Mathematics for AI (Statistics & Algebra Refresher)

Duration
8 weeks
Investment
UGX 600,000
Certificate
Included
Teaching
Live online
Program Introduction
Build the practical mathematical foundation needed to understand data science, machine learning and artificial intelligence. Designed for learners in Uganda, East Africa and across Africa, this beginner–intermediate course refreshes algebra, probability, descriptive statistics, vectors, matrices and basic calculus through plain-language explanations, visual examples, Excel exercises and NumPy practice. Local examples include rainfall, crop yield, boda-boda fuel costs, mobile money and small-business data.
Key Features & Benefits
• Plain-language mathematics for AI • Visual explanations of functions, vectors and matrices • Uganda and East Africa case examples • Hands-on Excel and NumPy exercises • Practice with rainfall, crop-yield and transport-cost data • Correlation-versus-causation reasoning • Applied capstone mini-project • Foundation for Course 7
Real-World Applications
• Prepare for machine learning, data science and AI study • Analyse rainfall and crop-yield patterns • Summarise business, survey and monitoring data • Interpret mobile-money, sales and transport-cost datasets • Check whether variables are correlated without assuming causation • Create simple trend-based forecasts in Excel • Support evidence-based decisions in agriculture, NGOs, research and small businesses
Course outline and learning expectations
This is a tutor-led course. The outline shows what your tutor will cover; teaching materials and examinations are provided directly to enrolled students.
Live online
English (Uganda)
Upper Secondary · University · General Public
What you will learn
- Interpret functions, graphs and simple rates of change
- Calculate and explain mean, median, mode and standard deviation
- Solve basic probability questions and interpret common probability distributions
- Represent and manipulate vectors and matrices by hand and with NumPy
- Distinguish correlation from causation in real datasets
- Use Excel to organise data, calculate statistics and draw a simple trend line
- Explain how algebra, statistics, probability and calculus support AI models
- Complete a mini-project forecasting a boda-boda fuel cost from historical data
Modules
- 1
Algebra refresher
Review the algebra used in data analysis and AI
Variables and expressionsEquationsFunctionsCoordinate graphsReading slopes and intercepts - 2
Probability basics
Understand uncertainty through familiar East African examples
Events and outcomesFractions, decimals and percentagesSimple probability rulesOdds of rain during a planting season - 3
Descriptive statistics
Summarise and compare datasets accurately
MeanMedianModeRangeVarianceStandard deviationInterpreting outliers - 4
Vectors and matrices, visually
Build intuition for the structures used in NumPy and machine learning
VectorsVector operationsMatricesRows and columnsMatrix shapesBasic matrix operations in NumPy - 5
Correlation versus causation
Interpret relationships between variables without overstating conclusions
Scatter plotsPositive and negative correlationConfounding factorsRainfall and crop-yield example - 6
Basic calculus intuition
Understand rate of change without advanced proofs
Change over timeSlope as rate of changeGradients in plain languageWhy optimisation matters in AI - 7
Probability distributions in plain language
Recognise how values and uncertainty may be distributed
Discrete and continuous dataNormal distribution intuitionExpected valueVariation and spreadReading distribution graphs - 8
Math Behind AI capstone
Apply the course concepts to a practical Uganda-based mini-project
Collect or use sample boda-boda fuel-cost dataCalculate descriptive statisticsPlot costs in ExcelFit a simple trend linePredict the next month's costExplain assumptions and limitations
Before you enroll
- Successful completion of Course:Data Literacy & Spreadsheets for Analysis
- Basic arithmetic and secondary-school mathematics
- Basic computer skills
- Ability to follow simple formulas and graphs
What you need
- Computer
- Reliable internet connection
- Microsoft Excel or compatible spreadsheet software
- Python 3
- NumPy
- Jupyter Notebook or Google Colab
- Basic calculator
- Notebook and pen
Frequently asked questions
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