

Define probability as a measure of likelihood and use the [0, 1] convention.

Use various tables and internet calculators to find loan payments.

Construct truth tables (with up to three statements) for the AND, OR, NOT operators.

Use various tables and internet calculators to find the future values of one-time and regular investments.

Construct and interpret vertex-edge graphs based on adjacency, proximity, or other given properties.

Calculate lifetime interest on loans and the long-term cost of recurring debt.

Quantify the effects of delaying saving and the effects of delaying spending.

Compare and contrast the long term effects of various financial decisions.

Explain what constitutes plurality, majority, consensus, dissent, unanimity, and fairness.

Apply a variety of voting methods and strategies to given ballot data.

Apply multiple algorithms for apportionment to given population data

Describe inherent flaws in voting systems.

Describe inherent flaws in apportionment algorithms.

Assess biases associated with common voting and apportionment methods.

Apply basic probability rules to discrete events.

Use Venn diagrams and correct vocabulary, such as mutually exclusive.

Employ proper counting techniques to compute probabilities assuming equally likely outcomes.

Compute the expected value of a game of chance with discrete outcomes.

Analyze how probability is used in the marketplace, especially with regard to driving history, credit scores, etc.

Distinguish between discrete and continuous situations.

Apply algorithms to weighted graphs to find minimal spanning trees and shortest (or cheapest) routes.

Write converses, inverses, and contrapositives of implications (or conditionals.)

Construct weighted graphs from maps and other route or cost information.

Construct truth tables (with up to three statements) for complex logical operations, including XOR.

Compute the number of edges and degrees of vertices in common graphs, including trees and complete graphs.

Recognize relationships in graphs and determine whether claims about graphs are valid.

Assess the validity of arguments by constructing truth tables.

Identify and explain contradictions and tautologies.

Distinguish between Hamilton paths and Euler circuits in graphs.

Explain the concept of implication (or conditional.)

Use simple theorems to determine whether or not given graphs contain Hamilton paths and Euler circuits.

Quantify the difference between if and if and only if statements.