Download Review of Mathematics

國立台灣大學九十學年度第二學期生物力學
REVIEW OF BASIC MATHEMATICS
Plane Geometry
1. angles, sides, and area of a triangle
2. angles, sides, and area of a polygon
3. radius, diameter, circumference, and area of a circle
4. arc length and area of a sector of a circle
Plane Trigonometry
1. define an angle between 2 lines
2. units used to measure angles
3. orthogonal projections of a line segment onto two perpendicular axes
4. define of sine (sin)
5. define of cosine (cos)
6. define of tangent (tan)
7. inverse trigonometric relationship:
if sin  = a
8. law of sine:
then
 = sin-1 a
a
b
c


sin A sin B sin C
9. law of cosine: a 2  b 2  c 2  2bc cos A
10. solution of an arbitrary triangle
a. knowing 3 sides to determine the angles
b. knowing 2 sides and 1 angle to find the rest of the angles and sides
c. knowing 2 angles and 1 side to find the rest of the angles and sides
11. area of an arbitrary triangle
A  1 bc sin A  1 ab sin C  1 ca sin B
2
2
2
A  s(s  a)( s  b)( s  c) where s 
or
abc
2
Vector
1. vector addition or subtraction
2. vector decomposition
3. expressed by unit vectors
HC\BioMech\RevMath2.doc
1
Feb 22, 2001
國立台灣大學九十學年度第二學期生物力學
REVIEW OF BASIC MATHEMATICS
magnitude
point of
application
line of action
sense
HC\BioMech\RevMath2.doc
2
Feb 22, 2001