Learning Outcomes

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The textbook content, assignments, and assessments for Mathematics for Liberal Arts are aligned to the following learning outcomes. See the list of detailed learning outcomes here: Detailed Learning Outcomes: Math for Liberal Arts Corequisite.

Module 1: Historical Counting Systems

  • Review topics needed for success in Historical Counting Systems
  • Convert between our number system and early counting systems
  • Convert numbers between different bases

Module 2: General Problem Solving

  • Review topics needed for success in General Problem Solving
  • Apply proportional relationships to problems involving rates, money, or geometry
  • Design a pathway for solving complex multi-step problems

Module 3: Measurement

  • Review topics needed for success in Measurement
  • Make calculations and solve application problems involving units of measurement
  • Convert measurements between metric units and U.S. customary units

Module 4: Graph Theory

  • Review topics needed for success in Graph Theory
  • Describe the elements of a graph
  • Find Euler and Hamiltonian paths and circuits within a defined graph

Module 5: Fractals

  • Review topics needed for success in Fractals
  • Understand fractal shapes and the scaling dimension relation
  • Use complex numbers to generate terms in a recursive relation

Module 6: Theory and Logic

  • Review topics needed for success in Set Theory and Logic
  • Use proper set notation and Venn diagrams to depict set relations and operations
  • Create truth tables to interpret statements and conditionals
  • Evaluate arguments using logical inference, truth tables, and Venn diagrams

Module 7: Voting Theory

  • Review topics needed for success in Voting Theory
  • Determine the winner of a race utilizing various types of voting methods
  • Evaluate the fairness of the approval voting method

Module 8: Growth Models

  • Review topics needed for success in Growth Models
  • Make calculations and predictions using recursive and explicit equations for both linear and exponential growth
  • Use the properties of logarithms to solve problems involving logistic growth

Module 8QR: Modeling Growth

  • Review topics needed for success in Modeling Growth
  • Use a spreadsheet to create scatterplots and analyze trendlines
  • Perform linear regression and make calculations on data from real-world situations
  • Perform exponential regression and compare with linear regression

Module 9: Finance

  • Review topics needed for success in Finance
  • Calculate interest rate, time, initial deposit, and total balance of both simple and compound interest situations
  • Calculate interest rate, time, balance, payouts, payments, and initial amounts of both annuities and loans

Module 9QR: Financial Literacy

  • Review topics needed for success in Financial Literacy
  • Use both simple and compound interest equations to compare various real world savings options
  • Analyze annuity and loan options by calculating the outcomes of various real-world examples

Module 10: Statistics: Collecting Data

  • Review topics needed for success in Collecting Data
  • Identify the various aspects of data collection
  • Examine the methods for sampling and experimentation and how bias can affect the results

Module 11: Statistics: Describing Data

  • Review topics needed for success in Describing Data
  • Create and analyze different types of graphs to represent a specific data set
  • Summarize a set of numerical data by reporting various measurements

Module 11QR: Statistical Thinking

  • Review topics needed for success in Statistical Thinking
  • Use spreadsheets to explore measurements of data sets

Module 12: Probability

  • Review topics needed for success in Probability
  • Calculate the probability of individual and overlapping events in a variety of problems
  • Solve counting problems by using permutation and combination equations