#### Syllabus: Quantitative Methods for Decision Making (Math 115)

Learning Objectives:

To understand and apply the following mathematical concepts in the field of business:

• Algebra and Equations
• Graphs, Lines and Inequalities
• Exponential and Logarithmic Functions
• Basics of the Mathematics of Finance
• Systems of Linear Equations and Matrices
• Linear Programming
• Basics of Differential Calculus (time permitting)

Textbook: Lial, Margaret L.; Hungerford, Thomas W.; and Holcomb, Jr., John P.;

Mathematics with Applications (Third Edition) Third Custom Edition for York College Pearson Custom Publishing

ISBN: 0-0536-44173-1

• All students are expected to participate in the learning experience
• All exams are equally weighted Outline of Topics

Chapter 1

Algebra and Equations
Real numbers, polynomials, factoring, rational expressions, exponents and radicals, first-degree equations, quadratic equations. Chapter 1 Summary and Review, Case study 1.

Chapter 2

Graphs, Lines, and Inequalities
Graphs, equations of lines, linear models, linear inequalities, polynomial and rational inequalities. Chapter 2 Summary and Review, Case Study 2.

Chapter 3

Functions and Graphs
Functions, graphs of functions, applications of linear functions, quadratic functions, applications of quadratic functions, polynomial functions, rational functions, Chapter 3 Summary and Review. Case Study 3.

Chapter 4

Exponential and Logarithmic Functions
Exponential functions, applications of exponential functions, logarithmic functions, logarithmic and exponential equations. Chapter 4 Summary and Review. Case Study 4.

Chapter 5

Mathematics of Finance
Simple interest and discount, compound interest, future value of an annuity and sinking funds, present value of an annuity and amortization. Chapter 5 Summary and Review. Case Study 5.

Chapter 6

Systems of Linear Equations and Matrices
Systems of linear equations, The Gauss-Jordan method, basic matrix operations, matrix products and inverses, applications of matrices. Chapter 6 Summary and Review. Case Study 6.

Chapter 7

Linear Programming
Graphing linear inequalities in two variables, linear programming: The Graphical Method, applications of linear programming, The Simplex Method: Maximization, maximization applications. The Simplex Method: Duality and Minimization, The Simplex Method: Nonstandard Problems. Chapter 7 Summary and Review, Case Study 7.

Chapters 11 & 12

Differential Calculus & Applications of the Derivative
These chapters will be covered as time permits. 