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Vocabulary flashcards covering mathematical expressions and symbols, academic roles and university study terminology with Polish equivalents, and specialized environmental engineering concepts.
Plus or minus (±)
A mathematical symbol indicating a choice of two possible signs, addition or subtraction (for example, x±5 is read as "x plus or minus five").
Approximately equal to (≈)
A mathematical relation indicating that two quantities are nearly equal rather than exact (for example, x≈7 is read as "x approximately equal to seven").
Not equal to (=)
A mathematical relation stating that two quantities or expressions do not have the same value (for example, x=6 is read as "x not equal to six").
Squared (2)
The mathematical operation of raising a base number to the power of two (for example, 52 is read as "five squared").
Cubed (3)
The mathematical operation of raising a base number to the power of three (for example, 63 is read as "six cubed").
To the power four (4)
The mathematical operation of raising a base number to an exponent of four (for example, 74 is read as "seven to the power four").
Root ()
A mathematical symbol denoting the extraction of the root (such as the square root) of a number or expression.
Rector
The head or principal of a university or institution of higher education (in Polish: rektor).
Dean
The head of a specific university faculty or department (in Polish: dziekan).
Thesis supervisor
An academic assigned to mentor, direct, and oversee a student's thesis or dissertation (in Polish: promotor).
Examiner of a thesis
An academic appointed to formally read, evaluate, and provide a critique of a student's thesis (in Polish: recenzent (pracy magisterskiej)).
Teaching Assistant (TA)
An academic staff member who assists a professor with instructional or laboratory responsibilities (in Polish: asystent).
BSc (Bachelor of Science)
An undergraduate degree in engineering or the natural/applied sciences (in Polish: inżynier / studia inżynierskie).
MSc (Master of Science)
A graduate degree awarded in technical, engineering, or scientific fields (in Polish: magister inżynier / studia magisterskie (techniczne)).
BA (Bachelor of Arts)
An undergraduate academic title awarded upon completion of a 3-year programme in the humanities (in Polish: licencjat (stopień po ukończeniu 3-letnich studiów humanistycznych)).
MA (Master of Arts)
A postgraduate degree awarded in the field of the humanities (in Polish: magister (nauk humanistycznych)).
Extramural studies
Part-time or weekend university studies designed for students not attending daily courses (in Polish: studia zaoczne).
The exact sciences
Disciplines that admit of absolute precision in their results, such as mathematics and physics (in Polish: nauki ścisłe).
The humanities
Branches of learning that investigate human culture, language, history, and society (in Polish: nauki humanistyczne).
Expertise
Expert skill or specialized knowledge within a particular discipline or field (in Polish: wiedza specjalistyczna).
Certificate of completion
An official academic document confirming that a student has completed all required coursework of a degree programme prior to defending a thesis (in Polish: absolutorium).
Index book
An official student booklet or logbook used to record course registrations, credits, and examination grades (in Polish: indeks).
Scientific circle
A student-led academic society or research interest group (in Polish: koło naukowe).
Exam session
The formal period at the end of a university semester dedicated to end-of-term examinations (in Polish: sesja egzaminacyjna).
Resit / retake exam
A second examination opportunity given to a student who failed an initial examination attempt (in Polish: egzamin poprawkowy).
Maintenance grant
A financial subsidy provided to university students based on financial need or social circumstances (in Polish: stypendium socjalne).
Scholarship
Financial assistance awarded to students on the basis of academic or scientific achievement (in Polish: stypendium naukowe).
Syllabus
An outline or programme detailing the subjects, requirements, and schedule for a specific course of study (in Polish: program studiów).
Sedimentation
The process in which solid particles settle at the bottom of a liquid, removing suspended solids from water (in Polish: sedymentacja).
Aeration
The process of adding air to water, supplying oxygen to microorganisms in a treatment plant (in Polish: napowietrzanie).
Desalination
The process of removing salt from seawater to provide drinking water in dry regions (in Polish: odsalanie).
Groundwater
Water stored beneath the Earth's surface that acts as an important source of drinking water (in Polish: wody podziemne).
Renewable energy
Energy derived from natural sources that naturally replenish, helping reduce greenhouse gas emissions (in Polish: energia odnawialna).
Wastewater treatment
The process of removing pollutants from wastewater to protect rivers and lakes from pollution (in Polish: oczyszczanie ścieków).
Water scarcity
A situation in which there is not enough available water to meet demand (in Polish: niedobór wody).
Carbon footprint
The total amount of greenhouse gases that an individual, activity, or product generates (in Polish: ślad węglowy).
Eutrophication
The excessive growth of algae caused by an overabundance of nutrients in water, which can deplete oxygen levels in lakes (in Polish: eutrofizacja).
Biodegradation
The breakdown of organic substances and waste by microorganisms (in Polish: biodegradacja).