Civil Engineering
How the bridges, buildings, roads, dams, pipes and water a society runs on are designed to stand up, last and keep people safe.
For: anyone starting the degree, anyone who works on construction or infrastructure, anyone who has wondered why a skyscraper doesn't fall over.
Shaped by the ASCE Civil Engineering Body of Knowledge (3rd ed., 2019) and the classic sub-disciplines taught by every civil programme: structural, geotechnical, water, environmental, transportation and construction.
Year 1 · The language
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01ReadInteractiveQuiz10 min
Calculus I: Slopes, Totals and the Bridge Between Them
Loads, flows and settlements change across space and time: calculus describes them.
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02ReadInteractiveQuiz10 min
Physics I: Mechanics — Three Ways to Keep the Books
Every structure is Newton's laws standing still.
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03ReadInteractiveQuiz13 min
Linear Algebra: Machines That Move Space
A building frame has thousands of joints; matrices solve them together.
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04ReadInteractiveQuiz11 min
Programming Fundamentals: Instructions, State and Taking Things Apart
Civil engineers model in code and spreadsheets long before they pour concrete.
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05ReadInteractiveQuiz12 min
Engineering Drawing & CAD: The Contract Between Designer and Maker
Drawings are the contract between engineer and builder.
Year 2 · Forces and matter
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06ReadInteractiveQuiz10 min
Multivariable Calculus: Calculus on a Landscape
Wind, water and soil pressure vary over surfaces and volumes.
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07ReadInteractiveQuiz11 min
Differential Equations: Laws Written as Rates
Settlement, flow and cooling are differential equations.
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08ReadInteractiveQuiz11 min
Statics: Why Things Stand Still
Nothing that stands still has unbalanced forces; that one rule designs bridges.
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09ReadInteractiveQuiz12 min
Mechanics of Materials: Why Things Bend, Buckle and Break
Why beams bend, columns buckle and parts crack, and how to size them so they don't.
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10ReadInteractiveQuiz14 min
Materials Science & Manufacturing: Why Things Are Made of What They Are
Concrete, steel, timber and asphalt: why each is used where it is.
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11ReadInteractiveQuiz12 min
Probability & Statistics: Reasoning with Uncertainty
Loads, floods and material strengths are random; codes are built on statistics.
Year 3 · The sub-disciplines
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12ReadInteractiveQuiz13 min
Fluid Mechanics: Why Air and Water Push Back
Water pushes, flows and erodes; fluid mechanics is the rulebook.
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13ReadInteractiveQuiz13 min
Structural Analysis: How Forces Find Their Way to the Ground
How forces find their way down through a structure to the ground.
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14ReadInteractiveQuiz13 min
Geotechnical Engineering: Everything Stands on Soil
Everything stands on soil, and soil is the least predictable material there is.
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15ReadInteractiveQuiz13 min
Hydraulics & Water Resources: Moving Water Where People Need It
Rivers, floods, pipes and dams: moving water where people need it, and away from where they don't.
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16ReadInteractiveQuiz12 min
Vibrations: Everything Is a Spring and a Mass
Earthquakes and wind shake structures; resonance is the danger.
Year 4 · Designing for society
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17ReadInteractiveQuiz13 min
Structural Design: Concrete & Steel That Bend Before They Break
Turning forces into real beams, columns and slabs, under the codes that keep them safe.
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18ReadInteractiveQuiz14 min
Environmental Engineering: Clean Water In, Clean Water Out
Clean water in, clean water out: the engineering behind public health.
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19ReadInteractiveQuiz14 min
Transportation Engineering: Why Traffic Jams Form Out of Nothing
How roads, junctions and transit move people, and why new lanes fill up.
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20ReadInteractiveQuiz14 min
Construction Management: Why Big Projects Run Late
Scheduling, cost, contracts and safety: how a design actually gets built.
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21ReadInteractiveQuiz13 min
Corporate Finance: The Price of Time and Risk
Should we build it? Engineering economics is finance with a long horizon.
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22ReadInteractiveQuiz14 min
Systems Engineering & the Capstone: Many Parts, One Product
A project is many subsystems and stakeholders agreeing; that's the capstone.
MIT OpenCourseWare's Civil and Environmental Engineering course list, free; then the textbooks named at the end of each subject.
Mathematics
What is true for certain, why, and how far the structures of number, space and change reach.