Math 101

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Math 101

• Mathematics for Management Students

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Course Description

• Math 101 Mathematics and Statistics for
  Management Sciences I
• Lecturer Dr. Ahmed Mostafa, ahmed.mahmoud_at_guc.edu
  .eg
• My Office C5.301-Left

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Course Description

• Office Hours I will wait for you each Sunday
  and Monday 3rd slot, But you are welcome to drop
  on me at any time.
• Course Schedule              
• Group I  Sunday 4th slot in H12 Tuesday 2nd
  slot in H12
• Group II Sunday 2nd slot in H12 Tuesday 3rd
  slot in H13 

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Course Description

• Assessment System
• Homework Assignments and Class-work (15)
•    Quizzes 15 (Best two out of three)
•    Final 70

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Course Material

• Intranet
• V\Faculties\Math\2009_Fall\M101 Management
• Internet
• http//math.guc.edu.eg/math101
• Text Book
• Calculus (An Applied Approach), 6th edition,
  Larson and Edwards, Houghton Mifflin, 2003

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Objectives

• By the end of the semester, we should be able to
• Deal with real finance and economic problems, and
  formulate them into mathematical models.
• Solve the resulting models using the mathematical
  tools of calculus.

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Objectives

• Also by the end of the semester, we should NOT
  get swine flow?

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Part 0

• The real number line R

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Lecture Objectives

• By the end of this lecture, we should be able to
• Know the different types of numbers
• Find the distance between points on the real
  line.
• Deal with absolute values
• Solve inequalities

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Why Mathematics?

• You will answer this questions after finishing
  this course or even during it ?

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NumbersNatural Numbers
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NumbersInteger Numbers
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NumbersRational Numbers
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NumbersRational Numbers
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NumbersProperties of rational numbers
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Example 1
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NumbersIrrational Numbers
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The Real Numbers and the Real Line R
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The Real Line R

• Every Point on the real line represents a real
  number.
• Every real number is represented by a point on
  the real line.

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Open and Closed Intervals
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Graphical Representation
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Solving Inequalities
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Example 2
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Example 2Solution
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Example 2Solution
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Example 2Solution
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Example 2Solution
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Example 2Solution
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Example 3

• Solve the inequalities
• 2x - 5 gt 7
• 4x 1 gt 2x

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Example 4
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Example 4Solution

• Formulation of the mathematical model

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Example 4Solution

• Solving the mathematical model

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Example 5
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Absolute Value
Example
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Properties of Absolute Value
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Distance on the Real Line
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Example 6
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Basic Types of Inequalities Containing Absolute
Values
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Example 7

• Solve the following inequalities

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Example 7Solution

• a
• b

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Example 7Solution

• b

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Example 8
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Example 9
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Example 9Solution
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Bonus Problem

• The revenue for selling x units of a product is
  R 115.95x
• And the cost of producing x units is
• C 95x 750
• For what values of x will this product return a
  profit?

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Points to remember

• Natural numbers
• Integers
• Rational and Irrational numbers
• Real numbers
• The real line R
• Absolute Value
• Inequalities
• It is always possible to formulate a real life
  problem into a mathematical model.