SHAW UNIVERSITY
MAT 110 – Basic Mathematics, Fall 2008
COURSE OUTLINE
| Instructor: Simon Ugwuoke | |
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Office Location: Graphics Room 4 | |
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Phone:546-8543 | |
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E-mail:sugwuoke@shawu.edu | |
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Office Hours: MWF: 9:00 AM - 11:00 AM | |
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T,Th: 9:00 AM - 9:30 AM; 12:00 N - 2:00 PM | |
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OR By Appointment | |
| Text: Allen R. Angel, Christine D. Abbott, & Dennis C. Runde - A Survey of Mathematics with Applications, Eighth Edition, Copyright (C) 2009 Pearson Education, Inc. |
General 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
After completing this course successfully, the students would have acquired the
following:
Chapter 1: 1.1 – 1.3
Use deductive and inductive reasoning to solve problems.
Produce counterexamples to show that a conjecture is wrong.
Use estimation techniques to check if the answer to problem is “reasonable”.
Solve word problems using Polya’s problem-solving procedures.
Chapter 4: 4.1 – 4.4
Express counting numbers in Egyptian, Babylonian, and Roman numerals and express
them in the decimal notation.
List the distinguishing characteristics of systems of numeration that are
additive or positional.
Write numerals in decimal notation (base 10) in the expanded form.
Convert a numeral in any base other than 10 to a base 10 numeral by using the
expanded form.
Convert between binary, octal and hexadecimal systems.
Identify systems of numeration other than base 10 which we encounter in everyday
life.
Add, subtract, and multiply in base 2
Chapter 5: 5.1 – 5.8
Determine if a set is closed with respect to a binary operation.
Identify commutative and associative properties of a given binary operation and
use distributive property to simplify multiplication. (For example 74 101 =
74(100 + 1)).
Determine if a natural number ( >1) is prime or composite.
Determine if a number is divisible by 2, 3, or 5 by inspection.
Write the prime factorization of a given number.
Find the G.C.D. and L.C.M. of a given set of numbers.
Add, subtract, multiply and divide integers and rational numbers.
Express a terminating or a non-terminating repeating decimal as a quotient of
two integers.
Use rules of exponents and Scientific notation to express very large or very
small numbers.
Identify an irrational number as a non-terminating and non-repeating number.
Find a rational and irrational number between two given rational numbers.
Perform the basic algebraic operations with radicals.
Classify sequences (arithmetic, geometric, and Fibonacci) and the sum of numbers
which are in these sequences.
Chapter 6: 6.1 – 6.7
Understand the use of variables in algebra, and simplify and evaluate
expressions.
Solve one variable linear equations algebraically.
Solve one variable inequalities algebraically and graphically.
Solve for a specified variable from a given formula.
Chapter 7: 7.1 –7.2
Solve systems of two linear equations in two variables by substitution method,
addition method, and graphically.
Solve systems of linear inequalities graphically.
Apply the technique of linear programming to solve optimization problems.
Topic Outline:
Chapter 1: Critical Thinking Skills : Inductive reasoning - Estimation - Problem
Solving (Sections 1.1 to 1.3), (NCATE 5.6, 5.12).
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)
Chapter 7: Systems of Linear Equations and Inequalities –
Systems of linear equations- Solving systems of equations by the substitution
and addition method. (Sections 7.1 – 7.2), (NCATE 5.8)
Grading
Attendance,
Quiz/Homework 30% of final grade
Tests 40% of final grade
Comprehensive final 30% of final grade
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.