Math UN1201, Section 001
Lecture: Mondays and Wednesdays from 10:10am to 11:25am in 207 Mathematics Building.
Office Hours: Mondays and Wednesdays from 11am to 12:30pm in my office (629 Mathematics building).
Teaching Assistants: TAs will hold their office hours in the Help Room (502 Milstein Center).
Detailed Syllabus: Available here.
Textbook: James Stewart, Calculus: Early Transcendentals, 8th Edition. This is available for purchase at the Columbia bookstore, or you can acquire it as an ebook online.
Prerequisites: Calculus I or equivalent.
Course Website: This website will be the primary source of information for the course. Grades will be posted on CourseWorks.
Course Overview: In Calculus III we will cover the following topics:
Homework: Homework will be assigned weekly and will be due on Wednesdays. There will be 12 homework assignments throughout the semester. These assignments will be due on Wednesdays by 8pm, unless otherwise noted. You should leave your homework in the appropriate Calculus III box outside room 410, on the 4th floor of the math department. Be sure to write your full name (first and last), UNI, and the section number on your homework, and staple all of the pages securely together. Graded homework can be picked up from the appropriate basket outside room 517 (in the Math building).
No late homework will be accepted. However, I understand that due to external circumstances, it may not always be possible to complete your assignments on time. To account for this, the lowest two homework scores will be dropped.
You are encouraged to collaborate on and discuss the homework with other students. However, you must independently write up your own solutions.
Homework assignments will posted below at least one week before the due date. All problems are from Stewart. Solutions will be posted here the morning after the assignment is due.
Office Hours: Mondays and Wednesdays from 11am to 12:30pm in my office (629 Mathematics building).
Teaching Assistants: TAs will hold their office hours in the Help Room (502 Milstein Center).
 Mrudul Thatte: Office hours Wednesdays 25pm. Email: mrudul@math.columbia.edu
 Francesco Grechi: Office hours Mondays 35pm. Email: francesco.grechi@columbia.edu
 Sophia Cornell: Office hours Mondays 13pm. Email: sc4127@columbia.edu
Detailed Syllabus: Available here.
Textbook: James Stewart, Calculus: Early Transcendentals, 8th Edition. This is available for purchase at the Columbia bookstore, or you can acquire it as an ebook online.
Prerequisites: Calculus I or equivalent.
Course Website: This website will be the primary source of information for the course. Grades will be posted on CourseWorks.
Course Overview: In Calculus III we will cover the following topics:
 Vectors and the geometry of space (Chapter 12)
 Vector functions (Chapter 13)
 Functions of several variables and partial derivatives (Chapter 14)
Homework: Homework will be assigned weekly and will be due on Wednesdays. There will be 12 homework assignments throughout the semester. These assignments will be due on Wednesdays by 8pm, unless otherwise noted. You should leave your homework in the appropriate Calculus III box outside room 410, on the 4th floor of the math department. Be sure to write your full name (first and last), UNI, and the section number on your homework, and staple all of the pages securely together. Graded homework can be picked up from the appropriate basket outside room 517 (in the Math building).
No late homework will be accepted. However, I understand that due to external circumstances, it may not always be possible to complete your assignments on time. To account for this, the lowest two homework scores will be dropped.
You are encouraged to collaborate on and discuss the homework with other students. However, you must independently write up your own solutions.
Homework assignments will posted below at least one week before the due date. All problems are from Stewart. Solutions will be posted here the morning after the assignment is due.
HW#1 


HW#2 


HW#3 

Due Wednesday, 2/12, by 8pm Solutions to HW#3 
HW#4 

Due Wednesday, 2/26, by 8pm 
HW#5 
Due Wednesday, 3/4, by 8pm 

HW#6 
Due Wednesday, 3/11, by 8pm 

HW#7 
Due Wednesday, 3/25, by 8pm 

HW#8 
Due Wednesday, 4/8, by 8pm 

HW#9 
Due Wednesday, 4/15, by 8pm 

HW#10 
Due Wednesday, 4/22, by 8pm 

HW#11 
Due Wednesday, 4/29, by 8pm 

HW#12 
Due Wednesday, 5/6, by 8pm 
Exams: There will be 2 inclass midterm exams and 1 final exam.
Midterm#1: Here is a copy of Midterm #1, and here are the solutions.
You may use a nongraphing (nonprogrammable) calculator and can bring a 3x5 index card to the exam (this can just be a sheet of paper cut to be 3 inches by 5 inches, or it can be an actual index card). You can write (or type) anything you want on the index card, but you must put your name on it. I will collect it at the end of the exam to check that it is the appropriate size.
The exam will cover all material through class on Wednesday, 2/12. Precisely, the material on the exam will include everything that we have covered in class as well as the following sections of the textbook: 12.1, 10.3 (p.658662), 15.7 (p.10401041), 15.8 (p.10451046), 12.2, 12.3 (skip "Direction angles and direction cosines"), 12.4 (skip "Torque"), 12.5, 12.6 (drawing traces only  see the worksheet from Homework#4 for sample problems), 10.5 (only what we did in class: given an equation in one of the forms presented in class, you need to know how to graph the curve, and you need to know how to shift the curve  you do not need to know the formal definition or anything about the focus or directrix). [Note: this may be updated after class on Wednesday 2/12 if we do not cover everything planned.].
The following are practice exams to help you prepare for the exam. These are taken from actual exams that have been given in past semesters. Note that every instructor structures the course a little differently, so I have noted questions which you should skip. Also, do not assume that every topic you need to know is covered on one of these exams, and do not assume that these exams will cover every type of question that will be asked. I suggest you take at least one practice exam in an exam setting (75 minutes, one notecard of notes, a nongraphing calculator).
Grading Policy: Your grade will be calculated as follows.
Getting Help: I strongly encourage you to come to my office hours or the TA's office hours if you need help (see schedule above). You may also stop by the Help Room (502 Milstein Center) outside of the TA's office hours and get help. See here for the Help Room schedule. Finally, the math department has a list of graduate students who do private tutoring.
Academic Honesty Policy: Please read the Columbia University Undergraduate Guide to Academic Integrity.
Accessibility and accommodations: Your success in this class is important to me. We all learn differently. If there are aspects of this course that prevent you from learning or exclude you, please let me know as soon as possible. We can develop strategies to meet both your needs and the requirements of the course.
If you have an accommodation letter, please present it to me as soon as possible. If you think you might need official accommodations, I encourage you to contact the Office of Disability Services for a confidential discussion. Once you register with them, they can provide you with an accommodation letter.
Student wellbeing: Your wellbeing is of primary importance. If you are facing challenges related to your physical or mental health, or obstacles like housing or food insecurity, you are encouraged to contact your advising dean and/or the Student Health Service. If you feel comfortable doing so, please do not hesitate to get in touch with me to discuss ways we can put you in the best possible position to succeed.
Inclusivity: We are part of a learning community and must treat one another with respect at all times. This is especially important with regard to race, religion, nationality, sexual orientation, gender, disability, age, immigration status, parental status, and any other aspect of identity. I am committed to ensuring that this class is a supportive, inclusive, and safe environment for all students, and that all students are treated with dignity and respect. See also the Columbia College Notice of NonDiscrimination.
Tentative Course Schedule: This schedule is subject to change as the semester progresses and will be updated if and when changes are made. In parentheses you will find the section(s) of the book that we will cover that week. I strongly suggest you read the section before coming to class. I do not expect that you will understand everything, but it will better prepare you for the day's lecture. After each class, I strongly suggest you reread the section and, in particular, work through the examples in the text (without first looking at the solution in the book!) and check your work. This is a great way to check that you've understood the material and are ready to start the homework problems for that section.
 Midterm #1: Wednesday, February 19
 Midterm #2: Monday, March 30
 Final Exam: Wednesday, May 13, 9am  12pm
Midterm#1: Here is a copy of Midterm #1, and here are the solutions.
You may use a nongraphing (nonprogrammable) calculator and can bring a 3x5 index card to the exam (this can just be a sheet of paper cut to be 3 inches by 5 inches, or it can be an actual index card). You can write (or type) anything you want on the index card, but you must put your name on it. I will collect it at the end of the exam to check that it is the appropriate size.
The exam will cover all material through class on Wednesday, 2/12. Precisely, the material on the exam will include everything that we have covered in class as well as the following sections of the textbook: 12.1, 10.3 (p.658662), 15.7 (p.10401041), 15.8 (p.10451046), 12.2, 12.3 (skip "Direction angles and direction cosines"), 12.4 (skip "Torque"), 12.5, 12.6 (drawing traces only  see the worksheet from Homework#4 for sample problems), 10.5 (only what we did in class: given an equation in one of the forms presented in class, you need to know how to graph the curve, and you need to know how to shift the curve  you do not need to know the formal definition or anything about the focus or directrix). [Note: this may be updated after class on Wednesday 2/12 if we do not cover everything planned.].
The following are practice exams to help you prepare for the exam. These are taken from actual exams that have been given in past semesters. Note that every instructor structures the course a little differently, so I have noted questions which you should skip. Also, do not assume that every topic you need to know is covered on one of these exams, and do not assume that these exams will cover every type of question that will be asked. I suggest you take at least one practice exam in an exam setting (75 minutes, one notecard of notes, a nongraphing calculator).
 Practice Exam 1, Solutions: Skip the "Surface" column in problem 5.
 Practice Exam 2, Solutions: Skip problem 6(b)(c)
 Practice Exam 3, Solutions: Skip problem 5(b)(c)
 Practice Exam 4, Solutions: Skip problem 1(b)(c), 4
 Practice Exam 5, Solutions: Skip problem 5(c)
Grading Policy: Your grade will be calculated as follows.
 Homework: 10%
 Midterms: 25% each
 Final: 40%
Getting Help: I strongly encourage you to come to my office hours or the TA's office hours if you need help (see schedule above). You may also stop by the Help Room (502 Milstein Center) outside of the TA's office hours and get help. See here for the Help Room schedule. Finally, the math department has a list of graduate students who do private tutoring.
Academic Honesty Policy: Please read the Columbia University Undergraduate Guide to Academic Integrity.
Accessibility and accommodations: Your success in this class is important to me. We all learn differently. If there are aspects of this course that prevent you from learning or exclude you, please let me know as soon as possible. We can develop strategies to meet both your needs and the requirements of the course.
If you have an accommodation letter, please present it to me as soon as possible. If you think you might need official accommodations, I encourage you to contact the Office of Disability Services for a confidential discussion. Once you register with them, they can provide you with an accommodation letter.
Student wellbeing: Your wellbeing is of primary importance. If you are facing challenges related to your physical or mental health, or obstacles like housing or food insecurity, you are encouraged to contact your advising dean and/or the Student Health Service. If you feel comfortable doing so, please do not hesitate to get in touch with me to discuss ways we can put you in the best possible position to succeed.
Inclusivity: We are part of a learning community and must treat one another with respect at all times. This is especially important with regard to race, religion, nationality, sexual orientation, gender, disability, age, immigration status, parental status, and any other aspect of identity. I am committed to ensuring that this class is a supportive, inclusive, and safe environment for all students, and that all students are treated with dignity and respect. See also the Columbia College Notice of NonDiscrimination.
Tentative Course Schedule: This schedule is subject to change as the semester progresses and will be updated if and when changes are made. In parentheses you will find the section(s) of the book that we will cover that week. I strongly suggest you read the section before coming to class. I do not expect that you will understand everything, but it will better prepare you for the day's lecture. After each class, I strongly suggest you reread the section and, in particular, work through the examples in the text (without first looking at the solution in the book!) and check your work. This is a great way to check that you've understood the material and are ready to start the homework problems for that section.
Dates 
Material 
1/22 

1/27 & 1/29 

2/3 & 2/5 

2/10 & 2/12 

2/17 & 2/19 

2/24 & 2/26 

3/2 & 3/4 

3/9 & 3/11 

3/23 & 3/25 

3/30 & 4/1 

4/6 & 4/8 

4/13 & 4/15 

4/20 & 4/22 

4/27 & 4/29 

5/4 

5/13 
