Math 121 – Calculus III Section D

Math 121 – Calculus III
Section D
Instructor: Catherine Bliss, Ph.D.
Email: [email protected]
*Include Math 121D in the subject line
Classroom: Votey 209
Class time: T/Th 4:25-6:15pm
Office:
Office hours: M 1:10-2:00, Tu 2:50-4:05
W 3:30-4:30, Th 10:05-11:20am,
or by appointment
Henry Lord House, 207C
Webpage: http://www.cems.uvm.edu/~cabliss/teaching html
Textbook:
Calculus: Early Transcendentals Hybrid Version W/Webassign Access by Stewart or
Enhanced Web Assign & E-Book for Calculus: Early Transcendentals
Course description (from the UVM catalog):
Vectors, vector-valued functions. Calculus of functions of several variables: partial derivatives, gradient,
divergence, curl, multiple integrals, line integrals, Stokes' and Green's theorems. Prerequisite: MATH 022
or MATH 023. Credits: 4.00
Communication:
I will be using your UVM email and Blackboard announcements (which are automatically sent to your
UVM email) as the primary means of communication outside of class. Please check these areas frequently
(e.g. daily). I also check my email daily. Be sure to include Math 121D in the subject line and be specific
with your question (e.g. which homework, which problem number, attach a photo of any handwritten work
and things you’ve tried so far).
Homework:
Homework is assigned daily and due before the beginning of the next class meeting. Homework is
completed in WebAssign (www.webassign net). Instructions for how to enroll in WebAssign can be found
at: http://www.uvm.edu/~cems/mathstat/?Page=classes/ewa self-enroll.php. You will need our class key:
uvm 0922 7118
WebAssign Extension Policy: You may request an automatic extension through WebAssign. The request
for an automatic extension must be made within 1 day of the assignment due date. An automatic extension
extends the assignment due date by 24 hours and a max of 2 automatic extensions may be granted.
Automatic extensions carry a penalty of 30% deducted from whatever points have not yet been earned on
the assignment. If you need additional time beyond what is allowed by the Automatic Extensions, you may
request a Manual Extension. This should be reserved for cases of genuine emergency and be supported by
documentation. I will consider the circumstances for the request. Extensions of either type are not permitted
if you have already viewed the Answer Key.
Mathematica Labs:
We will be using Mathematica throughout our course. Mathematica labs will be started in class and
unfinished questions may be completed as homework. If you are having trouble on a lab, please see me
during class or office hours. I generally do not debug code via email. To obtain Mathematica for use on
your personal computer, follow the instructions listed at:
http://www.uvm.edu/~cems/mathstat/?Page=mathematica/default.php

Submit the Mathematica file through the assignment area in our Blackboard course
(https://bb.uvm.edu) prior to the beginning of class on the due date.

Submit a hard copy at the beginning of class on the due date. Hard copies must not exceed one
page. Include your name, section, and title of the lab.
Labs which do not meet these requirements are not accepted for grading and will earn a 0%. The lowest lab
grade will be dropped.
Quizzes:
There will be 1-2 short quizzes given each week. While most quizzes are announced ahead of time, some
quizzes may be unannounced. No make – up quizzes will be given. Since there are no make-up quizzes, the
two lowest quiz grades will be dropped. This is intended to compensate for a missed class day, not to
compensate for low quiz grades. Quizzes will be similar to in class warm-up problems, examples and
homework.
Exams:
There will be two exams during the semester and a cumulative final exam at the end of the semester. Makeup exams: If you have a genuine emergency and cannot attend the exam date, you must notify me within 24
hours of the start of the exam. Failure to notify me within 24 hours or failure to provide appropriate
documentation will result in a 0 score for the exam.
Participation / Etiquette:
You are expected to arrive on-time and to stay for the full class period, to actively participate in class (e.g.
asking/answering questions in class), to refrain from any distracting behavior during class, to keep
computers turned off unless we are explicitly using them, such as in a Mathematica lab session and to keep
cell phones, electronic devices, and other noise-making gizmos off. Adherence to these guidelines will
generally earn you full credit for participation. Failure to adhere to these guidelines will result in partial or
no credit for participation.
Grading:
A+ 98-100
C+ 78-79
Homework & Labs
Quizzes
Exams
Participation
Final
A 92-97
C 72-77
A- 90-91
C- 70-71
15 %
20 %
35 %
5%
25 %
B+ 88-89
D+ 68-69
B 82-87
D 62-67
B- 80-81
D- 60-61
F <60
Special needs:
Any student required special accommodations should notify my explicitly (in writing) by the end of the 2nd
week of the semester.
Academic Integrity:
All students are expected to abide by the University policies regarding academic integrity
(http://www.uvm.edu/cses/code ai.html). Any suspected violations of this policy will be forwarded to
Center for Student Ethics and Standards for further investigation.
Course schedule
*subject to change – check online for most recent updates
Homework in WebAssign is generally due on Tuesday, Thursday and Saturday of each week.
Date
Topic
Assignments
Sept 1
Course policies
Hwk due 9/3
12.1 3D coordinate systems
Install Mathematica
Intro to Mathematica
Sept 3
12.2 Vectors
Hwk due 9/5
12.3 Dot product
Hwk due 9/8
Mathematica lab 1 due 9/10
Mathematical lab 1 (Intro & vectors)
Sept 8
12.4 Cross product
Hwk due 9/10
12.5 Equations of lines and planes
Sept 10
12.6 Cylinders and quadric surfaces
Hwk due 9/12
13.1 Vector functions and space curves
Hwk due 9/15
Mathematica lab 2 due 9/17
Quiz 1 – Sec 12.1-12.3
Mathematica lab 2 (Quadric surfaces & vector
functions)
Sept 15
13.2 Derivatives and integrals of vector functions
Hwk due 9/17
13.3 Arc length and curvature
Sept 17
13.3 Arc length and curvature
Hwk due 9/19
13.4 Motion in space: velocity and acceleration
Hwk due 9/22
Quiz 2 – Sec 12.4-12.6, 13.1
Sept 22
14.1 Functions of several variables
Hwk due 9/24
14.2 Limits and continuity
Sept 24
14.2 Limits and continuity
Hwk due 9/29
Mathematica lab 3 due 10/1
Mathematica lab 3 (multi-variable functions)
Quiz 3 – Sec 13.2-13.4
Sept 29
14.3 Partial derivatives
Hwk due 10/1
14.4 Tangent planes and linear approximations
Oct 1
14.4 Tangent planes and linear approximations
Hwk due 10/3
14.5 Chain rule
Hwk 10/6
Quiz 4 – Sec 14.1-14.2
Oct 6
14.5 Chain rule
Hwk due 10/10
14.6 Directional derivatives and the gradient vector
Oct 8
Exam 1 Ch 12, 13, & 14.1-14.4
Oct 13
14.7 Max and min values
Hwk due 10/15
14.8 Lagrange multipliers
Oct 15
15.1 Double integrals over rectangles
Hwk due 10/17
15.2 Iterated integrals
Hwk due 10/20
Mathematica lab 4 due 10/22
Mathematica lab 4 (max/min)
Quiz 5 – Sec 14.5-14.6
Oct 20
15.2 Iterated integrals
Hwk due 10/22
15.3 Double integrals over general regions
Oct 22
15.4 Double integrals in polar coordinates
Hwk due 10/24
15.5 Applications of double integrals
Hwk due 10/27
Mathematica lab 6 due 10/27
Quiz 6 – Sec 14.7-14.8, 15.1-15.2
Oct 27
15.5 Applications of double integrals
Hwk due 10/29
15.6 Surface area
Oct 29
15.7 Triple integrals
Hwk due 10/31
15.8 Triple integrals in cylindrical coordinates
Hwk due 11/3
Mathematica lab 5 due 11/5
Mathematica lab 5
Quiz 7 – Sec 15.3-15.5
Nov 3
15.8 Triple integrals in cylindrical coordinates
Hwk due 11/5
15.9 Triple integrals in spherical coordinates
Nov 5
Nov 10
Nov 12
Nov 17
Nov 19
Nov 24
Nov 26
Dec 1
Dec 3
Dec 8
Dec 15
15.10 Change of variables in multiple integrals
16.1 Vector fields
Mathematica lab 6
Quiz 8 – Sec 15.6-15.7
16.2 Line integrals
16.3 Fundamental Theorem of line integrals
Exam 2 (14.5-14.8, 15)
16.3 Fundamental Theorem of line integrals
16.4 Green’s Theorem
16.5 Curl and divergence
16.6 Parametric surfaces and their areas
Quiz 9 – Sec 16.1-16.2
Thanksgiving Holiday – No class
Thanksgiving Holiday – No class
16.6 Parametric surfaces and their areas
16.7 Surface integrals
16.8 Stokes’ Theorem
16.9 The Divergence Theorem
Quiz 10 – Sec 16.3-16.7
Review
Cumulative final exam
4:30-7:15pm Votey 209
Hwk due 11/7
Hwk due 11/10
Mathematica lab 6 due 11/12
Hwk due 11/17
Hwk due 11/19
Hwk due 12/1
Hwk due 12/3
Hwk due 12/8
*Schedule subject to change, if need be. Any changes will be noted in class and also on our class webpage:
http://www.cems.uvm.edu/~cabliss/teaching html