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
