Name | Role | Office | Office hours | |
Yuriy Nemish | Instructor | AP&M 6321 | ynemish@ucsd.edu | Thursday 4:30 - 6:30 PM (AP&M 6303) |
Chase Wilson | Teaching Assistant | AP&M 2313 | c7wilson@ucsd.edu |
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Arijit Chakraborty | Teaching Assistant | HSS 5045 | archakraborty@ucsd.edu |
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Please, check the following calendar for possible reschedulings of the office hours. You are welcome to attend the office hours of either of the TAs, not just your own.
Date | Time | Room | |
Lecture (YN) | Monday, Wednesday, Friday | 1 - 1:50 PM | CENTR 115 |
Discussion B01 (CW) | Wednesday | 6 - 6:50 PM | CENTR 205 |
Discussion B02 (CW) | Wednesday | 7 - 7:50 PM | CENTR 205 |
Discussion B03 (AC) | Wednesday | 5 - 5:50 PM | CENTR 201 |
Discussion B04 (AC) | Wednesday | 6 - 6:50 PM | CENTR 201 |
Discussion B05 (AC) | Wednesday | 7 - 7:50 PM | CENTR 201 |
Discussion B06 (AC) | Wednesday | 8 - 8:50 PM | CENTR 201 |
Week | Date | Time | Room | Policy | |
Midterm Exam 1 | 4 | Wednesday, Oct 19 | 1 - 1:50 PM | CENTR 115 | Midterm Exams |
Midterm Exam 2 | 8 | Wednesday, Nov 16 | 1 - 1:50 PM | CENTR 115 | Midterm Exams |
Final Exam | Finals | Monday, Dec 5 | 11:30 AM - 2:30 PM | TBA | Final Exam |
Welcome to Math 10C: a one quarter course introduction to calculus of functions of more than one variable. According to the UC San Diego Course Catalog, the topics covered are functions of more than one variable, vector geometry, partial derivatives, velocity and acceleration vectors, and optimization problems.
Here is a more detailed listing of course topics, in the sequence they will be covered, together with the relevant section(s) of the textbook. While each topic corresponds to approximately one lecture, there will be some give and take here. This is a rough schedule that will be updated during the term.
Date | Week | Topic | Strang | Preliminary slides | Final slides | |
---|---|---|---|---|---|---|
9/23 | 0 | Administrivia. Vectors in the plane | 2.1 | Slides 1 | Slides 1 | |
9/26 | 1 | Vectors in the plane | 2.1 | Slides 2 | Slides 2 | |
9/28 | 1 | Vectors in three dimensions | 2.2 | Slides 3 | Slides 3 | |
9/30 | 1 | The dot product | 2.3 | Slides 4 | Slides 4 | |
10/3 | 2 | The dot product | 2.4 | Slides 5 | Slides 5 | |
10/5 | 2 | The cross product | 2.4 | Slides 6 | Slides 6 | |
10/7 | 2 | Equations of lines and planes | 2.5 | Slides 7 | Slides 7 | |
10/10 | 3 | Equations of lines and planes | 2.5 | Slides 8 | Slides 8 | |
10/12 | 3 | Equations of planes | 2.5 | Slides 9 | Slides 9 | |
10/14 | 3 | Vector-valued functions | 3.1, 3.2, 3.4 | Slides 10 | Slides 10 | |
10/17 | 4 | Calculus of vector-valued functions. Motion in space. Review | Slides 11 | Slides 11 | ||
10/19 | 4 | Midterm 1 | ||||
10/21 | 4 | Calculus of vector-valued functions. Review | 3.2 | Slides 12 | Slides 12 | |
10/24 | 5 | Motion in space. Functions of several variables | 4.1 | Slides 13 | Slides 13 | |
10/26 | 5 | Limits and continuity | 4.2 | Slides 14 | Slides 14 | |
10/28 | 5 | Limits and continuity | 4.2 | Slides 15 | Slides 15 | |
10/31 | 6 | Partial derivatives | 4.3 | Slides 16 | Slides 16 | |
11/2 | 6 | Tangent planes and linear approximation | 4.4 | Slides 17 | Slides 17 | |
11/4 | 6 | Differentiability. The chain rule | 4.4, 4.5 | Slides 18 | Slides 18 | |
11/7 | 7 | Directional derivatives and the gradient | 4.6 | Slides 19 | Slides 19 | Prerecorded video |
11/9 | 7 | Maxima/minima | 4.7 | Slides 20 | Slides 20 | |
11/11 | 7 | Veterans Day | ||||
11/14 | 8 | Maxima/minima. Review | 4.7 | Slides 21 | Slides 21 | |
11/16 | 8 | Midterm 2 | ||||
11/18 | 8 | Maxima/minima | 4.7 | Slides 22 | Slides 22 | |
11/21 | 9 | Lagrange multipliers | 4.8 | Slides 23 | Slides 23 | |
11/23 | 9 | Lagrange multipliers | 4.8 | Slides 24 | Slides 24 | |
11/25 | 9 | Thanksgiving | ||||
11/28 | 10 | Lagrange multipliers | 4.8 | Slides 25 | Slides 25 | |
11/30 | 10 | Lagrange multipliers | 4.8 | Slides 26 | Slides 26 | |
12/2 | 10 | Review |
Prerequisite: AP Calculus BC score of 3, 4, or 5, or MATH 10B, or MATH 20B.
Lecture: You are responsible for material presented in the lecture whether or not it is discussed in the textbook. You should expect questions on the exams that will test your understanding of concepts discussed in the lecture.
Homework:
Midterm Exams: The two midterm exams will take place during the lecture time on the dates listed above.
Final Exam: The final examination will be held at the date and time stated above.
The above exam policies will be applied to in-person exams. The exam policies will be changed in case of the change in exam modality. More detailed instructions will be posted on this website later.
Administrative Links: Here are two links regarding UC San Diego policies on exams:
Regrade Policy:
Grading: Your cumulative average will be computed as the best of the following weighted averages:
Your course grade will be determined by your cumulative average at the end of the quarter, and will be based on the following scale:
A+ | A | A- | B+ | B | B- | C+ | C | C- |
97 | 93 | 90 | 87 | 83 | 80 | 77 | 73 | 70 |
The above scale is guaranteed: for example, if your cumulative average is 80, your final grade will be at least B-. However, your instructor may adjust the above scale to be more generous.
Academic Integrity: UC San Diego's code of academic integrity outlines the expected academic honesty of all studentd and faculty, and details the consequences for academic dishonesty. The main issues are cheating and plagiarism, of course, for which we have a zero-tolerance policy. (Penalties for these offenses always include assignment of a failing grade in the course, and usually involve an administrative penalty, such as suspension or expulsion, as well.) However, academic integrity also includes things like giving credit where credit is due (listing your collaborators on homework assignments, noting books or papers containing information you used in solutions, etc.), and treating your peers respectfully in class. In addition, here are a few of our expectations for etiquette in and out of class.