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IMA 101 Basic Mathematics

IMA 101 Basic Mathematics. Lecture 15: Midterm Review. Midterm Information. Time and Location: Tuesday August 3, 2010 15:30 – 17:30 PC 401. Things you may bring to the midterm:. Yourself A pencil and eraser A pen (blue/black ink only) One extra pen or pencil

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IMA 101 Basic Mathematics

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  1. IMA 101 Basic Mathematics Lecture 15: Midterm Review IMA101 Basic Mathematics

  2. Midterm Information • Time and Location: • Tuesday August 3, 2010 • 15:30 – 17:30 • PC 401 IMA101 Basic Mathematics

  3. Things you may bring to the midterm: 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

  4. Things you may not bring to the midterm: • 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 IMA101 Basic Mathematics

  5. Cheating • What is considered cheating? • Cheating is: • Communicating with another student during the time of the exam • Using any external resources aside from the permitted single sheet of A4 notes • Looking at or attempting to use another student’s work • Behaving in a disruptive manner during the exam period IMA101 Basic Mathematics

  6. Cheating • 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 IMA101 Basic Mathematics

  7. Cheating Please do not cheat IMA101 Basic Mathematics

  8. Midterm Overview • 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 IMA101 Basic Mathematics

  9. Midterm format • 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 IMA101 Basic Mathematics

  10. Numbers: Lecture 2 • Whole numbers • Operations: • Addition • Subtraction • Multiplication • Division • Order of operations • Prime numbers • Prime factorization • Introduction to exponents IMA101 Basic Mathematics

  11. Numbers: Lecture 3 • Integers • Negative numbers • Ordering numbers • Absolute value • Exponents with integer bases • Rational numbers • Fractions • Equivalent fraction • Simplification • The reciprocal • The least common denominator (LCD) • Operations: • Addition • Subtraction • Multiplication • Division • Order of operations IMA101 Basic Mathematics

  12. Numbers: Lecture 4 • Decimals • Dividing/multiplying by 10 • Rounding • Fractions  decimals • Repeating decimals • Introduction to square roots • Using prime factorization • Operations: • Addition • Subtraction • Multiplication • Division • Order of operations IMA101 Basic Mathematics

  13. Numbers: Lecture 5, 6 • Percents • Percents  fractions • Percents  decimals • Repeating decimals and approximations • percent = amount/ base • Ratios • Proportions • cross-multiplication • Unit conversions IMA101 Basic Mathematics

  14. Weeks 1 & 2 • Number sets • Relationship among them • Order of operations IMA101 Basic Mathematics

  15. Algebra: Lecture 7 • 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 IMA101 Basic Mathematics

  16. Algebra: Lecture 7 • 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 IMA101 Basic Mathematics

  17. Algebra: Lecture 8 • 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 IMA101 Basic Mathematics

  18. Algebra: Lectures 9, 10 • 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 IMA101 Basic Mathematics

  19. Algebra: Lectures 9, 10 • Rational exponents and the nthroot • 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 IMA101 Basic Mathematics

  20. Algebra: Lecture 11 • Polynomials • Distribution and factoring • Special factorizations • Pascal’s triangle and the binomial expansion • Rationals • Properties • simplification • Constraining the variable IMA101 Basic Mathematics

  21. Algebra: Lecture 12 • Polynomial inequalities • Zero factor property and number line • Rational inequality • Don’t multiply by the denominator IMA101 Basic Mathematics

  22. TOPICS 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

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