MATH 102 WEEK 02 SESSION 02 AGENDA SU 09
Professor Luke Papademas
papademas@aol.com
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Welcome to MATH 102 Medical Mathematics
Meet: Mondays - Thursdays 6 PM
Room 2109
Meet: Wednesdays 6 PM
Room 1836 ( Professor James )
Sometimes in the PC Lab Room ( Wednesday )
Avoir Du Pois Extra Credit ( consider cereal boxes
and balance weights )
Online Web site:
http://www.papademas.net/occ/MATH102
Quiz 2 tomorrow Wednesday ( Midterm Quiz )
Covers up to Chapter 6
Tomorrow – a sample quiz will be available today
Lab Projects Tomorrow ( MS Excel – calculations, MS Internet
Explorer – interactive Web applications )
Review Chapter 6 ( Calculation of Oral Medication Solids and
Liquids )
Cover Chapter 7 ( Liquids for Injection )
Review Chapter 8 ( Calculations of Basic IV Drip Rates )
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Graded work tonight / tomorrow ( webcourses@aol.com )
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Thursday’s Deliverables include: Homework 4 and 5
Monday’s Deliverables include: Homework 6 and 7, possibly 8
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Chapter 6 Review
( Calculation of Oral Medication Solids and Liquids )
Example Page 106 ( Lanoxin )
Three Methods
Formula Method
Proportions ( Ratios )
Proportions ( Fractions )
Order:
Supply:
Lanoxin 0.125 mg po every – day ( qd but deprecated )
250 mcg
D ( desired dose or order ) =
H ( on hand or have ) =
S ( supply ) =
x ( unknown amount or amount of drug to give )
S
__
H
=
x
__
D
Since the order is for mg, convert 250 mcg to mg
250 mcg / 1000 = 0.250 mg
Proportions with Fractions Method
1 tablet
__
0.25 mg
=
x
__
0.125 mg
Or
1 tablet
_____
0.25 mg
* 0.125 mg
=
x
1 / 2 tablet = x
Proportions with Ratios Method
S:H::x:D
1 tablets : 0.250 mg : : x : 0.125 mg
Equate:
Means = Extremes
H*x =S*D
x = S * D / H = ( 1 tablet ) * 0.125 mg / 0.250 mg
x = 1 / 2 tablet
Formula Method
x = ( D / H ) * S = 0.125 mg / 0.250 mg * ( 1 tablet )
x = 1 / 2 tablet
Example Page 106 ( Amoxil ) Amoxicillin Tablets
D ( desired dose or order ) = 1 g by mouth every 6 hours
H ( on hand or have ) = 500 mg
S ( supply ) = 1 tablet
x ( unknown amount or amount of drug to give )
x = ( D / H ) * S = 1000 mg / 500 mg * ( 1 tablet )
x = 2 tablets
Page 111
D ( desired dose or order ) = Lopressor 25 mg PO bid
H ( on hand or have ) = 50 mg
S ( supply ) = 1 tablet
x ( unknown amount or amount of drug to give )
x = ( D / H ) * S = 25 mg / 50 mg * ( 1 tablet )
x = 1 / 2 tablets
Self Test 1
1.
Order: Decadron 1.5 mg po bid
Supply: tablets labeled 0.75mg
D=1.5mg
H=0.75mg
S=1 tablet
X=unknown amount
x = ( D / H ) * S = 1.5 mg / 0.75 mg * ( 1 tablet )
x = 2 tablets
14.
Order: Capares 400mcg po every day
Supply: tablets labeled 0.2mg
D=0.4mg
H=0.2mg
S=1 tablets
X= unknown amount
x = ( D / H ) * S = 0.4 mg / 0.2 mg * ( 1 tablet )
x = 2 tablets
Oral Liquids – 114
Order: Zithromax oral susp 400mg po every day x 4 days
Supply: Read the label
D=400mg
H=200mg
S=5mL (5cc)
X= unknown amount
x = ( D / H ) * S = 400 mg / 200 mg * ( 5mL )
x = 10mL
S:H::x:D
5mL : 200 mg : : x : 400 mg
200mgx=2000mg-mL
X=2000mL/200
X=10mL
2/3tbsp
2tsp
Self-Test 2 –Page 119
15.
Order: Phenobarbital 100mg po hs
Supply: elixir labeled 20mg/5mL
D=100mg
H=20mg
S=5mL
X=unknown amount
S:H::x:D
5mL : 20mg : : x : 100mg
20mgx=500mg-mL
X=500mL/20
X=25mL (5/6oz)
Self-Test 3 – page 120
Order (D)
9.
0.01g (10mg)
Supply (S)
(scored tablets)
20mg
Answer
½ tablet
10.
11.
12.
13.
14.
650mg
500mg
gr i (1grain=60mg)
50mg
4mg
325mg
250mg
60mg
0.1g (100mg)
2mg
2 tablets
2 tablets
1 tablet
½ tablet
2 tablets
Supply (S)
10mg/5mL
250mg/5mL
10mg/4mL
Answer
10mL
10mL
6mL
Self-Test 4 – page 121
1.
3.
9.
Order (D)
20mg
0.5g (500mg)
15mg
Page 123 Proficiency Test
1.
Order: KCL elixir 20 mEq po bid
Supply: liquid labeled 30 mEq / 15 mL
Answer: ( 2 / 3 ) * 15 mL
Mark the cup
Chapter 7 Review ( Liquids for Injection )
Page 141
Example
Order:
Stelazine ( trifluoperazine ) 1.5 mg IM q6h prn
Supply:
Read the Label
The Label Says 2 mg / mL ( 10 mL multi-dose vial )
D= 1.5 mg
H= 2 mg
S= 1 mL ( use a 1 mL syringe ) Page 142
X=unknown amount
x = ( D / H ) * S = 1.5 mg / 2 mg * ( 1 mL )
x = 0.75 mL ( use a 1 mL syringe – marked between 0.74 and 0.76 the
markings are in 2 / 10 )
Page 142
Example
Order:
Supply:
Demerol ( meperidine HCL ) 75 mg IM q4h prn
Read the Label
The Label Says 50 mg / mL ( 10 Carpuject sterile
cartridge units each are 1 mL )
X = 1.5 cartridges
Page 146
Example
Order:
Supply:
X=
Phenergan ( promethazine ) 12.5 mg IV q4 – 6h prn
Read the Label
The label says 25 mg / mL ( single – dose )
For IV / IM use
1 / 2 of the single dose
x = ( D / H ) * S = 12.5 mg / 25 mg * ( 1 mL )
Page 147
Self – Test 1 ( Calculation of Liquids for Injection )
3.
Order: Vitamin B12 ( cyanocobolamin ) 1 mg IM every day
Supply: vial of liquid labeled 1000 mcg / mL
x = ( 1 mg / 1 mg ) * 1 mL = 1 mL
Special Types of Problems Page 149
Example:
Adrenalin 1 : 1000
Ratios are always interpreted in the metric system as grams per milliliter.
Hence 1 : 1000 means 1 g in 1000 mL
Self – Test 2 Ratios
Ratio
? g per ? mL
? g = ? mL
? g / ? mL
1 : 20
1 g per 20 mL
1 g = 20 mL
1 g / 20 mL
2 : 25
2 g per 25 mL
2 g = 25 mL
2 g / 25 mL
Example Page 150
Order: Epinephrine 1 mg subcutaneous stat
Supply: ampule labeled 1 : 1000
Equivalent: 1 : 1000 means 1 g per 1000 mL
x = ( 1 mg / 1000 mg ) * 1000 mL = 1 mL
Sample Quiz 2
Measurements
Given the following equivalents for liquids (metric, household and apothecary)
1 tsp = 5 mL
1 tbsp =15 mL = ½ fluid oz = 4 drams
1 oz = 30 mL = 2 tbsp = 1 fluid oz = 8 drams
1 pt = 500 mL
1 qt = 1000 mL
4 qt = 1 gal
2.2 lb = 1 kg
Given that Liquid equivalents in the apothecary system are
1 m = 1 gtt
1 dr = 4 mL
8 dr = 1 oz
℥ i = 32 mL
Given the following equivalents for solids
15 grains = 1000 mg
1 grain = 60 mg (or 1 grain = 65 mg)
(1)
15,000 mg
Convert 15 g to mg.
(2)
1.7 gr
Convert 100 mg to gr. 1 gr / 60 mg = x / 100 mg
(3)
6 gr
Convert gr vi to gr.
(4)
20 mL
Convert 4 tsp to mL.
(5)
5m
Convert 5gtt to m.
(6)
0.31 ℥
Convert 10 mL to ℥.
(7)
5 x 10 6 mcg What is the mcg equivalent of 5 g? State the answer in scientific
notation.
(8)
48 L
12 gal = ? L
(9)
False
True or False? A vial is not normally used for administration of powders.
(10)
True
True or False? It is not acceptable to touch mucous membranes with a
medicine dropper.
10 mL / 32 mL
1 gal = 4 L
(11) Read the volume of the liquid contained in this graduated cylinder.
The volume markings are in mL.
6.2 mL
(12) What are the units placed on this syringe?
Ounces and cubic centimeters
(14) On the 10-mL syringe below, use arrows to mark the following doses:
(a) 2.0 mL
(b) 4.0 mL
(c) 4.5 mL
(d) 8.5 mL
(e) 1.31 mL
Mix and Match
Match the numbered problem with the corresponding letter .
1) ________ Gel
2) ________ Insulin Syringe
3) ________ Tincture
4) ________ Magma
5) ________ Precision Syringe
6) ________ Elixir
7) ________ short needle
8) ________ 22 gauge
9) ________ 14 gauge
10) ________ Long needle
Prescription Preparations, Routes of Administration
a) Order: Erythromycin susp 0.50 g po qid
Supply: liquid labeled 125 mg/mL
D=
H=
S=