Accelerated Multivariable Calculus-All Sections (FA21)

Scheduled Lectures:

Instructors:

Tutorial:

Course Info:

• Dates: 13 September 2021 - 16 November 2021
• Course Web Page: https://canvas.dartmouth.edu/courses/48659 (or http://www.math.dartmouth.edu/~m11f21/  redirects)

• Placement: To check your placement into Math 11, see DegreeWorks in Banner.  If you are unsure about your preparation or for more information, consult the Mathematics Placement System or talk to your instructor!
• Required Text: Multivariable Calculus (8th edition) by James Stewart; while you are waiting for your text, here is Chapter 12 of Stewart
• Grading: Grade will be based on reading, daily homework, weekly homework, two midterm exams, and a final exam (see Grading).

Course Catalogue Description:

This briskly paced course can be viewed as equivalent to MATH 13 in terms of prerequisites, but is designed especially for first-year students who have successfully completed a BC calculus curriculum in secondary school. In particular, as part of its syllabus it includes most of the multivariable calculus material present in MATH 8 together with the material from MATH 13. Topics include vector geometry, equations of lines and planes, and space curves (velocity, acceleration, arclength), limits and continuity, partial derivatives, tangent planes and differentials, the Chain Rule, directional derivatives and applications, and optimization problems. It continues with multiple integration, vector fields, line integrals, and finishes with a study of Green's and Stokes's theorem.

Learning Outcomes:

By the end of this course, you should be able to:

1. Understand of the basic structures of multivariable calculus: define terms, explain their significance, and apply them in context; and
2. Solve mathematical problems: write mathematically rigorous arguments and think creatively!
   

COVID-19 Information:

Attendance:

You are expected to attend class in person unless you have made alternative arrangements due to illness, medical reasons, or the need to isolate due to COVID-19.  For the health and safety of our class community, please: do not attend class when you are sick, nor when you have been instructed by Student Health Services to stay home.  (If you are unable to attend class, please contact your instructor for further instructions.)

Safety:

In accordance with current College policy, all members of the Dartmouth community are required to wear a suitable face covering when indoors, regardless of vaccination status. This includes our classroom and other course-related locations, such as labs, studios, and office hours.  If you need to take a quick drink during class, please dip your mask briefly for each sip. Eating is never permitted in the classroom. (The only exception to the mask requirement is for students with an approved disability-related accommodation; see Student Accessibility Needs.)  If you do not have an accommodation and refuse to comply with masking or other safety protocols, your instructor is obligated to assure that the COVID health and safety standards are followed, and you will be asked to leave the classroom.  You remain subject to course attendance policies, and dismissal from class will result in an unexcused absence.  If you refuse to comply with masking or other safety protocols, and to ensure the health and safety of our community, your instructor is obligated to report you to the Dean’s office for disciplinary action under Dartmouth’s Standards of Conduct. Additional COVID-19 protocols may emerge. Pay attention to emails from the senior administrators at the College.

Additional Pages:

1. Academic Honor Principle
2. Expectations
3. Grading
4. Homework
5. Exams
6. Consent to Record
7. Mental Health
8. Title IX
9. Religious Observances
10. Supplementary Problems
11. Additional References
12. Student Accessibility Needs
13. Additional Support for your Learning