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

Brian Lehmann

Professor · Mathematics · 11 evaluation records across 10 classes

On each class's board
MATH 44552nd of 3 instructors ProvisionalMATH 22165th of 15 instructors ProvisionalMATH 33104th of 7 instructors ProvisionalMATH 33203rd of 7 instructors ProvisionalMATH 33214th of 4 instructors ProvisionalMATH 33222nd of 3 instructors ProvisionalMATH 88074th of 4 instructors ProvisionalMATH 88261st of 2 instructors ProvisionalMATH 88272nd of 2 instructors ProvisionalMATH 88651st of 4 instructors Provisional
What the overall is made of
91BC evaluations11 records · weight ×1.0 · Fall 2021 – Spring 2026
Student reviewsno reviews — does not contribute
RateMyProfessorsno ratings — 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
97thMore challenging than 97% of BC instructorsranked against every one we hold
97BC — “Intellectually Challenging”11 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.

What the workload rank is made of
87thMore work than 87% of BC instructorsranked against every one we hold
68BC — “Workload”11 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.

The line

All 13 items · means across 11 records
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9467th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9575th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9467th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9351st pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9473rd pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9370th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9046th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9487th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9577th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
9367th 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.
6887th pctl
Intellectually ChallengingThe course was intellectually challenging.
9797th pctl
Attendance MattersAttending class was necessary to do well in this course.
9481st 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

10 classes · 11 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 4455 Mathematical Problem SolvingOvr92Chal79thWork78th
On this class's board2nd of 3 instructors Provisional

2 sections on record · course itself rated 88 out of 100. See the full board for MATH 4455.

TermSecInstrCourseWork
Fall 202401928860
Fall 2023019287
All 13 items for MATH 4455
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9670th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9563rd pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9456th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9556th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9039th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
8829th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9029th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9153rd pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
8420th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8833rd 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.
9579th pctl
Attendance MattersAttending class was necessary to do well in this course.
9572nd 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 2216 Introduction to Abstract MathematicsOvr89Chal90thWork78th
On this class's board5th of 15 instructors Provisional

1 section on record · course itself rated 80 out of 100. See the full board for MATH 2216.

TermSecInstrCourseWork
Spring 202603898060
All 13 items for MATH 2216
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9451st pctl
Available Outside of ClassThe instructor was available for help outside of class.
9452nd pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9345th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9445th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9359th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9042nd pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9350th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9363rd pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9572nd pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
9253rd 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.
9890th pctl
Attendance MattersAttending class was necessary to do well in this course.
9678th 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 3310 Introduction to Abstract AlgebraOvr82Chal93rdWork78th
On this class's board4th of 7 instructors Provisional

1 section on record · course itself rated 74 out of 100. See the full board for MATH 3310.

TermSecInstrCourseWork
Fall 202101827460
All 13 items for MATH 3310
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
8821st 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.
8718th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
847th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9256th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9254th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
741st pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
8832nd pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9255th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8315th 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.
9993rd pctl
Attendance MattersAttending class was necessary to do well in this course.
9675th 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 3320 Introduction to AnalysisOvr84Chal92ndWork93rd
On this class's board3rd of 7 instructors Provisional

1 section on record · course itself rated 74 out of 100. See the full board for MATH 3320.

TermSecInstrCourseWork
Spring 202501847480
All 13 items for MATH 3320
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
8923rd pctl
Available Outside of ClassThe instructor was available for help outside of class.
9347th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
8928th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
8713th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9145th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9148th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
731st pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
8416th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
8834th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8935th 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.
9892nd pctl
Attendance MattersAttending class was necessary to do well in this course.
8624th 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 3321 Analysis IOvr84Chal93rdWork100th
On this class's board4th of 4 instructors Provisional

1 section on record · course itself rated 69 out of 100. See the full board for MATH 3321.

TermSecInstrCourseWork
Fall 2022018469100
All 13 items for MATH 3321
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
8923rd pctl
Available Outside of ClassThe instructor was available for help outside of class.
9134th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
8926th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
8713th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9043rd pctl
Clear Learning GoalsThe learning objectives for the course were clear.
8830th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
827th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
8834th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9781st pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8935th 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.
100100th pctl
Intellectually ChallengingThe course was intellectually challenging.
9993rd pctl
Attendance MattersAttending class was necessary to do well in this course.
9144th 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 3322 Analysis IIOvr94Chal89thWork100th
On this class's board2nd of 3 instructors Provisional

1 section on record · course itself rated 87 out of 100. See the full board for MATH 3322.

TermSecInstrCourseWork
Spring 2023019487100
All 13 items for MATH 3322
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9666th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9667th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9668th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9773rd pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9785th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9992nd pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
8925th pctl
Assignments & Feedback2 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9681st 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.
100100th pctl
Intellectually ChallengingThe course was intellectually challenging.
9789th pctl
Attendance MattersAttending class was necessary to do well in this course.
9357th 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 8807 Algebra IIOvr90Chal100thWork
On this class's board4th of 4 instructors Provisional

1 section on record · course itself rated 90 out of 100. See the full board for MATH 8807.

TermSecInstrCourseWork
Spring 2026019090
All 13 items for MATH 8807
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9030th 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.
9032nd pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9025th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9043rd pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9042nd pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
100100th 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.
100100th pctl
Attendance MattersAttending class was necessary to do well in this course.
9042nd 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 8826 Algebraic Geometry IOvr100Chal100thWork25th
On this class's board1st of 2 instructors Provisional

1 section on record · course itself rated 100 out of 100. See the full board for MATH 8826.

TermSecInstrCourseWork
Fall 20250110010040
All 13 items for MATH 8826
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 & 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
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.
100100th 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.

MATH 8827 Algebraic Geometry IIOvr93Chal29thWork25th
On this class's board2nd of 2 instructors Provisional

1 section on record · course itself rated 87 out of 100. See the full board for MATH 8827.

TermSecInstrCourseWork
Spring 202501938740
All 13 items for MATH 8827
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.
9349th 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.
9343rd pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9363rd pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9363rd pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
100100th 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
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.
8729th pctl
Attendance MattersAttending class was necessary to do well in this course.
9361st 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 8865 Topics in Algebraic GeometryOvr100Chal100thWork
On this class's board1st of 4 instructors Provisional

1 section on record · course itself rated 100 out of 100. See the full board for MATH 8865.

TermSecInstrCourseWork
Spring 202301100100
All 13 items for MATH 8865
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.
100100th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
100100th pctl
Workload, difficulty & attendanceNot ratings
Intellectually ChallengingThe course was intellectually challenging.
100100th 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. 2 of 13 questions were not reported and are left out rather than shown as zero.

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.