MAT 110 - Math for Liberal Arts

Credits: 3
Lecture Hours: 3
Lab Hours: 0
Practicum Hours: 0
Work Experience: 0
Course Type: Core

The student will begin to think critically by studying logic, sets and statistical reasoning. The student will examine problem-solving and decision-making by studying probability, application of statistical data, modeling, and financial mathematics. The student will become aware of possible abuses of mathematics. Finally the student will understand the broad usefulness of mathematics by studying history of mathematics and application of mathematics in art, music, business and/or politics.
Prerequisite: Minimum ALEKS score of 30% or MAT 064 with a C- or higher or Corequisite of MAT 810 with a minimum ALEKS score of 20%.
Competencies

Apply problem solving and critical thinking skills to various scenarios
1. Use problem solving strategies
2. Develop linear and exponential models
3. Make sense of graphical information
Analyze information using logic and set theory
1. Describe sets using proper notation
2. Correlate between symbols and common language in set theory
3. Use the basic set operations of unions, intersections, and complements
4. Construct Venn Diagrams for basic set relationships
5. Write statements using logic symbols
6. Construct truth tables for basic logic statements
Analyze different historical numerical systems
1. Contrast the use of positional versus place value systems of numeration
2. Interpret different historical number systems
Evaluate mathematics in the arts
1. Identify symmetry and perspective
2. Generalize mathematical patterns in nature
Evaluate mathematical concepts in finance
1. Determine sales and discount price and percent
2. Differentiate between simple and compound interest
3. Find the future value of a savings plan
4. Determine the necessary payments to achieve a savings goal
5. Establish loan installment payments and interest
6. Determine mortgage payments, interest, and closing costs
7. Decide the optimal option in a financial scenario
Use probability to make decisions
1. Define an experiment, outcomes, and sample space
2. Construct the number of outcomes in an experiment using counting methods
3. Find probability for simple events
4. Determine the probability for overlapping and non-overlapping events
5. Determine the probability for independent and dependent events
6. Make sense of expected value
Analyze statistics to make decisions
1. Define different sampling methods
2. Construct tables and graphs to display data
3. Compute various measures of central tendency and variation
4. Relate the normal distribution to probability
5. Examine scatter plots for correlation
Examine various voting and apportionment rules
1. Interpret results from preference ballots
2. Compute results from preference ballots using various methods
3. Establish resource allocation using apportionment methods
Apply graph theory to everyday applications
1. Classify the various parts of a graph
2. Construct networks, circuits, and spanning trees
3. Demonstrate the uses of Hamilton and Euler circuits

Competencies Revised Date: AY2023