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

Chi-Keung Cheung

Mathematics · 17 evaluation records across 8 classes

On each class's board
MATH 44271st of 2 instructorsMATH 44804th of 9 instructorsMATH 22023rd of 25 instructors ProvisionalMATH 33201st of 7 instructors ProvisionalMATH 4465only instructor on record ProvisionalMATH 11019th of 26 instructors ProvisionalMATH 44511st of 3 instructors ProvisionalMATH 44553rd of 3 instructors Provisional
What the overall is made of
92BC evaluations17 records · weight ×1.0 · Fall 2021 – Spring 2026
92RateMyProfessors11 ratings · weight ×2.0 · 91% 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
93rdMore challenging than 93% of BC instructorsranked against every one we hold
95BC — “Intellectually Challenging”17 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 60 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
84thMore work than 84% of BC instructorsranked against every one we hold
64BC — “Workload”17 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: 11 ratings, 91% would take again, difficulty 60 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 17 records
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9462nd pctl
Available Outside of ClassThe instructor was available for help outside of class.
9573rd pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9466th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9462nd pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9476th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9478th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9261st pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9694th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
8840th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8734th 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.
6484th pctl
Intellectually ChallengingThe course was intellectually challenging.
9593rd pctl
Attendance MattersAttending class was necessary to do well in this course.
9691st 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

8 classes · 17 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 4427 Mathematical StatisticsOvr90Chal76thWork81st
On this class's board1st of 2 instructors

5 sections on record · course itself rated 87 out of 100. See the full board for MATH 4427.

TermSecInstrCourseWork
Fall 202501978960
Fall 202401898860
Fall 2023018582
Fall 202201908660
Fall 202101909180
All 13 items for MATH 4427
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9240th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9453rd pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9348th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9445th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9469th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9468th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9463rd pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9683rd 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.
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.
6581st pctl
Intellectually ChallengingThe course was intellectually challenging.
9576th 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 4480 Topics in MathematicsOvr90Chal84thWork81st
On this class's board4th of 9 instructors

3 sections on record · course itself rated 86 out of 100. See the full board for MATH 4480.

TermSecInstrCourseWork
Spring 202403898980
Spring 202303857560
Spring 202203979360
All 13 items for MATH 4480
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9564th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9558th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9239th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9235th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9571st pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9680th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9245th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9578th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
8626th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
787th 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.
6781st pctl
Intellectually ChallengingThe course was intellectually challenging.
9684th pctl
Attendance MattersAttending class was necessary to do well in this course.
9676th 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 2202 Multivariable CalculusOvr93Chal71stWork78th
On this class's board3rd of 25 instructors Provisional

2 sections on record · course itself rated 87 out of 100. See the full board for MATH 2202.

TermSecInstrCourseWork
Spring 202407948960
Fall 2023069286
All 13 items for MATH 2202
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9558th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9345th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9346th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9343rd pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9468th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9468th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9138th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9681st pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9040th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
9039th 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.
9471st 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 3320 Introduction to AnalysisOvr95Chal89thWork85th
On this class's board1st of 7 instructors Provisional

2 sections on record · course itself rated 89 out of 100. See the full board for MATH 3320.

TermSecInstrCourseWork
Fall 202401999360
Fall 202201928580
All 13 items for MATH 3320
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.
9671st pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9672nd pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9661st pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9678th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9680th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
8929th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9787th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9151st pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
9251st 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.
7085th pctl
Intellectually ChallengingThe course was intellectually challenging.
9789th pctl
Attendance MattersAttending class was necessary to do well in this course.
9784th 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 4465 Advanced Data AnalysisOvr99Chal79thWork78th
On this class's boardonly instructor on record Provisional

2 sections on record · course itself rated 93 out of 100. See the full board for MATH 4465.

TermSecInstrCourseWork
Spring 202601979160
Spring 2025011009560
All 13 items for MATH 4465
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9562nd 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.
9882nd pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9878th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9890th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9784th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9463rd pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9683rd pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9358th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
9463rd 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.
9676th 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 1101 Calculus IIOvr89Chal44thWork78th
On this class's board9th of 26 instructors Provisional

1 section on record · course itself rated 82 out of 100. See the full board for MATH 1101.

TermSecInstrCourseWork
Fall 202501898260
All 13 items for MATH 1101
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9240th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9450th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9239th pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9340th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
8937th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9042nd pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
8925th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9575th pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9040th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
8624th 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.
9044th pctl
Attendance MattersAttending class was necessary to do well in this course.
9463rd 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 4451 Euclidean and Non-Euclidean GeometryOvr94Chal81stWork78th
On this class's board1st of 3 instructors Provisional

1 section on record · course itself rated 88 out of 100. See the full board for MATH 4451.

TermSecInstrCourseWork
Fall 202101948860
All 13 items for MATH 4451
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
9665th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9774th pctl
Brings Out Your Best WorkThe instructor motivated me to do my best work.
9672nd pctl
Sparked My InterestThe course stimulated my interest in the subject matter.
9878th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
9782nd pctl
Clear Learning GoalsThe learning objectives for the course were clear.
9783rd pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
9139th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9681st pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
9044th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
9674th 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.
9681st pctl
Attendance MattersAttending class was necessary to do well in this course.
9989th 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 4455 Mathematical Problem SolvingOvr80Chal86thWork78th
On this class's board3rd of 3 instructors Provisional

1 section on record · course itself rated 71 out of 100. See the full board for MATH 4455.

TermSecInstrCourseWork
Spring 202201807160
All 13 items for MATH 4455
The Professor4 items
Clearly Explains MaterialThe instructor was effective at creating an understanding of difficult subject matter.
8410th pctl
Available Outside of ClassThe instructor was available for help outside of class.
9558th 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.
8714th pctl
The Course3 items
Well-Organized CourseThe course was well organized.
788th pctl
Clear Learning GoalsThe learning objectives for the course were clear.
8211th pctl
Useful Beyond the CourseWhat I learned is applicable beyond this course.
8927th pctl
Assignments & Feedback3 items
Assignments Help You LearnAssignments and exams contributed to my learning.
9362nd pctl
Gives Feedback PromptlyI received feedback on my work in a timely manner.
789th pctl
Meaningful FeedbackThe feedback I received on my work was meaningful.
786th 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.
9686th 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.

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.