MATH 51: Linear Algebra, Multivariable Calculus, and Modern Applications
This course provides unified coverage of linear algebra and multivariable differential calculus, and the free course e-text connects the material to many fields. Linear algebra in large dimensions underlies the scientific, data-driven, and computational tasks of the 21st century. The linear algebra portion includes orthogonality, linear independence, matrix algebra, and eigenvalues with applications such as least squares, linear regression, and Markov chains (relevant to population dynamics, molecular chemistry, and PageRank); the singular value decomposition (essential in image compression, topic modeling, and data-intensive work in many fields) is introduced in the final chapter of the e-text. The multivariable calculus portion includes unconstrained optimization via gradients and Hessians (used for energy minimization), constrained optimization (via Lagrange multipliers, crucial in economics), gradient descent and the multivariable Chain Rule (which underlie many machine learning al
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This course provides unified coverage of linear algebra and multivariable differential calculus, and the free course e-text connects the material to many fields. Linear algebra in large dimensions underlies the scientific, data-driven, and computational tasks of the 21st century. The linear algebra portion includes orthogonality, linear independence, matrix algebra, and eigenvalues with applications such as least squares, linear regression, and Markov chains (relevant to population dynamics, molecular chemistry, and PageRank); the singular value decomposition (essential in image compression, topic modeling, and data-intensive work in many fields) is introduced in the final chapter of the e-text. The multivariable calculus portion includes unconstrained optimization via gradients and Hessians (used for energy minimization), constrained optimization (via Lagrange multipliers, crucial in economics), gradient descent and the multivariable Chain Rule (which underlie many machine learning algorithms, such as backpropagation), and Newton's method (an ingredient in GPS and robotics). The course emphasizes computations alongside an intuitive understanding of key ideas. The widespread use of computers makes it important for users of math to understand concepts: novel users of quantitative tools in the future will be those who understand ideas and how they fit with examples and applications. This is the only course at Stanford whose syllabus includes nearly all the math background for
CS 229, which is why
CS 229 and
CS 230 specifically recommend it (or other courses resting on it). For frequently asked questions about the differences between
Math 51 and
CME 100, see the FAQ on the placement page on the Math Department website. Prerequisite:
Math 21 or equivalent (e.g. 5 on the AP Calculus BC test or suitable score on certain international exams:
https://studentservices.stanford.edu/my-academics/earn-my-degree/undergraduate-degree-progress/test-transfer-credit/external-test-2). If you have not previously taken a calculus course at Stanford, then you must have taken the math placement diagnostic (offered through the Math Department website:
https://mathematics.stanford.edu/academics/math-placement) in order to register for this course.
Math 51 is considered equivalent to
Math 61CM, and credit will not be granted for both courses.
Terms: Aut, Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Lucianovic, M. (PI)
;
Miller, J. (PI)
;
Morton-Ferguson, C. (PI)
...
more instructors for MATH 51 »
Instructors:
Lucianovic, M. (PI)
;
Miller, J. (PI)
;
Morton-Ferguson, C. (PI)
;
Swaminathan, M. (PI)
;
Taylor, C. (PI)
;
Vondrak, J. (PI)
;
Blair, H. (TA)
;
Bonciocat, C. (TA)
;
Chokkhanchitchai, T. (TA)
;
Cholsaipant, P. (TA)
;
Gangal, A. (TA)
;
Hofgard, J. (TA)
;
KAZANIN, S. (TA)
;
Kuelbs, D. (TA)
;
Li, J. (TA)
;
Li, Z. (TA)
;
Mandelshtam, A. (TA)
;
Mauro, A. (TA)
;
Pandit, N. (TA)
;
Park, J. (TA)
;
Skvortsov, D. (TA)
;
Speciel, R. (TA)
;
Yang, H. (TA)
;
Zhang, S. (TA)
;
de la HOGUE MORAN-BOULLOCHE-BR, P. (TA)
2024-2025 Autumn
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
1891
|
Section 01 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 126 / 110
09/23/2024 - 12/06/2024 Mon, Wed, Fri 9:30 AM - 10:20 AM at 370-370 with Taylor, C. (PI); Mauro, A. (TA)
Exam Date/Time: 2024-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: Taylor, C. (PI); Mauro, A. (TA)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 75% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 09/19/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
1892
|
Section 02 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 109 / 110
09/23/2024 - 12/06/2024 Mon, Wed, Fri 10:30 AM - 11:20 AM at 370-370 with Taylor, C. (PI); Mauro, A. (TA)
Exam Date/Time: 2024-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: Taylor, C. (PI); Mauro, A. (TA)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 75% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 09/19/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
1893
|
Section 03 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 109 / 110
09/23/2024 - 12/06/2024 Mon, Wed, Fri 12:30 PM - 1:20 PM at 370-370 with Morton-Ferguson, C. (PI); Mauro, A. (TA)
Exam Date/Time: 2024-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: Morton-Ferguson, C. (PI); Mauro, A. (TA)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 75% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 09/19/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
1894
|
Section 04 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 84 / 110
09/23/2024 - 12/06/2024 Mon, Wed, Fri 1:30 PM - 2:20 PM at 370-370 with Morton-Ferguson, C. (PI); Mauro, A. (TA)
Exam Date/Time: 2024-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: Morton-Ferguson, C. (PI); Mauro, A. (TA)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 75% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 09/19/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2627
|
Section 05 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 24 / 22
09/23/2024 - 12/06/2024 Tue, Thu 9:30 AM - 10:20 AM at Green Earth Sciences131 with Pandit, N. (TA)
Instructors: Pandit, N. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2674
|
Section 06 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 42 / 40
09/23/2024 - 12/06/2024 Tue, Thu 9:30 AM - 10:20 AM at 160-B40 with Zhang, S. (TA)
Instructors: Zhang, S. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2956
|
Section 07 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 35 / 30
09/23/2024 - 12/06/2024 Tue, Thu 9:30 AM - 10:20 AM at 320-220 with Bonciocat, C. (TA)
Instructors: Bonciocat, C. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2957
|
Section 08 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 40 / 40
09/23/2024 - 12/06/2024 Tue, Thu 10:30 AM - 11:20 AM at 160-B40 with Zhang, S. (TA)
Instructors: Zhang, S. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2958
|
Section 09 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 23 / 22
09/23/2024 - 12/06/2024 Tue, Thu 10:30 AM - 11:20 AM at Green Earth Sciences131 with Pandit, N. (TA)
Instructors: Pandit, N. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2959
|
Section 10 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 22 / 21
09/23/2024 - 12/06/2024 Tue, Thu 10:30 AM - 11:20 AM at Littlefield 104 with Yang, H. (TA)
Instructors: Yang, H. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2960
|
Section 11 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 24 / 22
09/23/2024 - 12/06/2024 Tue, Thu 11:30 AM - 12:20 PM at Green Earth Sciences131 with Li, Z. (TA)
Instructors: Li, Z. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2961
|
Section 12 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 21 / 24
09/23/2024 - 12/06/2024 Tue, Thu 11:30 AM - 12:20 PM at Lathrop 294 with Yang, H. (TA)
Instructors: Yang, H. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2962
|
Section 13 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 24 / 22
09/23/2024 - 12/06/2024 Tue, Thu 12:30 PM - 1:20 PM at Green Earth Sciences131 with Li, Z. (TA)
Instructors: Li, Z. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2963
|
Section 14 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 35 / 40
09/23/2024 - 12/06/2024 Tue, Thu 12:30 PM - 1:20 PM at 380-380C with Bonciocat, C. (TA)
Instructors: Bonciocat, C. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3714
|
Section 15 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 30 / 30
09/23/2024 - 12/06/2024 Tue, Thu 1:30 PM - 2:20 PM at 320-109 with Cholsaipant, P. (TA)
Instructors: Cholsaipant, P. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3715
|
Section 16 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 34 / 40
09/23/2024 - 12/06/2024 Tue, Thu 1:30 PM - 2:20 PM at 380-380F with KAZANIN, S. (TA)
Instructors: KAZANIN, S. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
31151
|
Section 17 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 25 / 30
09/23/2024 - 12/06/2024 Tue, Thu 1:30 PM - 2:20 PM at Thornton 210 with Li, J. (TA)
Instructors: Li, J. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
31152
|
Section 18 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 24 / 30
09/23/2024 - 12/06/2024 Tue, Thu 2:30 PM - 3:20 PM at Mitchell Earth Sciences B67 with Li, J. (TA)
Instructors: Li, J. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
31153
|
Section 19 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 9
09/23/2024 - 12/06/2024 Tue, Thu 2:30 PM - 3:20 PM at 380-380W with KAZANIN, S. (TA)
Instructors: KAZANIN, S. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
31154
|
Section 20 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 16 / 30
09/23/2024 - 12/06/2024 Tue, Thu 2:30 PM - 3:20 PM at 540-108 with Cholsaipant, P. (TA)
Instructors: Cholsaipant, P. (TA)
2024-2025 Winter
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2081
|
Section 01 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 34
01/06/2025 - 03/14/2025 Mon, Wed, Fri 8:30 AM - 9:20 AM at 370-370 with Taylor, C. (PI)
Exam Date/Time: 2025-03-18 12:15pm - 3:15pm (Exam Schedule)
Instructors: Taylor, C. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 70% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 12/06/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2082
|
Section 02 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 96 / 110
01/06/2025 - 03/14/2025 Mon, Wed, Fri 9:30 AM - 10:20 AM at 370-370 with Miller, J. (PI)
Exam Date/Time: 2025-03-18 12:15pm - 3:15pm (Exam Schedule)
Instructors: Miller, J. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 70% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 12/06/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2083
|
Section 03 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 101 / 110
01/06/2025 - 03/14/2025 Mon, Wed, Fri 10:30 AM - 11:20 AM at 370-370 with Miller, J. (PI)
Exam Date/Time: 2025-03-18 12:15pm - 3:15pm (Exam Schedule)
Instructors: Miller, J. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 70% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 12/06/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2084
|
Section 04 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 102 / 110
01/06/2025 - 03/14/2025 Mon, Wed, Fri 11:30 AM - 12:20 PM at 420-041 with Vondrak, J. (PI)
Exam Date/Time: 2025-03-18 12:15pm - 3:15pm (Exam Schedule)
Instructors: Vondrak, J. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 70% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 12/06/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2085
|
Section 05 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 108 / 110
01/06/2025 - 03/14/2025 Mon, Wed, Fri 12:30 PM - 1:20 PM at 420-041 with Vondrak, J. (PI)
Exam Date/Time: 2025-03-18 12:15pm - 3:15pm (Exam Schedule)
Instructors: Vondrak, J. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 70% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01a on 12/06/2024, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2086
|
Section 06 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 24 / 29
01/06/2025 - 03/14/2025 Tue, Thu 8:30 AM - 9:20 AM at Sequoia Hall 200 with Chokkhanchitchai, T. (TA)
Instructors: Chokkhanchitchai, T. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2087
|
Section 07 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 27 / 29
01/06/2025 - 03/14/2025 Tue, Thu 9:30 AM - 10:20 AM at 200-303 with Gangal, A. (TA)
Instructors: Gangal, A. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2088
|
Section 08 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 27 / 29
01/06/2025 - 03/14/2025 Tue, Thu 9:30 AM - 10:20 AM at Sequoia Hall 200 with Chokkhanchitchai, T. (TA)
Instructors: Chokkhanchitchai, T. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3601 (CANCELLED)
|
Section 09 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
- -
Notes: This class section has been cancelled! -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9037 (CANCELLED)
|
Section 10 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
- -
Notes: This class section has been cancelled! -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2090
|
Section 11 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 29 / 29
01/06/2025 - 03/14/2025 Tue, Thu 10:30 AM - 11:20 AM at 200-002 with Kuelbs, D. (TA)
Instructors: Kuelbs, D. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2091
|
Section 12 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 29 / 29
01/06/2025 - 03/14/2025 Tue, Thu 10:30 AM - 11:20 AM at 200-303 with Gangal, A. (TA)
Instructors: Gangal, A. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3603
|
Section 13 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 23 / 29
01/06/2025 - 03/14/2025 Tue, Thu 10:30 AM - 11:20 AM at 160-127 with Blair, H. (TA)
Instructors: Blair, H. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2089
|
Section 14 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 29 / 29
01/06/2025 - 03/14/2025 Tue, Thu 10:30 AM - 11:20 AM at 540-108 with de la HOGUE MORAN-BOULLOCHE-BR, P. (TA)
Instructors: de la HOGUE MORAN-BOULLOCHE-BR, P. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3602
|
Section 15 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 29 / 29
01/06/2025 - 03/14/2025 Tue, Thu 11:30 AM - 12:20 PM at 200-002 with Kuelbs, D. (TA)
Instructors: Kuelbs, D. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2554
|
Section 16 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 27 / 29
01/06/2025 - 03/14/2025 Tue, Thu 11:30 AM - 12:20 PM at 380-380X with Blair, H. (TA)
Instructors: Blair, H. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2555
|
Section 17 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 27 / 29
01/06/2025 - 03/14/2025 Tue, Thu 12:30 PM - 1:20 PM at 380-380X with de la HOGUE MORAN-BOULLOCHE-BR, P. (TA)
Instructors: de la HOGUE MORAN-BOULLOCHE-BR, P. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2953
|
Section 18 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 28 / 29
01/06/2025 - 03/14/2025 Tue, Thu 12:30 PM - 1:20 PM at Littlefield 103 with Cholsaipant, P. (TA)
Instructors: Cholsaipant, P. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2954
|
Section 19 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 29 / 29
01/06/2025 - 03/14/2025 Tue, Thu 12:30 PM - 1:20 PM at Gates B12 with Hofgard, J. (TA)
Instructors: Hofgard, J. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2955
|
Section 20 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 29 / 29
01/06/2025 - 03/14/2025 Tue, Thu 1:30 PM - 2:20 PM at 380-380X with Speciel, R. (TA)
Instructors: Speciel, R. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2956
|
Section 21 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 27 / 29
01/06/2025 - 03/14/2025 Tue, Thu 1:30 PM - 2:20 PM at Gates B12 with Hofgard, J. (TA)
Instructors: Hofgard, J. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3604
|
Section 22 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 28 / 29
01/06/2025 - 03/14/2025 Tue, Thu 1:30 PM - 2:20 PM at Littlefield 103 with Cholsaipant, P. (TA)
Instructors: Cholsaipant, P. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3605 (CANCELLED)
|
Section 23 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
- -
Notes: This class section has been cancelled! -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3606
|
Section 24 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 29 / 29
01/06/2025 - 03/14/2025 Tue, Thu 2:30 PM - 3:20 PM at 380-380X with Speciel, R. (TA)
Instructors: Speciel, R. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
31826 (CANCELLED)
|
Section 25 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Winter 1
| In Person
- -
Notes: This class section has been cancelled!
2024-2025 Spring
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2019
|
Section 01 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 78 / 90
03/31/2025 - 06/04/2025 Mon, Wed, Fri 9:30 AM - 10:20 AM at Gates B1 with Swaminathan, M. (PI)
Exam Date/Time: 2025-06-07 12:15pm - 3:15pm (Exam Schedule)
Instructors: Swaminathan, M. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 70% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01am PST on 03/07/2025, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2354
|
Section 02 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 69 / 80
03/31/2025 - 06/04/2025 Mon, Wed, Fri 11:30 AM - 12:20 PM at 380-380C with Lucianovic, M. (PI)
Exam Date/Time: 2025-06-07 12:15pm - 3:15pm (Exam Schedule)
Instructors: Lucianovic, M. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 70% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01am PST on 03/07/2025, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2410
|
Section 03 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 75 / 80
03/31/2025 - 06/04/2025 Mon, Wed, Fri 12:30 PM - 1:20 PM at 380-380C with Lucianovic, M. (PI)
Exam Date/Time: 2025-06-07 12:15pm - 3:15pm (Exam Schedule)
Instructors: Lucianovic, M. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. To ensure that all students have equal opportunity to register for this class, 70% of the seats have been reserved for frosh and sophomores. These reserves will be released at 12:01am PST on 03/07/2025, at which time all remaining seats will be available on a first-come, first-enrolled bases.
Additional Resources: (Login to view additional resources) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2021
|
Section 04 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 21 / 24
03/31/2025 - 06/04/2025 Tue, Thu 9:30 AM - 10:20 AM at 320-109 with Skvortsov, D. (TA)
Instructors: Skvortsov, D. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2214
|
Section 05 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 21 / 24
03/31/2025 - 06/04/2025 Tue, Thu 9:30 AM - 10:20 AM at 200-205 with de la HOGUE MORAN-BOULLOCHE-BR, P. (TA)
Instructors: de la HOGUE MORAN-BOULLOCHE-BR, P. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
13462
|
Section 06 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 22 / 24
03/31/2025 - 06/04/2025 Tue, Thu 10:30 AM - 11:20 AM at 380-380X with Park, J. (TA)
Instructors: Park, J. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2161
|
Section 07 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 21 / 24
03/31/2025 - 06/04/2025 Tue, Thu 10:30 AM - 11:20 AM at 200-205 with de la HOGUE MORAN-BOULLOCHE-BR, P. (TA)
Instructors: de la HOGUE MORAN-BOULLOCHE-BR, P. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2169
|
Section 08 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 19 / 24
03/31/2025 - 06/04/2025 Tue, Thu 11:30 AM - 12:20 PM at 320-109 with Skvortsov, D. (TA)
Instructors: Skvortsov, D. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
2765
|
Section 09 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 18 / 24
03/31/2025 - 06/04/2025 Tue, Thu 11:30 AM - 12:20 PM at 200-205 with Mandelshtam, A. (TA)
Instructors: Mandelshtam, A. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3294
|
Section 10 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 23 / 24
03/31/2025 - 06/04/2025 Tue, Thu 12:30 PM - 1:20 PM at 160-B40 with Mandelshtam, A. (TA)
Instructors: Mandelshtam, A. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3295
|
Section 11 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 24 / 24
03/31/2025 - 06/04/2025 Tue, Thu 12:30 PM - 1:20 PM at 200-205 with Cholsaipant, P. (TA)
Instructors: Cholsaipant, P. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
13463
|
Section 12 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 24 / 24
03/31/2025 - 06/04/2025 Tue, Thu 1:30 PM - 2:20 PM at 200-205 with Cholsaipant, P. (TA)
Instructors: Cholsaipant, P. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
3296
|
Section 13 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 22 / 24
03/31/2025 - 06/04/2025 Tue, Thu 1:30 PM - 2:20 PM at Mitchell Earth Sciences B67 with Park, J. (TA)
Instructors: Park, J. (TA)
MATH 51ACE: Linear Algebra, Multivariable Calculus, and Modern Applications, ACE
Additional problem solving session for
Math 51 guided by a course assistant. Concurrent enrollment in
Math 51 required. Application required:
https://engineering.stanford.edu/students-academics/equity-and-inclusion-initiatives/undergraduate-programs/additional-calculus. Note: This course is not eligible for transfer credit.
Terms: Aut, Win, Spr
| Units: 1
Instructors:
Lucianovic, M. (PI)
;
Taylor, C. (PI)
;
Lewwandoowa Liyanage, V. (TA)
...
more instructors for MATH 51ACE »
Instructors:
Lucianovic, M. (PI)
;
Taylor, C. (PI)
;
Lewwandoowa Liyanage, V. (TA)
;
McDonell, G. (TA)
;
Villescas, M. (TA)
2024-2025 Autumn
-
MATH 51ACE |
1 units |
UG Reqs: None |
Class #
31894
|
Section 01 |
Grading: Satisfactory/No Credit |
SEM |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 20 / 30
09/23/2024 - 12/06/2024 Thu 7:30 PM - 9:20 PM at 160-127 with Taylor, C. (PI); McDonell, G. (TA)
Instructors: Taylor, C. (PI); McDonell, G. (TA)
Additional Resources: (Login to view additional resources) -
MATH 51ACE |
1 units |
UG Reqs: None |
Class #
31895
|
Section 02 |
Grading: Satisfactory/No Credit |
SEM |
Session: 2024-2025 Autumn 1
| In Person
| Students enrolled: 18 / 30
09/23/2024 - 12/06/2024 Mon, Wed 6:30 PM - 7:20 PM at 160-127 with Taylor, C. (PI); Lewwandoowa Liyanage, V. (TA)
Instructors: Taylor, C. (PI); Lewwandoowa Liyanage, V. (TA)
Additional Resources: (Login to view additional resources)
2024-2025 Winter
-
MATH 51ACE |
1 units |
UG Reqs: None |
Class #
33193
|
Section 01 |
Grading: Satisfactory/No Credit |
SEM |
Session: 2024-2025 Winter 1
| In Person
| Students enrolled: 24 / 30
01/06/2025 - 03/14/2025 Tue 4:30 PM - 6:20 PM at 200-107 with Taylor, C. (PI); McDonell, G. (TA)
Instructors: Taylor, C. (PI); McDonell, G. (TA)
Additional Resources: (Login to view additional resources)
2024-2025 Spring
-
MATH 51ACE |
1 units |
UG Reqs: None |
Class #
32932
|
Section 01 |
Grading: Satisfactory/No Credit |
SEM |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 19 / 20
03/31/2025 - 06/04/2025 Mon 3:30 PM - 5:20 PM at 160-120 with Lucianovic, M. (PI); Lewwandoowa Liyanage, V. (TA)
Instructors: Lucianovic, M. (PI); Lewwandoowa Liyanage, V. (TA)
Notes: For questions or application link, please see here: https://engineering.stanford.edu/students-academics/student-success-and-engagement/undergraduate-programs/additional-courses/enroll. -
MATH 51ACE |
1 units |
UG Reqs: None |
Class #
33148
|
Section 02 |
Grading: Satisfactory/No Credit |
SEM |
Session: 2024-2025 Spring 1
| In Person
| Students enrolled: 11
03/31/2025 - 06/04/2025 Mon 4:30 PM - 6:20 PM at 320-109 with Lucianovic, M. (PI); Villescas, M. (TA)
Instructors: Lucianovic, M. (PI); Villescas, M. (TA)
Notes: For questions or application link, please see here: https://engineering.stanford.edu/students-academics/student-success-and-engagement/undergraduate-programs/additional-courses/enroll.
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