Clinical Laboratory Mathematics

This course was developed to prepare and sustain your mathematical skills as a clinical laboratory technician. The emphasis is upon computations related to solutions and their concentrations.

After completing each set of lesson exercises, compare your answers with those on the solution sheet that follows the exercises. If you have answered an exercise incorrectly, check the reference cited after the answer on the solution sheet to determine why your response was not the correct one.

 Lesson 1. General Mathematics Review. Lesson 2. Introduction to Solution Mathematics. Lesson 3. Molar Solutions. Lesson 4. Equivalent Solutions. Lesson 5. Conversion of Concentration Units. Lesson 6. Dilutions. Lesson 7. Titration. Lesson 8. Concentrated Acids and Bases. Lesson 9. pH and Buffers.

APPENDIX A REVIEW OF DIMENSIONAL ANALYSIS

1. Read the problem carefully. What is the problem asking for? Be sure the entire problem has been read and understood. This may require you to read the problem two or three times. YOU CANNOT ANSWER THE PROBLEM IF YOU DO NOT KNOW WHAT IT IS ASKING!

2 Determine exactly what results are to be produced by the calculations.

3. Determine what principles and relationships are involved.

4. Think about possible methods to use in solving the problem.

5 Use the sample problems to help you set up and solve the problem.

6. Based on definition, determine the appropriate factors that allow you to solve for the unknown quantity.

7. Once you have selected the appropriate factors for that specific problem type, write them down on your paper.

8. Units are treated the same as numbers in any mathematical calculations.

9. Write the intermediate stages of the calculations clearly. Avoid writing one number on top of another as a method of correction. Make each digit legible. This will allow you to go back and check your work later.

10. Mentally estimate an answer before working the problem.

11. Do the mathematics involved and check your work. Do not round off any intermediate calculations. Be extremely careful in positioning the decimal point and make certain the final answer has the appropriate number of significant figures.

12. Cancel units. The units you have left should be an appropriate unit for what the problem asked. Example: If the problem asked for "How many grams," your final answer should be in grams. If it is not, go back and check your work. Often, all that is required is a simple metric conversion.

13. Compare the calculated result with your estimated answer. If the two figures disagree drastically, determine which result is wrong.

15. Ratio and proportion is consistent with and is the basis of dimensional analysis. 16. Example problems will serve as a reference to the various problem solving techniques.