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 SHAW UNIVERSITY

College of Arts and Sciences

Department of Natural Sciences and Mathematics

 MAT110 (3 credit hours) SPR 2011

Basic Mathematics

Prerequisite:  None

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Instructor: Simon N. Ugwuoke, Ph.D.                            Office Location: Robert Science, Room 122

Email: sugwuoke@shawu.edu                                                      Phone: (919) 546-8543                                  

Office Hours: TBA                                                       Faculty Website: http://faculty.shawu.edu/sugwuoke

                     

                         

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 include 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.

Gen. 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.

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 science/ mathematics; physical science; and allied health professions for which course syllabi specify expected student learning outcomes.

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

3.        Students will demonstrate a multidisciplinary perspective.

Course Description

This is a University Core Course in Mathematics taken by Freshmen. In this course, the student learns the operations in arithmetic and algebra in the context of applications to problem solving. Topics on critical thinking skills, systems of numeration, number theory, percentage, application problems on Business, installment loans, mortgage payments are covered in this course, which trains the students in analytical thinking and problem solving.. This course is the first of a three-sequence study in college mathematics.

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 as effective teachers in a diverse world.

Student Learning Outcomes

Student Learning Outcomes

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

Assessment of Student

 Learning Outcomes

(Assessment Tools)

Linkage to Program Learning Outcomes (PLO)

1. Solve problems using deductive and inductive reasoning.

Tests, Quizzes, Homework, and Comprehensive Final Exam

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2. Produce counterexamples to show that a conjecture is wrong.

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3. Check if the answer to a problem is “reasonable” using estimation techniques.

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4. Solve word problems using Polya’s problem-solving procedures

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5. Express counting numbers in Egyptian, Babylonian, and Roman numerals and express them in the decimal notation.

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6. List the distinguishing characteristics of systems of numeration that are additive or positional.

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7. Write numerals in decimal notation (base 10) in the expanded form.

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8. Convert a numeral in any base other than 10 to a base 10 numeral by using the expanded form

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9. Convert between binary, octal and hexadecimal systems.

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10. Identify systems of numeration other than base 10 which we encounter in everyday life.

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11. Add, subtract, and multiply in base 2

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12. Decide if a set is closed with respect to a binary operation.

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13. Identify commutative and associative properties of a given binary operation and use the distributive property to simplify multiplication. (For example 74 ´ 101 = 74(100 + 1)).

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14. Determine if a natural number ( >1) is prime or composite.

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15. Determine if a number is divisible by 2, 3, or 5 by inspection.

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16. Write the prime factorization of a given number.

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17. Find the G.C.D. and L.C.M. of a given set of numbers.

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18. Add, subtract, multiply and divide integers and rational numbers.

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19. Express a terminating or a non-terminating repeating decimal as a quotient of two integers.

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20. Express very large or very small number using the rules of exponents and scientific notation.

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21. Identify an irrational number as a non-terminating and non-repeating number.

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22. Find a rational and irrational number between two given rational numbers.

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23. Perform the basic algebraic operations with radicals.

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24. Classify sequences (arithmetic, geometric, and Fibonacci) and the sum of numbers which are in these sequences.

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25. Convert percentages to fractions and decimals and vice versa

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26. Solve problems involving simple interest, and compound interest

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

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28. Calculate monthly payment on a mortgage, personal loans

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Required Textbook & Resources:

 

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

               Edition, Addison-Wesley, 2009  

Technology:

                MY MATH LAB with MATH XL (Online Homework Assignment Tool at www.coursecompass.com)

                BLACKBOARD (Lecture Notes and Assignments)

Expectations:

Individual and Group Class Participation

Regular Class Attendance

NO CALCULATORS WILL BE ALLOWED ON IN-CLASS QUIZZES OR TESTS

 

Topic Outline:

Chapter 1: Critical Thinking Skills : Inductive reasoning - Estimation - Problem Solving (Sections 1.1 to 1.3), (NCATE 5.6, 5.12), (NCDPI Core 2.2, 2.8), (NCDPI Div 2.2).

 Chapter 4: Systems of Numeration : Additive and multiplicative systems of numeration - Place-value or Positional - value numeration systems - Other bases - Computation in other bases. (Sections 4.1 to 4.4), (NCATE 5.1, 5.2).

 Chapter 5: Number Theory and the Real Number System: Number Theory - The Integers - The Rational numbers - The Irrational numbers and the Real Number System - Real Numbers and their properties - Rules of exponents and Scientific notation - Arithmetic and Geometric sequences - Fibonacci sequence. (Sections 5.1 to 5.8), (NCATE 5.3, 5.4, 5.5, 5.7).

Chapter 11: Consumer Mathematics - Percent - Personal loans and interest - Compound Interest - Installment buying – Mortgage. (Sections 11.1 – 11.5). (NCDPI Tech 2.1, 3.2, 3,3).

Course Evaluation:

Assignment

Percentage of Final Grade

Quizzes/Homework/Attendance

30%

Tests

40%

Comprehensive Final Examination

30%

Total

100 %

The following grading scale will be used: A = 90-100; B = 80-89; C = 70-79; D = 60-69; F = 59 and below.

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 behavior (i. e., 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.  Students will turn off telephones 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.