23 Nov 2007 - Venn Diagram and Set Operations

Online Help

1. Who is Mr. Venn?
2. Definition of Venn Diagram
3. Venn Diagram and Set Notation
4. Survey of Venn Diagram
5. Set Operations and Venn Diagrams
6. Me Talking Out Loud

Reaction Paper in Math - Really?

Assignment 2:

Read any paper/journal/publication about fear in mathematics, math phobia, anxiety in mathematics and post them here...  You can use any of the readings that i've posted at the right frame of this page.

Mag ila2x sa ta!

Dear students, welcome to my class.... yeheyyyyy...

My expectations from you --- please attend to our classes regularly (4-530 WF), study in advance and spend at least an hour a day to practice solving mathematical problems, expect a quiz every meeting (whew, hope i don't sound so demanding :), and if you have questions, please raise them in the class .... 

Now, its my turn to ask you the following:

Using your initials, please introduce yourself, your place of origin or where did you grow, where did you finish your high school years, and what course are you taking now.

Second, tell me about your plan in life.  Who do you want to be in the future?

Third, please state your expectations from this class.  How would you like the subject matter to be delivered?  What do you think are the best approaches to teach mathematics so it can be can be understood easily?  

Sets and Real Numbers

What is a set?

1. http://searchsecurity.techtarget.com/sDefinition/0,,sid14_gci333100,00.html
   
2. http://en.wikipedia.org/wiki/Set
   

Set Notation

1. http://www.purplemath.com/modules/setnotn.htm
   
2. http://www.brighton-webs.co.uk/maths/sets.asp

Course General Outline

MATH 11 - COLLEGE ALGEBRA

Time: 04:00-05:30 PM, WF (Sem 2, SY 07-08)

Course Description:  Sets, real numbers, radicals and rational exponents, linear equation and inequalities, quadratics, systems of equations and functions

Course Objectives: Upon completion of the course, the student should be able to:

1. Perform set operations
   
2. Identify and use the properties of real numbers
   
3. Simplify and perform operations on algebraic expressions
   
4. Determine the roots of linear and quadratic equations and inequalities
   
5. Solve systems of equations and inequalities
   
6. Translate word problems into mathematical symbols and find their solutions
   
7. Find the domain and range of functions and their inverses
   
8. Sketch graphs of functions and relations
   

Course Outline

I.  Sets and real numbers

• Set Notation/Relations/Operation
  
• The Set of Real Numbers and some of its subsets
  
• Equality and field axioms of the set of real numbers
  
• Properties of addition and multiplication, and the order axiom
  
• Subtraction and Division in the Set of Real Numbers
  
• Order and Completeness for the set of real Numbers
  
• One dimensional coordinate system
• 1st Long Exam

II. Algebraic Expression

• Introduction to Algebraic Expressions
  
• Product and Quotient of Polynomials
  
• Special Product
  
• Factoring
  
• Equivalent Fractions and Sums and Differences of Rational Expressions
  
• Products and Quotients of Rational Expressions
  
• Exponents and Radicals
  
• Operations with Radicals
  
• 2nd Long Exam

III.  Equations and Inequalities

• Linear Equations
  
• Quadratic Equations
  
• Equation Involving Radicals
  
• Equation in Quadratic Form
  
• Polynomial Equation
  
• Systems of Equation
  
• Exponential Equations
  
• Applications
  
• Linear Inequalities
  
• Quadratic Inequalities
  
• Inequalities involving Absolute Value
  
• 3rd Long Exam

IV. Functions and Relations

• Coordinate Systems
  
• Distance Formula/Midpoint/Slope
  
• Types of Functions and their graphs; linear, quadratic and exponential
  
• Operations on functions
  
• 4th Long Exam

Final EXAM

Main Reference:  Leithold, L. College Algebra and Trigonometry

Grading System:

Total = (LE1 + LE2 + .. + LEn + TQ)/(n+1)*80% + FE*20%
TQ = Total Quizzes (%)

Grading Scale:

00 - 54 = 5.00
55 - 59 = 3.00
60 - 63 = 2.75
64 - 68 = 2.50
69 - 73 = 2.25
74 - 78 = 2.00
79 - 83 = 1.75
84 - 88 = 1.50
89 - 93 = 1.25
94 -100 = 1.00

Course Policies

1. You are encouraged to attend all class sessions.
   
2. Quizzes will be given on a regular basis.
   
3. Excessive absences (20% of class meetings or 8meetings) means a final grade of 5.0  
   
4. No special quizzes for being absent for any reason.
   
5. Special long exam will be given only for excused absences.