Course Syllabus

BARRY UNIVERSITY COLLEGE OF ARTS AND SCIENCES

 

Course syllabus

Pre-calculus Math for Business MAT 108 (3 credits) Term : Spring 2019

Instructor Name : Guillermo A. Morales, Ph.D. Mail: gmorales@barry.edu

Phone:(305) 899 4860

Office: Garner 209

 

ACADEMIC INFORMATION

Course Description: Equations and inequalities, systems of equations and inequalities, exponential and logarithmic functions and their graphs; vectors, matrices, linear programming.

Prerequisite: MAT 095 or appropriate SAT or ACT Score.

 

Relationship of course to university mission:

This course helps students develop skills in analytical and quantitative reasoning and by teaching mathematical concepts that will be useful in the students’ professional training. Mathematics provides fundamental theories and applications necessary to support “critical analysis of fundamental questions of the human experience” and “meaningful efforts toward social change.” The course explore mathematical topics that emphasize “life-long learning, growth, and development” and the search for “self-sustaining solutions to human, social, economic and environmental problems.”

 

Course Objectives: To attain facilities with mathematical skills and problem solving, which are necessary for applications in business-related courses.

 

Learning Outcomes: At the end of the course, the student should be able to:

 

  1. Solve linear and quadratic
  2. Solve system of linear equations and inequalities in two
  3. Graphing quadratic
  4. Solving problems involving exponential and logarithmic functions.
  5. Perform operations with
  6. Solve linear inequalities in two
  7. Solve problems involving linear

 

Topics: Chapters 0.7 to 7.2 of textbook . Solutions of linear and quadratic equations, functions and graphing functions, solutions of exponential and logarithmic equations, matrices and linear programming.

 

Learning Methods: Lecture and problem-solving. Class participation is expected and encourage. The professor assigns homework at his discretion at the Math Lab, Garner 107. The professor does not give back the homework.

 

Course Requirements: Students are to complete a set of class notes for the course, turn in all assignments. It is the responsibility of the students who has missed a class to find out about missed materials, assignments and possible changes in the attached tentative schedules. Cell phones and beepers are to be turned off. Final exam will be cumulative.

 

 

Grading/Evaluation: 4 partial tests (50%), 7 homework (25%) and cumulative final test (25%)

 

Grading will be based on the following scale:

 

A  93-100

A-  90-92

B+  87-89

B  83-86

B-  80-82

C+  77-79

C   70-76

D    60-69

F     Below 60

 

 

Measures of evaluations: (ongoing feedback to students on their progress) Tests and homework are ongoing measures of the progress of a student. Tests are scheduled roughly once every four week.

 

Text:  Mathematical Analysis for Business, Economics, and the Life and Social Sciences. 13th ed. Author: Ernest F. Haeussler Jr, Richard S. Paul and Richard J. Wood.

 

 

GENERAL INFORMATION

 

Academic Dishonesty Policy: Cheating and Plagiarism

  1. Cheating is defined as the attempt, successful or not, to give or obtain aid and/or information by illicit means in meeting any academic requirements, including
  2. Plagiarism is defined as the use, without proper acknowledgment, of the ideas, phrases, sentences, or larger units of discourse from another writer or
  3. Students are expected to know and abide by the policy as stated in the university catalogue and student

 

Attendance PolicyThe College of Arts and Sciences adheres to the following attendance policy: A total of 6 class hours of absence (includes excused and unexcused absences*) can result in withdrawal with W, WP, or WF if within the designated withdrawal period, or with an automatic F if not. It is the student's responsibility to initiate the withdrawal during the designated withdrawal period. Otherwise, an F will be issued at the end of the term.

 

Learning Disabilities:  Students with documented special learning needs may want to contact the Barry University Office of Accessibility Services 305-899-3489.

 

Student Behavior: All Barry University students are expected to behave according to accepted norms that ensure a climate wherein all can exercise their right to learn. Such norms are set forth in the undergraduate catalog under College of Arts and Sciences Guidelines for Student Conduct and Academic Responsibility.  Please be sure that you have read and understood that section.

No faculty member will tolerate classroom behavior that violates these norms.  Such behavior will be grounds for withdrawal from the class, judicial proceedings, or failure of the course.  If

 

warranted, students engaging in such behavior will be removed from class by security personnel and may be required to undergo counseling.

 

 

 

 

 

 

Tentative Schedule

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Week

Topic

Text                                In-Class Activity

1

Syllabus

Linear equations

Chapter 0.7                    Solving problems and HW1 due to end of week

2

Continuation Chapter 0.7 Quadratic equations. Appli- cations

Chapters 0.8 and 1.1      Solving       problems.

HW2    due   to    next monday

3

Linear  inequalities.  Applica- tions

Chapter 1.2                    Solving         problems. HW3 due to Friday. Quiz1

4

Continuation 1.2. Functions

Chapter 2.1                    Review for 1st test .

(from 0.7-1.2).

1st test.

Solving problems.

5

Domain of functions. Ope- rations with functions. Symmetries of graphs

Chapters 2.2, 2.3 and   Solving problems.

2.6                                  HW 4 due to friday

6

Graphing by transfor- Mations. Lines

Chaptrs  2.7,  3.1  and   Solving       problems.

3.2                                  HW5. Quiz 2.

7

Continuation of lines. Quadratic equations.

Chapters 3.1 3.2             Review 2nd test (2.1

And 3.3                          -3.2.

Solving problems 3.3

8

Systems of linear equations. Determinants

Chapter 3.4                    Solving problems.

9                            Cont. 3.4

 

 

10

Exponential functions. Domain and range. Graphs

Chapter 4.1 and 4.2                 Solving problems.

Hw6

 

Base >1 and <1

Solving problems

 

Logarithmic function. Domain and range

Solving problems

11

Properties of Logs

Chapter 4.3                    Solving problems.

HW7

12

 

13

Exponential and logarithmic equations

Matrices. Operations with Matrices. Adding matrices

Chapter4.4                     Solving problems.

HW7

Chapter 6.1 and 6.2        Solving problems

Review 4th test

 

 

 

 

 

blems  view 3rd

 

 

 

and  multiplication  by  a  real number.

 

 

14

Multiplication of two matrices

Chapter 6.3

Solving problems HW8

15

Continuation of 6.3

 

Problems

16

Linear Programming. Review for final test

 

 

 

 

 

 

 

GENERAL EDUCATION/DISTRIBUTION ASSESSMENT CHART

 

MATHEMATICS

 

Course:           MAT 108 Pre Calculus for Business  

 

 

 

 

 

Mathematics Learning Goals

 

1.       To develop habits of analytical thought and problem-solving and to appreciate the beauty and the contribution of mathematics as part of human culture.

2.       To help students improve their ability to present oral and written communications of mathematical proofs, applied problems and computer-related work through assignments and class presentations.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Outcome(s)/Assignment

 

To assess these goals students will demonstrate achievement of the following Distribution/General Education Learning Goals for mathematics

1. to develop habits of analytical thought and problem-solving through knowing the fundamental concepts (Trait 1), applying the routine procedures (Trait 2), problem-solving (Trait 3) and mathematical reasoning (Trait 4). These traits will be evaluated through a multiple choice examination as part of a final examination on which they are expected to obtain a score of 3 or higher on a scale of 1 to 5.

2.       to appreciate the beauty and the contribution of mathematics as part of human culture, as well as help students improve their ability to present oral and written communications of mathematical proofs, applied problems and computer-related work through assignments and class presentations Trait 5). This trait will be evaluated through a class project that includes reading about mathematical achievements and writing formal proofs steps. The project will be presented to the instructor.

 

Assignment: Students will complete a multiple-choice examination as part of the final examination on which they will demonstrate adequate understanding and performance of the following traits:

1.                      Knowing: representing, recognizing equivalents, recalling mathematical objects and properties, using vocabulary and notation.

2.                      Using  routine  procedures:  using  equipment,  performing routine procedures, using more complex procedures.

3.                      Investigation and problem solving: developing strategy and problem solving.

4.                      Mathematical reasoning: conjecturing, justifying.

 

In order to develop habits of analytical thought and problem- solving.

and

5.      A class project to assess the appreciation of beauty and contribution of mathematics as part of the human culture through oral and

 

 

 

written communications of mathematical proofs, applied problems and computer-related work.

 

 

Satisfactory demonstration of this outcome will be indicated by a score of 3 or higher on the assignment rubric.

 

Rubric

 

The rubric for this assignment is attached.

 

 

Rubric

 

The assessment rubric consists of assigning a score from 1 to 5 to each student per trait. The average score of each student in the test will be obtained as the weighted mean of the student in the five parts of the test assessing the above traits.  The student’s score is interpreted as follows:

 

 

Traits Score

Knowing (Trait 1)

Routine Procedures (Trait 2)

Problem Solving (Trait 3)

Mathematical Reasoning (Trait 4)

Appr. of beauty and contr./oral and written comm.

(Trait 5)

5

Understand the concepts in all areas

Calculate basic procedures in all areas

Solve multiple- step problems in all areas

Use reasoning to solve logical problems in all areas

Demonstrate very eloquently an appreciation of the beauty and contribution of mathematics to real-life situations and mathematical proofs

4

Understand the concepts in most areas

Calculate basic procedures in most areas

Solve multiple- step problems in most areas

Use reasoning to solve logical problems in most areas

Demonstrate eloquently an appreciation of the beauty and contribution of mathematics to real-life situations and mathematical proofs

3

Understand the concepts in many areas

Calculate basic procedures in many areas

Solve multiple- step problems in many areas

Use reasoning to solve logical problems in many areas

Demonstrate sufficiently an appreciation of the beauty and contribution of mathematics to real-life situations and mathematical proofs

2

Understand the concepts in a few areas

Calculate basic procedures in a few areas

Solve multiple- step problems in a few areas

Use reasoning to solve logical problems in a few areas

Demonstrate somewhat an appreciation of the beauty and contribution of mathematics to real-life situations and mathematical proofs

1

Understand limited concepts  in few areas

Calculate limited basic procedures in a few areas

Solve limited multiple- step problems in a few areas

Use limited reasoning to solve logical problems in a few areas

Demonstrate a lack of appreciation of the beauty and contribution of mathematics to real-life situations and mathematical proofs

 

Course Summary:

Date Details Due