Course Description
This course is a sequel to MATH 3 and is appropriate for students who have successfully completed an AB calculus curriculum (or the equivalent) in secondary school. Roughly half of the course is devoted to topics in one-variable calculus, selected from techniques of integrations, areas, volumes, numerical integration, sequences and series including Taylor series, ordinary differential equations and techniques of their solution. The second half of the course studies scalar valued functions of several variables. It begins with the study of vector geometry, equations of lines and planes, and space curves (velocity, acceleration, arclength). The balance of the course is devoted to studying differential calculus of functions of several variables. Topics include limits and continuity, partial derivatives, tangent planes and differentials, the Chain Rule, directional derivatives and applications, and optimization problems including the use of Lagrange multipliers.
Instructors
| Instructor |
Haochen Wu
Section 1 |
Juliette Bruce
Section 2 |
Tristan Phillips
Section 3 |
|---|---|---|---|
| Class | (9L) MWF: 8:50 am - 9:55 am | (11) MWF: 11:30 am - 12:35 pm | (2) MWF: 2:10 pm - 3:15 pm |
| X-Hour | Th: 9:05 am - 9:55 am | Tu: 12:15 pm - 1:05 pm | Th: 1:20 pm - 2:10 pm |
| Classroom | Kmeny 007 | Kemeny 007 | Kemeny 007 |
| Contact | Haochen.Wu.GR@dartmouth.edu | juliette.bruce@dartmouth.edu | Tristan.M.Phillips@dartmouth.edu |
| Office | Kemeny 214 | Kemeny 342 | Kemeny 322 |
| Office Hours |
Tu: 10:45am - 11:45am (Office)
Th: 3:00pm - 4:00pm (Office) |
Tu: 12:15pm - 1:05pm (Office)
W: 2:30pm - 3:30pm (Office) |
M: 1:00pm - 2:00pm (Kemeny 201)
Th: 1:20pm - 2:10pm (Classroom) |
Links
General Information
Please see Lecture Plan for detailed information.
In person lectures
All lectures will be held in person unless otherwise stated. They will not be recorded, nor will slides or lecture notes be available. If you are not feeling well or have been instructed not to come to class, please get in touch with the instructor prior to class. In this case, the instructor will try to arrange to have a classmate take notes for you. Lectures may be rescheduled to the X-hour if needed.
In person and remote office hours
Office hours will generally be held in person. From time to time, it may be announced in class or on CANVAS that office hours will be conducted via Zoom. Individual appointments with instructors may be held remotely via Zoom.
Tutorial Sessions
Our graduate teaching assistants, Rohan Kapoor and Michaela Polley, will run tutorial sessions on Tuesdays and Thursdays from 7:00-9:00pm in Kemeny 007, focusing on answering your questions on the homework and class material. For maximal benefit, we strongly recommend that you try all the homework problems ahead of time and come with your questions to the tutorial. Tutorials are open to all Math 8 students. You don't need an appointment.
X-Hours
The X-hours will be used and scheduled as needed to supplement, extend, or make-up our normal course lectures at my discretion. When scheduled students are expected to attended the X-hours.
Textbook
Calculus, (8th Edition) by James Stewart
Grading
The course grade will be based upon:
- Weekly Homework (20%)
- Class Attendance (10%)
- Midterm Exams (40%)
- Final Exam (30%)
Homework
We will be using webwork (through canvas). We will also suggest textbook problems which will be posted Homework. Homework reinforces concepts and skills while challenging students to extend what they have learned to other types of problems. Because it is important for students to have this experience, instructors will not solve assigned homework problems during office hours before the due date. We will of course answer questions you may have in approaching problems that give you difficulty. It is therefore essential to begin homework sets early so that you may get help if difficulties do arise.
Homework is due each Tuesday at 11:59 pm. We are using webwork , which will be administered through your CANVAS website. As all homework is posted well in advance, no late homework will be accepted. Homework typically covers course material through the past week. The lowest homework score will be dropped.
Attendance
Attendance is a crucial aspect of this course, and students are expected to attend, be engaged with, and contribute class. As an indicator of the importance of being engaged and reflective in the course, attendance counts for 10% of the overall grade. Attendance is measure by completing weekly reflection assignments that ask you write one paragraph each week reflecting on the course. These assignments are due on Fridays at 11:59pm and are submitted via Canvas. No late reflections will be accepted. The lowest reflection score will be dropped.
Exams
- Midterm Exam 1: Monday, October 7: 5:00pm - 7:00pm; Location: Wilder 104.
- Midterm Exam 2: Monday, October 28: 5:00pm - 7:00pm; Location: Wilder 104.
-
Final Exam:
Friday, November 22: 3:30 pm; Location: TBA
(It is cumulative. Also, we cannot accommodate travel plans for the final exam. You are expected to be here on this date.)
Honor Principle
We will strictly enforce Dartmouth's Academic Honor Principle. Please be advised of especially
- Exams: Giving and/or receiving assistance during an examination violates the Academic Honor Principle.
- Homework: Collaboration is both permitted and encouraged, but it is a violation of the honor code for someone to provide the answers for you.
Prerequisite:
Math 3 or advanced placement into Math 8.
Student Religious Observances
Some students may wish to take part in religious observances that fall during this academic term. Should you have a religious observance that conflicts with your participation in the course, please come speak with your instructor before the end of the second week of the term to discuss appropriate accommodations.