Page 10 - KFSHRC-RSO-Course
P. 10
iation Safety Officer Course Module 1.1 – Basic Mathematics
5. COMMON LOGS .................................................................................. 11
5.1 Introduction to Common Logs ........................................................... 11
5.2 How to Find the Common Log of a Number?.................................... 11
SELF-CHECK 5 ........................................................................................... 12
6. NATURAL LOGS .................................................................................. 12
6.1 Introduction to Natural Logs .............................................................. 12
6.2 How to Find the Natural Log of a Number ?...................................... 13
SELF-CHECK 6 ........................................................................................... 13
7. EXPONENTIAL FUNCTIONS ............................................................... 13
7.1 Introduction to Exponential Functions ............................................... 13
7.2 How to Find the Value of Exponential Functions ?............................ 13
7.3 Manipulating Natural Logs and Exponential Functions ..................... 14
7.3.1 Using rules of manipulating equations ....................................... 14
7.3.2 Using log rules ........................................................................... 14
SELF CHECK 7 ........................................................................................... 15
8. GRAPHS ............................................................................................... 15
8.1 Features of Graphs ........................................................................... 16
8.1.1 Axes ........................................................................................... 16
8.1.2 Scales ........................................................................................ 16
8.1.3 Interpolation and extrapolation ................................................... 17
8.1.4 Line of best fit............................................................................. 17
8.2 Examples of Graphs ......................................................................... 18
8.2.1 Linear Relationships................................................................... 18
8.2.2 Exponential Relationships.......................................................... 19
8.2.3 Log/log graphs ........................................................................... 21
SELF-CHECK 8 ........................................................................................... 22
9. SIMPLE PROBABILITY AND COUNTING STATISTICS ...................... 22
9.1 Probability ......................................................................................... 22
9.2 Counting Statistics ............................................................................ 23
9.3 Standard Deviation ........................................................................... 24
9.3.1 Determining stdev for a single measurement of count ............... 25
9.3.2 Determining stdev for a single meas.of count corrected for BG . 25
9.3.3 Determining the sample stdev of a single count rate.................. 26
9.3.4 Determining the sample stdev of a single count rate corr.for BG27
King Faisal Specialist Hospital and Research Centre – Biomedical Physics Department Pa Page ii
5. COMMON LOGS .................................................................................. 11
5.1 Introduction to Common Logs ........................................................... 11
5.2 How to Find the Common Log of a Number?.................................... 11
SELF-CHECK 5 ........................................................................................... 12
6. NATURAL LOGS .................................................................................. 12
6.1 Introduction to Natural Logs .............................................................. 12
6.2 How to Find the Natural Log of a Number ?...................................... 13
SELF-CHECK 6 ........................................................................................... 13
7. EXPONENTIAL FUNCTIONS ............................................................... 13
7.1 Introduction to Exponential Functions ............................................... 13
7.2 How to Find the Value of Exponential Functions ?............................ 13
7.3 Manipulating Natural Logs and Exponential Functions ..................... 14
7.3.1 Using rules of manipulating equations ....................................... 14
7.3.2 Using log rules ........................................................................... 14
SELF CHECK 7 ........................................................................................... 15
8. GRAPHS ............................................................................................... 15
8.1 Features of Graphs ........................................................................... 16
8.1.1 Axes ........................................................................................... 16
8.1.2 Scales ........................................................................................ 16
8.1.3 Interpolation and extrapolation ................................................... 17
8.1.4 Line of best fit............................................................................. 17
8.2 Examples of Graphs ......................................................................... 18
8.2.1 Linear Relationships................................................................... 18
8.2.2 Exponential Relationships.......................................................... 19
8.2.3 Log/log graphs ........................................................................... 21
SELF-CHECK 8 ........................................................................................... 22
9. SIMPLE PROBABILITY AND COUNTING STATISTICS ...................... 22
9.1 Probability ......................................................................................... 22
9.2 Counting Statistics ............................................................................ 23
9.3 Standard Deviation ........................................................................... 24
9.3.1 Determining stdev for a single measurement of count ............... 25
9.3.2 Determining stdev for a single meas.of count corrected for BG . 25
9.3.3 Determining the sample stdev of a single count rate.................. 26
9.3.4 Determining the sample stdev of a single count rate corr.for BG27
King Faisal Specialist Hospital and Research Centre – Biomedical Physics Department Pa Page ii
