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 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:
Kim, G. (PI)
;
Lucianovic, M. (PI)
;
Spink, H. (PI)
;
Taylor, C. (PI)
;
Venkatesh, S. (PI)
;
Arana Herrera, F. (TA)
;
Chen, D. (TA)
;
Chen, S. (TA)
;
Devadas, S. (TA)
;
Falcone, P. (TA)
;
He, J. (TA)
;
Kraushar, N. (TA)
;
Love, J. (TA)
;
McConnell, S. (TA)
;
Nguyen, D. (TA)
;
Ortiz, J. (TA)
;
Perlman, M. (TA)
;
Raksit, A. (TA)
;
Stavrianidi, A. (TA)
;
Tam, K. (TA)
;
Truong Vu, N. (TA)
;
Zavyalov, B. (TA)
2020-2021 Autumn
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
8316
|
Section 01 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
| Students enrolled: 144 / 144
09/14/2020 - 11/20/2020 Mon, Wed, Fri 8:30 AM - 9:30 AM at Remote with Taylor, C. (PI); Devadas, S. (TA)
Instructors: Taylor, C. (PI); Devadas, S. (TA)
Notes: 1) Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. 2) At each section time, there are two options: Active Mode* and Passive Mode**. A recording of one Passive Mode section per section day will be posted in Canvas for asynchronous viewing by students. nn*Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions.nn**Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
8317
|
Section 02 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
| Students enrolled: 135 / 144
09/14/2020 - 11/20/2020 Mon, Wed, Fri 11:30 AM - 12:30 PM at Remote with Taylor, C. (PI); Devadas, S. (TA)
Instructors: Taylor, C. (PI); Devadas, S. (TA)
Notes: 1) Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. 2) At each section time, there are two options: Active Mode* and Passive Mode**. A recording of one Passive Mode section per section day will be posted in Canvas for asynchronous viewing by students. *Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. **Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
8318
|
Section 03 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
| Students enrolled: 123 / 144
09/14/2020 - 11/20/2020 Mon, Wed, Fri 2:30 PM - 3:30 PM at Remote with Venkatesh, S. (PI); Devadas, S. (TA)
Instructors: Venkatesh, S. (PI); Devadas, S. (TA)
Notes: 1) Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. 2) At each section time, there are two options: Active Mode* and Passive Mode**. A recording of one Passive Mode section per section day will be posted in Canvas for asynchronous viewing by students. *Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. **Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32402
|
Section 05 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 27 / 27
09/14/2020 - 11/20/2020 Tue, Thu 8:30 AM - 9:30 AM at Remote with McConnell, S. (TA)
Instructors: McConnell, S. (TA)
Notes: Passive Discussion Section: Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. This is the most suitable time for students based in India, Africa, Europe, and parts of Russia. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times if it works for their schedule. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32411
|
Section 06 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 26 / 27
09/14/2020 - 11/20/2020 Tue, Thu 8:30 AM - 9:30 AM at Remote with Truong Vu, N. (TA)
Instructors: Truong Vu, N. (TA)
Notes: Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. This is the most suitable time for students based in India, Africa, Europe, and parts of Russia. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times if it works for their schedule. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32412
|
Section 07 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 26 / 27
09/14/2020 - 11/20/2020 Tue, Thu 8:30 AM - 9:30 AM at Remote with Nguyen, D. (TA)
Instructors: Nguyen, D. (TA)
Notes: 2) This is the most suitable time for students based in India, Africa, Europe, and parts of Russia. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times if it works for their schedule. 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32413
|
Section 08 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 27 / 27
09/14/2020 - 11/20/2020 Tue, Thu 10:30 AM - 11:30 AM at Remote with Truong Vu, N. (TA)
Instructors: Truong Vu, N. (TA)
Notes: 1) Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32414
|
Section 09 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 25 / 27
09/14/2020 - 11/20/2020 Tue, Thu 10:30 AM - 11:30 AM at Remote with Love, J. (TA)
Instructors: Love, J. (TA)
Notes: 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32415
|
Section 10 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 26 / 27
09/14/2020 - 11/20/2020 Tue, Thu 10:30 AM - 11:30 AM at Remote with Raksit, A. (TA)
Instructors: Raksit, A. (TA)
Notes: 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32416
|
Section 11 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 27 / 27
09/14/2020 - 11/20/2020 Tue, Thu 12:30 PM - 1:30 PM at Remote with McConnell, S. (TA)
Instructors: McConnell, S. (TA)
Notes: 1) Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32417
|
Section 12 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 26 / 27
09/14/2020 - 11/20/2020 Tue, Thu 12:30 PM - 1:30 PM at Remote with Love, J. (TA)
Instructors: Love, J. (TA)
Notes: 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32418
|
Section 13 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 27 / 27
09/14/2020 - 11/20/2020 Tue, Thu 12:30 PM - 1:30 PM at Remote with Perlman, M. (TA)
Instructors: Perlman, M. (TA)
Notes: 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32419
|
Section 14 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 26 / 27
09/14/2020 - 11/20/2020 Tue, Thu 2:30 PM - 3:30 PM at Remote with Zavyalov, B. (TA)
Instructors: Zavyalov, B. (TA)
Notes: 1) Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32420
|
Section 15 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 16 / 27
09/14/2020 - 11/20/2020 Tue, Thu 2:30 PM - 3:30 PM at Remote with He, J. (TA)
Instructors: He, J. (TA)
Notes: 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32458
|
Section 16 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 27 / 27
09/14/2020 - 11/20/2020 Tue, Thu 2:30 PM - 3:30 PM at Remote with Perlman, M. (TA)
Instructors: Perlman, M. (TA)
Notes: 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32459
|
Section 17 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 26 / 27
09/14/2020 - 11/20/2020 Tue, Thu 4:30 PM - 5:30 PM at Remote with Zavyalov, B. (TA)
Instructors: Zavyalov, B. (TA)
Notes: 2) This is the most suitable time for students based in Australia, China, Korea, and similar time zones. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times starting times if it works for their schedule. 1) Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32460
|
Section 18 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 24 / 27
09/14/2020 - 11/20/2020 Tue, Thu 4:30 PM - 5:30 PM at Remote with He, J. (TA)
Instructors: He, J. (TA)
Notes: 2) This is the most suitable time for students based in Australia, China, Korea, and similar time zones. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times starting times if it works for their schedule. 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32582
|
Section 19 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 21 / 27
09/14/2020 - 11/20/2020 Tue, Thu 10:30 AM - 11:30 AM at Remote with Nguyen, D. (TA)
Instructors: Nguyen, D. (TA)
Notes: 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
32591
|
Section 20 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 25 / 27
09/14/2020 - 11/20/2020 Tue, Thu 12:30 PM - 1:30 PM at Remote with Raksit, A. (TA)
Instructors: Raksit, A. (TA)
Notes: 1) Active Discussion Section: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. 2) This is the most suitable time for students based in Australia, China, Korea, and similar time zones. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times starting times if it works for their schedule.
2020-2021 Winter
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
23078
|
Section 01 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
| Students enrolled: 107 / 125
01/11/2021 - 03/19/2021 Mon, Wed, Fri 8:30 AM - 9:30 AM at Remote with Lucianovic, M. (PI); Arana Herrera, F. (TA)
Instructors: Lucianovic, M. (PI); Arana Herrera, F. (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 #
23079
|
Section 02 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
| Students enrolled: 79 / 100
01/11/2021 - 03/19/2021 Mon, Wed, Fri 10:00 AM - 11:00 AM at Remote with Lucianovic, M. (PI); Arana Herrera, F. (TA)
Instructors: Lucianovic, M. (PI); Arana Herrera, F. (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 #
23080
|
Section 03 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
| Students enrolled: 129 / 130
01/11/2021 - 03/19/2021 Mon, Wed, Fri 1:00 PM - 2:00 PM at Remote with Kim, G. (PI); Arana Herrera, F. (TA)
Instructors: Kim, G. (PI); Arana Herrera, F. (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 #
33770
|
Section 04 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 22 / 25
01/11/2021 - 03/19/2021 Tue, Thu 2:30 PM - 3:30 PM at Remote with Chen, D. (TA)
Instructors: Chen, D. (TA)
Notes: 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33778
|
Section 05 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 21 / 25
01/11/2021 - 03/19/2021 Tue, Thu 12:30 PM - 1:30 PM at Remote with Falcone, P. (TA)
Instructors: Falcone, P. (TA)
Notes: 1) 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33785
|
Section 06 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 24 / 25
01/11/2021 - 03/19/2021 Tue, Thu 8:30 AM - 9:30 AM at Remote with Stavrianidi, A. (TA)
Instructors: Stavrianidi, A. (TA)
Notes: 1) Passive Discussion Section. Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. 2) This is the most suitable time for students based in India, Africa, Europe, and parts of Russia. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times if it works for their schedule. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33803
|
Section 07 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 23 / 25
01/11/2021 - 03/19/2021 Tue, Thu 10:30 AM - 11:30 AM at Remote with Tam, K. (TA)
Instructors: Tam, K. (TA)
Notes: Passive Discussion Section. Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33811
|
Section 08 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 23 / 25
01/11/2021 - 03/19/2021 Tue, Thu 12:30 PM - 1:30 PM at Remote with Tam, K. (TA)
Instructors: Tam, K. (TA)
Notes: Passive Discussion Section. Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33850
|
Section 09 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 22 / 25
01/11/2021 - 03/19/2021 Tue, Thu 2:30 PM - 3:30 PM at Remote with Ortiz, J. (TA)
Instructors: Ortiz, J. (TA)
Notes: Passive Discussion Section. Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33853
|
Section 10 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 23 / 25
01/11/2021 - 03/19/2021 Tue, Thu 4:30 PM - 5:30 PM at Remote with Stavrianidi, A. (TA)
Instructors: Stavrianidi, A. (TA)
Notes: 2) This is the most suitable time for students based in Australia, China, Korea, and similar time zones. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times starting times if it works for their schedule. 1) Passive Discussion Section. Passive Mode: Students watch a TA work through problems from a worksheet distributed 2 or 3 days in advance, with the TA answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33897
|
Section 11 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 24 / 25
01/11/2021 - 03/19/2021 Tue, Thu 8:30 AM - 9:30 AM at Remote with Chen, S. (TA)
Instructors: Chen, S. (TA)
Notes: 2) This is the most suitable time for students based in India, Africa, Europe, and parts of Russia. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times if it works for their schedule. 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33898
|
Section 12 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 25 / 25
01/11/2021 - 03/19/2021 Tue, Thu 10:30 AM - 11:30 AM at Remote with Ortiz, J. (TA)
Instructors: Ortiz, J. (TA)
Notes: 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33903
|
Section 13 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 24 / 25
01/11/2021 - 03/19/2021 Tue, Thu 12:30 PM - 1:30 PM at Remote with Chen, S. (TA)
Instructors: Chen, S. (TA)
Notes: 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33916
|
Section 14 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 21 / 25
01/11/2021 - 03/19/2021 Tue, Thu 2:30 PM - 3:30 PM at Remote with Kraushar, N. (TA)
Instructors: Kraushar, N. (TA)
Notes: 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33917
|
Section 15 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 19 / 25
01/11/2021 - 03/19/2021 Tue, Thu 4:30 PM - 5:30 PM at Remote with Chen, D. (TA)
Instructors: Chen, D. (TA)
Notes: 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. 2) This is the most suitable time for students based in Australia, China, Korea, and similar time zones. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times starting times if it works for their schedule. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33918
|
Section 16 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 22 / 25
01/11/2021 - 03/19/2021 Tue, Thu 8:30 AM - 9:30 AM at Remote with Falcone, P. (TA)
Instructors: Falcone, P. (TA)
Notes: 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. 2) This is the most suitable time for students based in India, Africa, Europe, and parts of Russia. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times if it works for their schedule. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33926
|
Section 17 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
| Students enrolled: 22 / 25
01/11/2021 - 03/19/2021 Tue, Thu 10:30 AM - 11:30 AM at Remote with Kraushar, N. (TA)
Instructors: Kraushar, N. (TA)
Notes: 1) Active Discussion Section: Active Mode: Students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions.
2020-2021 Spring
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
22898
|
Section 01 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
03/29/2021 - 06/04/2021 Mon, Wed, Fri 8:30 AM - 9:30 AM at Remote with Kim, G. (PI)
Instructors: Kim, G. (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 #
22899
|
Section 02 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
03/29/2021 - 06/04/2021 Mon, Wed, Fri 1:00 PM - 2:00 PM at Remote with Kim, G. (PI)
Instructors: Kim, G. (PI)
Notes: Enroll in a lecture section, plus mandatory discussion section. Enroll in discussion section in Axess. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
33960
|
Section 03 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 8:30 AM - 9:30 AM at Remote
Notes: This is the most suitable time for students based in India, Africa, Europe, and parts of Russia. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times if it works for their schedule. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34017
|
Section 04 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 4:30 PM - 5:30 PM at Remote
Notes: This is the most suitable time for students based in Australia, China, Korea, and similar time zones. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times starting times if it works for their schedule. -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34023
|
Section 05 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 10:30 AM - 11:30 AM at Remote -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34037
|
Section 06 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 2:30 PM - 3:30 PM at Remote -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34051
|
Section 07 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 12:30 PM - 1:30 PM at Remote -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34073
|
Section 08 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 10:30 AM - 11:30 AM at Remote -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34077
|
Section 09 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 12:30 PM - 1:30 PM at Remote -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34079
|
Section 10 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 2:30 PM - 3:30 PM at Remote -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34083
|
Section 11 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 10:30 AM - 11:30 AM at Remote -
MATH 51 |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
34094
|
Section 12 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 8:30 AM - 9:30 AM at Remote
Notes: This is the most suitable time for students based in India, Africa, Europe, and parts of Russia. Students in North American time zones are encouraged to please use 10:30am, 12:30pm, or 2:30pm starting times if it works for their schedule.
2020-2021 Summer
-
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
17542
|
Section 01 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
06/21/2021 - 08/27/2021 Mon, Wed, Fri 10:00 AM - 11:00 AM at Remote with Lucianovic, M. (PI)
Instructors: Lucianovic, M. (PI) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
17543
|
Section 02 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
06/21/2021 - 08/27/2021 Mon, Wed, Fri 11:30 AM - 12:30 PM at Remote with Lucianovic, M. (PI)
Instructors: Lucianovic, M. (PI) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
19871
|
Section 03 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
06/21/2021 - 08/27/2021 Mon, Wed, Fri 2:30 PM - 3:30 PM at Remote with Spink, H. (PI)
Instructors: Spink, H. (PI) -
MATH 51 |
5 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
20884
|
Section 888 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
06/21/2021 - 08/12/2021 Mon, Tue, Wed, Thu, Fri 8:30 AM - 9:30 AM at Remote
MATH 51A: Linear Algebra, Multivariable Calculus, and Modern Applications, ACE
Students attend one of the regular
MATH 51 lectures with a longer discussion section of four hours per week instead of two. Active mode: students in small groups discuss and work on problems from a worksheet distributed 2 or 3 days in advance, with a TA providing guidance and answering questions. Application required:
https://forms.gle/7Bexo81r9YcZYRW1A
Terms: Aut, Win, Spr
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Kim, G. (PI)
;
Lucianovic, M. (PI)
;
Taylor, C. (PI)
...
more instructors for MATH 51A »
Instructors:
Kim, G. (PI)
;
Lucianovic, M. (PI)
;
Taylor, C. (PI)
;
Yang, K. (PI)
;
Arana Herrera, F. (TA)
;
Cotner, S. (TA)
;
Helfer, J. (TA)
2020-2021 Autumn
-
MATH 51A |
6 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
16342
|
Section 01 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
09/14/2020 - 11/20/2020 - at Remote with Taylor, C. (PI)
Instructors: Taylor, C. (PI)
Notes: Math 51A students attend one Math 51 lecture. -
MATH 51A |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
16909
|
Section 02 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
09/14/2020 - 11/20/2020 Tue, Thu 12:30 PM - 2:30 PM at Remote with Cotner, S. (TA)
Instructors: Cotner, S. (TA)
2020-2021 Winter
-
MATH 51A |
6 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
23070
|
Section 01 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
01/11/2021 - 03/19/2021 - at Remote with Lucianovic, M. (PI); Arana Herrera, F. (TA)
Instructors: Lucianovic, M. (PI); Arana Herrera, F. (TA)
Notes: Math 51A students attend one of Math 51 lectures.
Additional Resources: (Login to view additional resources) -
MATH 51A |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
23095
|
Section 02 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
01/11/2021 - 03/19/2021 Tue, Thu 12:30 PM - 2:30 PM at Remote with Helfer, J. (TA)
Instructors: Helfer, J. (TA)
2020-2021 Spring
-
MATH 51A |
6 units |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
22890
|
Section 01 |
Grading: Letter or Credit/No Credit Exception |
LEC
| Remote: Synchronous
03/29/2021 - 06/04/2021 - with Kim, G. (PI)
Instructors: Kim, G. (PI)
Notes: Math 51A students attend one of the Math 51 lectures. -
MATH 51A |
UG Reqs: GER:DB-Math, WAY-FR |
Class #
22903
|
Section 02 |
Grading: Letter or Credit/No Credit Exception |
DIS
| Remote: Synchronous
03/29/2021 - 06/04/2021 Tue, Thu 12:30 PM - 2:30 PM at Remote with Yang, K. (PI)
Instructors: Yang, K. (PI)
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