1. LECTURE 15: MIDTERM REVIEW IMA 101 Basic Mathematics 7/29/2010 1 IMA101 Basic Mathematics

2. Midterm Information Time and Location:  Tuesday August 3, 2010  15:30 – 17:30  PC 401 7/29/2010 2 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 7/29/2010 3 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 7/29/2010 4 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 7/29/2010 5 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 7/29/2010 6 IMA101 Basic Mathematics

7. Cheating Please do not cheat 7/29/2010 7 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 7/29/2010 8 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 7/29/2010 9 IMA101 Basic Mathematics

10. Numbers: Lecture 2 Whole numbers Operations:  Addition  Subtraction  Multiplication  Division  Order of operations Prime numbers Prime factorization Introduction to exponents 7/29/2010 10 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 7/29/2010 11 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 7/29/2010 12 IMA101 Basic Mathematics

13. Numbers: Lecture 5, 6 7/29/2010 IMA101 Basic Mathematics 13 Percents  Percents  fractions  Percents  decimals  Repeating decimals and approximations  percent = amount/ base  Ratios Proportions  cross-multiplication Unit conversions

14. Weeks 1 & 2 7/29/2010 IMA101 Basic Mathematics 14 Number sets  Relationship among them Order of operations

15. Algebra: Lecture 7 7/29/2010 IMA101 Basic Mathematics 15 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

16. Algebra: Lecture 7 7/29/2010 IMA101 Basic Mathematics 16 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

17. Algebra: Lecture 8 7/29/2010 IMA101 Basic Mathematics 17 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

18. Algebra: Lectures 9, 10 7/29/2010 IMA101 Basic Mathematics 18 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

19. Algebra: Lectures 9, 10 7/29/2010 IMA101 Basic Mathematics 19 Rational exponents and the n th 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

20. Algebra: Lecture 11 7/29/2010 IMA101 Basic Mathematics 20 Polynomials  Distribution and factoring  Special factorizations  Pascal’s triangle and the binomial expansion Rationals  Properties  simplification  Constraining the variable

21. Algebra: Lecture 12 7/29/2010 IMA101 Basic Mathematics 21 Polynomial inequalities  Zero factor property and number line Rational inequality  Don’t multiply by the denominator

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 7/29/2010 22 IMA101 Basic Mathematics