THE PYTHAGOREAN THEOREM

Transcription

1 THE STORY SO FAR

2 THE PYTHAGOREAN THEOREM

3 USES OF THE PYTHAGOREAN THEOREM

4 USES OF THE PYTHAGOREAN THEOREM SOLVE RIGHT TRIANGLE APPLICATIONS

5 USES OF THE PYTHAGOREAN THEOREM SOLVE RIGHT TRIANGLE APPLICATIONS THE STANDARD EQUATION OF A CIRCLE

6 USES OF THE PYTHAGOREAN THEOREM SOLVE RIGHT TRIANGLE APPLICATIONS THE STANDARD EQUATION OF A CIRCLE DISTANCE FORMULA

7 USES OF THE PYTHAGOREAN THEOREM SOLVE RIGHT TRIANGLE APPLICATIONS THE STANDARD EQUATION OF A CIRCLE DISTANCE FORMULA MAGNITUDE OF A VECTOR

8 USES OF THE PYTHAGOREAN THEOREM SOLVE RIGHT TRIANGLE APPLICATIONS THE STANDARD EQUATION OF A CIRCLE DISTANCE FORMULA MAGNITUDE OF A VECTOR ABSOLUTE VALUE OF A COMPLEX NUMBER

9 USES OF THE PYTHAGOREAN THEOREM SOLVE RIGHT TRIANGLE APPLICATIONS THE STANDARD EQUATION OF A CIRCLE DISTANCE FORMULA MAGNITUDE OF A VECTOR ABSOLUTE VALUE OF A COMPLEX NUMBER POLAR COORDINATES

10 TRIGONOMETRIC FUNCTIONS

11 GRAPHS

12 GRAPHS

13 GRAPHS

14

15 SEQUENCES AND SERIES

16 SEQUENCES AND SERIES A SEQUENCE CAN BE THOUGHT OF AS A FUNCTION WITH DOMAIN THE NATURAL NUMBERS.

17 SEQUENCES AND SERIES A SEQUENCE CAN BE THOUGHT OF AS A FUNCTION WITH DOMAIN THE NATURAL NUMBERS. EXPLICIT

18 SEQUENCES AND SERIES A SEQUENCE CAN BE THOUGHT OF AS A FUNCTION WITH DOMAIN THE NATURAL NUMBERS. EXPLICIT RECURSIVE

19 SEQUENCES AND SERIES A SEQUENCE CAN BE THOUGHT OF AS A FUNCTION WITH DOMAIN THE NATURAL NUMBERS. EXPLICIT RECURSIVE SEQUENCE HALL OF FAME

20 SEQUENCES AND SERIES A SEQUENCE CAN BE THOUGHT OF AS A FUNCTION WITH DOMAIN THE NATURAL NUMBERS. EXPLICIT RECURSIVE SEQUENCE HALL OF FAME ARITHMETIC

21 SEQUENCES AND SERIES A SEQUENCE CAN BE THOUGHT OF AS A FUNCTION WITH DOMAIN THE NATURAL NUMBERS. EXPLICIT RECURSIVE SEQUENCE HALL OF FAME ARITHMETIC GEOMETRIC (HOW MANY PEOPLE DID IT TAKE TO MAKE YOU!!!)

22 SEQUENCES AND SERIES A SEQUENCE CAN BE THOUGHT OF AS A FUNCTION WITH DOMAIN THE NATURAL NUMBERS. EXPLICIT RECURSIVE SEQUENCE HALL OF FAME ARITHMETIC GEOMETRIC (HOW MANY PEOPLE DID IT TAKE TO MAKE YOU!!!) SERIES

23 SEQUENCES AND SERIES A SEQUENCE CAN BE THOUGHT OF AS A FUNCTION WITH DOMAIN THE NATURAL NUMBERS. EXPLICIT RECURSIVE SEQUENCE HALL OF FAME ARITHMETIC GEOMETRIC (HOW MANY PEOPLE DID IT TAKE TO MAKE YOU!!!) SERIES BINOMIAL THEOREM

24 POLYNOMIALS

25 REMAINDER THEOREM POLYNOMIALS

26 POLYNOMIALS REMAINDER THEOREM FACTOR THEOREM

27 POLYNOMIALS REMAINDER THEOREM FACTOR THEOREM RATIONAL ZERO THEOREM

28 POLYNOMIALS REMAINDER THEOREM FACTOR THEOREM RATIONAL ZERO THEOREM FUNDAMENTAL THEOREM OF ALGEBRA

29 POLYNOMIALS REMAINDER THEOREM FACTOR THEOREM RATIONAL ZERO THEOREM FUNDAMENTAL THEOREM OF ALGEBRA CONJUGATE PAIRS THEOREM

30 BASIC GRAPHS OF POLYNOMIALS

31 RATIONAL FUNCTIONS

32 RATIONAL FUNCTIONS VERTICAL ASYMPTOTES

33 RATIONAL FUNCTIONS VERTICAL ASYMPTOTES HORIZONTAL ASYMPTOTES

34 RATIONAL FUNCTIONS VERTICAL ASYMPTOTES HORIZONTAL ASYMPTOTES SLANT ASYMPTOTES

35 BASIC GRAPHS OF RATIONAL FUNCTIONS

36 EXPONENTIAL AND LOGARITHMIC FUNCTIONS

37 EXPONENTIAL AND LOGARITHMIC FUNCTIONS INVERSE AND COMPOSITE FUNCTIONS

38 EXPONENTIAL AND LOGARITHMIC FUNCTIONS INVERSE AND COMPOSITE FUNCTIONS PROPERTIES OF LOGARITHMS

39 EXPONENTIAL AND LOGARITHMIC FUNCTIONS INVERSE AND COMPOSITE FUNCTIONS PROPERTIES OF LOGARITHMS SOLVING EQUATIONS

40 EXPONENTIAL AND LOGARITHMIC FUNCTIONS INVERSE AND COMPOSITE FUNCTIONS PROPERTIES OF LOGARITHMS SOLVING EQUATIONS E

41 EXPONENTIAL AND LOGARITHMIC FUNCTIONS INVERSE AND COMPOSITE FUNCTIONS PROPERTIES OF LOGARITHMS SOLVING EQUATIONS E APPS! (HOW TO BECOME A MILLIONAIRE!!)

42 BASIC GRAPHS

43 CONIC SECTIONS

44 CONIC SECTIONS PARABOLA (APPS!)

45 CONIC SECTIONS PARABOLA (APPS!) ELLIPSE

46 CONIC SECTIONS PARABOLA (APPS!) ELLIPSE HYPERBOLA

47 CONIC SECTIONS PARABOLA (APPS!) ELLIPSE HYPERBOLA POLAR COORDINATES

48 SYSTEMS OF EQUATIONS AND MATRICES

49 SYSTEMS OF EQUATIONS AND MATRICES SYSTEMS OF TWO EQUATIONS (AND INEQUALITIES), TWO UNKNOWNS (LINEAR AND NONLINEAR!)

50 SYSTEMS OF EQUATIONS AND MATRICES SYSTEMS OF TWO EQUATIONS (AND INEQUALITIES), TWO UNKNOWNS (LINEAR AND NONLINEAR!) PARTIAL FRACTIONS

51 SYSTEMS OF EQUATIONS AND MATRICES SYSTEMS OF TWO EQUATIONS (AND INEQUALITIES), TWO UNKNOWNS (LINEAR AND NONLINEAR!) PARTIAL FRACTIONS GAUSSIAN ELIMINATION

52 SYSTEMS OF EQUATIONS AND MATRICES SYSTEMS OF TWO EQUATIONS (AND INEQUALITIES), TWO UNKNOWNS (LINEAR AND NONLINEAR!) PARTIAL FRACTIONS GAUSSIAN ELIMINATION MATRICES (HUGE FOR MANIPULATING DATA)