Spring 2027

Calculus and Analytic Geometry 1

Calculus and Analytic Geometry 1 introduces differential and integral calculus, plane analytic geometry, applications, and transcendental functions.

offering recorded5 credits
Recorded instructors · Spring 2027 Matt DeLong4.1/5Rajula Srivastava3.4/5

Summary

1 / 6

Past student reviews · Rajula Srivastava

One student with a pre-calculus background had to reteach themselves majority of concepts after lectures. Another found that discussions were the most helpful resource for learning material and studying for quizzes and tests.

What you’ll be able to do

  • Apply differential calculus to analyze rates of change, and in particular to model real world phenomena (e.g., derivatives of exponential, logarithmic and trigonometric functions, first and second derivative tests for extrema, applied optimization, etc.).

  • Analyze the behavior of functions of one variable, including their asymptotic behavior, local behavior and existence of extrema (e.g., limits, continuity, tangent lines, finding extrema, etc.).

  • Apply integral calculus to model the cumulative effects of continuous processes (e.g., difference between indefinite and definite integral, the Fundamental Theorem of Calculus, computing areas, volumes, and surface areas, etc.).

  • Successfully perform computations related to limits, differentiation, and integration.

Source: UW Guide

Grade history

↗
average GPA
letter grades
A
AB
B
BC
C
D
F

All recorded terms · compare terms & instructors

Prerequisites

Course map

MATH 114 or (MATH 112 and 113) or placement into MATH 221. MATH 211 or MATH 213 does not fulfill the requisite.

MATH 221 used by

“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree

Professors

Spring 2027
Adjusted rating
RMP difficulty
captured reviews
About this rating

Raw average: 4.59/5 from 22 quality ratings. The adjusted rating blends this with the UW review average (3.66/5), weighted as 20 additional ratings. Smaller samples stay closer to that average. Each captured review is counted once in the prior; this does not correct who chooses to leave a review.

RMP profile ↗ · All captured review dates; profile matched by name.

No course-specific feedback yet.

Adjusted rating
RMP difficulty
captured reviews
About this rating

Raw average: 2.75/5 from 8 quality ratings. The adjusted rating blends this with the UW review average (3.66/5), weighted as 20 additional ratings. Smaller samples stay closer to that average. Each captured review is counted once in the prior; this does not correct who chooses to leave a review.

For this course: 2.4/5 raw quality · 3.3/5 difficulty · 7 reviews

RMP profile ↗ · All captured review dates; profile matched by name.

Past student reviews · Rajula Srivastava

Rajula Srivastava was described as caring and articulate, maintaining a light classroom atmosphere. Students noted her slides moved quickly and in-class practice problems lacked sufficient explanation, often requiring self-study to relearn material. She provided class time for exam review, and one student found discussions more helpful than lectures for studying.

Recent recorded grades — Fall 2025: 2.77 GPA, 31.6% A/AB (n=171 letter grades).

Historical instructors & teaching patterns

Past student reviews · Melissa Lindsey, Janine Janoski

Melissa Lindsey made calculus concepts easier for first-time students, and students found her engaging and clear. Janine Janoski valued personal connections, though students noted that three exams, each worth 29%, made recovery from a poor performance difficult.

ALEXANDER KISELEV is recorded teaching in Fall 2006, Fall 2009, Spring 2014. Recorded history may be incomplete and does not establish a future schedule.

ARNOLD W MILLER is recorded teaching in Fall 2013. Recorded history may be incomplete and does not establish a future schedule.

BRIAN STREET is recorded teaching in Fall 2016, Fall 2018, Spring 2020, Fall 2020. Recorded history may be incomplete and does not establish a future schedule.

CHANWOO KIM is recorded teaching in Fall 2024. Recorded history may be incomplete and does not establish a future schedule.

CRAIG C WESTERLAND is recorded teaching in Fall 2006. Recorded history may be incomplete and does not establish a future schedule.

GHEORGHE CRACIUN is recorded teaching in Fall 2017. Recorded history may be incomplete and does not establish a future schedule.

JANINE JANOSKI is recorded teaching in Spring 2025. Recorded history may be incomplete and does not establish a future schedule.

JEAN-LUC THIFFEAULT is recorded teaching in Spring 2008, Fall 2010. Recorded history may be incomplete and does not establish a future schedule.

JOEL ROBBIN is recorded teaching in Fall 2006, Fall 2011. Recorded history may be incomplete and does not establish a future schedule.

MELISSA LINDSEY is recorded teaching in Fall 2021. Recorded history may be incomplete and does not establish a future schedule.

RAJULA SRIVASTAVA is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.

STEVEN BAUMAN is recorded teaching in Spring 2009. Recorded history may be incomplete and does not establish a future schedule.

Recorded history may be incomplete and does not establish a future schedule.

Calendar & sections

Spring 2027

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction0 / 2210
DIS 307Classroom Instruction0 / 240
LEC 002Classroom Instruction0 / 1850
DIS 327Classroom Instruction0 / 240
DIS 309Classroom Instruction0 / 240
DIS 325Classroom Instruction0 / 240
DIS 306Classroom Instruction0 / 240
DIS 326Classroom Instruction0 / 240
DIS 304Classroom Instruction0 / 240
DIS 308Classroom Instruction0 / 240
LEC 003Classroom Instruction0 / 2180
DIS 342Classroom Instruction0 / 240
DIS 343Classroom Instruction0 / 240
DIS 345Classroom Instruction0 / 240
DIS 346Classroom Instruction0 / 240
DIS 347Classroom Instruction0 / 240
DIS 348Classroom Instruction0 / 240
DIS 330Classroom Instruction0 / 240
DIS 302Classroom Instruction0 / 240
DIS 303Classroom Instruction0 / 240
DIS 305Classroom Instruction0 / 240
DIS 329Classroom Instruction0 / 240
DIS 341Classroom Instruction0 / 240
DIS 344Classroom Instruction0 / 240
DIS 328Classroom Instruction0 / 240
DIS 301Classroom Instruction0 / 00
DIS 321Classroom Instruction0 / 240
DIS 322Classroom Instruction0 / 240

Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.

Meeting source records

Student experience

the class

Past student reviews · Rajula Srivastava

Rajula Srivastava created a light classroom atmosphere and articulated lectures clearly, though she moved through slides quickly and dedicated class time to exam reviews.

Recent recorded grades — Spring 2025: 2.66 GPA, 28.7% A/AB (n=686 letter grades); Fall 2025: 2.82 GPA, 36.1% A/AB (n=1169 letter grades); Spring 2026: 2.67 GPA, 29.4% A/AB (n=571 letter grades).

difficulty & workload

Past student reviews · Rajula Srivastava

One student with a pre-calculus background had to reteach themselves majority of concepts after lectures. Another found that discussions were the most helpful resource for learning material and studying for quizzes and tests.

Past student reviews · Rajula Srivastava

Students reported that the instructor taught as if everyone had taken calculus before, assuming prior knowledge. Some felt the pace was too fast, while others noted she spent too much time on simple concepts and not enough on complex ones.

Topics

  • Differential and integral calculus
  • Plane analytic geometry
  • Transcendental functions
  • Limits, continuity, and function behavior

Skills

  • Applying differential calculus to analyze rates of change and model real-world phenomena, including derivatives of transcendental functions and optimization.
  • Analyzing the behavior of single-variable functions, including limits, continuity, asymptotic behavior, and finding extrema.
  • Applying integral calculus to model cumulative effects of continuous processes, such as computing areas, volumes, and surface areas.
  • Performing computations related to limits, differentiation, and integration.

Grades

Historical instructor

Spring 2027 · Projected

Before grades are released

– average GPA

Approximate 80% prediction interval

About this estimate

The course’s semester-average GPA, not an individual student’s grade. The center uses 5 same-season terms, weighted toward recent results.

The range uses the finite-sample 80th-percentile rank of absolute errors from earlier same-season forecasts. Each forecast uses only records from earlier terms. At least four forecasts are required; bounds are rounded outward and limited to 0–4. This is an empirical estimate: changing instructors or grading policies can reduce its coverage.

8 earlier forecasts · 0.22 GPA average error.

Grades over time

Through Spring 2027

More grade details Grade mix, volume & source data

Where this course fits relative to

Latest available grades · Spring 2026 · all course levels

GPA

Higher than % of other courses in this group.

Course GPAs · red marks this course’s range

letter grades

More recorded grades than % of other courses in this group.

Typical course in this group: letter grades.

About this comparison

1280 courses over the same term, each with at least 30 recorded letter grades. Cross-listed courses count once. GPA is not a measure of difficulty or teaching quality. The typical course is the median by recorded grade count; tied values are not counted as lower. Grade counts describe course scale, not unique students or typical section size.

Descriptions compare GPA with this group’s average: at least 0.20 higher or lower; otherwise close to average. Section size uses median recorded enrollment: small up to 30, mid-sized 31–99, large 100+. Lectures and discussion/lab sections are described separately.

Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

Observations at scan time; dates do not imply when a catalog change took effect.

Selected offering source records
MATH 221 · Spring 2027

Calculus and Analytic Geometry 1

Recorded 2026-10-14
Raw records
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    "offering_id": "1274:600:011623",
    "course_id": "MATH 221",
    "course_uid": "course_cc1de60e9953cdd9c469e9a5",
    "term_id": "1274",
    "source_course_id": "011623",
    "source_subject_id": "600",
    "title": "Calculus and Analytic Geometry 1",
    "credits_min": 5,
    "credits_max": 5,
    "typically_offered": "Fall, Spring, Summer"
  }
]
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Student reviews

Original comments behind the course and instructor summaries.

Read original reviews
Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

Explore recorded grades
Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Model & dataset provenance
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