Legitimized [GIAC iOS and macOS Examiner (GIME)] Expert – Led Video Course – MASTERYTRAIL

Lesson 1: Introduction to Decimals
What are decimals?
Decimal point explanation
Place value in decimals
Reading decimals
Writing decimals
Decimals vs Fractions
Real-life uses of decimals
Importance in computing
Examples of decimals
Quick decimal quiz
Lesson 2: Place Value in Decimals
Tenths place
Hundredths place
Thousandths place
Reading decimal place values
Writing numbers with place values
Comparing place values
Rounding using place values
Place value chart
Place value in iOS/macOS logs
Practice problems
Lesson 3: Types of Decimals
Terminating decimals
Non-terminating decimals
Recurring decimals
Non-recurring decimals
Identifying decimal types
Converting fractions to decimals
Examples of decimal types
Representation in macOS logs
Calculation differences
Practice exercises
Lesson 4: Converting Fractions to Decimals
Introduction to fractions
Simple conversion method
Long division approach
Converting proper fractions
Converting improper fractions
Converting mixed numbers
Fraction to recurring decimal
Converting in iOS calculators
Practice conversions
Quiz
Lesson 5: Converting Decimals to Fractions
Understanding decimals as fractions
Writing decimals over 10, 100, 1000
Simplifying fractions
Non-terminating decimals
Repeating decimals to fractions
Practice with examples
Conversion in macOS
Use in forensic logs
Common mistakes
Practice problems
Lesson 6: Comparing Decimals
Aligning decimals
Using place value
Adding zeros for comparison
Greater than, less than, equal to
Visual comparison
Sorting decimals
Comparing in data logs
Common errors
Practice sets
Quiz
Lesson 7: Rounding Decimals
Rounding rules
Rounding to nearest tenth
Rounding to nearest hundredth
Rounding to nearest thousandth
Rounding in calculations
Importance in digital forensics
Rounding up vs down
Examples in logs
Practice exercises
Quick test
Lesson 8: Addition of Decimals
Aligning decimal points
Adding tenths
Adding hundredths
Adding multiple decimals
Carrying over
Use in macOS calculations
Word problems
Common mistakes
Practice problems
Quiz
Lesson 9: Subtraction of Decimals
Aligning decimal points
Subtracting tenths
Subtracting hundredths
Borrowing in subtraction
Subtracting multiple decimals
Use in iOS calculations
Word problems
Common mistakes
Practice sets
Test
Lesson 10: Multiplication of Decimals
Multiplying by whole numbers
Multiplying decimals by decimals
Counting decimal places
Removing and replacing decimal point
Word problems
Multiplication in logs
Common errors
Practice problems
Application in data analysis
Quiz
Lesson 11: Division of Decimals
Dividing by whole numbers
Dividing decimals by decimals
Adjusting decimal point
Long division method
Division in macOS calculator
Word problems
Common pitfalls
Practice questions
Examples in forensics
Quick test
Lesson 12: Decimals in Measurements
Using decimals in length
Weight measurements
Time calculations
Temperature readings
Currency representation
Data storage units
Precision in measurements
Forensic relevance
Practice exercises
Quiz
Lesson 13: Decimals in iOS/macOS Forensics
Timestamps with decimals
File size representation
Log analysis
Data integrity checks
Precision in evidence
Comparing values
Calculating durations
Hexadecimal vs decimal
Practical case studies
Review questions
Lesson 14: Scientific Notation and Decimals
Introduction to scientific notation
Converting decimals to scientific notation
Converting scientific notation to decimals
Large numbers
Small numbers
Use in digital logs
Calculating with scientific notation
Forensic applications
Practice problems
Test
Lesson 15: Expanding Decimals
Writing decimals in expanded form
Place value breakdown
Expanded form examples
Practice with tenths
Practice with hundredths
Practice with thousandths
Use in reporting
Application in logs
Practice exercises
Quick review
Lesson 16: Decimals in Programming
Data types for decimals
Floating point numbers
Precision issues
Rounding in code
Storing decimals in iOS/macOS
Decimal libraries
Case studies
Comparing floats and doubles
Representation errors
Practice code snippets
Lesson 17: Ordering Decimals
Smallest to largest
Largest to smallest
Visual representation
Using number lines
Grouping decimals
Sorting in spreadsheets
Application in forensic reports
Common mistakes
Practice exercises
Quiz
Lesson 18: Decimals in Spreadsheets
Formatting cells
Functions with decimals
Rounding functions
Sorting decimals
Filtering data
Summing decimals
Calculating averages
Forensic data analysis
Visualization
Practice exercises
Lesson 19: Decimals in Time Calculations
Representing time as decimals
Converting minutes/seconds to decimals
Calculating durations
Timestamps in logs
Time zone differences
Application in event analysis
Practice problems
Tools for conversion
Common errors
Quick test
Lesson 20: Decimals in Currency Calculations
Currency as decimals
Rounding to nearest cent
Adding/subtracting currency values
Division for per unit cost
Multiplication for total cost
Currency conversion
Decimal errors in transactions
Fraud detection
Practice problems
Quiz
Lesson 21: Repeating Decimals
What are repeating decimals?
Identifying repetition
Notation for repeating digits
Converting repeating decimals to fractions
Use in logs
Examples
Practice conversion
Application in forensics
Common misconceptions
Practice exercises
Lesson 22: Non-Repeating, Non-Terminating Decimals
Definition
Example: Pi
Example: Square roots
Representation in computers
Precision limits
Use in iOS/macOS
Calculating with irrationals
Forensic relevance
Practice questions
Test
Lesson 23: Significant Figures and Decimals
What are significant figures?
Identifying significant digits
Rounding to significant figures
Use in reporting
Forensic application
Decimal places vs significant figures
Practice exercises
Scientific notation relation
Common mistakes
Quiz
Lesson 24: Decimals in Data Representation
Storing decimals in databases
Data type selection
Precision and scale
Data export/import issues
Rounding errors
Display formats
Forensic data integrity
Case studies
Practice exercises
Review
Lesson 25: Truncation vs Rounding
Definition of truncation
Definition of rounding
Differences and similarities
Application in calculations
Forensic implications
Examples in logs
Practice exercises
Common errors
When to use which
Test
Lesson 26: Decimal Patterns and Sequences
Identifying patterns
Common decimal sequences
Arithmetic sequences
Geometric sequences
Application in logs
Forensic pattern analysis
Practice problems
Application in data analysis
Visualization
Quick test
Lesson 27: Decimals and Percentages
Converting decimals to percentages
Converting percentages to decimals
Calculation exercises
Use in reports
Forensic percentage analysis
Rounding percentages
Application in iOS/macOS
Practice sets
Visualization
Quiz
Lesson 28: Decimals and Ratios
Converting decimals to ratios
Converting ratios to decimals
Application in calculations
Use in forensic comparison
Practice problems
Ratio simplification
Visual representation
Data analysis
Common mistakes
Test
Lesson 29: Decimals in Statistical Analysis
Mean calculation
Median with decimals
Mode with decimals
Range and decimals
Standard deviation
Variance
Use in forensic statistics
Outlier detection
Practice problems
Review
Lesson 30: Decimals in Graphs and Charts
Decimal representation in bar charts
Line graphs with decimals
Pie charts and percentages
Label formatting
Data visualization
Forensic report charts
Interpreting decimal data
Practice exercises
Common errors
Test
Lesson 31: Estimating with Decimals
When to estimate
Rounding for estimation
Front-end estimation
Compatible numbers
Estimation in forensic calculations
Real-life examples
Practice problems
Application in reporting
Common pitfalls
Quiz
Lesson 32: Decimals in Error Analysis
Measurement errors
Calculating error margins
Absolute error
Relative error
Use in forensic reports
Rounding impact
Significant digits
Practice exercises
Error propagation
Test
Lesson 33: Decimals in Encryption Algorithms
Role of decimals in cryptography
Floating point operations
Precision issues
Rounding errors in encryption
Data representation
Forensic implications
Case studies
Practice exercises
Application in iOS/macOS
Review
Lesson 34: Decimals in Network Traffic Analysis
Data packet sizes
Bandwidth calculations
Representation in logs
Decimal accuracy
Rounding in traffic data
Forensic analysis
Practice problems
Visualization tools
Common issues
Quiz
Lesson 35: Decimals in Storage Analysis
File sizes as decimals
Storage unit conversions
Rounding in storage calculations
Data loss analysis
Forensic reporting
Practice exercises
Common mistakes
Representation in macOS
Storage logs
Test
Lesson 36: Decimals in Mobile Device Logs
Timestamp analysis
File version numbers
App usage stats
Log entry representation
Sorting log entries
Rounding errors
Forensic case studies
Practice problems
Visualization
Review
Lesson 37: Decimals in Geolocation Data
Latitude and longitude as decimals
Precision in location tracking
Rounding impact
Forensic case studies
Visualization on maps
Practice problems
Data import/export
Application in iOS/macOS
Error analysis
Quick quiz
Lesson 38: Decimals in Sensor Data
Decimal representation in sensors
Data precision
Rounding in sensor logs
Forensic analysis
Practice problems
Sensor calibration
Data visualization
Real case examples
Common errors
Test
Lesson 39: Decimals in Audio/Video Analysis
Duration as decimals
Frame rates
Bit rates
Data sizes
Forensic significance
Practice exercises
Decimal rounding errors
Application in iOS/macOS
Visualization
Review
Lesson 40: Decimals in Cloud Forensics
Data size representation
Storage calculations
Billing calculations
Log analysis
Decimal accuracy
Practice problems
Decimal errors in cloud logs
Forensic reporting
Visualization
Test
Lesson 41: Decimals in App Usage Analysis
Usage duration as decimals
Event frequency
Data transfer sizes
Rounding in reports
Forensic case studies
Practice exercises
Visualization
Application in iOS/macOS
Common mistakes
Review
Lesson 42: Decimals in Web Forensics
Decimal data in web logs
Response time calculations
Data transfer logs
Bandwidth usage
Forensic analysis
Practice problems
Visualization
Decimal accuracy
Rounding errors
Quiz
Lesson 43: Decimals in Password Analysis
Hash calculation times
Iteration counts as decimals
Rounding in reports
Forensic case studies
Practical exercises
Application in iOS/macOS
Visualization
Decimal errors
Data reporting
Test
Lesson 44: Decimals in Battery Usage Analysis
Battery percentage as decimals
Duration calculations
Data logs representation
Forensic analysis
Practice problems
Visualization
Decimal rounding
Application in iOS/macOS
Common errors
Quiz
Lesson 45: Decimals in Network Signal Analysis
Signal strength as decimals
Data rate calculations
Forensic case studies
Decimal representation in logs
Rounding errors
Practice exercises
Visualization tools
Application in iOS/macOS
Common mistakes
Test
Lesson 46: Decimals in Calendar Data
Event durations as decimals
Time zone offsets
Rounding in event logs
Forensic significance
Practice exercises
Data visualization
Decimal errors
Application in iOS/macOS
Common pitfalls
Review
Lesson 47: Decimals in Messaging Forensics
Message timestamp analysis
Data size as decimals
Frequency analysis
Rounding in reports
Forensic case studies
Practice problems
Visualization
Application in iOS/macOS
Decimal errors
Test
Lesson 48: Decimals in Backup Data Analysis
Backup size as decimals
Duration calculations
Rounding in logs
Forensic significance
Practice exercises
Data visualization
Common errors
Application in iOS/macOS
Decimal representation
Review
Lesson 49: Decimals in Application Crash Analysis
Timestamp analysis
Data size representation
Frequency of crashes
Rounding in logs
Forensic analysis
Practice problems
Visualization
Decimal errors
Application in iOS/macOS
Test
Lesson 50: Review and Advanced Decimal Applications
Summary of decimal concepts
Advanced rounding methods
Decimal precision in forensics
Real-life forensic applications
Practice case studies
Decimal conversion tricks
Error analysis review
Application in iOS/macOS
Final practice test
Certification tips