MATH131

MULTIVARIATE CALCULUS

Also listed under 1 other title
  • MULTIVARIATE CALC LAB
Department
Mathematics
Terms offered
31
Data refreshed
Sep 29, 2026

Description

A continuation of calculus ( MATH 120 , MATH 121 , or MATH 124 , MATH 125 ). Multivariate calculus uses linear algebra to extend the important concepts of single-variable calculus to higher-dimensional settings. Topics include scalar-valued and vector-valued functions, graphs, level sets, limits and continuity; partial derivatives, gradients, tangent planes, differentiability, total derivatives, directional derivatives; paths, velocity, acceleration, arclength, curvature, vector fields, divergence, curl; extrema, Hessians; multiple integrals, change of variables, Jacobians; line integrals, Green's theorem; surface integrals, Stokes' theorem, and Gauss's theorem.

Syllabi

Sign in with your @clarku.edu email to view syllabi.

Offering history & forecast 2016–2026

1996
2026
Sections offered by academic year and season, with estimated offering chances for future years above the divider
YearFallSpringSummerIntersession
2030 2030 Fall: 7% chance, medium confidence. Offered in 0 of 9 fall terms since 2018. 2030 Spring: 50% chance, medium confidence. Offered in every spring term since 2018. Department course count falling about 4% per year. Department faculty is about 17% below its recent average. 2030 Summer: 7% chance, medium confidence. Offered in 0 of 9 summer terms since 2018. 2030 Intersession: 8% chance, medium confidence. Offered in 0 of 6 intersession terms since 2020.
2029 2029 Fall: 6% chance, medium confidence. Offered in 0 of 10 fall terms since 2017. 2029 Spring: 61% chance, medium confidence. Offered in every spring term since 2017. Department faculty is about 19% below its recent average. 2029 Summer: 6% chance, medium confidence. Offered in 0 of 10 summer terms since 2017. 2029 Intersession: 7% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017.
2028 2028 Fall: 5% chance, medium confidence. Offered in 0 of 11 fall terms since 2016. 2028 Spring: 65% chance, medium confidence. Offered in every spring term since 2016. Section count rising about 1% per year over 3 terms. Department faculty is about 21% below its recent average. 2028 Summer: 5% chance, medium confidence. Offered in 0 of 11 summer terms since 2016. 2028 Intersession: 7% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017.
2027 2027 Fall: 5% chance, high confidence. Offered in 0 of 12 fall terms since 2015. 2027 Spring: 68% chance, medium confidence. Offered in every spring term since 2015. Section count rising about 1% per year over 4 terms. Department faculty is about 24% below its recent average. 2027 Summer: 5% chance, high confidence. Offered in 0 of 12 summer terms since 2015. 2027 Intersession: 6% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017.
2026 Not offered 1 section Not offered No data for this term
2025 Not offered 1 section Not offered Not offered
2024 Not offered 2 sections Not offered Not offered
2023 Not offered 2 sections Not offered Not offered
2022 Not offered 2 sections Not offered Not offered
2021 Not offered 2 sections Not offered Not offered
2020 Not offered 2 sections Not offered Not offered
2019 Not offered 2 sections Not offered No data for this term
2018 Not offered 2 sections Not offered No data for this term
2017 Not offered 2 sections Not offered Not offered
2016 Not offered 2 sections Not offered No data for this term
Forecast Under 15% 15–39% 40–69% 70–89% 90%+ Not enough history
Fall Spring Summer Intersession Darker means more sections Not offered No data for term

Future estimates combine recent offering frequency with detected multi-year cycles. Hover a cell for confidence and evidence; low-confidence estimates are marked with ~.

Meeting times

Most recent first
  • Tue, Thu, 10:25 AM–11:40 AM BP316 20262017-12015
  • Mon, Wed, Fri, 11:00 AM–11:50 AM BP217 202520102005-22004-22003-12002-1
  • Mon, Wed, 12:00 PM–1:15 PM BP316 2020
  • Tue, Thu, 6:00 PM–7:15 PM JC106 2019
  • Mon, Wed, 4:15 PM–5:30 PM BP217 2017-2
  • Mon, Thu, 2:50 PM–4:05 PM BP316 2016
  • Tue, Fri, 1:25 PM–2:40 PM BP316 20132012-1
  • Tue, Thu, 4:15 PM–5:30 PM BP326 2012-22011-12009
2025–26 1 entry
Credit-bearing sections of MATH131, 2025–26
TermProfessorTypeCreditsEnrollmentCRN
Spring 2026Ali MaalaouiLecture1 30 of 25 enrolled30151
2024–25 1 entry
Credit-bearing sections of MATH131, 2024–25
TermProfessorTypeCreditsEnrollmentCRN
Spring 2025Robert O. ReamLecture1 29 of 25 enrolled30151
2023–24 2 entries
Credit-bearing sections of MATH131, 2023–24
TermProfessorTypeCreditsEnrollmentCRN
Spring 2024Dennis R. FrazierLecture1 15 of 25 enrolled30151
Spring 2024Tim D. AntonelliLecture1 11 of 24 enrolled30152
2022–23 2 entries
Credit-bearing sections of MATH131, 2022–23
TermProfessorTypeCreditsEnrollmentCRN
Spring 2023Gideon Bahir-MaschlerLecture1 19 of 25 enrolled30151
Spring 2023Gideon Bahir-MaschlerLecture1 10 of 24 enrolled30152
2021–22 2 entries
Credit-bearing sections of MATH131, 2021–22
TermProfessorTypeCreditsEnrollmentCRN
Spring 2022Gideon Bahir-MaschlerLecture1 13 of 25 enrolled30151
Spring 2022Gideon Bahir-MaschlerLecture1 6 of 24 enrolled30152
2020–21 2 entries
Credit-bearing sections of MATH131, 2020–21
TermProfessorTypeCreditsEnrollmentCRN
Spring 2021Gideon Bahir-MaschlerOnline1 23 of 24 enrolled30644
Spring 2021Gideon Bahir-MaschlerOnline1 14 of 24 enrolled30649
2019–20 2 entries
Credit-bearing sections of MATH131, 2019–20
TermProfessorTypeCreditsEnrollmentCRN
Spring 2020Gideon Bahir-MaschlerLecture1 24 of 24 enrolled30644
Spring 2020Gideon Bahir-MaschlerLecture1 22 of 24 enrolled30649
2018–19 2 entries
Credit-bearing sections of MATH131, 2018–19
TermProfessorTypeCreditsEnrollmentCRN
Spring 2019William C. SanguinetLecture1 32 of 24 enrolled30649
Spring 2019Michael SatzLecture1 14 of 24 enrolled30644
2017–18 2 entries
Credit-bearing sections of MATH131, 2017–18
TermProfessorTypeCreditsEnrollmentCRN
Spring 2018William C. SanguinetLecture1 16 of 24 enrolled30644
Spring 2018Gideon Bahir-MaschlerLecture1 17 of 24 enrolled30649
2016–17 2 entries
Credit-bearing sections of MATH131, 2016–17
TermProfessorTypeCreditsEnrollmentCRN
Spring 2017Gideon Bahir-MaschlerLecture1 28 of 24 enrolled30644
Spring 2017Amir Babak AazamiLecture1 29 of 24 enrolled30649
2015–16 2 entries
Credit-bearing sections of MATH131, 2015–16
TermProfessorTypeCreditsEnrollmentCRN
Spring 2016Jacqueline M. DreschLecture1 26 of 24 enrolled30649
Spring 2016Lawrence E. MorrisLecture1 19 of 24 enrolled30644
2014–15 2 entries
Credit-bearing sections of MATH131, 2014–15
TermProfessorTypeCreditsEnrollmentCRN
Spring 2015Gideon Bahir-MaschlerLecture1 25 of 24 enrolled30644
Spring 2015Lawrence E. MorrisLecture1 12 of 24 enrolled30649
2013–14 2 entries
Credit-bearing sections of MATH131, 2013–14
TermProfessorTypeCreditsEnrollmentCRN
Spring 2014David E. JoyceLecture1 22 of 25 enrolled30644
Spring 2014Gideon Bahir-MaschlerLecture1 14 of 25 enrolled30649
2012–13 2 entries
Credit-bearing sections of MATH131, 2012–13
TermProfessorTypeCreditsEnrollmentCRN
Spring 2013Gideon Bahir-MaschlerLecture1 25 of 25 enrolled30644
Spring 2013Dominik ReinholdLecture1 22 of 25 enrolled30649
2011–12 2 entries
Credit-bearing sections of MATH131, 2011–12
TermProfessorTypeCreditsEnrollmentCRN
Spring 2012Dominik ReinholdLecture1 15 of 25 enrolled30649
Spring 2012Stacey HancockLecture1 27 of 25 enrolled30644
2010–11 2 entries
Credit-bearing sections of MATH131, 2010–11
TermProfessorTypeCreditsEnrollmentCRN
Spring 2011Gideon Bahir-MaschlerLecture1 19 of 20 enrolled38994
Spring 2011Michael SatzLecture1 12 of 25 enrolled38999
2009–10 1 entry
Credit-bearing sections of MATH131, 2009–10
TermProfessorTypeCreditsEnrollmentCRN
Spring 2010David E. JoyceLecture1 30 of 35 enrolled37913
2008–09 1 entry
Credit-bearing sections of MATH131, 2008–09
TermProfessorTypeCreditsEnrollmentCRN
Spring 2009Gideon Bahir-MaschlerLecture1 26 of 30 enrolled33645
2007–08 1 entry
Credit-bearing sections of MATH131, 2007–08
TermProfessorTypeCreditsEnrollmentCRN
Spring 2008Natalia C. SternbergLecture1 21 of 30 enrolled33645
2006–07 1 entry
Credit-bearing sections of MATH131, 2006–07
TermProfessorTypeCreditsEnrollmentCRN
Spring 2007Natalia C. SternbergLecture1 26 of 30 enrolled33645
2005–06 1 entry
Credit-bearing sections of MATH131, 2005–06
TermProfessorTypeCreditsEnrollmentCRN
Spring 2006Arthur W. ChouLecture1 21 of 30 enrolled33645
2004–05 2 entries
Credit-bearing sections of MATH131, 2004–05
TermProfessorTypeCreditsEnrollmentCRN
Spring 2005David E. JoyceLecture1 8 of 25 enrolled30140
Spring 2005David E. JoyceLecture1 18 of 25 enrolled31438
2003–04 2 entries
Credit-bearing sections of MATH131, 2003–04
TermProfessorTypeCreditsEnrollmentCRN
Spring 2004Natalia C. SternbergLecture1 10 of 25 enrolled30140
Spring 2004Natalia C. SternbergLecture1 21 of 25 enrolled31438
2002–03 1 entry
Credit-bearing sections of MATH131, 2002–03
TermProfessorTypeCreditsEnrollmentCRN
Spring 2003Arthur W. ChouLecture1 14 of 25 enrolled30587
2001–02 1 entry
Credit-bearing sections of MATH131, 2001–02
TermProfessorTypeCreditsEnrollmentCRN
Spring 2002Lee N. RudolphLecture1 32 of 50 enrolled30587
2000–01 1 entry
Credit-bearing sections of MATH131, 2000–01
TermProfessorTypeCreditsEnrollmentCRN
Spring 2001Lee N. RudolphLecture1 13 of 25 enrolled30587
1999–00 1 entry
Credit-bearing sections of MATH131, 1999–00
TermProfessorTypeCreditsEnrollmentCRN
Spring 2000Natalia C. SternbergLecture1 16 of 25 enrolled30587
1998–99 1 entry
Credit-bearing sections of MATH131, 1998–99
TermProfessorTypeCreditsEnrollmentCRN
Spring 1999Natalia C. SternbergLecture1 14 of 35 enrolled30587
1997–98 1 entry
Credit-bearing sections of MATH131, 1997–98
TermProfessorTypeCreditsEnrollmentCRN
Spring 1998Natalia C. SternbergLecture1 19 of 35 enrolled30587
1996–97 1 entry
Credit-bearing sections of MATH131, 1996–97
TermProfessorTypeCreditsEnrollmentCRN
Spring 1997John F. KennisonLecture1 21 of 30 enrolled30587
1995–96 1 entry
Credit-bearing sections of MATH131, 1995–96
TermProfessorTypeCreditsEnrollmentCRN
Spring 1996Gabriel KatzLecture1 16 of 30 enrolled30587

No-credit sessions

No-credit sections of MATH131
TermProfessorTypeCreditsEnrollmentCRN
Spring 2003Arthur W. ChouLab- 14 of 25 enrolled34584
Spring 2002Lee N. RudolphLab- 32 of 50 enrolled34584
Spring 2001Lee N. RudolphLab- 11 of 25 enrolled34584
Spring 2000Natalia C. SternbergLab- 16 of 25 enrolled34584