Calculus III
Contents
3 Dimensional space
Partial derivatives
Multiple integrals
Vector Functions
Line integrals
Surface integrals
Vector operators
Applications
© The scientific sentence. 2010
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| Units
Multiples & submultiples
| Multiple | Prefix | Symbol |
|---|
| 103 | kilo | K |
| 106 | mega | M |
| 109 | giga | G |
| 1012 | tera | T |
| 1015 | peta | P |
| 1018 | exa | E |
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| Submultiple | Prefix | Symbol |
|---|
| 10-3 | milli | m |
| 10-6 | micro | µ |
| 10-9 | nano | n |
| 10-12 | pico | p |
| 10-15 | femto | f |
| 10-18 | ato | a |
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Units
| Concept | Unit | Symbol | Base Unit |
|---|
| Force | newton | N | kg m s-2 |
|---|
| Pression | pascal | Pa | kg m-1 s-2 |
|---|
| Energy | joule | J | kg m2 s-2 |
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| Power | watt | W | kg m2 s-3 |
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| Electrical charge | coulomb | C | A s |
|---|
| Electrical Potential | volt | V | kg m2 s-3 A-1 |
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| Electrical Resistance | ohm | Ω | kg m2 s-3 A-2 |
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| Capacity | farad | F | kg-1 m-2 s4 A2 |
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| Magnetic Flux | tesla | T | kg s-2 A-1 |
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| Radioactive activity | bequerel | Bq | s-1 |
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Conversions
| Concept | SI Unit | AS Unit | Conversion |
|---|
| Length | m | pi, po | 1pi = 12 po
1po = 2,54 cm |
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| Surface | m2 | pi2, po2 | 1m2 = 10.76 pi2 |
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| Volume | m3 | pi3, po3, Gal. | 1Gal.US = 3.785 l |
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| Mass | kg | lbm | 1 kg = 2.2 lbm |
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| Force | N | lbf | 1lbf = 4.45 N |
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| Pression | Pa | Psi | 1atm = 101.3 kPa = 14.7 Psi
= 760 mHg = 10.33 mH2O |
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| Energy | J, cal | Btu | 1 cal = 4.18 J
1 Btu = 1.055 kJ |
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| Power | W | HP | 1 HP = 746 W |
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