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Contact Information

Phone: 218-726-8747 / 218-726-8254
Fax: 218-726-8399
Undergraduate Studies:
umdmathstat_dus@d.umn.edu
Graduate Studies:
umdmathstat_dgs@d.umn.edu
140 Solon Campus Center (map)
1117 University Drive
Duluth, MN 55812-3000
mathstat@d.umn.edu

Credits: 5

Prerequisites: Math ACT 24 or higher or a grade of at least C- in Math 1005 or dept consent; Credit will not be granted if credit has been received for: 1290, 1296, 1596

Grading: A-F only

Liberal Education Category:
Category Satisfied: CATEGORY TWO: Math, Logic and Critical Thinking
Liberal Education Goals and Objectives: This course introduces students to mathematics essential to business and economics majors. Topics include functions, systems of linear equations, linear programming and the calculus and their role in modeling real-world problems.

Course Description:

This course introduces concepts of mathematics that are applied in various disciplines with an emphasis on the use in business settings. Topics include, but are not limited to: functions, interest and annuities, matrices, graphical and algebraic methods for solving systems of equations and inequalities, linear programming, and an applied introduction to differential and integral calculus.


Text: Mathematics with Applications, Eleventh Ed. Author: Lial, Hugerford, Holcomb.

 

Course Content:

Chapters Sections
2 Graphs, Lines, and Inequalities

2.1 Graphs

2.2 Equations of Lines

2.3 Linear Models

2.4 Linear Inequalities

3 Functions and Graphs

3.1 Functions

3.2 Graphs of Functions

3.3 Applications of Linear Functions

3.4 Quadratic Functions Applications

3.5 Polynomial Functions (Optional)

3.6 Rational Functions (Optional)

4 Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Applications of Exponential Functions

4.3 Logarithmic Functions

4.4 Logarithmic and Exponential Equations

5 Mathematics and Finance

5.1 Simple Interest and Discount

5.2 Compound Interest

5.3 Annuities, Future Value, and Sinking Funds

5.4 Annuities, Present Value and Authorization

6 Systems of Linear Equations and Matrices

6.1 Systems of Two Linear Equations in Two Variables

6.2 Larger Systems of Linear Equations

6.3 Applications of Systems of Linear Equations

6.4 Basic Matrix Operations

6.5 Matrix Products and Inverses

6.6 Applications of Matrices

7 Linear Programming

7.1 Graphing Linear Inequalities in Two Variables

7.2 Linear Programming: The Graphical Method

7.3 Applications of Linear Programming

11 Differential Calculus

11.1 Limits

11.2 One-sided Limits and Limits Involving Infinity

11.3 Rates of Change

11.4  Tangent Lines and Derivatives

11.5 Techniques for Finding Derivatives

11.6 Derivatives of Products and Quotients

11.7 The Chain Rule

11.8 Derivatives of Exponential and Logarithmic Functions

 

12 Applications of Derivatives

12.1 Derivatives and Graphs

12.2 The Second Derivative

12.3 Optimization Applications

13 Integral Calculus

13.1 Antiderivatives

13.2 Integration by Substitution (Optional)

13.3 Area and the Definite Integral

13.4 The Fundamental Theorem of Calculus

13.5 Applications of Integrals

14 Multivariate Calculus (Optional)

14.1 Functions of Several Variables

14.2 Partial Derivatives

 

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Last modified on 08/27/12 02:45 PM
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