Dual Enrollment Program: DE Course 1029
Math 1029 Contemporary Mathematics covers mathematical approaches to practical life problems. Topics include counting techniques and probability, statistics, graph theory, and linear programing.
Topics and Objectives
Section numbers refer to Thinking Mathematically, 8e (Robert Blitzer).
7.1 Introduction to the Rectangular Coordinate System
- Plot points in the rectangular coordinate system
- Graph equations in the rectangular coordinate system
7.2 Graphing Linear Equations
- Use intercepts to graph a linear equation
- Graph horizontal lines
- Graph vertical lines
7.3 Solving Systems for Linear Equations
- Determine whether an ordered pair is a solution of a linear system
- Solve linear systems by graphing
- Solve linear systems by the substitution method
- Solve linear systems by the addition method
7.4 Graphing Systems of Linear Inequalities
- Graph a linear inequality in two variables
- Graph a system of linear inequalities
7.5 Linear Programming
- Use graphs to determine the maximum and minimum of an objective function
- Use linear programming to solve application problems
11.1 The Fundamental Counting Principle
- Use the Fundamental Counting Principle to find the number of possible outcomes
- Understand the concepts involving the Fundamental Counting Principle
11.2 Permutations
- Use the Fundamental Counting Principle to count permutations
- Evaluate factorial expressions
- Use the permutations formula
- Find the number of permutations of duplicate items
- Understand concepts involving permutations
11.3 Combinations
- Distinguish between permutation and combination problems
- Use the combinations or permutations formula to evaluate expressions
- Solve problems involving combinations
- Use combinations, permutations, or the Fundamental Counting Principle to solve problems
- Understand concepts involving fundamentals of probability
11.4 Fundamentals of Probability
- Compute theoretical probability
- Compute empirical probability
- Understand concepts involving fundamentals of probability
11.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations
- Compute probabilities with permutations
- Compute probabilities with combinations
- Understand concepts involving probability
11.6 Events Involving Not and Or; Odds
- Find the probability that an event will not occur
- Find the probability of one event and a second event occurring
- Solve conceptual problems involving probability
- Understand and use odds
11.7 Events Involving And; Conditional Probability
- Find the probability of one event and a second event occurring
- Compute conditional probabilities
- Understand concepts involving conditional probability
11.8 Expected Value
- Compute the expected value
- Use expected value to solve applied problems
- Use expected value to determine the average payoff or loss in a game of chance
12.1 Collecting Data and Organizing Data
- Select an appropriate sampling technique
- Understand and interpret data
- Organize and present data
- Apply estimation techniques to information given by graphs
- Identify deceptions in visual displays of data
- Understand concepts involving sampling, frequency distributions, and graphs
12.2 Measure of Central Tendency
- Determine the mean for the data set
- Determine the median for the data set
- Determine the mode for the data set
- Determine the midrange for the data set
- Interpret graphs, tables, and stem-and-leaf plots to be able to find the mean, median, mode, and midrange
- Understand the concepts involving the measures of central tendency
12.3 Measure of Dispersion
- Determine the range for a data set
- Find the mean, deviation from the mean, and sum of deviations
- Determine the standard deviation for a data set
- Understand concepts involving mean, range, and standard deviation
12.4 The Normal Distribution
- Find scores at a specified standard deviation from the mean
- Use the 68–95–99.7 Rule
- Convert a data item to a z-score
- Solve applied problems involving normal distributions
- Understand concepts involving the normal distribution
12.5 Percentiles and z-Scores
- Understand percentiles and quartiles
- Solve applied problems involving normal distribution
14.1 Graphs, Paths, and Circuits
- Understand relationships in a graph
- Model relationships using graphs
- Understand and use the vocabulary of graph theory
- Understand concepts involving graph theory
14.2 Euler Paths and Euler Circuits
- Understand the definitions of Euler path and Euler circuit
- Use Euler's Theorem
- Use Fleury's Algorithm to find the possible Euler paths and Euler circuits
- Solve problems using Euler's Theorem and Fleury's Algorithm
- Understand concepts involving Euler paths and Euler circuits
14.3 Hamilton Paths and Hamilton Circuits
- Understand the definitions of Hamilton paths and Hamilton circuits
- Find the number of Hamilton circuits in a complete graph
- Understand and use weighted graphs
- Use the Brute Force Method to solve traveling salesperson problems
- Use the Nearest Neighbor Method to approximate solutions to traveling salesperson problems
- Understand concepts involving Hamilton paths and Hamilton circuits
14.4 Trees
- Understand the definition and properties of a tree
- Find the spanning tree for a connected graph
- Find the minimum spanning tree for a weighted graph
- Solve applications using properties of a tree
Syllabus & Pacing Guide
| Name | Last Modified |
|---|---|
| S26 Math 1029 DE Syllabus.docx [docx] | 2025-12-10 |
| S26 Math 1029 DE Pacing Guide.docx [docx] | 2025-12-10 |
Course Profile
| Name | Last Modified |
|---|---|
| Math 1029 Contemporary Math COURSE PROFILE 11-18-2025 [docx] | 2025-12-10 |