College of Science and Health

Department of Mathematics

Course Outline

 

1.

Title of Course, Course Number and Credits:

Algebra and Geometry with Applications – Math 111                                        3 credits

2.

Description of Course:

This is a course with emphasis on studying practical problems with mathematical models. Topics include: Problem solving, number theory, introduction to functions and modeling, systems of equations and matrices, exponential and logarithmic functions, linear inequalities in two variables and geometry.

 

3.

Course Prerequisites:  

 Mathematics 110 – Contemporary Mathematics

4.

Course Objectives:  

Students are provided with all skills necessary to:

  1. Develop techniques for converting application problems into a mathematical mode using equations, inequalities, functions, etc.
  2. Use algebraic techniques to solve linear and other mathematical models (including those presented by matrices) on their own and with the aid of the computer.
  3. Use algebraic techniques to solve quadratic, exponential, and logarithmic mathematical models.
  4. Use methods and tools (e.g. computers and/or calculators) to understand the theory trough experimentation and interpretation.
  5. Understand concepts in Euclidean Geometry and solve practical problems using geometric techniques.

 

5.

Student Learning Outcomes. Students will be able to :

  1. Effectively express themselves in written and oral form on contemporary issues in mathematics;
  2. Demonstrate ability to think critically about issues related to mathematics in contemporary issues;
  3. Locate and use information related to questions of mathematics in every day life;
  4. Demonstrate ability to integrate knowledge and ideas of mathematics in a coherent and meaningful manner;
  5. Work effectively with others, using mathematics, to discuss and contemporary issues.
  6. Student taking this course will also be able to:
    1. Evaluate, graph and identify important features of linear and quadratic functions;
    2. Perform matrix arithmetic;
    3. Solve systems of linear equations using various methods;
    4. Communicate an understanding of the topics on written exams as well as orally, through class participation and group projects;
    5. Interpret and solve problems requiring geometric arguments.

 

6.

Topical Outline of the Course Content:

 

1.

The Number System

1.1  Number Theory

1.2  The Whole Numbers and the Integers

1.3  The Rational Numbers

1.4   Decimals

1.5  Rational Numbers as Decimals

1.6  The Real Numbers

1.7  Radicals *

1.8  Number Sequence*

2  weeks

 

2.

Equations, Inequalities, and Problem Solving

2.1 Solutions of First-Degree Equations

2.2 Graphs of Algebraic Equations

2.3 Sentences Involving Absolute Value

2.4 Quadratic Equations

2.5 Modeling and Problem Solving

3 weeks

 

3.

Functions and graphs

3.1 Graphing Relations and Functions

3.2 Linear Functions and Relations

3.3 Equations of Lines

3.4 Quadratic Functions and Their Graphs

3.5 Exponential and Logarithmic Functions

3.6 Two Linear Equations in Two Variables

3.7 Linear Inequalities

3.8 Linear Programming*

3 weeks

 

4.

Geometry

4.1 Points, Lines, Planes, and Angles

4.2 Triangles and Other Polygons

4.3 Perimeter and Circumference

4.4 Area Measure and the Pythagorean Theorem

4.5 Volume and surface Area

3 weeks

 

5.

Matrices

5.1 Matrices and Matrix Operations

5.2 Solving Systems of Linear Equations with Matrices

2  weeks

 

 

*Optional

 

7.

Guidelines/Suggestions for Teaching Methods and Student Learning Activities:

Lectures and classroom discussions supplemented by use of computers and/or calculators.

8.

Guidelines/Suggestions for Methods of Student Assessment (Student Learning Outcomes)

Through periodic written examinations along with assigned problems and group projects.

9.

Suggested Reading, Texts and Objects of Study:

Bello, I. and Britton, J. R., Topics in Contemporary Mathematics (custom published), Houghton Mifflin Co.

10.

Bibliography of Supportive Texts and Other Materials:

Johnson, L.M. and Steffensen, A.R., Intermediate Algebra, 3rd edition, Harper/Collins, 1994

11.

Preparer’s Name and Date:

Prof. D. Miller,  Fall 1994

12.

Original Department Approval Date:

Fall 1994

13.

Reviser’s Name and Date:

Prof. B. Hewitt, Sp. 2000

Prof. S. Maheshwari, fall 2000

Profs Zeleke, Lim and Rosar, Summer 2001

UCC - Fall 2004

14.

Departmental Revision Approval Date: