Samples :
( chosen at Random !)

Algebra
********************

1....Equations **************

1a....Equations **************

1b....Equations **************

1c....Equations **************

1d....Equations **************

1e....Equations **************

1f....Equations **************

1g....Equations **************

2..Fraction Problem*************

3...Algebraic Expressions******

4....Distributivity *******

5...Equations *****

6....Fraction Problem ******

7...Power Laws **

8.....Signed Numbers ****

9...Quadratic Equation Formula **

10...Quadratic Equation **

11..Fractions : Division *****

12...Signed Numbers ****

13...Linear Equation ****

14..Signed Numbers ***

15...Signed Numbers*****

16...Algebraic Expressions : Division ****

17...Substitutions *****

18...Powers ****

19...Powers ******

20...Fractions ****

21...Special Products **

22...Distributivity ****

23...Percentage Problem *****

24...Highest Common Factor ***

25....Linear Equations - Introduction *****

26....Determinants (2x2)*******

27....Factorization *****

28....Linear Equations ****

29...*********

30...********

31...*********

32..System of Linear Equations (x,y) ****

33...*****

34...****

35...****

36.. Solution by Determinants..*****

37...Determinants..****

...Example...****

...Example...****

38...****

39...Inequalities ***

40...Inequalities ****

41...Absolute Value ****

42..Parametric Equations****

43..Parametric Equations**

44..Parametric Equations***

45...********

46..*********

47...********

48...Parametric Equations ****

49...*******

50...******

51...Parametric Equations **

52...Parametric Equations **

53...********

54...********

55...Parametric Equations ****

56...********

57...*******

58...Parametric Equations **

59...Parametric Equations **

60...Parametric Equations **


61...Parametric Equations **

62...Parametric Equations **

63...Parametric Equations **


64...Parametric Equations **

65...Parametric Equations **

66...Parametric Equations **

67...Parametric Equations **

68...Parametric Equations **

69...Parametric Equations **

70...Parametric Equations **


71...Investigations **

72...Parametric Equations **

73...Parametric Equations **


74...Parametric Equations **

75...Parametric Equations **

76...Parametric Equations **

77...Parametric Equations **

78...Parametric Equations **

79...Parametric Equations **


80...System of Equations ( x , y , z ) **


81...Pyramid... **

82...Common Point .. **

83...Parametric Equations **


84...Common Line... **

85...Parametric Equations **

86...Parametric Equations **

87...Parametric Equations **

88...Parametric Equations **

89...Parametric Equations **

90...Parametric Equations **


91... **

92...Parametric Equations **

93...Prism .... **


94...Parametric Equations **

95...Parametric Equations **

96...Parametric Equations **

97...Parametric Equations **

98...Parametric Equations **



99...Factorization **

100...Factorization **


101.. Factorization .. **

102...*******

103...************

104.***********

105..***********


106..***********

107...************

108.***********

109..***********


110..***********


111..***********


112..Grouping of Terms..*

113...************

114...***********

115.....***********


116......***********


117......***********

118...Special Products...*

119..***********


120..***********


121..***********


122..***********

123...************

124...Special Products..***

125.....***********


126......***********


127......***********

128.***********

129..***********


130..***********


131..Trinomials..******


132..***********

133...************

134...***********

135.....***********


136......***********

137......Trinomials..***



138......***********


139......***********



140........******


141..( A + B + C )^2..***********

142...************

143....***********

144.....***********


145..( A - B )^3 ....***********


146.....**********



147....Cubic Polynomial.. ....***********


148.........***********

149.........***********

150.....***********


151......***********


152.....**********



153....Equations... .****


154....Parabola & Line...***

155.....Hyperbola & Line..****

156....Hyperbola & Line..**


157.....Ellipse & Line...***


158.....Ellipse & Line...**

159.....Parabola & Line...***


160.....Parabola & Line...**



161....Two Lines in Plane .. .****


162..........***

163.....Two Lines..****

164....Two Lines..**


165..Two Lines......*****


166.....******

167.....Two Lines....***


168.....Two Lines..**

169.....Two Lines.....**

170.....Two Lines...**



171..Coinciding Lines .. .****


172...Coinciding Lines.......***

173.....No Solution !..****

174....Parallel Lines....**


175..Solution by Determinants.....*****


176.....******

177....Solution by Determinants.....***


178....Solution by Determinants....**


179.....Hyperbola & Parabola....**

180.....Hyperbola & Parabola...**



181..Ellipse & Parabola.. .****


182...Ellipse. & Parabola.......***

183.....Hyperbola & Parabola....****

184....Hyperbola & Parabola.....**


185....Hyperbola & Hyperbola....*****


186....Hyperbola & Hyperbola......******

187....Ellipse & Ellipse......***


188....Ellipse & Ellipse......**




189.....Hyperbola & Parabola.......**

190.....Hyperbola & Parabola.......**



191..Parabola & Parabola.... .****


192...Parabola & Parabola.......***

193.....Parabola & Parabola......****

194....Parabola & Parabola..........**


195.....Point of Tangency.....****

196....Point of Tangency.......**


197.....Linear Equations....****

198....Linear Equations......**



199....Equations with Fractions....****

200..Equations with Fractions......**


201.Linear Equations with Fractions....****

202.Linear Equations with Fractions........**


203.....Quadratic Equations.....****

204....Quadratic Equations...........**


205.....Quadratic Equations...****

206....Quadratic Equations.....**


207.....Quadratic Equations.****

208.Quadratic Equations with Fractions..****

209....Quadratic Equations...........**


210.....Quadratic Equations...****

211....Quadratic Equations.....**


212.....Quadratic Equations.****Look at this !!!***

213.....Quadratic Equations.****

..Let the Computer...******

.....solve your Equations !!!....***


......**********


***...Algebra-Description*******


********************

1...Car Motion ******

2...Solution *******

3...Fractions (Problem) *****

4...Fractions ******

5...Solution *******

6...Fractions *****

7...Proportion *****

8...Number Relations *****

9...Solution *****

10...C H I E F ******

11...Car Motion ******

12...Fractions ******

13...Solution ******

14...Fractions *******

15...Fractions ******

16...Solution ******

17...Fractions ******

18...Solution *****

19...Fractions *****

20...Solution ******

21...Program Picture*****

22...Car Motion *****

23...*****

24...****

25...***

26...*****

27...*****

28...Car Motion ******

29...Car Motion ****

30...Solution****

31...Solution*****

32...Solution******

33...Work Problems*********

34..Work Problems*********

35...Work Problems*********

36...Work Problems********

37...Work Problems********

38...Work Problems********

39...Work Problems********

40...Work Problems********

41...Work Problems********

42...Work Problems********

43...Work Problems********

44...Work Problems********



45...Work Problems********

46...Work Problems********

47...Work Problems********

48...Work Problems********

49...Work Problems********

50...Work Problems********

51...Work Problems********

52...Work Problems********

53...Work Problems*********

54..Work Problems*********

55...Work Problems*********

56...Work Problems********

57...Work Problems********

58...Work Problems********

59...Work Problems********

60...Work Problems********

61...Work Problems********

62...Work Problems********

63...Work Problems********

64...Work Problems********



65...Work Problems********

66...Work Problems********


67.....Number Relations...******

68....********

69........******

70......***

71......****

72.....*******

73...Number Relations......*****

74.......****

75.......****

76.......*****

77.......***

78......****

***...Problems-Description**

********************
?

1...Functions..Parabola & Line..***

2..Circle & Tangent..***

3......*********

4...Function Graph..****

5...Function Graph..*****

6...Line : Slope Formula...*********

6a...Angle Bisectors..***

7...Equation of Line in Plane..***

8.....**********

9....*********

10....********

11..Line : X , Y-Intercepts....***

12...Two intersecting Lines..***

13..Length of Segment...*****

14...Segment Division...****

15...Graphic Inequalities....****

16..Reflection of Line..*****

17..Translation of Line....***

18..Three intersecting Lines in Plane....*****

19..Distance of Point to Line in Plane....***

20.......**********

21..Lines : Angle Bisector.....*********

22..Parabola Translation...***

23..Parabola Vertex Formula.....**

24..Parabola Translation...***

25.....*****

26..Parabola Rotation ( 90 Degrees )..***

27..Ellipse.....*********

28..Circle & Line....****

29..Hyperbola......******

30..Ellipse & Line...*****

31..Ellipse & Line....*****

32..Line : Angle Bisector.....****

33..Rotations.*********

34..Rotation of Square (Regular Matrix ) ( Picture)...**********

35..Rotations..*********

36..Rotations..*********

37..Rotations..**********

38..Rotation of Axes ( Regular Matrix )..*********

39..Rotations (Picture)..*********

40.Rotations...**********

41..Rotations..*********

42...Rotation of Axes ( Orthogonal Matrix )...*********

43....Rotations..Parabola ***

44...Rotations.*********

45....Rotations..**********

46..Rotations..*********

47...Rotations(Picture).*********

48....Rotations(Picture)..**********



49....Rotations..Ellipse ***

50...Rotations.*********

51....Rotations..**********

52..Rotations..*********

53...Rotations(Picture).*********

54....Rotations(Picture)..**********


55....Rotations..**********

56...Rotations.*********

57....Rotations..Hyperbola ***



58....Rotations..**********

59...Rotations.*********

60...Rotations.*********

61....Rotations..**********

62..Rotations(Picture)..*********

63...Rotations(Picture).*********

64....Rotations..**********


65....Rotations(Picture)..**********


66....Rotations..**********

67..Rotations..*********

68...Picture Rotations. ********

69....Rotations..**********

70....Picture Rotations.. ***

71...Rotations.*********

72....Rotations..**********

73..Picture Rotations..*********

74...Rotations.*********

75....Inverse Transformation....****


76....Rotations..**********

77....Rotations..**********

78...Rotations(Picture).*********

79....Picture Rotations.. ***



80....Picture Rotations..**********

81...Picture Rotations.*********

********************



1.....Vectors********

2..Angle : Line & Plane...***

3..Three Planes & one Line....***

4...Three Planes & one Line....***

5...Special Plane Equations..****

6....Coplanar Vectors...****

7...Coplanar Vectors...**

8...Vectors in Space...********

9...Vectors in Space ..******

10....Parallelepiped...*****

11....Vector Product..***

12....Special Planes...****

13....Matrix Rank..********

14....Three Planes...****

15....Intercept Plane Form...***

16...Angle : Line - Plane...***

17....Param. Representation of Line...**

18..Intersection of two Planes...***

19...Line Direction Numbers...**

20..Three Lines in a Plane...**

21.....*****

22..Two Lines in Space...**

23...Three Planes' Prism...****

24.......***

25...Three Planes' Pyramid....****

26...Three Planes' Pyramid....***

27..Three Planes : Rank....*****

28..Three Planes' Pyramid..*****

29...Special Lines in Space..*****

30...Equation of Line in Space..***

31...Equation of Line in Space...***

32........*****

33..Distance : Point to Plane...***

34..Parametric Repr. of Line in Space...****

35..Two Planes intersecting...****

36...Plane contains Line..****

37..Vector Addition - Subtraction..*****

38.......*******

39....Linear dependent Vectors..*****

40.....Vectors : Linear Dependence ********

41....Linear dependent Vectors********

42...Dot Scalar Product...****

43...Vector Product...****

44....Vector Product..***

45.....*******

46...Intersecting Planes...*****

47......******

48...Param. Repr. of Line in Space..*****

49...Three Lines in a Plane..*****

50..Three Planes form a Prism....****

***...Vectors-Description***


********************

1......Modern Algebra****..Permutations..****

2.....Relations..********

3....Sets..********

4....Sets..Operations******

5....Sets...******

6....Family Relations...*****

7...Probability....******

8...Groupoids...****

9...Groupoids...**

10..Combinations..********

11...Groups..Definition.*********

12...Groups..Inverses..*****

13...Groups..********

14...Groups..******

15...Addition Modulo 5..***

16..Addition Modulo 5...****

17...Multiplication Modulo 5..*****

18...Groups : Set of Rationals....******

19..Definition of Transformation..Groups of Permutations...****

20...Symmetric Permutation Group of Degree 3...*******

21...The Irreducible Residue Class Modulo 7...***

22...Assiociativity of Permutations...*****

23..Multiplication of Permutation....*******

24...Rotation and Reflection of the Equilateral Triangle....******

25..The Symmetric Permutation Group of Degree 3...( Equilateral Triangle )..*****

26...Rotations of the Equilateral Triangle ...*****

27...Reflections of the Equilateral Triangle...*******

28...The Symmetric Permutation Group of Degree 3...Multiplication Table..******

29...*****************

30...************

31...Rotations of the Square..*******


32...Reflections of the Square..******

33...************************

34...The Symmetric Permutation Group of Degree 4 - Multiplication Table...******

35...Subgroups of the Permutation Group - Degree 4.....****

36...*********************

37...*************

38...*********

39...Picture...***




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Function and
Geometry Samples !!

********************
Geometry , Trigonometry and Rotations of Planes and Lines .... *************************************************************************************************

Explicit & Implicit Functions ... ********************

Surface Explorer ... ********************

Matrices & Determinants ********************

Our famous "Color Geometry " !!! ********************