Transcript IMA 101 Basic Mathematics

IMA 101 Basic Mathematics
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LECTURE 15:
MIDTERM REVIEW
IMA101 Basic Mathematics
7/29/2010
Midterm Information
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 Time and Location:
 Tuesday August 3, 2010
 15:30 – 17:30
 PC 401
IMA101 Basic Mathematics
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Things you may bring to the midterm:
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 Yourself
 A pencil and eraser
 A pen (blue/black ink only)
 One extra pen or pencil
 ONE A4 sheet with whatever notes you want to put
on it (front and back)
 A wrist watch without calculator capabilities
 A clear plastic bottle of water
 English language dictionary
IMA101 Basic Mathematics
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Things you may not bring to the midterm:
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 You are not allowed to use a calculator
 the questions will be designed so that it will not be necessary
 You are not allowed to use your cell phone
 Please bring a wristwatch if you need to check the time
 Food or drink (aside from water)
 The midterm is 2 hours long, please wait until the end of the
midterm to eat or drink
 Notes or books aside from one A4 sheet of paper or a
dictionary
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Cheating
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 What is considered cheating?
 Cheating is:
 Communicating with another student during the time of the
exam
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Using any external resources aside from the permitted single
sheet of A4 notes
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Looking at or attempting to use another student’s work
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Behaving in a disruptive manner during the exam period
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Cheating
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 Why do people cheat?
 Don’t study enough
 Insecurity
 Fall behind on the material
 Worried about not getting a good grade
 What happens if you cheat?
 You will be caught
 You will be expelled from the exam room and not permitted to
complete the exam
 See handbook (read in class)
 You will lose my respect
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Cheating
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 Please do not cheat
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Midterm Overview
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 Questions are based on homework, lectures, and
assigned reading
 Today: topics overview
 Tomorrow 2pm: question/answer session
 Graded assignments will be returned during the Q/A
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Midterm format
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 10 questions
 Similar to what you have seen on the homework
 Some word problems, some calculation, some conceptual
 Divided equally among the topics
 20% of the midterm from each week
 10% from each lecture (lecture 2 included with lecture 3)
 Note: some questions might combine topics
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Numbers: Lecture 2
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 Whole numbers
 Operations:
 Addition
 Subtraction
 Multiplication
 Division
 Order of operations
 Prime numbers
 Prime factorization
 Introduction to exponents
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Numbers: Lecture 3
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 Integers
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Negative numbers
Ordering numbers
Absolute value
Exponents with integer bases
 Rational numbers
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 Operations:
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Addition
Subtraction
Multiplication
Division
 Order of operations
Fractions
Equivalent fraction
Simplification
The reciprocal
The least common
denominator (LCD)
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Numbers: Lecture 4
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 Decimals
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Dividing/multiplying by
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Rounding
Fractions  decimals
Repeating decimals
 Introduction to square
 Operations:
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Addition
Subtraction
Multiplication
Division
 Order of operations
roots
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Using prime factorization
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Numbers: Lecture 5, 6
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 Percents
 Percents  fractions
 Percents  decimals
 Repeating decimals and approximations
 percent = amount/ base
new  original
100  %change
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original
 Ratios
 Proportions
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cross-multiplication
 Unit conversions
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Weeks 1 & 2
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 Number sets
 Relationship among them
 Order of operations
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Algebra: Lecture 7
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 Solving linear equalities
 Isolate terms with the variable
 Multiply to get just the variable
 Using the distributive property
 Using the LCD
 Word problems
 Distance = rate * time
 Equivalent rates
 Earning Interest
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Algebra: Lecture 7
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 Properties of equalities
 Solving linear equalities
 Isolate terms with the variable
 Multiply to get just the variable
 Using the distributive property
 Using the LCD
 Word problems
 Distance = rate * time
 Equivalent rates
 Earning Interest
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Algebra: Lecture 8
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 Properties of inequalities
 Multiplying by a negative
 Solving linear inequalities
 On the number line
 Interval notation
 Linear inequality word problems
 Equalities with absolute value
 Inequalities with absolute value
 Absolute value word problems
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Algebra: Lectures 9, 10
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 Exponent properties (integers and rational n)
 Exponent of one
 Exponent of zero
 Negative exponent
 Product of two exponents (same base)
 Quotient of two exponents (same base)
 Raising an exponent to another exponent
 Distributing the exponent (different bases)
 Fraction shortcut
 Powers to know
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Algebra: Lectures 9, 10
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 Rational exponents and the nth root
 Rationalization (using special factorizations)
 Radicals
 Properties & simplification
 Solving quadratic equations
 Factoring and distributing (FOIL)
 Zero-factor property
 Square root property
 Completing the square
 The quadratic formula
 When no solution exists
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Algebra: Lecture 11
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 Polynomials
 Distribution and factoring
 Special factorizations
 Pascal’s triangle and the binomial expansion
 Rationals
 Properties
 simplification
 Constraining the variable
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Algebra: Lecture 12
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 Polynomial inequalities
 Zero factor property and number line
 Rational inequality
 Don’t multiply by the denominator
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TOPICS
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Number sets:
Whole numbers, integers, fractions, decimals
Operations on numbers (order of operations)
Percents:
Converting to decimals/fractions, solving word problems
Ratios and Proportions
Unit Conversions
Applications
Linear equality and inequality
Applications: rates, DTR, interest rates
Absolute value equalities & inequalities
Applications:
Quadratic equations:
zero factor property, square root property, completing the square, quadratic formula
Integer and rational exponents/radicals:
Simplifying expressions
Polynomials:
factoring with special factorization, binomial expansion
Rationals:
Simplifying rational expressions, operating on them
Polynomial and rational inequalities with +/- number line
IMA101 Basic Mathematics
7/29/2010