Math 100: General Applied Mathematics

QATAR UNIVERSITY COLLEGE OF ARTS AND SCIENCE DEPARTMENT OF MATH, STAT AND PHYSICS MATH PROGRAM Math 100: General Applied Mathematics Course Syllabus Course Information Course Title General Applied Mathematics Course Number Math 100 Credit Hours: 3 hours Prerequisites Foundation Math Contact Hours Class meetings: 3 hrs per week, Lab: 0 hours per week. Lecture days and Sun– Tue-Thu: 8:00 – 8:50 Female time C201 female Class Room

Semester spring 2010 Semester Start Feb , 21st , 2010 Date Last day of classes June, 3th , 2010 Final Exam Day 5/6/2010 Number of weeks 15 weeks

Text Book & References Title Introductory Mathematical Analysis for Business, Economics, and the Lif2 Sciences, Authors Earnest Haeussler, Richard Paul, & Richard Wood Publisher Pearson Year 2006 Edition 12th Edition 1.College Algebra, John W. Coburn. 2. Pre Calculus, J. Douglas Faires & James Defranza References

1 MATH 100 Hazem khalfallah

Faculty Information Instructor Lazhar Mesbahi Department Mathematics, Statistics and Physics Office Location D 216 Males Building Office phone 2184 Sun 11:00B-12:00 Office Hours Mon – Wed: 12:15-13:00 Room SA210

E-mail [email protected]

Course Description(from Qatar University Website) This course is designed to introduce the students with basic mathematical knowledge. The first part of the course will be about sets in general, then we will talk about the set of real numbers, fractions and integers. Then we will cover the following topics: equations, inequalities, Matrices, functions and finally some basic Statistics.

Course Aim General Mathematics approaches specific mathematical skills through a range of applications that clearly demonstrate the need for, and use of, Math in our daily tasks.

Course Objectives 1. Evaluate algebraic expressions where the variables represent rational numbers

2. Simplify algebraic expressions, solve linear equations, translate expressions into algebraic equations. 3. Solve applications factor polynomials of the form ax2 + bx + c where a > 1. Solve quadratic equations by factoring and by utilizing the Quadratic Formula.

4. Simplify expressions containing exponents,Simplify rational expressions that contain variables in the denominator,Solve rational equations, Plot ordered pairs of numbers, Graph, Write the second root of a number in simplified form, 5. . Solve a system of two equations in two variables utilizing the substitution and elimination methods. 6. lines by plotting x- and y-intercepts and utilizing the slope-intercept form. Construct the y = mx + b equation of a line given a point and the slope; Matrices-Addition – Subtraction and multiplication,findind inverses Basic concepts in statistics.

Student Learning Outcomes(SLOs): Upon successful completion of Math 100, the student should be able to:

1. Identify polynomials and classify them by degree.

2. Simplify algebraic expressions using the laws of exponents.

3. Perform the operations of addition, subtraction, multiplication and division of polynomials.

4. Identify the greatest common factor of a polynomial and factor the greatest common factor out of the polynomial.

5. Identify common group factors of a polynomial and utilize the method of group factoring to factor the polynomial.

6. Identify trinomials in quadratic form and factor them using a variety of methods, including special formulas.

7. Identify rational expressions, identify restrictions on the variables contained in rational expressions, and reduce rational expressions.

8. Perform the operations of addition, subtraction, multiplication and division of rational expressions.

9. Solve equations involving rational expressions. Solve application problems by representing the given information as a rational equation then solving the rational equation.

10. Identify radical expressions involving square roots, identify restrictions on the variables contained in radical expressions involving square roots, and simplify radical expressions involving square roots.

11. Perform the operations of addition, subtraction, multiplication, and division of radical expressions involving square roots.

12. Identify quadratic equations and write them in standard form.

13. Solve quadratic equations by factoring, extraction of roots, and the quadratic formula.

Solve application problems by representing the given information as a quadratic equation, then solving the quadratic equation

Week # Dates Topics to be covered

Week 1 Feb. 21-25 Introduction to sets, subsets, properties of sets

Week 2 Feb.28- Operations on sets, Venn diagram, Natural Numbers, Rational March 4 Numbers, Real Numbers. Week 3 March 7-11 Properties of real numbers, fractions addition, subtraction, multiplication and division. Week 4 March 14- Long division, factorization, simplifying roots 18 Week 5 March 21- Equations, Linear Equations 25 First exam March 27 (at 10:00)

Week 6 March 28- Quadratic equations, Factorizing Quadratic equations April 1 Week 7 April 4-8 Special equations-Rational equations, Linear inequalities

Week 8

Week 9 April 18-22 Mapping-image set, Functions-domain and range, Linear functions, graph of linear functions Week 10 April 25-29 Quadratic functions, Rational functions: Graph and domain

Week 11 May 2-6 Matrix: properties and operations on matrices

Second exam May 8

Week 12 May 9-13 Matrix multiplication, Determinant

Week 13 May 16-20 System of linear equations- Cramer’s Rule

Week 14 May 24-27 Matrix, Continued. Types of data, data collection Week 15 May 30- Data collection, frequency table, mean, median, range, mode. June 3 Final exam June 5

4 MATH 100 LAZHAR MESBAHI

Learning Resources & Media

 Class meetings with expected participation and discussion.  Assignments and quizzes.  Extensive use of blackboard to present most of the class material- class notes, assignments, syllabus, assignments, exams solutions, etc.  Office hours: -three hours in the math staff room female campus or by appointment -six hours in my office B216 in the male campus or by appointment

 calculator and Computer: Each student will need a calculator and access to the internet to complete homework assignments and print off notes.

. Assessment Policy and Tools This course will be assessed by exams, assignments, quizzes, active participation during lectures: Assessment Type Day Date Time Weight First Exam Saturday 27/03/2010 10:00-12:00 25% Second Exam Saturday 8/05/2010 10:00-12:00 25% Final Exam Saturday 05/06/2010 8:00-10:00 35% Assignments 4 Class time 15%

Sum 100%

Assessment Policy

Grades for the course will be assigned as follows: A B+ B C+ C D+ D F 60- 90-100 85-89.9 85-89 75-79.9 70-74.9 64-69.9 59.9-0 64.9

Exams, Assignments and Quizzes Instructions  All exams are closed book and notes  Work independently Exams  You should expect different types of questions: multiple choice, True or False and essay questions

Final exam The final exam is comprehensive (covers all the material). Incomplete Incomplete exams need excuse (illness or any other unfortunate exams consequence, certified). Students presentations are expected from the student ( last week ) Presentation Quizzes 3 – 4 quizzes each consists of one written question In-Class Students will be required to work either independently, or in groups, to complete assignments during class time. These assignments are to Assignments make sure they understand the main concepts before we proceed. Exams Date and First and second: will be coordinated with all Math 100 students Time Final: scheduled by the university Prohibited; and in case of cheating the student will be subject to Cheating punishment according to the university regulations. The instructor has the right to fail the coursework or deduct marks where plagiarism is detected Keep them out of sight and turned off. No cell phones during Cell Phones exams. Bring your Calculator  assignments should be worked independently. Exchanging ideas are permitted orally but don't require any kind of copying. Assignments  assignment should be submitted in organized way and any late assignments may be assessed and corrected but the grade will be zero

Attendance AND Withdrawal Compulsory. According to the university policy: “if the student misses more than 25% of the classes –excused and unexcused- he Attendance will not allowed to take the final exam and will fail the course with a final grade of “F”. Students are expected to be punctual (every 3 late class arrivals will Late Arrival be counted as 1 class absence) in class attendance. Withdrawal The last day to withdraw a course with a grade “W” is Wednesday 22/04/2010.

Taking Notes: Writing and Watching

It is important to take notes during class. It is particularly important to make detailed notes as problems similar to those you'll be doing for homework are worked in class. That way, you can refer to your notes for help if you forget how to complete a solution to a homework problem. It is also important to watch, without taking notes, as a problem is worked from start to finish. That way, you'll be certain that you know and understand all steps necessary for a complete solution. You should take notes for all problems introduced during the classroom discussion, use these notes to do your homework before the next class meeting, and then watch, without taking notes, as solutions to homework problems are presented at the beginning of the next class meeting.

Often I will utilize whiteboard pens of different colors. For example, when solving an equation, I will often use one color to write the equation and another color to do the "same thing" to both sides of the equation. In this manner, the necessary steps in a problem's solution are emphasized. Therefore, you may find it helpful to use at least two colors when taking notes. That way, if you mimic my use of color, you will quickly remember and more fully understand the steps utilized in a solution when you later use your notes to do your homework or study for an exam.

Class meetings ( lectures): feel free to ask any question related to the material presented in the class during the class time. Office hours: I encourage you to ask or discuss any ambiguity in the ideas or exercises in the predetermined office hours or by appointment or via the blackboard

Plagiarism and cheating If you are caught cheating on a test or on the final examination, you will receive a score of zero points for that examination and appropriate disciplinary action will be taken. Plagiarism includes the following examples and it applies to all student assignments or submitted work:  Use of the work, ideas, images or words of someone else without his/her permission.  Use of someone else's wording, name, phrase, sentence, paragraph or essay without using quotation marks.  Misrepresentation of the sources that were used.

Success Checklist

If you are not doing as well as you'd like in the course, ask yourself the following questions:

"Am I getting to class on time?"

"Am I attending every class meeting?"

"Am I taking notes for one problem and then watching, without taking notes, as a similar problem is explained?"

"Am I completing my homework before the next class meeting?"

"If I am not able to complete my homework before the next class meeting, am I getting extra help (from the instructor, a classmate, a tutor, Student Success Center, etc.)?"

"Am I reading the text sections to be covered at the next class meeting before attending that meeting?"

“Am I spending at least 3 hours outside of class (doing homework, reading the text, studying class notes, getting help from the instructor or a tutor) for every hour spent inside the classroom?”

“Am I using materials from the previous course to help refresh my knowledge?”

If the answer to any of these questions is "no", your performance should improve as you change each "no" to a "yes"!

NOTE: Save all materials from this course (text, class notes, homework, tests, test solutions) for use in the next course

Important Dates - Spring 2010

Date Activity

Thursday 11-2-2010 Last day to apply for re-enrollment (Spring 2010)

Thursday 18-2-2010 Last day to apply for an incomplete grade (Fall 2009)

Sunday 21-2-2010 First day of classes of (Spring 2010)

Thursday 25-2-2010 End of Registration, add and drop for (Spring 2010)

Thursday 4-3-2010 Last day to change an incomplete grade (Fall 2009)

Sunday 4-4-2010 Start of early Registration for (Summer & Fall 2010)

Thursday 22-4-2010 Last day to withdraw from a course in (Spring 2010)

Thursday 6-5-2010 Last day withdraw from semester (Spring 2010)

Thursday 3-6-2010 Last day of classes of (Spring 2010)

Sunday 6-6-2010 Start of Final Exams of (Spring 2010)

Thursday 17-6-2010 End of Final Exams of (Spring 2010)