Topics in Mathematics with Applications in Finance
Video lessons from MIT OpenCourseWare. Follow the source programme and review the topics covered by each lesson.
Explore the courseFind your next course
Free courses, professional programmes, study tracks and continuing education.
Pandas, from CSV to a grouped report
Inspect a small dataset, handle missing values and build a summary whose counts and totals can be checked against the original rows.
Explore the courseMatrices and linear transformations
Build a matrix from the images of basis vectors, predict the effect on a grid and explain why the order of matrix multiplication matters.
Explore the courseAlgorithm analysis: count operations before timing
Derive growth rates from loops and use a small trace to check an asymptotic claim.
Explore the courseMusic theory: intervals, scales and transposition
Use a keyboard diagram to count semitones and transpose a melody while preserving its shape.
Explore the courseDistances in astronomy: light-years and stellar parallax
Compare distance units and explain how a change in viewpoint helps infer stellar distance.
Explore the courseNetworking fundamentals: diagnose a failed connection
Separate name resolution, reachability and application errors using a small diagnostic trace.
Explore the courseHTTP APIs: requests, responses and pagination
Read an API contract, interpret responses and write a plan for retrieving a complete collection.
Explore the courseFundamentals of 3D modelling
Deliver a simple model with checked units, mesh geometry and export compatibility.
Explore the courseEnergy and device consumption
Calculate energy from power and time, then compare measurements on a common basis.
Explore the courseGraphic design and visual hierarchy
Design an information card whose title, details and action can be located at a glance.
Explore the courseCommunication in international teams
Write clear requests, handovers and decisions across languages and time zones.
Explore the courseProject budgeting and cost control
Separate estimates, actual costs and commitments and explain the difference between them.
Explore the courseTime planning and prioritisation
Plan around actual capacity, dependencies and short reviews of what happened.
Explore the courseArgumentative writing and source checking
Write a short argument with a testable claim, evidence, a counterargument and traceable references.
Explore the courseObserving risks and reporting findings
Record observations that responsible staff can use for review and follow-up.
Explore the courseMeasuring and documenting a floor plan
Capture measurements, identify uncertainties and produce a plan another person can check.
Explore the coursePractical web accessibility
Check structure, forms and keyboard navigation on a small screen and a desktop.
Explore the courseSQL for reporting and data checks
Build and verify reports with date filters, aggregates and joins.
Explore the courseCleaning and summarising data with Python
Read a CSV, log rejected rows and produce a reproducible summary.
Explore the courseInterior photography and lighting
Plan camera position, exposure and colour for a consistent set of interior images.
Explore the courseIndustrial history through archival sources
Build a documented interpretation from records and photographs, with clear limits on each claim.
Explore the courseClimate and environmental time series
Compare observations with a stated baseline and account for gaps and changes in how data was collected.
Explore the coursePercentages and ratios for everyday decisions
Compare values with different baselines and check weighted rates and reverse percentages.
Explore the course