printer friendly pageMATH 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 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,
Math 42, or the math placement diagnostic (offered through the Math Department website) in order to register for this course.
Terms: Aut, Win, Spr, Sum
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Cant, D. (PI)
;
Chen, D. (PI)
;
Chetard, B. (PI)
;
Dore, D. (PI)
;
Helfer, J. (PI)
;
Izzo, Z. (PI)
;
Kim, G. (PI)
;
Kraushar, N. (PI)
;
Larson, H. (PI)
;
Lucianovic, M. (PI)
;
Perlman, M. (PI)
;
Sloman, L. (PI)
;
Taylor, C. (PI)
;
Trettel, S. (PI)
;
Wang, G. (PI)
;
White, B. (PI)
;
Wieczorek, W. (PI)
;
Ying, L. (PI)
;
Zavyalov, B. (PI)
;
Angelo, R. (TA)
;
Arana Herrera, F. (TA)
;
Cant, D. (TA)
;
Guijarro Ordonez, J. (TA)
;
He, J. (TA)
;
Helfer, J. (TA)
;
Izzo, Z. (TA)
;
Libkind, S. (TA)
;
Mackey, W. (TA)
;
Nguyen, D. (TA)
;
Sloman, L. (TA)
;
Wang, G. (TA)
;
Zachos, E. (TA)
;
Zhang, S. (TA)
2019-2020 Autumn
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9534
|
Section 01 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 75 / 75
09/23/2019 - 12/06/2019 Mon, Wed, Fri 9:30 AM - 10:20 AM at 380-380C with Chetard, B. (PI)
Exam Date/Time: 2019-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: Chetard, B. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion nsection. Enroll in discussion section in Axess. Please note that caps will be regularly updated so everyone who would like to enroll can. -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9535
|
Section 02 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 75 / 75
09/23/2019 - 12/06/2019 Mon, Wed, Fri 10:30 AM - 11:20 AM at 380-380C with White, B. (PI)
Exam Date/Time: 2019-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: White, B. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion nsection. Enroll in discussion section in Axess. Please note that caps will be regularly updated so everyone who would like to enroll can.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9536
|
Section 03 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 75 / 75
09/23/2019 - 12/06/2019 Mon, Wed, Fri 11:30 AM - 12:20 PM at 380-380C with White, B. (PI)
Exam Date/Time: 2019-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: White, B. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion nsection. Enroll in discussion section in Axess. Please note that caps will be regularly updated so everyone who would like to enroll can.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
30695
|
Section 04 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 74 / 75
09/23/2019 - 12/06/2019 Mon, Wed, Fri 12:30 PM - 1:20 PM at 380-380C with Taylor, C. (PI); Arana Herrera, F. (TA)
Exam Date/Time: 2019-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: Taylor, C. (PI); Arana Herrera, F. (TA)
Notes: Please note that caps will be regularly updated so everyone who would like to enroll can.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9537
|
Section 05 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 67 / 75
09/23/2019 - 12/06/2019 Mon, Wed, Fri 1:30 PM - 2:20 PM at 380-380C with Taylor, C. (PI)
Exam Date/Time: 2019-12-10 12:15pm - 3:15pm (Exam Schedule)
Instructors: Taylor, C. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion nsection. Enroll in discussion section in Axess. Please note that caps will be regularly updated so everyone who would like to enroll can.
Additional Resources: (Login to view additional resources) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9538
|
Section 06 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 31 / 30
09/23/2019 - 12/06/2019 Tue, Thu 9:30 AM - 10:20 AM at 380-380C with Helfer, J. (PI)
Instructors: Helfer, J. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9539
|
Section 07 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 30 / 30
09/23/2019 - 12/06/2019 Tue, Thu 9:30 AM - 10:20 AM at McCullough 122 with Libkind, S. (TA)
Instructors: Libkind, S. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9540
|
Section 08 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 30 / 30
09/23/2019 - 12/06/2019 Tue, Thu 10:30 AM - 11:20 AM at McCullough 122 with Libkind, S. (TA)
Instructors: Libkind, S. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9541
|
Section 09 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 30 / 30
09/23/2019 - 12/06/2019 Tue, Thu 10:30 AM - 11:20 AM at 320-109 with Izzo, Z. (TA)
Instructors: Izzo, Z. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
18261
|
Section 10 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 28 / 30
09/23/2019 - 12/06/2019 Tue, Thu 10:30 AM - 11:20 AM at Littlefield 103 with Cant, D. (PI)
Instructors: Cant, D. (PI) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
18262
|
Section 11 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 26 / 27
09/23/2019 - 12/06/2019 Tue, Thu 11:30 AM - 12:20 PM at 540-103 with Sloman, L. (PI)
Instructors: Sloman, L. (PI) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9542
|
Section 12 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 27 / 27
09/23/2019 - 12/06/2019 Tue, Thu 11:30 AM - 12:20 PM at Littlefield 107 with Dore, D. (PI)
Instructors: Dore, D. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9543
|
Section 13 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 25 / 27
09/23/2019 - 12/06/2019 Tue, Thu 11:30 AM - 12:20 PM at Littlefield 103 with Cant, D. (TA)
Instructors: Cant, D. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9544
|
Section 14 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 29 / 30
09/23/2019 - 12/06/2019 Tue, Thu 12:30 PM - 1:20 PM at 380-380C with Sloman, L. (TA)
Instructors: Sloman, L. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
16973
|
Section 15 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 16 / 30
09/23/2019 - 12/06/2019 Tue, Thu 12:30 PM - 1:20 PM at McCullough 122 with Helfer, J. (TA)
Instructors: Helfer, J. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
31029
|
Section 16 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 22 / 30
09/23/2019 - 12/06/2019 Tue, Thu 10:30 AM - 11:20 AM at Lathrop 190 with Perlman, M. (PI)
Instructors: Perlman, M. (PI) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
31033
|
Section 17 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 14 / 27
09/23/2019 - 12/06/2019 Tue, Thu 11:30 AM - 12:20 PM at McCullough 126 with Perlman, M. (PI)
Instructors: Perlman, M. (PI) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32904 (CANCELLED)
|
Section 18 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Autumn 1
| In Person
- -
Exam Date/Time: 2019-12-10 12:15pm - 3:15pm (Exam Schedule)
Notes: This class section has been cancelled! -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32906
|
Section 19 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 29 / 30
09/23/2019 - 12/06/2019 Tue, Thu 9:30 AM - 10:20 AM at 380-380W with Izzo, Z. (PI)
Instructors: Izzo, Z. (PI) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32927
|
Section 20 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
| Students enrolled: 29 / 30
09/23/2019 - 12/06/2019 Tue, Thu 12:30 PM - 1:20 PM at 380-380F with Dore, D. (PI)
Instructors: Dore, D. (PI)
2019-2020 Winter
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9657
|
Section 01 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 79 / 80
01/06/2020 - 03/13/2020 Mon, Wed, Fri 9:30 AM - 10:20 AM at 380-380C with Trettel, S. (PI)
Exam Date/Time: 2020-03-17 12:15pm - 3:15pm (Exam Schedule)
Instructors: Trettel, S. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9658
|
Section 02 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 80 / 80
01/06/2020 - 03/13/2020 Mon, Wed, Fri 10:30 AM - 11:20 AM at 380-380C with Lucianovic, M. (PI)
Exam Date/Time: 2020-03-17 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.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9659
|
Section 03 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 79 / 80
01/06/2020 - 03/13/2020 Mon, Wed, Fri 11:30 AM - 12:20 PM at 380-380C with Lucianovic, M. (PI)
Exam Date/Time: 2020-03-17 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.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9660
|
Section 04 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 70 / 80
01/06/2020 - 03/13/2020 Mon, Wed, Fri 12:30 PM - 1:20 PM at 380-380C with Ying, L. (PI)
Exam Date/Time: 2020-03-17 12:15pm - 3:15pm (Exam Schedule)
Instructors: Ying, L. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9661
|
Section 05 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 69 / 80
01/06/2020 - 03/13/2020 Mon, Wed, Fri 1:30 PM - 2:20 PM at 380-380C with Ying, L. (PI)
Exam Date/Time: 2020-03-17 12:15pm - 3:15pm (Exam Schedule)
Instructors: Ying, L. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section.
Additional Resources: (Login to view additional resources) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9662
|
Section 06 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 31 / 34
01/06/2020 - 03/13/2020 Tue, Thu 9:30 AM - 10:20 AM at 380-380F with Chen, D. (PI)
Instructors: Chen, D. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9663
|
Section 07 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 28 / 34
01/06/2020 - 03/13/2020 Tue, Thu 9:30 AM - 10:20 AM at Hewlett Teaching Center 103 with Wang, G. (PI)
Instructors: Wang, G. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9664
|
Section 08 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 34 / 34
01/06/2020 - 03/13/2020 Tue, Thu 9:30 AM - 10:20 AM at 380-380X with Larson, H. (PI)
Instructors: Larson, H. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
14676
|
Section 09 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 29 / 34
01/06/2020 - 03/13/2020 Tue, Thu 10:30 AM - 11:20 AM at 380-380F with Zavyalov, B. (PI)
Instructors: Zavyalov, B. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9665
|
Section 10 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 27 / 34
01/06/2020 - 03/13/2020 Tue, Thu 10:30 AM - 11:20 AM at 380-380W with Wang, G. (PI)
Instructors: Wang, G. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9666
|
Section 12 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 31 / 34
01/06/2020 - 03/13/2020 Tue, Thu 10:30 AM - 11:20 AM at 200-303 with Kraushar, N. (PI)
Instructors: Kraushar, N. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9667
|
Section 13 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 30 / 34
01/06/2020 - 03/13/2020 Tue, Thu 11:30 AM - 12:20 PM at 380-380F with Zavyalov, B. (PI)
Instructors: Zavyalov, B. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
10028
|
Section 14 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 34 / 34
01/06/2020 - 03/13/2020 Tue, Thu 11:30 AM - 12:20 PM at 380-380W with Larson, H. (PI)
Instructors: Larson, H. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
10029
|
Section 15 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 34 / 34
01/06/2020 - 03/13/2020 Tue, Thu 11:30 AM - 12:20 PM at 200-303 with Kraushar, N. (PI)
Instructors: Kraushar, N. (PI)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
16763
|
Section 16 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 34 / 34
01/06/2020 - 03/13/2020 Tue, Thu 12:30 PM - 1:20 PM at 380-380F with Chen, D. (PI)
Instructors: Chen, D. (PI) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
17007
|
Section 17 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 32 / 34
01/06/2020 - 03/13/2020 Tue, Thu 10:30 AM - 11:20 AM at McCullough 122 with Helfer, J. (PI)
Instructors: Helfer, J. (PI) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
17008
|
Section 18 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
| Students enrolled: 33 / 34
01/06/2020 - 03/13/2020 Tue, Thu 11:30 AM - 12:20 PM at McCullough 122 with Helfer, J. (PI)
Instructors: Helfer, J. (PI)
2019-2020 Spring
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9880
|
Section 01 |
Grading: Satisfactory/Unsatisfactory Exception |
LEC |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 78 / 84
03/30/2020 - 06/03/2020 Mon, Wed, Fri 9:30 AM - 10:20 AM at 380-380C with Wieczorek, W. (PI); Wang, G. (TA)
Instructors: Wieczorek, W. (PI); Wang, G. (TA)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9895
|
Section 02 |
Grading: Satisfactory/Unsatisfactory Exception |
LEC |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 90 / 84
03/30/2020 - 06/03/2020 Mon, Wed, Fri 10:30 AM - 11:20 AM at 380-380C with Kim, G. (PI); Wang, G. (TA)
Instructors: Kim, G. (PI); Wang, G. (TA)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
15633
|
Section 03 |
Grading: Satisfactory/Unsatisfactory Exception |
LEC |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 96 / 84
03/30/2020 - 06/03/2020 Mon, Wed, Fri 11:30 AM - 12:20 PM at 380-380C with Kim, G. (PI); Wang, G. (TA)
Instructors: Kim, G. (PI); Wang, G. (TA)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess.
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
16654
|
Section 04 |
Grading: Satisfactory/Unsatisfactory Exception |
LEC |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 75 / 84
03/30/2020 - 06/03/2020 Mon, Wed, Fri 12:30 PM - 1:20 PM at 380-380C with Wieczorek, W. (PI); Wang, G. (TA)
Instructors: Wieczorek, W. (PI); Wang, G. (TA)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess.
Additional Resources: (Login to view additional resources) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
16959
|
Section 05 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 35 / 34
03/30/2020 - 06/03/2020 Tue, Thu 9:30 AM - 10:20 AM at 540-108 with Guijarro Ordonez, J. (TA)
Instructors: Guijarro Ordonez, J. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9906
|
Section 06 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 34 / 34
03/30/2020 - 06/03/2020 Tue, Thu 10:30 AM - 11:20 AM at 240-201 with Angelo, R. (TA)
Instructors: Angelo, R. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
14380
|
Section 07 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 37 / 34
03/30/2020 - 06/03/2020 Tue, Thu 10:30 AM - 11:20 AM with Guijarro Ordonez, J. (TA)
Instructors: Guijarro Ordonez, J. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
14231
|
Section 08 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 33 / 34
03/30/2020 - 06/03/2020 Tue, Thu 11:30 AM - 12:20 PM at 40-42A with Zachos, E. (TA)
Instructors: Zachos, E. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
10273
|
Section 09 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 38 / 34
03/30/2020 - 06/03/2020 Tue, Thu 11:30 AM - 12:20 PM at 260-008 with Mackey, W. (TA)
Instructors: Mackey, W. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
14381
|
Section 10 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 38 / 34
03/30/2020 - 06/03/2020 Tue, Thu 12:30 PM - 1:20 PM at 380-380F with Mackey, W. (TA)
Instructors: Mackey, W. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
14232
|
Section 11 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 28 / 34
03/30/2020 - 06/03/2020 Tue, Thu 12:30 PM - 1:20 PM at 380-380C with Angelo, R. (TA)
Instructors: Angelo, R. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
10309
|
Section 12 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 38 / 34
03/30/2020 - 06/03/2020 Tue, Thu 12:30 PM - 1:20 PM at Littlefield 107 with Zachos, E. (TA)
Instructors: Zachos, E. (TA)
Notes: Enroll in discussion section in Axess along with a lecture section. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32108
|
Section 13 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 33 / 34
04/06/2020 - 06/03/2020 Tue, Thu 10:30 AM - 11:20 AM with Zhang, S. (TA)
Instructors: Zhang, S. (TA) -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32109
|
Section 14 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
| Students enrolled: 25 / 34
04/06/2020 - 06/03/2020 Tue, Thu 11:30 AM - 12:20 PM with Zhang, S. (TA)
Instructors: Zhang, S. (TA)
Notes: This section will meet Tuesday/Thursday from 11:30am-12:20pm.
2019-2020 Summer
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
23671
|
Section 01 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Summer 1
| In Person
| Students enrolled: 37 / 40
06/22/2020 - 08/13/2020 Mon, Tue, Wed, Thu, Fri 10:30 AM - 11:50 AM with Kim, G. (PI); Arana Herrera, F. (TA); He, J. (TA); Nguyen, D. (TA)
Instructors: Kim, G. (PI); Arana Herrera, F. (TA); He, J. (TA); Nguyen, D. (TA)
Additional Resources: (Login to view additional resources) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
23672
|
Section 02 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Summer 1
| In Person
| Students enrolled: 40 / 40
06/22/2020 - 08/13/2020 Mon, Tue, Wed, Thu, Fri 1:30 PM - 2:50 PM with Kraushar, N. (PI); Arana Herrera, F. (TA); He, J. (TA); Nguyen, D. (TA)
Instructors: Kraushar, N. (PI); Arana Herrera, F. (TA); He, J. (TA); Nguyen, D. (TA)
MATH 51A: Linear Algebra, Multivariable Calculus, and Modern Applications, ACE
Students attend
MATH 51 lectures with different recitation sessions: four hours per week instead of two, emphasizing engineering applications. Prerequisite: application; see
https://engineering.stanford.edu/students-academics/engineering-diversity-programs/additional-calculus-engineers-ace
Terms: Aut, Win, Spr
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Cotner, S. (PI)
;
Kim, G. (PI)
;
Lucianovic, M. (PI)
...
more instructors for MATH 51A »
Instructors:
Cotner, S. (PI)
;
Kim, G. (PI)
;
Lucianovic, M. (PI)
;
Taylor, C. (PI)
;
Wieczorek, W. (PI)
;
Yang, K. (TA)
;
Zachos, E. (TA)
2019-2020 Autumn
-
MATH 51A |
6 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
14887
|
Section 01 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Autumn 1
| In Person
09/23/2019 - 12/06/2019 - with Taylor, C. (PI)
Instructors: Taylor, C. (PI)
Notes: Math 51A students attend one of Prof. Taylor's Math 51 lectures on MWF at either 12:30pm or 1:30pm.
Additional Resources: (Login to view additional resources) -
MATH 51A |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
15701
|
Section 02 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Autumn 1
| In Person
09/23/2019 - 12/06/2019 Tue, Thu 1:30 PM - 3:20 PM at McCullough 122 with Yang, K. (TA)
Instructors: Yang, K. (TA)
2019-2020 Winter
-
MATH 51A |
6 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9461
|
Section 01 |
Grading: Letter or Credit/No Credit |
LEC |
Session: 2019-2020 Winter 1
| In Person
01/06/2020 - 03/13/2020 - with Lucianovic, M. (PI)
Instructors: Lucianovic, M. (PI)
Notes: Math 51A students attend one of Prof. Lucianovic's Math 51 lectures on MWF at either 10:30am or 11:30am.
Additional Resources: (Login to view additional resources) -
MATH 51A |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9829
|
Section 02 |
Grading: Letter or Credit/No Credit |
DIS |
Session: 2019-2020 Winter 1
| In Person
01/06/2020 - 03/13/2020 Tue, Thu 1:30 PM - 3:20 PM at 380-380X with Zachos, E. (TA)
Instructors: Zachos, E. (TA)
2019-2020 Spring
-
MATH 51A |
6 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9803
|
Section 01 |
Grading: Satisfactory/Unsatisfactory Exception |
LEC |
Session: 2019-2020 Spring 1
| In Person
03/30/2020 - 06/03/2020 - with Kim, G. (PI); Wieczorek, W. (PI)
Instructors: Kim, G. (PI); Wieczorek, W. (PI)
Notes: Math 51A students must attend one of the Math 51 lectures and the 51A discussion section.
Additional Resources: (Login to view additional resources) -
MATH 51A |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
9925
|
Section 02 |
Grading: Satisfactory/Unsatisfactory Exception |
DIS |
Session: 2019-2020 Spring 1
| In Person
03/30/2020 - 06/03/2020 Tue, Thu 1:30 PM - 3:20 PM at 60-107 with Cotner, S. (PI)
Instructors: Cotner, S. (PI)
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