Online Volumes (Book Orders)
1,  Elements of Reason. 1996
1A. Pattern Based Reason  1995
1B. Math Curriculum Notes 1996
2. Three Skills for Algebra  1995
3.
_Why_Slopes_&_More_Math_1995

Links To Tutoring Services

Parents: Help your child or teen learn
Site  Folders
1. Arithmetic Videos  11-2008
2.  Algebra Videos (to appear)
3. Solving Linear Equations  04-2005
4.- Fractions-Rates-Proprtns-Units-2006
5.-Algebra-Odds-&-Ends-HS-level-2001
6.-Euclidean-Geometry/Complex No.s
7.  Analytic Geometry/Functions 2006
8.  Number Theory. 2006-7
9.  Complex Numbers More 2001.  10  Exponents & Radicals Exactly 2008
11. Calculus  2005
12.Real  Analysis 1995
13. Electric Circuits Etc  2007
More Folders
Mathematics How TOs & site 
content guides  08- 2008
1. Arithmetic
2. Algebra 
3. More Algebra 
4. Geometry  
5. More Geometry
6. Calculus
  8. Complex Applet  Back ] Area Intro ] Next ]    

 

The following applet shows how to multiply and add complex numbers (vectors in the plane).  See instructions below. Hit help twice to go to a lesson on complex numbers.

 

For multiplication, add the angles and multiply the lengths to get the product. Hit the button C=A*B twice to turn on and off the arc illustration of angle addition. The illustration works best when both factors are in the first quadrants. Hit the button C=A+B to again and again to alternate between illustrations of the head-to-tail method and the component method for vector addition. Now experiment or play. The help button will take you away from this web directory to another explanation of complex numbers.

Algebra, Odds & Ends,

1. Hints for Exams
2A. Exact Arithmetic
2B. Fractions Briefly
3. What is a Variable?
4.. Square Roots
5. Straight Lines
6. Problem Solving Methods
7. Trig and Complex No.
8. Complex Applet
9. History of No.s
10. ln(x) and exp(x)
13. Rename the > Sign
14. Problems: Quadratics
15. Problems: Algebra Test
16. Problems: Linear Eqns I
17. Problems: Linear Eqns II
18. Problem Solving Hints
20. Independent Variables
21. Why Logic
22. Why Math
23. The 15 Times Table
24.  The  20 Times Table
25. Algebra Formulas
26. On Learning Maths
27. Maths in Biology
28. Navigation +Time
29 Quibble-What is Algebra
30. Logic in Maths


Odd and Ends, Essays

Constant Retirement Rate
Road Safety
3 Strikes Law in California.
Math HOW-TOs
9 Steps in Maths

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Caution: Site advice is approximately correct, for some circumstances, not all. Site How-TOs are logically developed, but not tried and tested. That leaves room for thought and refinement..

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