University
of Rhode Island Department of Mathematics
MTH
141 Sections 0005 and 0007
First
Semester Calculus
Section 0005: TTh 9:30-10:45 am Kelley
103, W 11:00-11:50am Lippitt 205
Section 0007: TTh 8-9:15 am Gilbreth 118, M
11:00-11:50am Lippitt 205
|
Instructor |
|
|
Office |
Lippitt
102 F |
|
Phone |
874 5984 |
|
Email |
mcomerford@math.uri.edu |
|
Office Hours |
Wed 2-5pm or by appointment |
|
TAs |
Erin Farrell, Kathryn Golec |
|
Office |
Lippitt
102J |
|
Phone |
874 5973 |
|
Email |
kcgolec@gmail.com |
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TA Office Hours |
M,W,Th 10-11am |
|
Text |
Hughes-Hallet, et. al., Calculus (Fifth Edition), ISBN
04710089156 |
A link to the common MTH 141 webpage may be
found here while a link to the common syllabus and
schedule can be found here
Supplemental Instruction
(SI)
|
Day/Time |
Location |
Instructor(s) |
|
Tuesday 7pm - 8:30pm |
Bliss 205 |
Chris Staniszewski |
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Wednesday 6pm - 7:30pm |
Past 234 |
Yanina Kubic |
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Thursday 6pm - 7:30pm |
Wash 219 |
Chris Staniszewski and Yanina Kubic |
Syllabus: The main topics covered are:
|
Functions
- linear functions, polynomials, exponential functions,
logarithms, trigonometric functions. |
|
Limits (use
of algebraic tricks to evaluate typical non-trivial limits), Continuity |
|
Differentiation
and Differentiability - applying the definition of the derivative as a limit |
|
Differentiation
of well-known functions (i.e. the examples above) |
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Differentiation
rules - sum, difference, product, quotient, chain |
|
Differentiation
of inverse and implicit functions |
|
Linear
Approximation - the local linearization of a function near a point |
|
The Mean
Value Theorem and applications, The First and Second Derivative Tests |
|
Increasing
and Decreasing Functions, Concavity - curve sketching |
|
Optimization |
|
Related
Rates |
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l'Hopital's Rule |
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Area,
Riemann Sums, and the Definite Integral |
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Antiderivatives and the
first part of the Fundamental Theorem of Calculus |
Lectures:
Lectures for the class will
be scanned and put online for you to download and print at your leisure. This
will be done in advance and I expect you to have access to the lecture material
before I present it in class.
A handout with the main
differentiation rules and common mistakes to
avoid is now available here.
A handout with the
derivatives and associated chain rule forms of the most common types of
functions is available here.
A handout with useful
formulae from trigonometry and mensuration for optimization and related rates
problems can be found here.
A handout with common antiderivatives can be found here.
The first worksheet for the
final can be found here. Solutions can be
found here.
The second worksheet for the
final can be found here. Solutions can be
found here.
The third worksheet for the
final can be found here. Solutions can be
found here.
Prerequisites: MTH 111 or equivalent.
Calculators: A graphing calculator is NOT required for this course.
Exams
There will be three evening
exams this semester.
|
Exam 1 |
7:00pm - 8:30pm
Thurs. Oct. 13 |
Chafee 271 |
|
Exam 2 |
7:00pm - 8:30pm
Tues. Nov. 8 |
Chafee 271 |
|
Exam 3 |
7:00pm – 8:30pm
Thurs. Dec 1 |
Edwards Auditorium |
There will be two in class
skills exams this semester.
|
PreCalc Skills Exam |
Thursday September 15,
2011. In class. |
|
Mathematica Skills Exam |
Last week. See course
instructor for exact date. No make-ups allowed. |
There will a comprehensive
final exam.
|
Final Exam |
Monday Dec 19 7-10pm Chafee 271 |
Grade Breakdown
|
Exam 1 |
100pts |
|
Exam 2 |
100pts |
|
Exam 3 |
100pts |
|
Final |
200pts |
|
Mathematica
Projects |
50pts
(25pts each) |
|
WileyPlus |
50pts |
|
The Langauge of Mathematics Assignments |
50pts |
|
Class
work, Quizzes, and Homework |
50pts |
|
Mathematica Skills
Exam |
25pts |
|
PreCalc Skills Exam |
25pts |
|
Total |
750pts |
Grading Scale
|
A (92% - 100%) |
A- (90% - 91%) |
B+ (87% - 89%) |
B (82% - 86%) |
B- (80% - 81%) |
C+ (77% - 79%) |
|
C (72% - 76%) |
C- (70% - 71%) |
D+ (67% - 69%) |
D (60% - 66%) |
F (0% - 59%) |
|
|
Compute Grade -> (your
total points)/750 * 100 = your percentage |
|||||
Remark: Incompletes can only
be given if you are passing the course.
Remark: CALCULATORS WILL NOT BE ALLOWED FOR EXAMS!!
Remark: No across the board curves allowed.
Remark:
No extra credit allowed. The particular breakdown of the Class work, Quizzes,
and Homework (Not WileyPlus), points will be given by
your instructor. All other points, Exams, Final Exam,Mathematica, Language of Mathematics Assignments, WilyPlus, PreCalc Skills Exam,
and Mathematica Skills exam will be as stated above
for ALL sections.
PreCalc Skills Exam
The examination consists of
25 multiple choice questions and has a 50-minute time
limit. The PreCalc Skills Exam will be given in class
during the second week of classes. Your instructor will announce the exact date
of the skills exam. Each question is worth 1 point. If you score 0 - 14 correct
out of 25, we HIGHLY recommend you drop the class and take a precalculus class to better prepare yourself for calulus. NO retakes on the exam allowed. NO calculators
allowed. The exam will test basic algebra skills and precalulus
knowledge that is required to earn a passing grade in Calculus 141. NOTE:
Passing the PreCalc Skills Exam does not guarantee a
passing grade for the course.
Mathematica
Mathematica is a powerful Computer Algebra System (CAS) that can perform the
most complicated calculations and draw spectacular graphics at the touch of the
button. Knowledge of software like Mathematica will help you in your future
professional career as well as in understanding material in calculus and
calculating solutions to computationally complex problems.
Dr. Lew Pakula's
website for Mathematica has links to introductory videos and basic command worksheets.
Click here
for instructions on how to download Mathematica to
your own machine. Provided you restrict your use to campus, you will not have
to pay anything.
Your instructor will
introduce Mathematica to you during lectures and
provide in class tutorials. There will be two Mathematica assignments for the semester, dates are given below. There will be a Mathematica
skills exam given during the last week of classes. Your course instructor will
announce in class the exact date of the skills exam. All Mathematica
assignments MUST be submitted through Sakai using Assignment tool. Computers in
the Library and the Memorial Union computer labs will have Mathematica
installed on them. Laptops in Lippitt Hall 205 also
have Mathematica installed on them. Furthermore, you
can get a student version online from Wolfram if you prefer to work on your own
computer.
Mathematica Assignment #1 Due: 11:55pm Friday October 21
Mathematica Assignment #2 Due: 11:55pm Friday November 18
The projects must be
submitted electronically through Sakai.
Mathematica Skills Exam Last week of classes.
The
Language of Mathematics
There will be five writing
projects on the The Language of Mathematics. You will
be required to use a word processor and submit the writing projects
electronically within your Sakai course shell. Each writing project is designed
to test your understanding of the concepts presented in Calculus. See the
Course Calendar for due dates and your instructor for details on the
assignments.
Language
of Mathematics Assignment 1
Language
of Mathematics Assignment 2
Language of Mathematics Assignment 3 due Friday October 27 2011
by 4pm.
Language of Mathematics Assignment 4 due Wednesday November 23 by
4pm.
Language of Mathematics Assignment 5 due Friday December 9 by
4pm.
WileyPLUS Online Homework System
We will be using WileyPLUS online homework system in this course. To sign up
for the WileyPlus system, you will need a WileyPLUS registration code. The web addresses for
registration are:
|
Section
0005 (9:30am Class) |
|
|
Section
0007 (8am Class) |
If you buy a new copy of the
textbook at the URI Bookstore, a registration code for WileyPLUS
will be included with the book at no additional cost.
If you have a used copy, you
will need to purchase a WileyPLUS code separately.
The cost of a registration code at the Wiley site: WileyPLUS
is about $50. If you buy a new copy of the book from some other source, make
sure it includes the WileyPLUS registration code.
Your instructor will give
you a URL where you will be able to sign up for the WileyPLUS
system. The URL is unique to your section of MTH 141, so do not sign up for WileyPLUS until you decided which section of MTH 141 your
are taking and you have registered for that section. You instructor will tell
you which homework assignments you will be required to complete and their due
dates.
A link to the handout from WileyPlus with the URLs may be found here.
A link to the homework assignments
page on the math 141 common webpage may be found here.
Sakai
Sakai is being used in part
to teach this course. ALL math 141 instructors have a Sakai site for their math
141 section. The Sakai site will contain your grades
and have a link to Assignment tool for submission of your Mathematica
assignments. That means you should become familiar with using Sakai. Your
instructor might place other important course material in the Sakai course
shell. Check with your instructor. You can access Sakai at the following web
address: https://sakai.uri.edu/portal/ Use your e-campus id and your URI Webmail password
Goals
The primary aim of MTH 141
is to prepare students for further study in mathematics, basic sciences, or
engineering by providing an introduction to differential and integral calculus,
and by helping students develop new problem solving and critical reasoning
skills. The objectives of MTH 141 are
¥
To provide a thorough
introduction to differential calculus concepts and methods.
¥
To provide an introduction
to integration as a limit of sums, and to the Fundamental Theorem of calculus.
¥
To provide an introduction
to mathematical modeling and numerical issues through the use of technology.
Learning Outcomes
At the end of the course the
student should be able to:
¥
LIMITS
Evaluate the limit of a function at a point or at infinity
analytically, graphically, and numerically. Evaluate two-sided limits analytically,
graphically, and numerically. Compute limits that result in infinity, and use
this to support statements about the nature of the function. Use limits to
determine vertical and horizontal asymptotes of a function Use limits to
determine if a function is continuous at a point. For a function given in
algebraic or graphical form and defined on an interval or union of intervals,
establish if it is continuous in its domain. Use theorems on continuity of
addition, product, quotient and composition of continuous functions to
determine if a function is continuous at a point or on an interval.
¥
DERIVATIVES
For a given function, calculate the average rate of change
over a given interval. For a given function, approximate the instantaneous rate
of change over a given interval. Approximate numerically or graphically the
slope of a tangent line to a curve at a point. Define and evaluate the
derivative at a point as a limit. Compute algebraically the derivative function
using limits. Approximate numerically or graphically the derivative of a
function at a point. Given the plot of a function, plot the derivative
function. Use graphical, numerical, or algebraic arguments to study
differentiability at a point.
¥
COMPUTING DERIVATIVES
ALGEBRAICALLY
Recall and use the
derivative of the functions: constant, power, logarithmic,
exponential, trigonometric, inverse trigonometric, hyperbolic. Use theorems of
derivatives: linearity, product rule, quotient rule, chain
rule. Compute the derivative of a function given implicitly, and determine
slopes to curves defined implicitly. Compute higher order derivatives.
¥
USING DERIVATIVES
Use derivatives to compute velocity and acceleration of
bodies when the displacement function is given. Use derivatives to solve
related rates problems. Determine critical points and inflection points of a
function given algebraically or graphically. Use derivatives to determine
intervals where a given function is increasing or decreasing, and where a
function is concave up or concave down. Find local optima by finding critical
points and then using the first or second derivative tests. Determine global
optima of a function defined on a bounded or unbounded interval. Use
derivatives to determine intervals where a function is increasing, decreasing,
concave up, concave down. Find the linear
approximation to a function at a given point. Use L'Hopital's
rule to compute limits of the indeterminate forms "zero over zero"
and "infinity over infinity". Use derivatives to compute slopes and
tangent lines to curves in the plane given parametrically. Compute the
derivative of functions given in terms of one or more parameters, and interprete derivatives and the function in relation to
parameter values. State theorems about continuous and differentiable functions,
and be able to use them in simple, direct applications. (Extreme Value Theorem,
Mean Value Theorem, Rolle's theorem, the Racetrack
Principle.)
¥
INTEGRATION
Write down Riemann sums for functions given algebraically.
Represent Riemann sums graphically (left sum, right sum, other). Use Riemann
sums to obtain approximations to areas under a curve or to a definite integral.
Given the graph of a function, approximate the value of an integral by using
Riemann sums. Given a table of values, obtain a Riemann sum and approximate a
definite integral. Compute areas between curves using integrals. Interpret
total change in a function as an integral of rate of change. State and use the
(first form of the ) Fundamental Theorem of Calculus
to compute integrals. State and use the (Second form of the )
Fundamental Theorem of Calculus to compute integrals. Use linearity and
additive properties to compute integrals.
¥
MODELING
Express, in natural language, model characteristics that are
given mathematically through equations or graphs. Develop a mathematical model
from natural language specification, graphs, geometric
figures. Reason symbolically with parameters to determine properties of a
model. Recognize applicability of a model to a situation and limitations
imposed by assumptions.
¥
LOGIC, REASONING
Recognize patterns, trends, symmetries, and use these to
formulate conjectures or draw conclusions Formulate valid arguments to support
or refute a conjecture or hypothesis Determine validity in an argument or
identify the flaw in an invalid argument. Use problem solving strategies such
as considering particular cases, drawing figures, establishing similarities
with other problems, etc.
¥
ESTIMATION AND
APPROXIMATION
Determine if an
approximation is accurate to a number of digits. Recognize reasonableness of a
result through the use of approximations or by checking order of magnitude,
correct units, appropriate signs, etc.
Policies
You are expected to abide by
the University's civility policy:
"The University of
Rhode Island is committed to developing and actively protecting a class
environment in which respect must be shown to everyone in order to facilitate
the expression, testing, understanding, and creation of a variety of ideas and
opinions. Rude, sarcastic, obscene or disrespectful speech and disruptive
behavior have a negative impact on everyone's learning and are considered
unacceptable. The course instructor will have disruptive persons removed from
the class."
Cell phones, IPods,
beepers and any electronic device must be turned off in class.
You are required to do your
own work unless specifically told otherwise by your instructor. In support of
honest students, those discovered cheating on assignments or exams will receive a grade of zero on the assignment or exam. Use
of unauthorized aids such as cheat sheets or information stored in calculator
memories, will be considered cheating. The Mathematics Department and the
University strongly promote academic integrity.
Students with
Disabilities
Any student with a documented
disability is welcome to contact me early in the semester so that we may work
out reasonable accommodations to support your success in this course. Students
should also contact Disability Services for Students: Office of Student Life,
330 Memorial Union, 874-2098. They will determine with you what accommodations
are necessary and appropriate. All information and documentation is
confidential.