Dual Enrollment Program DE Course: Math 1029 Contemporary Mathematics

Primarily for students in liberal arts and social sciences.

Math 1029 Contemporary Mathematics covers mathematical approaches to practical life problems. Topics include counting techniques and probability, statistics, graph theory, and linear programing.

This is an LSU Integrative Learning Core (ILC) course that awards general education credit.

Note: Math 1029 is designed for fine arts, liberal arts, political science, communication studies, and most social science majors. It covers topics that students on these career paths will need such as interpreting statistics, understanding probability, using graph theory to model efficient pathways, and solving sales problems with linear programming. Topics may vary. This course is taught in the spring semester and should be preceded by Math 1100 in the fall semester. Students can use the same MyLab Math access code for both courses in this sequence.

Course Details

High School Code: 160350 Discrete Math
Louisiana Common Course Numbering: CMAT 1204 The Nature of Mathematics
Number of Credit Hours: 3
Course Offered: Fall
Student Prerequisite: Student must meet one of the three options for BOR student eligibility listed in the LSU DE Catalog.
Teacher Prerequisite: Teacher must complete summer training prior to the school year in which the course is planned to be taught.

Topics and Objectives

Chapter and section numbers refer to Thinking Mathematically, 8th edition

7.1 Introduction to the Rectangular Coordinate System

(19 exercises)

Plot points in the rectangular coordinate system
Graph equations in the rectangular coordinate system

7.2 Graphing Linear Equations

(17 exercises)

Use intercepts to graph a linear equation
Graph horizontal lines
Graph vertical lines

7.3 Solving Systems of Linear Equations

(32 exercises)

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

(24 exercises)

Graph a linear inequality in two variables
Graph a system of linear inequalities

7.5 Linear Programming

(16 exercises)

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

(27 exercises)

Use the Fundamental Counting Principle to find the number of possible outcomes
Understand concepts involving the Fundamental Counting Principle

11.2 Permutations

(35 exercises)

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

(27 exercises)

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 combinations

11.4 Fundamentals of Probability

(46 exercises)

Compute theoretical probability
Compute empirical probability
Understand concepts involving fundamentals of probability

11.5 Probability with the Fundamental Counting Principle, Permutations and Combinations

(23 exercises)

Compute probabilities with permutations
Compute probabilities with combinations
Understand concepts involving probability

11.6 Events Involving Not and Or; Odds

(50 exercises)

Find the probability that an event will not occur
Find the probability of one event or a second event occurring
Solve conceptual problems involving probability
Understand and use odds

11.7 Events Involving And; Conditional Probability

(44 exercises)

Find the probability of one event and a second event occurring
Compute conditional probabilities
Understand concepts involving conditional probability

11.8 Expected Value

(12 exercises)

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

(33 exercises)

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 Measures of Central Tendency

(45 exercises)

Determine the mean for a data set
Determine the median for a data set
Determine the mode for a data set
Determine the midrange for a data set
Interpret graphs, tables, and stem-and-leaf plots to be able to find the mean, median, mode and midrange
Understand concepts involving measures of central tendency

12.3 Measures of Dispersion