SHAW UNIVERSITY
College of Arts and Sciences
Department of Natural Sciences and Mathematics
MAT110 - 3 (3 credit hours) Spring 2009
Basic Mathematics
Prerequisite: None
Class Time: MWF 10:00 - 10:50 Class Room: TUP 205
Instructor: Do Yeong Shin Office Location: TUP 103
e-mail: dyshin@shawu.edu Telephone: 919-546-8232
Office Hours: MW 08:30 - 08:50, 11:00 - 11:50
TTh 09:30 - 11:50
Other Times by Appointment
Important Dates: (The following dates could be flexible.)
Last Day to Withdraw From University: February 4, 2009
Last Day of Classes: April 30, 2009
Final Exams: May 4 – 7, 2009
Program Goal
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, graphs, and systems of linear equations are covered in this course, which trains the students in critical and analytical thinking. This course is the first of a three-sequence study in college mathematics.
Student Learning Outcomes
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After completing this course successfully, the students will able to do the following: |
Program Learning Outcomes link to SLO |
Assessment of Student Learning Outcomes (Assessment Tools) |
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Solve problems using deductive and inductive reasoning. |
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Exams Quizzes & Worksheets Homework |
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Produce counterexamples to show that a conjecture is wrong. |
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Exams Quizzes & Worksheets Homework |
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Check if the answer to a problem is “reasonable” using estimation techniques. |
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Exams Quizzes & Worksheets Homework |
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Solve word problems using Polya’s problem-solving procedures |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Express counting numbers in Egyptian, Babylonian, and Roman numerals and express them in the decimal notation. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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List the distinguishing characteristics of systems of numeration that are additive or positional. |
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Exams Quizzes & Worksheets Homework |
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Write numerals in decimal notation (base 10) in the expanded form. |
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Exams Quizzes & Worksheets Homework |
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Convert a numeral in any base other than 10 to a base 10 numeral by using the expanded form |
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Exams Quizzes & Worksheets Homework |
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Convert between binary, octal and hexadecimal systems. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Identify systems of numeration other than base 10 which we encounter in everyday life. |
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Exams Quizzes & Worksheets Homework |
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Add, subtract, and multiply in base 2 |
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Exams Quizzes & Worksheets Homework |
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Decide if a set is closed with respect to a binary operation. |
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Exams Quizzes & Worksheets Homework |
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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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Exams Quizzes & Worksheets Homework |
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Determine if a natural number ( >1) is prime or composite. |
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Exams Quizzes & Worksheets Homework |
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Determine if a number is divisible by 2, 3, or 5 by inspection. |
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Exams Quizzes & Worksheets Homework |
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Write the prime factorization of a given number. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Find the G.C.D. and L.C.M. of a given set of numbers. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Add, subtract, multiply and divide integers and rational numbers. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Express a terminating or a non-terminating repeating decimal as a quotient of two integers. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Express very large or very small number using the rules of exponents and scientific notation. |
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Exams Quizzes & Worksheets Homework |
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Identify an irrational number as a non-terminating and non-repeating number. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Find a rational and irrational number between two given rational numbers. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Perform the basic algebraic operations with radicals. |
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Exams Quizzes & Worksheets Homework |
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Classify sequences (arithmetic, geometric, and Fibonacci) and the sum of numbers which are in these sequences. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Understand the use of variables in algebra, and simplify and evaluate expressions. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Solve linear equations in one variable algebraically. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Solve inequalities in one variable algebraically and graphically. |
# 1, 2, and 3 |
Exams Quizzes & Worksheets Homework |
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Solve for a specified variable from a given formula. |
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Exams Quizzes & Worksheets Homework |
Required Textbook & Resource:
Text: Angel, A. R., Abbott, C. D. and Runde, D. C - A Survey of Mathematics with Applications, Expanded Eight Edition, Addison-Wesley, 2009
MY MATH LAB with MATH XL
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 6: Algebra, Graphs, and Functions: Order of operations - Linear equations in one variable - Formulas - Applications of Linear equations in one variable - Linear inequalities - Graphing linear equations - Linear inequalities in two variables (Sections 6.1 – 6.7), (NCATE 5.7, 5.11)
Test #1 Wednesday, February 11, 2009
Test #2 Wednesday, March 11, 2009
Test#3 Wednesday, April 8, 2009
Final Exam The University Schedule
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Percentage of Final CourseGrade |
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Quizzes/Homework |
30% |
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Tests / Class Participation |
40% |
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Comprehensive Final Examination |
30% |
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Total |
100 % |
It is student's responsibility to turn in the assigned homework on due date. Late homework will be lowered 10 points per day. No homework will be accepted after the solutions are given. If you fail to turn in the assigned homework on due date because of your obligation to the university, your personal illness and your immediate family member's illness, you should attach the university excuse to your homework to avoid the penalty described above.
Tests 30% of final grade
Class Participation (Instructor's Decision) 10% of final grade
Comprehensive final 30% of final grade
It is student's responsibility to take each test on the announced date. If you cannot take the scheduled test on the announced date because of your own reasons, use my e-mail (dyshin@shawu.edu) to leave your name, course name, acceptable reason(s) by the instructor and the time you can makeup the test. Makeup test must be arranged in no more than 5 working days from the date the test is given, and the time must not hinder with the instructor’s daily schedule. Otherwise makeup test will not be given. When you miss the final exam, there will be NO makeup.
Grading Scales: Ten-point scale
The instructor reserves the right to alter the percent distribution and/or the grading scale in determining the final grades if the change will help the grades of the class as a whole.
Some time during the semester you have to complete a Student Evaluation ( on line ) of your instructor.
This may earn you some extra points .
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 are not allowed to bring food or drinks inside the class room 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 non-contributive 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.