# Math 150 - Discrete Mathematics for Business and Social Sciences

## Course Coordinator

Jun Pan (panjun66@iastate.edu)

## Catalog Description

MATH 150. Discrete Mathematics for Business and Social Sciences.
(2-1) Cr. 3. F.S.SS. Prereq: Satisfactory performance on placement exam, 2 years of high school algebra, 1 year of high school geometry
Linear equations and inequalities, matrix algebra, linear programming, discrete probability. Either MATH 104 or MATH 150 may be counted toward graduation, but not both.

## Textbook

Barnett
Finite Mathematics
ISU Custom Edition, bundled with MyMathLab Plus access code
ISB3: 9781256310082

## Syllabus

Times are suggested based on a 15-week semester, allowing 4 weeks for days for catch-up, review and exams.

All exams (including the final exam) are done online in a computer lab. They can be taken any time before the given deadline, at the students' convenience.

Chapter & Sections Topics Time
Appendix A - Basic Algebra Review 1 week
§§ A1, A2, A5, A6, A7
Chapter 1 – Linear Equations and Graphs 0.5 weeks
§§ 1.1, 1.2
Chapter 2 – Functions and Graphs 1.5 weeks
§§ 2.1 – 2.5
Chapter 3 – Mathematics of Finance 1 week
§§ 3.1, 3.2
Chapter 4 – Systems of Linear Equations; Matrices 2 weeks
§§ 4.1 – 4.6
Chapter 5 – Linear Inequalities and Linear Programming 1 week
§§ 5.1 - 5.3
Chapter 6 – Linear Programming: Simplex Method 1 week
§§ 6.1 - 6.3
Chapter 7 – Logic, Sets, and Counting 0.5 weeks
§§ 7.2 – 7.4
Chapter 8 – Probability 1.5 weeks
§§ 8.1 - 8.5
Chapter 11 – Data Description and Probability Distributions 1 week
§§ 11.1-3

## Objectives

### Review of Some Algebra (Appendix A)

• Sets: Set notation, union, intersection, complement
• Polynomials: Add, subtract, multiply, expand and combine terms
• Integer Exponents and Scientific Notation: Rules of working with integer powers; convert from standard to scientific notation and back
• nth Roots of Real Numbers and Rational Exponents and Radicals: Converting between root notation and fractional power notation; practice the rules of working with powers

### Functions and Graphs

• Concept of a function, graph of a function, domain and range
• Graphs and Transformations: What do the graphs of some elementary functions look like [straight lines, absolute value function, simple powers and roots]; horizontal and vertical shifts, contractions or dilations, reflection in x-axis or y-axis; piecewise defined functions
• Lines: Slope, intercept, point-slope form, slope-intercept form, finding line through two points, applications
• Quadratic Functions:  Find vertex and intercepts
• Polynomial and Rational Functions: For polynomials, the possible shapes of the graph, specifically the number of intercepts and turning points it can have. For rational functions,  the domain and vertical and horizontal asymptotes.
• Exponential Functions: Properties and graphs, natural exponential function ex,  application to compound interest
• Logarithmic Functions: Definition, properties, applications on investment

### Applications of Exponential Functions and Logarithmic Functions

• Simple Interest
• Compound Interest
• Continuous Compound Interest

### Systems of Linear Equations

• Graphical method
• Substitution method
• Elimination method
• Augmented Matrix method
• Inverse Matrix method: Definition of matrix, matrix addition, subtraction, multiplication, inverse matrix

### Linear Programming

• Inequalities: Properties, interval notation, solving linear inequalities
• The Simplex Method
• Dual Problems

### Elementary Probability and Statistics

• Basic Counting Principles
• Permutations and Combinations
• Sample Spaces, Events, and Probability
• Union, Intersection, and Complement of Events
• Conditional Probability, Intersection, and Independence
• Bayes' Formula
• Random Variable, Probability Distribution, and Expected Value

### Data Description and Probability Distributions

• Graphing Data
• Measures of Central Tendency
• Measures of Dispersion

## Old Exams

Exams are computer-generated, and different for every student. There are no old exams.

## Official Math Department Policies

The Math Department Class Policies page describes the official policies that all instructors have to follow. It covers rules on make-up exams, cheating, student behavior, etc.

## Students With Disabilities

If you have a documented disability and require accommodations, you should obtain a Student Academic Accommodation Request (SAAR) from the Disability Resources office (Student Services Building, Room 1076, 294-6624 or TDD 294-6335, disabilityresources@iastate.edu or accommodations@iastate.edu). Please contact your instructor early in the semester so that your learning needs may be appropriately met.