Carney Curve

Boston College course evaluations · every published number, ranked class by class

Positions account for how many records stand behind each number, so one perfect review does not outrank a semester of them. Every score shown is the real average — only the ordering is adjusted.

Instructor record · Mathematics · Fall 2021 – Spring 2026

Ian Biringer

Professor · Mathematics · 15 evaluation records across 7 classes

On each class's board
MATH 22164th of 15 instructorsMATH 110318th of 30 instructors ProvisionalMATH 88311st of 4 instructors ProvisionalMATH 88555th of 5 instructors ProvisionalMATH 44512nd of 3 instructors ProvisionalMATH 88091st of 3 instructors ProvisionalMATH 8832unrated · 2 instructors on record Provisional
What the overall is made of
91BC evaluations15 records · weight ×1.0 · Fall 2021 – Spring 2026
90RateMyProfessors4 ratings · weight ×2.0 · 100% would take again
Student reviewsno reviews — does not contribute

Sources are averaged by how much we trust each one and by how many records sit behind it, so a handful of reviews nudges the number rather than replacing it.

What the challenge rank is made of
79thMore challenging than 79% of BC instructorsranked against every one we hold
92BC — “Intellectually Challenging”15 records · raw score out of 100

Boston College's own “intellectually challenging” question — students answer it positively about courses that stretched them, so it measures intellectual challenge and NOT grading, workload or quality. Almost every BC class scores high on it, which is why it is shown as a rank rather than a score. RateMyProfessors separately rates this instructor 66 out of 100 for difficulty — that IS a difficulty measure, but it is about the person across everything they teach, not about any one class, so it is shown here rather than folded into the number above.

What the workload rank is made of
80thMore work than 80% of BC instructorsranked against every one we hold
60BC — “Workload”15 records · raw score out of 100

Boston College reports workload as one of five bands, not as a number of hours, and it does not publish what the bands mean — so this site will not translate it into hours. Higher means more work, which is not the same as worse.

Ratings from outside BC

Not evaluation data

Collected from RateMyProfessors, not from Boston College: 4 ratings, 100% would take again, difficulty 66 out of 100. Difficulty is not a quality signal in either direction — a harder course is not a worse one.

Anyone can post there — no @bc.edu check and no enrolment check — so it is weighted alongside the evaluation data, never above it.

The line

All 13 items · means across 15 records
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9354th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9353rd pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9255th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9355th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9052nd pctl
Clear Learning GoalsThe learning objectives for the course were clear.
8941st pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
8834th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9056th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9370th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
9048th pctl
Workload, difficulty & attendanceNot ratings
WorkloadHow much work the course took outside class, on Boston College's five-band scale — the band boundaries are not published, so this is not a number of hours.
6080th pctl
Intellectually ChallengingThe course was intellectually challenging.
9279th pctl
Attendance MattersAttending class was necessary to do well in this course.
9267th pctl

Bar length is the rank against every comparable record we hold, not the raw score: BC's questions all have a median around 4.5, so a raw-scale bar would be nearly full on every row and would tell you nothing. Every bar is one ink colour — nothing here is graded green or red. The hatched bars are not ratings at all: a higher number on either describes a different course, not a better one.

Class by class

7 classes · 15 sections

How each position is worked outPositions account for how many records stand behind each number, so one perfect review does not outrank a semester of them. Every score shown is the real average — only the ordering is adjusted.

MATH 2216 Introduction to Abstract MathematicsOvr90Chal86thWork80th
On this class's board4th of 15 instructors

6 sections on record · course itself rated 82 out of 100. See the full board for MATH 2216.

TermSecInstrCourseWork
Fall 202501888260
Fall 202502938560
Fall 202402888760
Fall 2024041008580
Spring 2022018677
Spring 202202827360
All 13 items for MATH 2216
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9027th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9024th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9347th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9338th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
8832nd pctl
Clear Learning GoalsThe learning objectives for the course were clear.
8620th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
8822nd pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
8936th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9465th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8727th pctl
Workload, difficulty & attendanceNot ratings
WorkloadHow much work the course took outside class, on Boston College's five-band scale — the band boundaries are not published, so this is not a number of hours.
6480th pctl
Intellectually ChallengingThe course was intellectually challenging.
9686th pctl
Attendance MattersAttending class was necessary to do well in this course.
9146th pctl

Bar length is the rank against every comparable record we hold, not the raw score: BC's questions all have a median around 4.5, so a raw-scale bar would be nearly full on every row and would tell you nothing. Every bar is one ink colour — nothing here is graded green or red. The hatched bars are not ratings at all: a higher number on either describes a different course, not a better one.

MATH 1103 Calculus II (Mathematics/Science Majors)Ovr77Chal89thWork78th
On this class's board18th of 30 instructors Provisional

2 sections on record · course itself rated 70 out of 100. See the full board for MATH 1103.

TermSecInstrCourseWork
Spring 202401787160
Spring 202402766860
All 13 items for MATH 1103
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
838th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9025th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
8310th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
848th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
8315th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
8211th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
804th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
8621st pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9251st pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8938th pctl
Workload, difficulty & attendanceNot ratings
WorkloadHow much work the course took outside class, on Boston College's five-band scale — the band boundaries are not published, so this is not a number of hours.
6078th pctl
Intellectually ChallengingThe course was intellectually challenging.
9789th pctl
Attendance MattersAttending class was necessary to do well in this course.
9038th pctl

Bar length is the rank against every comparable record we hold, not the raw score: BC's questions all have a median around 4.5, so a raw-scale bar would be nearly full on every row and would tell you nothing. Every bar is one ink colour — nothing here is graded green or red. The hatched bars are not ratings at all: a higher number on either describes a different course, not a better one.

MATH 8831 Geometry/Topology IIIOvr100Chal69thWork
On this class's board1st of 4 instructors Provisional

2 sections on record · course itself rated 100 out of 100. See the full board for MATH 8831.

TermSecInstrCourseWork
Fall 202301100100
Fall 202201100100
All 13 items for MATH 8831
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
100100th pctl
Available Outside of ClassThe instructor was available for help outside of class.
100100th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9351st pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
100100th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
100100th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
100100th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9356th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
100100th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
100100th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
100100th pctl
Workload, difficulty & attendanceNot ratings
Intellectually ChallengingThe course was intellectually challenging.
9369th pctl
Attendance MattersAttending class was necessary to do well in this course.
8726th pctl

Bar length is the rank against every comparable record we hold, not the raw score: BC's questions all have a median around 4.5, so a raw-scale bar would be nearly full on every row and would tell you nothing. Every bar is one ink colour — nothing here is graded green or red. The hatched bars are not ratings at all: a higher number on either describes a different course, not a better one. 1 of 13 questions were not reported and are left out rather than shown as zero.

MATH 8855 Topics in Geometry and TopologyOvr95Chal48thWork25th
On this class's board5th of 5 instructors Provisional

2 sections on record · course itself rated 90 out of 100. See the full board for MATH 8855.

TermSecInstrCourseWork
Spring 20250110090
Fall 202101909040
All 13 items for MATH 8855
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
100100th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9562nd pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9562nd pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9555th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9573rd pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9042nd pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9033rd pctl
Assignments & Feedback1 item
Assignments Help You LearnAssignments and exams contributed to my learning.
9578th pctl
Workload, difficulty & attendanceNot ratings
WorkloadHow much work the course took outside class, on Boston College's five-band scale — the band boundaries are not published, so this is not a number of hours.
4025th pctl
Intellectually ChallengingThe course was intellectually challenging.
9048th pctl
Attendance MattersAttending class was necessary to do well in this course.
9571st pctl

Bar length is the rank against every comparable record we hold, not the raw score: BC's questions all have a median around 4.5, so a raw-scale bar would be nearly full on every row and would tell you nothing. Every bar is one ink colour — nothing here is graded green or red. The hatched bars are not ratings at all: a higher number on either describes a different course, not a better one. 2 of 13 questions were not reported and are left out rather than shown as zero.

MATH 4451 Euclidean and Non-Euclidean GeometryOvr91Chal81stWork93rd
On this class's board2nd of 3 instructors Provisional

1 section on record · course itself rated 85 out of 100. See the full board for MATH 4451.

TermSecInstrCourseWork
Fall 202201918580
All 13 items for MATH 4451
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9880th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9881st pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9032nd pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9876th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9149th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9363rd pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
8513th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9361st pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
8832nd pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8829th pctl
Workload, difficulty & attendanceNot ratings
WorkloadHow much work the course took outside class, on Boston College's five-band scale — the band boundaries are not published, so this is not a number of hours.
8093rd pctl
Intellectually ChallengingThe course was intellectually challenging.
9681st pctl
Attendance MattersAttending class was necessary to do well in this course.
9355th pctl

Bar length is the rank against every comparable record we hold, not the raw score: BC's questions all have a median around 4.5, so a raw-scale bar would be nearly full on every row and would tell you nothing. Every bar is one ink colour — nothing here is graded green or red. The hatched bars are not ratings at all: a higher number on either describes a different course, not a better one.

MATH 8809 Geometry/Topology IIOvr100Chal0thWork25th
On this class's board1st of 3 instructors Provisional

1 section on record · course itself rated 100 out of 100. See the full board for MATH 8809.

TermSecInstrCourseWork
Spring 20230110010040
All 13 items for MATH 8809
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
100100th pctl
Available Outside of ClassThe instructor was available for help outside of class.
100100th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
100100th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
100100th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
100100th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
100100th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
100100th pctl
Assignments & Feedback2 items
Assignments Help You LearnAssignments and exams contributed to my learning.
808th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
100100th pctl
Workload, difficulty & attendanceNot ratings
WorkloadHow much work the course took outside class, on Boston College's five-band scale — the band boundaries are not published, so this is not a number of hours.
4025th pctl
Intellectually ChallengingThe course was intellectually challenging.
600th pctl
Attendance MattersAttending class was necessary to do well in this course.
100100th pctl

Bar length is the rank against every comparable record we hold, not the raw score: BC's questions all have a median around 4.5, so a raw-scale bar would be nearly full on every row and would tell you nothing. Every bar is one ink colour — nothing here is graded green or red. The hatched bars are not ratings at all: a higher number on either describes a different course, not a better one. 1 of 13 questions were not reported and are left out rather than shown as zero.

MATH 8832 Geometry/Topology IVOvrChalWork
On this class's boardunrated · 2 instructors on record Provisional

1 section on record · course itself rated — out of 100. See the full board for MATH 8832.

TermSecInstrCourseWork
Spring 202601
All 13 items for MATH 8832

Nothing reported

None of the evaluation questions were reported for these records.

How to read this pageScores are out of 100 — Boston College's 1–5 agreement scale, ×20, the way these numbers were printed for years. Almost every class scores high on that scale (the median is about 90), so challenge and workload are shown as a rank against every instructor we hold rather than as a score; the raw figure is in the breakdown above. Neither describes quality, and neither is ever marked better or worse anywhere on this site. A dash means the question was not reported, and is never a zero. The position printed against each class is this instructor's place on that class's own board, computed from the same records the board itself is built from.