SHAW UNIVERSITY

College of Arts and Sciences

Department of Natural Sciences and Mathematics

MAT 111 (3 credit hours) SPR.2011 (PRE:MAT 110 or Placement)

GENERAL MATHEMATICS I

_____________________________________________________________________________________________________________________

Instructor Dr.Simon N.Ugwuoke       Office: Robert Science Bldg

Email: sugwuoke@shawu.edu             Research Wing, RM 122

Office Hours: TBA              Phone:(919) 546-8543(O); 612-6864(C)

                         

    

General Education/Core Curriculum Mission Statement

 

The mission of General Education or the Core Curriculum at Shaw University is to provide students with a broad-based knowledge of the liberal arts and sciences, technological skills, and critical thinking skills.  It also stresses character development.  In compliance with the SACS requirement, it consists of “a minimum of 30 semester hours, drawn from and including at least one course from each of the following areas: humanities/fine arts, social/behavioral sciences, and natural science/mathematics.  General Education or the Core Curriculum will be delivered in an interactive setting in order to promote positive engagement among students, faculty, and staff; increase coherence of the General Education program, and enhance student persistence at the University.

 

General Education Program Goals

 

The goal of the General Education program that pertains to the Mathematics Unit is:

To ensure that students possess a breadth of knowledge and skills through integrated study of coursework in various disciplines.

 

General Education  Program Learning Outcomes

 

  1. Students will gain knowledge of the liberal arts and sciences from 42-68 credit hours (depending on the major) of General Education/ Core Curriculum integrated courses in the humanities/fine arts, social/behavioral sciences, natural sciences/mathematics, physical sciences, and allied health professions for which course syllabi specify expected student learning outcomes.

 

  1. Students will demonstrate their skills in reading, writing, critical thinking, mathematics, and science.

 

  1. Students will demonstrate a multidisciplinary perspective.

 

 

 

Conceptual Framework Theme

 

To produce graduates who are critical-thinking problem solvers with the knowledge, pedagogical and technological skills, and professional dispositions needed to function productively and effectively in a diverse world.

 

Course Description

 

This is a University Core Course in Mathematics taken by Freshmen.  Students in this course are expected to have successfully completed or placed out of MAT 110. The students in this course are introduced to functions, graphs, linear inequalities, matrices, linear programming, the metric system, and geometry. The students are trained in critical thinking and problem solving skills to be applied to real world situations like mortgage, credit card interests and other topics. This course is the second of a three- sequence study in college mathematics.

 

Student Learning Outcomes

 

Student Learning Outcomes ( SLO)

 

After completing this course successfully, the students will able to do the following:

Program Learning Outcomes ( PLO) link to SLO

Assessment of Student Learning Outcomes

(Assessment Tools)

1. Solve two variable inequalities algebraically and graphically.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

2. Solve for a specified variable from a given formula.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

3. Solve quadratic equations by factoring and by formula.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

4. Evaluate  linear, quadratic, and exponential functions at given points.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

5. Sketch the graphs of the above functions.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

6. Solve word problems using the above techniques.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

7. Solve 2x2 systems of linear equations algebraically, graphically, and using row reduction of matrices.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

8. Solve systems of linear inequalities graphically

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

9. Apply these techniques and linear programming to solve application and optimization problems.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

10. Change from one metric unit to another metric unit.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

11. Determine length, area, and volume using metric units.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

12. Determine mass and temperature using metric units.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

13. Change from metric units to the customary system.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

14. Identify angles, vertical angles, parallel lines, and use their properties

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

15. Compute areas and perimeters of polygons and plane figures.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

16. Apply Pythagorean principle to compute lengths and areas.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

17. Compute volumes of solids.

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

18. Convert percentages to fractions and decimals and vice versa

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

19. Solve problems involving simple interest, and compound interest

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

20. Calculate the Annual Percentage Rate (APR) on a loan

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

21. Calculate monthly payment on a mortgage, personal loans

# 1, 2, and 3

Exams, Quizzes, Homework, & Comprehensive Final

 

 

Required Textbook & Technology Resources:

Text:Angel, A. R., Abbott, C. D. and Runde, D.C.-A Survey of Mathematics with Applications, Expanded Eight Edition, Addison-Wesley, 2009.

 

MyMathLab(Online Homework Assignment Tool at www.coursecompass.com);

BLACKBOARD (Lecture Notes, Practice, Quizzes, and Assignments)

 

Other Technology/Non-Technology Resources(Useful, but not required):

PcCalculator, Graphing Calculator, Internet Mathematics-related Links; Graphing Paper & Ruler.

 

Student Expectations

Individual and Group Class Participation; Regular Class Attendance.

 

 

Topic Outline:

 

Chapter 6: Algebra, Graphs, and Functions:  Linear inequalities in two variables - Solving quadratic equations by factoring and using formula - Functions and graphs. (Sections 6.8  to 6.10) (NCATE 5.7, 5.11).  (NCDPI Core 2.2, 2.8), (NCDPI Div 2.2).

 

Chapter 7: Systems of Linear Equations and Inequalities - Matrices - Solving systems using matrices) - Systems of linear  inequalities Linear programming.   (Sections 7.1 to 7.6), (NCATE 5.8), (NCDPI Core 2.2, 2.8), (NCDPI Div 2.2), (NCDPI Tech 2.1, 3.2, 3,3).

  

Chapter 8: The Metric System – Basic Terms and Conversions within the Metric System – Length, Area, and Volume – Mass and Temperature – Dimensional Analysis and Conversions to and from the Metric System. (Sections 8.1 to 8.4) (NCATE 5.8).

 

Chapter 9: Geometry - Points, lines and angles - Polygons - Perimeter and Area - Volume. (Sections 9.1 to 9.5) (NCATE 5.13, 5.14, 6.1)

 

 

Course Evaluation:

 

Assignment

Percentage of Final Course Grade

Quizzes, Homework, Attendance, & Participation

30 %

Tests

40 %

Comprehensive Final Examination

30 %

Total

100 %

 

Grading Scale:

The following grading scale will be used. However, grading on a pseudo-curve may be used, depending on the general performance of students, and other circumstances, in consideration of fairness, meaningfulness, and validity. In general, no make-ups for tests and quizzes will be given, unless there is some proof of extra-ordinary circumstances.

 

90 - 100

A

80 - 89

B

70 - 79

C

60 - 69

D

59 or less

F

 

 

 Attendance Policy:

 

Students who miss classes are responsible for subject matter covered, any announcements made regarding quiz, test or any other relevant matter, during their absence.  More than 3 (if class meets 3 times a week ) or 2 (if class meets 2 times a week ) unexcused absences may result in failure in the course.  You are responsible to find out or know about any announcements or the subject matter covered, during your absence.

 

Student Classroom Decorum Expectations:

 

To enhance the learning atmosphere of the classroom, students are expected to dress and behave in a fashion conducive to learning in the classroom. More specifically, students will refrain from disruptive classroom behaviors, e.g. talking to classmates, disrespectful responses to teacher instructions; swearing; wearing clothes that impede academic learning, such as, but not limited to, wearing body-revealing clothing and excessively baggy pants; hats/caps, and/or headdress . No food or drinks will be allowed inside the classroom or lab. Students will turn off their cell phones prior to entering the classroom.

 

Students who exhibit the behaviors described above, or similar behaviors will be immediately dismissed from class at the third documented offense. The student will be readmitted to class only following a decision by the department chair. The student may appeal the decision of the department chair to the Dean of the College offering the course, and, subsequently, to the Office of the Vice President for Academic Affairs, and then to the President of Shaw University. The decision of the President will be final. Failure to follow the procedures herein outlined will result in termination of the appeal, and revert to the decision of the department chair.

 

Each behavior construed by the teacher/professor as noncontributive to learning will be recorded, properly documented, and appropriately reported to the student and to the chair of the academic department offering the course. The report will be in written form with a copy provided to both the student and the department chair. The faculty member should retain a copy for his/her own records.

 

Additional student behavior codes may be found in Student Affairs.