Syllabus for MATH 1320-001
Engineering Calculus II, Summer 2016
Time and location: M,T,W,TH,F: 8:30-9:30 WEB 1250
Instructor: Shiu-Tang Li
Course webpage: http://www.math.utah.edu/∼li/1320-Sum2016/index.html
for course info; the scores are posted on Canvas.
Email: stazlee@hotmail.com
Office hours: After class, or by appointment
Please prepare
Textbook: Calculus, concepts and contexts, 4th edition, by James Stewart.
ISBN: 0-495-55742-0
Important notices for this course
Prerequisites: “C” or better in 1310 or 1311 OR AP Calc BC score of 3
or better OR 1320 can alternatively be entered by earning a “C” or better
in Math 1210 and by being concurrently enrolled in the MATH 1320 ”boot
camp” (Math 13) that covers the material in 1310 that is missing from the
traditional 1210 sequence
Learning Objectives of 1320: The goal of Math 1310 is to master the
basic tools for the study of functions f (x) = y, termed the calculus, and become skilled in its use for solving problems in science and engineering. These
basic tools and problem solving skills are described below.
The tools and skills:
e Students will be able to utilize methods of integration to compute volumes of objects with circular-shaped aspects, and compute lengths of curves.
These applications introduce a higher-level concept of integration, involving the summation of small volume segments dV or small length segments
ds, which are computed by performing an appropriate parameterization to a
real-number-line integral in terms of dx.
f Students will be skilled in using integration to compute problems important in physics and engineering. Students will know how to compute of
an average value of a function using the mean value theorem for integrals,
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the center of mass for objects, and the computation of energy as a force integrated over a distance. Students will also be able to utilize physical laws
to formulate differential equations that solve for the motion of masses by
forces of gravitation, friction, electrostatics, to name a few. Students will
also become familiar with the phenomenon of exponential growth and decay
in science and engineering contexts.
Students will become skilled in computations and applications of infinite sequences and sums. Students will become familiar with the properties
of infinite sums to either converge to a finite value or diverge to an infinite
value, and will learn about methods to determine convergence. Students will
be able to represent functions as a Taylor series, and use Taylor’s theorem
to approximate functions and estimate error from using finitely many terms
of the Taylor series.
] Students will also learn important tools of calculus in higher dimensions. Students will become familiar with 2- and 3-dimensional coordinate
systems, vectors and vector operations including the dot and cross product,
and equations of lines, planes, and other surfaces. Students will also learn
how to represent motion of objects in 3D using vector functions, how to
represent velocity and acceleration using vector projections into tangential
and centripetal coordinates of acceleration, and how to characterize curves in
space by computing arc length and curvature. For functions of 3D surfaces,
students will be able to characterize aspects of surfaces and volumes using
partial derivatives and the gradient vector. Partial derivatives will also be
used to describe approximating tangent planes to points on surfaces, and
how to compute derivatives of multi-dimensional function compositions can
be performed using a multi-dimensional version of the chain rule.
Grading policy: Labs: 15%; Homework 5%; Quizzes 10%; Midterm(1)+Midterm(2)
40%; Final 30%.
Lab: I will assist you and you work in groups to get lab problems done.
Attendance counts.
Homework: There’re 8 hw assigments, and 12 problems are assigned for
each one. We only check completeness for each homework assignment you
turn in (but the grader will still point out your errors). Try to keep your
work neat and organized, for the grader to grade your work more easily.
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Extra credit challenging problem: A few challenging problems will be
assigned. Points are only given to completely correct answers. For each
problem, if 1-2 people do it correctly, each person will get an additional 1%
of the final score. 3-5 people: 0.7%. 6-10 people: 0.5%. 11-15 people: 0.2%.
16 people or more: 0.05% (This means the problem is not challenging at all).
I don’t mind you share your answers - that means you’re sharing your points.
Quizzes: There will be 5 quizzes. You can work in a group of 1-3
people to finish each quiz. If the group size is greater than 4 you have
to split. The problems are bascially taken from homework assignments or
examples taught in class. I won’t do any makeup quizzes. Your lowest
quiz grade only counts 50%.
Midterms: There’re 2 midterms. If you cannot take the midterm at the
scheduled time due to some personal reasons, it’s fine, just let me know in
advance (otherwise you won’t get any points for your midterms) and I will
schedule a slightly harder makeup exam.
Don’t forget to bring your student ID during exams.
Final exam: If you have to do a makeup final, you have to provide a proof,
it could be from a doctor if you have a severe cold, a letter from your parents
if there’s anything family emergency event, or an e-mail from your coach if
you have to participate in contests for our school. I’ll make the makeup final
exam slightly more difficult than the final exam. (In either case I have to
be informed at least 2 hours prior to the exam time. Otherwise you get zero
points.)
Course grades: (May be curved in the end, depending on the overall class
average) Your final letter grade will be determined by your overall percentage
as follows: if your overall percentage is x%, then
A: 93 ≤ x < 100
A-: 90 ≤ x < 93
B+: 87 ≤ x < 90
B: 83 ≤ x < 87
B-: 80 ≤ x < 83
Important dates:
Last Day to drop classes: May 25
Last Day to withdraw classes: June 24
Midterm 1: June 13
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C+: 77 ≤ x < 80
C: 73 ≤ x < 77
C-: 70 ≤ x < 73
D+: 67 ≤ x < 70
D: 63 ≤ x < 67
D-: 60 ≤ x < 62
E:
x < 60
Midterm 2: July 18
Final: August 5
Other rules / assistance
Student Responsibilities: All students are expected to maintain professional behavior in the classroom setting, according to the Student Code,
spelled out in the Student Handbook. You have specific rights in the classroom as detailed in Article III of the Code. The Code also specifies proscribed
conduct (Article XI) that involves cheating on tests, collusion, fraud, theft,
etc. Students should read the Code carefully and know you are responsible for the content. According to Faculty Rules and Regulations, it is the
faculty responsibility to enforce responsible classroom behaviors, beginning
with verbal warnings and progressing to dismissal from class and a failing
grade. Students have the right to appeal such action to the Student Behavior
Committee. http://regulations.utah.edu/academics/6-400.php
Tutoring: The Rushing Math Center offers free drop-in tutoring, a computer lab, and study areas for undergraduates. The Rushing Student Center
is adjacent to the LCB and JWB. The hours for the Fall semester are: 8 am
- 8 pm Monday-Thursday and 8 am - 6 pm on Friday. The tutoring center
will open the second week of classes.
ADA Statement: The University of Utah seeks to provide equal access to
its programs, services and activities for people with disabilities. If you will
need accommodations in the class, reasonable prior notice needs to be given
to the Center for Disability Services, 162 Olpin Union Building, 581-5020
(V/TDD). CDS will work with you and the instructor to make arrangements
for accommodations. All information in this course can be made available in
alternative format with prior notification to the Center for Disability Services.
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