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Welcome! Traditional College Algebra Spring 2013

Welcome! Traditional College Algebra Spring 2013. Class website: www.math.ksu.edu/math100. Things you need to complete BEFORE next Thursday, January 24 th :. Purchase your iclicker and register it properly if you already haven ’ t. Download the course syllabus from the class website

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Welcome! Traditional College Algebra Spring 2013

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  1. Welcome! Traditional College AlgebraSpring 2013 Class website: www.math.ksu.edu/math100

  2. Things you need to complete BEFORE next Thursday, January 24th: • Purchase your iclicker and register it properly if you already haven’t. • Download the course syllabus from the class website • Download the list of course homework problems • Purchase correct text and TI 83 or TI 84 graphing calculator • Write down on your calendar/planner the exam dates and FINAL exam date; there are no make-ups. • Booking airline tickets to go home on/before MAY 15th is NOT a reason to reschedule or miss the final. Please re-schedule your travel plans if you’re planning to leave before or on MAY 15th.

  3. EXAM DATES • Tuesday February 5;   7:15pm-8:15pm • Tuesday March 5; 7:15pm-8:15pm • Tuesday April 9; 7:15pm-8:15pm • Wednesday May 15th;   (Final Exam) 6:20pm-8:10pm NO MAKEUPS; if there is a documented personal emergency you must present us with a letter from the office of student life, then we average the other two exams for the missed one; you CANNOT miss the final exam.

  4. EXAMS • Exam rooms will be posted on our website within 1 week. • BRING YOUR WILDCAT ID to the examination. THIS IS MANDATORY

  5. GRADING • Book homework: 100 points; due Tuesdays at 6pm in the homework cubbies in CW Hall; turn in according to your recitation instructor. • ONLINE homework; 100 points; due Tuesdays at 8AM • 3 tests; 100 points each • Final exam 150 points • Iclicker Correctness – 50 points • Recitation: 50 points

  6. Homework Guidelines • In PENCIL • NO RIPPED EDGES ON PAPER • Write YOUR NAME; YOUR RECITATION INSTRUCTOR NAME; Problem #’s, and time of your recitation class at the top right-hand corner. • STAPLE. • Failure to follow these directions will result in a loss of points.

  7. LATE HW POLICY • NO LATE HW IS ACCEPTED. • However, I will drop the lowest 2 book assignment scores and the lowest 2 online hw scores at the very end of the semester. Please do not asked when these will be dropped, I will remember to drop them!! • TEST SCORES WILL NOT BE DROPPED.

  8. GRAPHING CALCULATOR • TI 83/84 Plus • TI 85/86 okay • CANNOT HAVE TI 89/92 or anything with a QWERTY keyboard or CAS

  9. K-State Online • You can see how many points you received on each assignment on K-State online. • We take all the curves into account at the end of the semester; these will not be shown in KSOL.

  10. Contact Info • Rekha Natarajan, Coordinator • rekha@math.ksu.edu • Phone: 532-3023 • Office Hours: Tuesday, 12:30-1:20. And by appointment. • Carlos Castillo-Garsow • cwcg@k-state.edu • Office Hours: Tuesday/Thursday after class

  11. 6 How many numbers do you see?

  12. 737 How many numbers do you see?

  13. How many numbers do you see?

  14. How many numbers do you see?

  15. How many numbers do you see?

  16. One number One number One number One number One number

  17. One number One number One number One number One number The number is the result of the calculations Each result has a single place on a number line

  18. The number is the result of the calculations Each result has a single place on a number line

  19. Type of Numbers • Natural Numbers 1,2,3,4,5,6,… • Whole Numbers 𝕎 0,1,2,3,4,5,6,... • Integers …-3,-2,-1,0,1,2,3,… • Rational Numbers any integer/integer • Irrational Numbers 𝕀 any # not rational • Real Numbers whole number line (any decimal)

  20. Categorizing numbers “2 is an element of N” means 2 is a natural number. “1.5 is NOT an element of N” means 1.5 is NOT a natural number. “N is a subset of Z” means every natural number is also an integer. “Z is NOT a subset of N” means there is AT LEAST one integer that is NOT a natural number (ex: -3)

  21. Which of the following statements is true? • The natural numbers are a subset of the real numbers. • The rational numbers are a subset of the irrational numbers. • The integers are a subset of the natural numbers. • The real numbers are a subset of the rational numbers. • The irrational numbers are a subset of the integers.

  22. Which of the following statements is true? • The natural numbers are a subset of the real numbers. • The rational numbers are a subset of the irrational numbers. • The integers are a subset of the natural numbers. • The real numbers are a subset of the rational numbers. • The irrational numbers are a subset of the integers. Every natural number has a place on the number line, so every natural number is a real number. The natural numbers are a subset of the real numbers.

  23. Interval Notation 3<x≤7 or (3,7] All real numbers between 3 and 7 including 7, but not 3.

  24. Interval Notation x≤4.6 or (-∞,4.6] All real numbers less than or equal to 4.6

  25. Describe the following set using interval notation: “The set of all real numbers greater than or equal to 14.” a) b) c) d) e) None of these

  26. Describe the following set using interval notation: “The set of all real numbers greater than or equal to 14.” a) b) c) d) e) None of these

  27. Distance between two numbers Distance between a and b

  28. Distance between two numbers Distance between 3 and 7

  29. Exponents • Easiest way: • an means “multiply a by itself n times” • Example: 23=2•2•2=8 • This is all you need to know. The rest you can figure out from this.

  30. Product rule anam=an+m • How do I know? • If I multiply n timesand then I multiply m more times, in total, I’ve multiplied n+m times. • Ex: a2a3=(a•a)(a•a•a)=a2+3=(a•a•a•a•a)=a5

  31. Distributive rule of ^ over * (ab)m=ambm • How do I know? • If I multiply by (ab) m timesand then I multiplied by (a) m times and by (b) m times. • Ex: (ab)3=(ab)(ab)(ab)=(aaa)(bbb)=a3b3

  32. Power rule (an)m=anm • How do I know? • If I multiply n timesand I do THAT m times. Then I’ve made m groups of n, or n*m in total. • Ex: (a2)3=(a2)(a2)(a2)=(aa)(aa)(aa)=a2•3 =(a•a•a•a•a•a)=a6

  33. a0=1 • How do I know? • I don’t. But if I want to keep the product rule, this has to be true. • ana0=an+0=an • ana0=an divide both sides by an • a0=1

  34. a-m=1/am • How do I know? • I don’t. But if I want to keep the product rule, this has to be true. • ama-m=am-m=a0=1 • ama-m=1divide both sides by am • a-m=1/am

  35. Last two rules By using negative exponents

  36. Simplify the following, and write your answer using positive exponents only. a) 12a6b-7 b) 9a6b-7 c) d) e) None of the above

  37. Solution by rules D

  38. Solution by counting D

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