Math 141: Calculus I, Fall 2019

University of Rhode Island

# Mathematica projects

The links below contain the first and second Mathematica projects (due Friday, November 8 and Friday, December 6, respectively) and helps for getting started with Mathematica. Please see your section instructor with questions, and make sure to read the instructions to the project carefully. These will be the only two Mathematica projects during the semester.

# Exam preparation

To give you an idea of what the your midterm exams and final exam may look like, the links below take you to copies of midterm exams, solutions, and additional practice problems for MTH 141 from this and past semesters. Please keep in mind that your upcoming exams will be different, perhaps in (but not limited to) the way questions are asked or the topics on which the exam focuses. These links are meant to give you one way of testing your preparation, but by themselves they give no guarantees of what the remaining exams this semester will be like.

# Course Description and Goals

Math 141 introduces the study of calculus. Topics discussed in the course include functions and their graphs, limits, the derivative, applications to finding rates of change and extrema and to graphing, the integral, and applications. The further study of calculus takes place in MTH 142 (Calculus II) and MTH 243 (Calculus for Functions of Several Variables).

The main goal of Math 141 is to prepare students for further study in mathematics, basic sciences, or engineering by introducing them to fundamental ideas used in measuring change and limiting behavior of functions, including limits, derivatives, and integrals, as well as techniques of differentiation and how to apply these to solve real-world problems. Along the way, you will develop new skills in problem solving and critical reasoning. More detailed goals for the course can be found below.

MTH141 Calculus 1 satisfies the URI General Education Requirements A1 and B3.

# Textbook

## Calculus: Single Variable, 7th edition

Deborah Hughes-Hallett, Andrew Gleason, William McCallum, et al.

ISBN: 1119379334
ISBN-13: 978-1119379331

You will need a WileyPLUS access code!

This comes with new textbooks in the bookstore. You can also buy a code directly from Wiley. The account you set up with Wiley for the MTH 141 text may be used again, without extra charge, in MTH 142 sections that use this same textbook.

# Course Schedule

An approximate schedule for the semester may be found here.

# Course Sections

Sec.InstructorMeeting TimesClassroom
0001Erika FioreT/Th 8:00-9:15; W 8:00-8:50Avedisian 240
0002Jake SmithT/Th 8:00-9:15; W 8:00-8:50Lippitt 205
0003Madhav SharmaT/Th 9:30-10:45; M 9:00-9:50Swan 311 (T/Th), Lippitt 204 (M)
0004Michael BarrusT/Th 9:30-10:45; W 9:00-9:50Lippitt 205
0005Gregory LeclercT/Th 11:00-12:15; M 11:00-11:50Swan 203 (T/Th), Lippitt 205 (M)
0006Juhyung LeeT/Th 11:00-12:15; M 11:00-11:50Quinn 314 (T/Th), Lippitt 204 (M)
0007Juhyung LeeT/Th 12:30-1:45; M 12:00-12:50Quinn 104 (T/Th), Lippitt 204 (M)
0008Madhav SharmaT/Th 12:30-1:45; W 12:00-12:50Swan 203 (T/Th), Lippitt 204 (W)

# How to succeed in Math 141

Math 141 is a challenging course, but you can succeed -- it just takes hard work and persistence. Here are some things you can do to help yourself out:

• Come to class! This means every day! Missing Monday's class will make it much harder to follow Tuesday's lecture, and before you know it, things may have snowballed out of control.
• Do the homework right away! Working through the homework immediately after the corresponding lecture will help solidify your comprehension of the material -- which will make it much easier to follow the next lecture
• Visit your instructor's office hours! You don't need to make an appointment; just stop by and ask questions. They're there to help!
• Connect with free tutoring sessions provided by the Math Department and Academic Enhancement Center! More info will be posted here soon about the math department offerings for Fall 2019. No appointment is needed -- just stop by! In addition, the Academic Enhancement Center (AEC) offers free tutoring (schedule TBA, but check out their webpage). Many students find these to be invaluable resources.
• Find or start a study group! Many students find studying in a group more effective than studying alone. The AEC also provides assistance for students who would like group tutoring.

The course grade will be based on three midterm exams, online homework (administered by WileyPLUS), Mathematica homework, section-specific classwork, and a final exam.

Three midterm exams42%
WileyPLUS homework12.5%
Mathematica homework7.5%
Classwork10%
Final exam28%
A92% and above
A-90% - 91%
B+87% - 89%
B82% - 86%
B-80% - 81%
C+77% - 79%
C72% - 76%
C-70% - 71%
D+67% - 69%
D60% - 66%
F59% and below

# Homework

Homework for this course will be submitted through the online system WileyPLUS. WileyPLUS requires a registration code, which comes with each new copy of the textbook. If you wish to purchase a used textbook, you may also buy a registration key directly from Wiley. You are responsible for registering for WileyPLUS in a timely fashion. Please note that Wiley offers a grace period, in which you can get immediate access to the text and homework at no charge and pay online for the semester's access within two weeks.

SectionInstructorURL
0001Erika Fiorehttp://www.wileyplus.com/class/723625
0002Jake Smithhttp://www.wileyplus.com/class/723626
0004Michael Barrushttp://www.wileyplus.com/class/723628
0005Gregory Leclerchttp://www.wileyplus.com/class/723629
0006Juhyung Leehttp://www.wileyplus.com/class/723630
0007Juhyung Leehttp://www.wileyplus.com/class/723632

Please work through each homework assignment as soon as possible after the relevant lecture! If you wait until the last minute, you risk running into technical problems that may keep you from finishing on time. In addition, working through the homework immediately will reinforce your understanding of the material and is a great way to study. You won't save any time by putting it off, so you might as well do it right away!

Late homework submissions will be accepted for two days after the deadline at a 20% penalty and through the end of the semester at a 50% penalty.

# Exams

This class will have three midterm exams and one final exam, with the following dates, times, and locations. More information on exams will be given closer to the first exam.

ExamTimeLocation
Midterm #1Tuesday October 1, 6-7:30 PMChafee 271
Midterm #2Tuesday October 29, 6-7:30 PMChafee 271
Midterm #3Tuesday December 3, 6-7:30 PMChafee 271
Final ExamMonday December 16, 8-11 AMChafee 271

## General Exam Policies

• You must bring your URI Photo ID with you to each exam, and you must show it to a proctor as you hand in your exam.
• You may not take any books, bags, papers, or anything else to your seat. If you bring any of these items with you, you must leave them at the front of the room.
• Proctors will not answer any questions regarding the content of the exam.
• During the exam, you may not leave the room without authorization from the coordinator. Please remember to use the bathroom before the exam!
• No calculators of any kind may be used on exams.
• No cell phones, smart watches, MP3 players, or any electronic devices of any kind may be used or even accessible to you at any time during the exam. Any student found with any electronic device for any reason during the exam will be considered to be cheating.

## Makeup Exam Policy

Makeup exams may be given for students who miss an exam due to an emergency or to an approved scheduling conflict (see below). Makeup exams must be scheduled after the original exam and will be administered as soon as is reasonably feasible.

If you miss any exam due to illness or emergency, you must contact your instructor within 24 hours. If you know that you will need to miss an evaluation due to religious observances or University-sanctioned events (including another class's exam), then you must contact your instructor at least 48 hours before the relevant evaluation.

In all cases, absences must be documented. Failure to provide documentation for an absence will result in a grade of zero for the exam.

## Accommodations for Special Needs

Section 504 of the Rehabilitation act of 1973 and the Americans with Disabilities Act of 1990 require the University of Rhode Island to provide academic adjustments or the accommodations for students with documented disabilities. The student with a disability shall be responsible for self-identification to the Disability Services for Students in the Office of Student Life, providing appropriate documentation of disability, requesting accommodation in a timely manner, and follow-through regarding accommodations requested. It is the student's responsibility to make arrangements for any special needs and the instructor's responsibility to accommodate them with the assistance of the Office of Disability Services for Students.

Any student with a documented disability should contact their section instructor as early in the semester as possible so that they may arrange reasonable accommodations. As part of this process, please be in touch with Disability Services for Students Office at 330 Memorial Union, 401-874-2098.

## Religious Holidays

It is the policy of the University of Rhode Island to accord students, on an individual basis, the opportunity to observe their traditional religious holidays. Students desiring to observe a holiday of special importance must provide written notification to each instructor.

# Course Goals

The goals of the course are:

1. Provide an introduction to one-variable Calculus, which is essential to natural and mathematical sciences, engineering and other areas.
2. Expose students to mathematical concepts and provide mathematical skills needed in their area of specialization.
3. Provide a bridge for the student from high-school or lower-division mathematics courses to upper-division mathematics.
4. Help students to become effective mathematics problem solvers, specifically help them to
• Understand concepts rather than merely mimic techniques;
• Demonstrate understanding through explanation;
• Understand the relationship between a process and the corresponding inverse process;
• Select between formal and approximate methods for solution of a problem, and make judgments about the appropriateness of the choice;
• Select the proper mathematical tool or tools for the task at hand.

# Math 141 Learning Outcomes

MTH141 Calculus 1 satisfies the URI General Education Requirements A1 and B3.

At the end of the course, the student should be competent in the following areas:

• Limits and continuity. Select suitable techniques to/and perform analysis and computation of limits by analytic, graphical and numerical methods, and use limits to investigate properties of functions such as continuity and existence of asymptotes. Investigate continuity properties of functions.
• Derivatives. Select suitable techniques to/and perform analysis and computation of derivative at a point using limits, numerical, and graphical methods. State the definition of derivative as a limit of a difference quotient, and use it to establish its value or non-existence. Perform analysis of differentiability of a function at a point or a set of points, using limits, numerical, or graphical methods.
• Computing derivatives algebraically. Select suitable formulas and theorems to/and perform computation of first and higher order derivatives algebraically. Perform computation derivatives of functions defined implicitly.
• Using Derivatives. Perform analysis and computation using differentiation to/and investigate velocity, acceleration, related rates, monotonicity, optimization problems, linear approximation, limits (L'Hopital's rule), and functions defined parametrically. Apply theorems about continuous and differentiable functions (Extreme Value Theorem, Mean Value Theorem, Rolle's Theorem).
• Integration. Select appropriate technique to perform analysis and computation using Left and Right Riemann sums to approximate integrals. Select suitable formulas and theorems to/and calculate anti-derivatives, and verify answers by differentiation. State the First and Second Fundamental Theorem of Calculus and use it to compute integrals of simple functions, and apply them to total change. Use integrals to compute area of planar regions bounded by simple functions.
• Modeling, Approximation, Technology. Select calculus methods and use technology to analyze mathematical models and determine their applicability. Use technology to analyze accuracy of approximations, perform numerical and symbolic calculations, and produce graphical representations of functions to investigate their properties.
• Written Mathematical Communication. Communicate effectively in written form mathematical ideas and solutions, by stating in a complete, clear, concise, and organized manner steps, calculations, solution strategy, conclusions, and when appropriate, interpreting results in practical or applied terms.