Denis Auroux - MWF 2-3pm, Room 155 Dwinelle
Office: 817 Evans.
Office hours (finals week): Wednesday 2-3:30pm (still subject to slight changes).
Lectures: Mondays, Wednesdays and Fridays, 2-3pm, 155 Dwinelle
Discussion sections: Mondays, Wednesday and Fridays, at various
times.
Section enrollment/changes are performed through TeleBears. Note: Keep in mind that, even if the lecture isn't full, you will get placed on the waitlist if you try to enroll in a discussion section that is full, and won't get off the waitlist until space opens up in that section.
The textbook for this course is: Stewart, Multivariable Calculus: Early Transcendentals for UC Berkeley, 7th edition (ISBN: 978-1-285-13239-6, Cengage).
This is a custom edition containing chapters 10 and 12-16 of Stewart's "Calculus: Early Transcendentals", 7th edition; the regular edition is also fine. The 6th edition is also acceptable, but you will need to watch for differences in the numbering of assigned homework problems.
Weekly homework and quizzes 25%; two midterms 25% each; final exam 25%; the lowest midterm can be dropped and replaced by the final exam grade. There will be no make-up exams. This grading policy allows you to miss one midterm, but check your schedule to make sure you have no conflict for the final exam.
Make sure to read the detailed course policy for important information.
Homework assignments are due each Wednesday in section; they will be posted here.
There will be two midterms, on Monday October 14 and Monday November 25 (2-3pm) in the usual lecture room. The final exam will be on Thursday 12/19 (3-6pm) in 220, 230 and 251 Hearst Gym. (Room 220: sections 101-107; Room 230: sections 108-114; Room 251: sections 115-117).
Practice exams and solutions to midterms will be posted here. Please note: the practice midterms are longer (80-90 minutes) than the actual midterms (50 minutes, during regular class time).
Midterm 1 score distribution: the quartiles are 60, 75, 84. (i.e.: 25% of the class got above 84, 25% got between 75 and 84, 25% got between 60 and 75, 25% got below 60). Individual scores are on bSpace.
A very rough estimate of what this might mean in terms of letter grades: cut-off between A- and B+ = somewhere around 83-85; cut-off between B- and C+ somewhere around 67-69; cut-off between C- and D somewhere around 53-55.
Midterm 2 score distribution: the quartiles are 49, 65, 79. (i.e.: 25% of the class got above 79, 25% got between 65 and 79, 25% got between 49 and 65, 25% got below 49).
A very rough estimate of what this might mean in terms of letter grades: cut-off between A- and B+ = somewhere around 81-83; cut-off between B- and C+ somewhere around 61-63; cut-off between C- and D somewhere around 46-48.
Final exam score distribution: the quartiles are 122, 146, 168 (out of 200). (i.e.: 25% of the class got above 168, 25% got between 146 and 168, 25% got between 122 and 146), 25% got below 122. Cut-offs: A-/B+ = somewhere around 170; B-/C+ = somewhere around 140; C-/D = somewhere around 110.
Date | Topics | Book |
Fri 8/30 | Parametric equations | § 10.1, 10.2 |
Mon 9/2 | NO CLASS (Labor Day) | |
Wed 9/4 | Polar coordinates | § 10.3 |
Fri 9/6 | Polar coordinates continued | § 10.4 |
Mon 9/9 | Vectors, dot product | § 12.1, 12.2, 12.3 |
Wed 9/11 | Dot product continued; determinant | § 12.3 |
Fri 9/13 | Cross product | § 12.4 |
Mon 9/16 | Equations of lines and planes | § 12.5 |
Wed 9/18 | Parametric equations and vector functions | § 13.1 |
Fri 9/20 | Velocity, acceleration | § 13.2, 13.4 |
Mon 9/23 | Functions of several variables | § 14.1 |
Wed 9/25 | Partial derivatives | § 14.2, 14.3 |
Fri 9/27 | Tangent plane, linear approximation | § 14.4 |
Mon 9/30 | Chain rule | § 14.5 |
Wed 10/2 | Gradient, directional derivatives | § 14.6 |
Fri 10/4 | Max-min problems | § 14.7 |
Mon 10/7 | Max-min problems continued | § 14.7 |
Wed 10/9 | Lagrange multipliers | § 14.8 |
Fri 10/11 | Review | |
Mon 10/14 | MIDTERM 1 | |
Wed 10/16 | Double integrals | § 15.1, 15.2, 15.3 |
Fri 10/18 | Double integrals in polar coordinates | § 15.4 |
Mon 10/21 | Applications of double integrals | § 15.5 |
Wed 10/23 | Change of variables in double integrals | § 15.10 |
Fri 10/25 | Triple integrals | § 15.7 |
Mon 10/28 | Triple integrals in cylindrical coordinates; applications | § 15.8 |
Wed 10/30 | Triple integrals in spherical coordinates | § 15.9 |
Fri 11/1 | Vector fields | § 16.1 |
Mon 11/4 | Line integrals | § 16.2 |
Wed 11/6 | Gradient fields, fundamental theorem for line integrals | § 16.3 |
Fri 11/8 | Green's theorem | § 16.4 |
Mon 11/11 | NO CLASS (Veterans' Day) | |
Wed 11/13 | Curl and divergence, Green's theorem revisited | § 16.5 |
Fri 11/15 | Surface area | § 16.6 |
Mon 11/18 | Surface integrals and flux | § 16.7 |
Wed 11/20 | The divergence theorem | § 16.9 |
Fri 11/22 | Review | |
Mon 11/25 | MIDTERM 2 | |
Wed 11/27 | More about the divergence theorem | § 16.9 |
Fri 11/29 | NO CLASS (Thanksgiving) | |
Mon 12/2 | Stokes' theorem | § 16.8 |
Wed 12/4 | Stokes' theorem continued; applications to physics | § 16.8 |
Fri 12/6 | Review | |
Mon 12/9 | Optional review (RRR week) | |
Thu 12/19 | FINAL EXAM (3-6pm) |
MIT's OpenCourseWare project has a nice set of video lectures for MIT's multivariable calculus class, taught by a familiar instructor. The overall course topics are roughly the same, but they are covered in a different order and not quite in the same manner, so don't use this as a replacement for attending lectures!
Section | Time | Room | Instructor | Office hours | |
101 | MWF 8-9am | 87 Evans | Kun Chen | ck90624ck@berkeley.edu | F 12-2 / 1070 Evans |
102 | MWF 8-9am | 2 Evans | Qiaochu Yuan | qyuan@berkeley.edu | M & Th 3-4 / 832 Evans |
103 | MWF 9-10am | 30 Wheeler | Noah Schweber | schweber@berkeley.edu | ? |
104 | MWF 9-10am | 200 Wheeler | Qiaochu Yuan | qyuan@berkeley.edu | M & Th 3-4 / 832 Evans |
105 | MWF 12-1pm | 110 Barker | Catherine Cannizzo | ckacannizzo@berkeley.edu | M 3:15-4 & Tu 1:30-3:45 / 832 Evans |
106 | MWF 10-11am | 103 Moffitt | Noah Schweber | schweber@berkeley.edu | ? |
107 | MWF 11-12pm | 237 Cory | Catherine Cannizzo | ckacannizzo@berkeley.edu | M 3:15-4 & Tu 1:30-3:45 / 832 Evans |
108 | MWF 12-1pm | 210 Wheeler | Benjamin Harrop-Griffiths | benhg@math.berkeley.edu | M 5-6 & W 10:30-11:30 / 737 Evans |
109 | MWF 12-1pm | 9 Evans | Justin Chen | jchen419@berkeley.edu | TT 11:30-12:30 / 1064 Evans |
110 | MWF 12-1pm | 7 Evans | Kieren James-Lubin | ksjames@berkeley.edu | ? |
111 | MWF 1-2pm | 220 Wheeler | Justin Chen | jchen419@berkeley.edu | TT 11:30-12:30 / 1064 Evans |
112 | MWF 1-2pm | 200 Wheeler | Benjamin Harrop-Griffiths | benhg@math.berkeley.edu | M 5-6 & W 10:30-11:30 / 737 Evans |
113 | MWF 3-4pm | 3111 Etcheverry | Kun Chen | ck90624ck@berkeley.edu | F 12-2 / 1070 Evans |
114 | MWF 3-4pm | B56 Hildebrand | Kieren James-Lubin | ksjames@berkeley.edu | ? |
115 | MWF 4-5pm | B51 Hildebrand | Maryam Farahmand | mfarahmand@math.berkeley.edu | MW 3-4pm / 1037 Evans |
116 | MWF 5-6pm | 71 Evans | Maryam Farahmand | mfarahmand@math.berkeley.edu | MW 3-4pm / 1037 Evans |
117 | TT 6-8pm | 230C Stephens | Aditya Adiredja | aditya@berkeley.edu | MW after lecture; Tu 5-6 & Th 4-6 in 230C Stephens |