Laboratory Mathematics

CORRESPONDENCE COURSE OF
THE U.S. ARMY MEDICAL DEPARTMENT CENTER AND SCHOOL
SUBCOURSE MD0837 EDITION 200

INTRODUCTION

U.S. ARMY MEDICAL DEPARTMENT CENTER AND SCHOOL

This subcourse was developed to prepare and sustain your mathematical skills as a Medical Laboratory Specialist. The emphasis is upon computations related to
solutions and their concentrations. If you feel that you need a more basic review of mathematics before taking this subcourse, you should request Subcourse MD0900, Basic Mathematics, which covers addition, subtraction, multiplication, and division of whole numbers; decimals, and fractions; and conversions to and from the metric
system. If you need a basic review of chemistry, you should request Subcourse MD0803, General Chemistry.

You must be able to solve the types of problems included in the lesson exercises and the examination if you are to perform well in the clinical laboratory.

Subcourse Components:

This subcourse consists of nine lessons and Appendices. The lessons and appendices are:

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.

Appendix B. Table of Four-Place Logarithms.

Appendix C. Table of Common Elements and Radicals.

Appendix D. Metric Prefixes.

Here are some suggestions that may be helpful to you in completing this subcourse:

–Read and study each lesson carefully.

–Complete the subcourse lesson by lesson. After completing each lesson, work the exercises at the end of the lesson.

–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.

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Download Here
Laboratory Mathematics

Length: 185 Pages

Estimated Hours to Complete: 7

Format: PDF file

Size: 505 KB

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Anyone may take this course. However, to receive credit hours, you must be officially enrolled and complete an examination furnished by the Nonresident Instruction Branch at Fort Sam Houston, Texas. Enrollment is normally limited to Department of Defense personnel. Others may apply for enrollment, but acceptance is not guaranteed.

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TABLE OF CONTENTS

INTRODUCTION

1 GENERAL MATHEMATICS REVIEW

Section I. Properties of Real Numbers

Section II. Properties of Equality

Section III. Rounding Off Numbers

Section IV. Scientific Notation

Section V. Significant Figures

Section VI. Logarithms

Section VII. Solutions to Exercises

2 INTRODUCTION TO SOLUTION MATHEMATICS

Section I. Grades of Laboratory Chemicals

Section II. Grades of Laboratory Water

Section III. Parts of a Solution

Section IV. Types of Solutions

Section V. Percent Concentration

Exercises

3 MOLAR SOLUTIONS

Section I. Mole Concept

Section II. Molarity and Molar Solutions

Section III. Millimoles per Liter

Section IV. Variations of Molarity Problems

Exercises

4 EQUIVALENT SOLUTIONS

Section I. Equivalent Weight

Section II. Normal Solutions

Section III. Milliequivalent per Liter (mEq/L) Solutions

Section IV. Variations of Normality Problems

Exercises

5 CONVERSION OF CONCENTRATION UNITS

Exercises

6 DILUTIONS

Exercises

7 TITRATION

Exercises

8 CONCENTRATED ACIDS AND BASES

Exercises

9 pH AND BUFFERS

Section I. Introduction

Section II. Dynamic Equilibrium

Section III. Dissociation of Water

Section IV. pH and pOH

Section V. Hydrolysis of Salts

Section VI. Buffers

Exercises

APPENDIX A. Review of Dimensional Analysis

APPENDIX B. Table of Four-Place Logarithms

APPENDIX C. Table of Common Elements and Radicals

APPENDIX D. Metric Prefixes

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Sample

LESSON ASSIGNMENT

LESSON 1 General Mathematics Review.

TEXT ASSIGNMENT Paragraphs 1-1 through 1-49.

LESSON OBJECTIVES After completing this lesson, you should be able to:

1-1. Identify and apply the properties of real numbers when performing computations.

1-2. Use properties of equality to solve equations for unknowns.

1-3. Round off numbers according to instructions in this lesson.

1-4. Express numbers in standard scientific notation and perform arithmetic calculations for same.

1-5. Determine the number of significant figures in a number and appropriately report these figures for computations.

1-6. Find the logarithm for a given number, find the antilogarithm for a given logarithm, and calculate using logarithms.

SUGGESTION After studying each section, complete the exercises
at the end of each section. These exercises help you to achieve the lesson objectives.

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Laboratory Mathematics

 

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