MTH 141 Introductory Calculus and Analytic Geometry

Text: Calculus 5^th edition, by Hughes-Hallet, Gleason, McCallum, et al., Wiley Pubs.

Calculators: A graphing calculator is required.  The TI-83 or TI-84 is recommended

And an access code to WileyPlus, online homework system

Graphing Calculators

A graphing calculator is required for class and for use on the exams, however there will be some portions of the exams for which no calculator is allowed.  The TI-83 or TI-84 is recommended. The manual that came with your calculator has a section called "Quick Start". Complete this section to become familiar with some of the standard features of you calculator. For this course, we will adhere to the same calculator policy that is used on the Advanced Placement Exams. Follow the link below.

Calculator Policy for Exams

You will be asked to enter programs into your calculator during the semester. One allows you to estimate the values of definite integrals. You can find graphing calculator programs and information about entering programs into your graphing calculator at the following website.

Calculator Programs - University of Arizona

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. Every student must register for his or her own section of WileyPlus:

Section	Instructor	Web address
001	Drymonis	http://edugen.wiley.com/edugen/class/cls126791/
002	Gilbert	http://edugen.wiley.com/edugen/class/cls126792/
003	Pakula	http://edugen.wiley.com/edugen/class/cls126793/
004	Beauregard	http://edugen.wiley.com/edugen/class/cls126794/
005	Baglama	http://edugen.wiley.com/edugen/class/cls126795/
006	Lynd	http://edugen.wiley.com/edugen/class/cls126796/
007	Heissan	http://edugen.wiley.com/edugen/class/cls126797/
008	Pakula	http://edugen.wiley.com/edugen/class/cls126798/
0200	Kulenovic	http://edugen.wiley.com/edugen/class/cls126799/

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.

WileyPlus Handout

MTH 141 is a demanding course for students in the STEM disciplines.  In order to succeed in this course, you will have to work systematically and hard.   In this course we will cover the following.

• Computation of limits by graphical, numerical, and algebraic methods, and the use limits and theorems on continuity to determine continuity properties of functions.
• Computation of derivatives using difference quotients by graphical, numerical and algebraic methods, interpretation of derivatives as rates of change and as slopes of tangent lines, and the use theorems on differentiation (both for computation of derivatives or for properties of differentiable functions).
• Determination of critical and inflection points of functions by graphical and algebraic methods, the use first or second derivatives to analyze monotonicity and concavity of functions, determination of local and global optima of functions.
• Application of derivatives to the computation of limits computation of derivatives of functions defined implicitly.
• Computation of Left-Sums and Right-Sums of functions given algebraically, in tabular form or graphically, and their use to approximate areas and integrals. Interpretation of integrals of rates of change as total change, the use theorems on integration to compute simple integrals, and to determine properties of functions given algebraically or graphically.

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.

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.

There will be three evening exams this semester.

Exam 1	Wednesday September 30 6:00PM to 7:30PM	ALL sections EDWARDS AUD
Exam 2	Wednesday October 28 6:00PM to 7:30PM	ALL sections EDWARDS AUD
Exam 3	Thursday December 3 6:00PM to 7:30PM	Sections 1, 2, 4, 5 CBLS 100 Sections 3, 6, 7, 8 CHAFEE 271

• 3 Exams - 300 pts, 100 pts each
• Final Exam - 200 pts
• Class work, Quizzes, Homework, and Maple Assignments - 200 pts
• Total - 700 pts
  

The particular breakdown of these points into final grades will be given by your instructor.

Maple 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 Maple should help you in your future professional career as well as in understanding material in calculus and calculating solutions to computationally complex problems.

Introduction website for maple Introduction Maple

Don't expect the lab monitors to be able to help you with Maple, it isn't their job to do so. To get help with Maple, you can either

1.) see your instructor, google the commands, or

2.) visit the Tutoring Lab in Lippitt. See the tutoring lab schedule for location and times.

In either case, if you have a worksheet that you started and are having trouble completing, bring it with you on a flash drive when you go to get help. After you finished your Maple homework assignment, you may submit it electronically, rather then in the printed form.

Maple Assignment #1

Maple Assignment #2

Maple Assignment #3

Section 5: James Baglama's class. Due dates for Maple are posted in Sakai.

Any student with a documented disability should contact your instructor early in the semester so that he or she may work out reasonable accommodations with you 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.

Sakai is being used in part to teach this course. That means you should become familiar with using Sakai. Your instructor might place 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 or your 9-digit URI student number and your @mail.uri.edu email password.

Illness Due to Flu:
The H1N1 Flu Pandemic may impact classes this semester. If any of us develop flu-like symptoms, we are being advised to stay home until the fever has subsided for 24 hours. So, if you exhibit such symptoms, please do not come to class. Notify your instructor by phone or by email of your status. Your instructor will communicate by email or by phone with you. In this way you and your instructor will work together to ensure that course instruction and work is completed for the semester. The Centers for Disease Control and Prevention have posted simple methods to avoid transmission of illness. These include: covering your mouth and nose with a tissue when coughing or sneezing; frequently washing your hands to protect from germs; avoiding touching your eyes, nose and mouth; and staying home when you are sick. For more information, please view http://www.cdc.gov/flu/protect/habits.htm URI information on the H1N1 will be posted on the URI website at http://www.uri.edu/news/h1n1, with links to the http://www.cdc.gov site.