A quarter system runs three terms a year where a semester system runs two, so a quarter unit carries two thirds of the classroom time. The conversion is multiplication by 2/3 one way and 3/2 the other. Done in exact rationals, the round trip is the identity: convert quarter units to semester and back and you have the number you started with, with no drift. Done in floating point it is nearly the identity, which is a different thing, and the difference shows up at exactly the boundary cases where a requirement is met or missed by a hair.
Erika/Nursing.lean
Five quarter units of A and P are not five semester units.
This is the case that comes up most. A student transfers a five-quarter-unit anatomy and physiology course into a program asking for five semester units. The conversion gives ten thirds, about 3.33, and there is a shortfall of one and two thirds units. Nothing has gone wrong and nobody miscounted. The general fact is proved: for any positive quantity of quarter units, the semester figure is strictly smaller, so a quarter-system transcript systematically needs more coursework to clear the same bar.
Erika/Units.lean
Convert the total or convert the courses. Same answer.
Conversion is linear, which sounds obvious and is worth proving, because it is the property that lets an evaluator work either way. Add up a student's quarter units and convert once, or convert each course and add the results, and the totals agree exactly. Conversion is also strictly increasing, so more quarter units never converts to fewer semester units. Together these are the properties that make a converted transcript something you can reason about instead of re-derive.
Equivalency is a map, and wider maps only help.
Articulation matches a course taken to a requirement satisfied. The corpus proves broadening that map never reduces what is satisfied, and that the courses still outstanding are exactly the requirements the map does not reach. Which agreements are in force this year is the college's answer, not this page's.
The former automatic transcript evaluator has been retired. It was not bound to a versioned College of the Canyons policy or an official course-equivalency decision and therefore could not safely determine eligibility or admission.
What remains authoritative
Use the college's current sources and review process
COC performs official transcript review and multicriteria selection. Completing prerequisites does not guarantee admission. This site does not parse transcripts, infer equivalencies, calculate an official prerequisite GPA, or issue an admission verdict.
The receipt below pins the rational identity; the tool beneath it applies the same factor. Neither decides whether a course transfers, satisfies a laboratory requirement, or counts toward the nursing program.
A quarter unit is two thirds of a semester unit. Five quarter units of anatomy and physiology come to exactly ten thirds, which does not meet a five-unit requirement. Computed in exact rationals, so the round trip back to quarter units is the identity rather than nearly the identity, and boundary cases resolve the same way twice.
Erika/Units.lean:29 · 6f19e6b · sha256 1b9e1a60
Arithmetic converter
This applies the formal model's rational factor of 2/3. Colleges make course-specific equivalency, laboratory, recency, and transfer-credit decisions separately.
2.67
semester-unit arithmetic result
4 × 2/3 = 2.67
quarter_to_semester_roundtrip
semesterToQuarter (quarterToSemester q) = q Exact rational identity only. It is not an official equivalency or admission receipt.
Pinned, not deployed
The conjunction identity stays in source
One more receipt exists in the pinned corpus. It says that when an admission record is defined as the conjunction of three flags, the record is admitted exactly when all three hold. No runtime on this site evaluates a transcript against it.
Three conditions gate a nursing prerequisite record: areas covered, GPA clear, units sufficient. All three or none, with no partial credit and no compensating between them. Returns which of the three a course list meets, the computed GPA, and the exact shortfall in each area that misses. Which conditions are in force this year is the college's answer.