MATH 141

Course Description Analysis of the elementary real functions: algebraic, trigono- metric, exponentials and their inverses, composites, graphs and derivatives. Topics include limits, continuity, asymptotes, the de nition of the derivative, derivatives and derivative rules for algebraic, trigonometric, exponentials, and logarithms, im- plicit di erentiation, related rates, linear appoximation, di erentials, mean value theorem, maxima and minima, curve sketchings, and L’Hospital’s rule.

MTH 141,142, and 143 is a three-semester sequence that covers, at a slower pace, exactly the same material as the two-semester sequence, MTH 161 and 162. This course uses the Tuesday/Thursday 08:00-09:30am Common Exam time. This course cannot be taken for credit after completing any of MTH 141, 142, 143, 161, or 162. Students who want to repeat a course for a grade need to secure the approval of the Dean by completing an online Repeat Course Request Form.

Textbook We use Stewart’s Calculus: Early Transcendentals., 9th edition. You are welcome to use ANY EDITION of this book. • When deciding between purchase and rental, keep in mind that this text is used in Math 141-3, 161-2, and 164. • Reading the textbook is an important part of learning. You de nitely need a book. • IMPORTANT: Online \tutoring” sites, that provide homework so- lutions, such as bartleby learn or chegg, are actually cheating re- sources speci cally forbidden under the university’s and the math department’s academic honesty policy. Don’t subscribe to these. It’s okay to use Khan Academy or similar.

Grades Your course grade will be based on your work in three areas: Exams, Web- work, and Workshop as follows: Webwork 15%, Workshop 5%, Basic Skills Exam (September 10 at 8am) 10%, Midterm 1 (October 8 at 8am) 20%, Midterm 2 (November 14 at 8am) 20%, Fi- nal (December 13 at 4pm ) 30% The  final exam will have two parts. Part A will be worth 10% of your grade. It will be cumulative. If your score on this exam is better than on a midterm, it will replace the midterm score. (Only one midterm can be replaced.) If your score on this exam is better than your score on the Basic Skills Exam, it will replace that as well. Part B of the  nal will cover material after the second midterm. It will be worth 20% of your grade.

Because of the generous replacement policy, the fact that webwork offers unlimited attempts for each problem, and that workshop grades are based solely on attendance, a curve is often not necessary in Math 141. We have the following brackets.

If you earn 92 or more total points, you will receive an A.
If you earn 90 or more total points, you will receive at least an A-.
If you earn 88 or more total points, you will receive at least a B+.
If you earn 82 or more total points, you will receive at least a B.
If you earn 80 or more total points, you will receive at least a B-.
If you earn 78 or more total points, you will receive at least a C+.
If you earn 72 or more total points, you will receive at least a C.
If you earn 70 or more total points, you will receive at least a C-.
If you earn 60 or more total points, you will pass the course. with at least a D. (D+ and D- grades are not awarded.)\

The Basic Skills Exam This exam will take place on September 10 at 8am. It will cover material from Lectures (1)-(3) and precalculus material similar to the exercises in WeBWork 1. It is required for all student in Math 141. If you score more than 60% on this exam, you may switch to Math 161 if you wish. If you score between 50% and 60%, you may consult your instructor about switching to Math 161. If you score less than 20% on this exam (or are absent from the exam), you will be moved to Math 140. This placement is mandatory. If you  nd you are uncomfortable with the material for the exam, you may opt to switch to Math 140 even if you score greater than 20%. We will prepare you for this exam! The exam questions will be very similar to questions found on WeBWork sets 1 through 4 and the suggested exercises for classes (1)-(3). (Suggested exercises are to be found in the Course Schedule.) In addition, supplementary office hours will be offered in the days leading up to the exam. More detail can be found under \Exams in 141.”

WeBWorK is an online homework system developed in the Math Dept. at UR and now used throughout the world. After the BSE, there will be weekly WeBWorK as- signments, which may consist of up to 25 problems. (Before the BSE, WeBWorK will be more frequent. ) WeBWorK homework deadlines are Friday nights at 11:59pm. Please note that extensions will only be granted in exceptional circumstances. A crowded schedule or minor illness are NOT valid reasons to ask for an extension{ WeBWork sets open 10 days before they are due. At most one extension per semester will be granted. If you know you will be absent from school for an extended period, inform your instructor as early as possible so arrangements can be made. The  rst four webwork assignments are designed to help you prepare for the BSE. They are not weekly. Check the Course Schedule for these.

WeBWorK homework counts for 15% of your total grade. No WeBWork sets will be dropped. Your score at the end of the semester will be based on the number of questions you complete out of the total questions assigned. This includes the BSE-oriented sets. Hence, even if you are not able to complete a given assignments, be sure to complete as much of it as you can.

A \WeBWorK TA” will be available to answer questions about WeBWork home- work sets until 9pm on Fridays. Questions received after 9pm may or may not be answered. There is a button on each problem to email the WeBWorK TA. You have unlimited attempts for each WeBWork problem without penalty for multiple attempts.

You are encouraged to discuss homework problems with other students, however, WeBWorK problems are individualized for each student and you must do your own assignment.

Success in Math 141 is highly correlated to the number of WeBWork problems com- pleted.

Workshop (or Recitation) is a small-group meeting led by a teaching assistant. Students will work through a sheet of problems in small groups. Workshop problems are designed to be diffcult and to stretch your understanding. Workshop will be worth 15% of your grade, but will be based on attendance only, not on finishing the problem set. You may miss one workshop. (Your highest 9 will be counted.)

Honesty General Math Department Policy: All assignments and activities associated with this course must be performed in accordance with the University of Rochester’s Academic Honesty Policy. More in- formation is available at: www.rochester.edu/college/honesty. Any usage whatsoever of online solution sets or paid online resources (chegg.com, barteby learn, or similar) is considered an academic honesty violation and will be reported to the Board on Academic Honesty. In particular, any assignment found to contain content which originated from such sources is subject to a minimum penalty of zero on the assignment and a full letter grade reduction at the end of the semester (e.g. a B would be reduced to a C). This applies even if the unauthorized content was obtained through indirect means (through a friend for instance) and/or the student is seemingly unaware that the content originated from such sources. If you have any questions about whether resources are acceptable, please check with your instructor.

Policy specific to Math 141: All exams will take place in person. Wherever possible seats will be assigned. Notes and calculators will not be permitted. Phones and other electronic devices will not be permitted. The presence of electronic devices after the beginning of the exam will be treated as a serious violation of the Academic Honesty Policy and will be reported to the Board on Academic Honesty without any exceptions. The most common instances of academic dishonesty in Math 141 concern the ap- pearance of copying during exams. These are taken seriously and reported. Your work on exams should be your own. You are responsible for reading and following these policies.

Students with Disabilities The University of Rochester respects and welcomes students of all backgrounds and abilities. In the event you encounter any barrier(s) to full participation in this course due to the impact of a disability, please contact the O ce of Disabil- ity Resources. The access coordinators in the O ce of Disability Resources can meet with you to discuss the barriers you are experiencing and explain the eligi- bility process for establishing academic accommodations. You can reach the O ce of Disability Resources at: disability@rochester.edu; (585) 276-5075; Taylor Hall; www.rochester.edu/college/disability. For students who have accommodations and need to sign up to take their exams with proctoring by the disability o ce, a list of exam dates can be found on blackboard.

Here is a detailed list of topics covered.

(1) Introduction and exponential functions
(2) Inverse functions (skipping inverse trig functions), logarithms.
(3) Trigonometry–radian measure, unit circle trig.
(4) More Trig: Trig equations, inverse trig functions.
(5) Finish Ch. 1.3. (Composition, graphs.)
(6) Ch. 2.2 Limits
(7) Ch. 2.3 Limit Laws
(8) Ch. 2.5 Continuity
(9) Ch. 2.6 Limits at infinity
(10) Ch. 2.7, 2.8 Definition of the derivative
(11) Ch. 3.1 Derivatives, polynomial derivatives
(12) Ch. 3.2, 3.3 Higher derivatives, product and quotient rules, trig derivatives
(13) Ch. 3.4 Chain rule, derivatives of exponential functions
(14) Ch. 3.4 More chain rule
(15) Ch. 3.5 Implicit differentiation
(16) Ch. 3.6 Derivatives of logarithmic and inverse trigonometric functions
(17) Applications I: Rates of change
(18) Applications II: Related Rates
(19) Ch. 3.10 Linearization
(20) Ch. 4.1 Extreme Values
(21) Ch. 4.2 Mean value theorem
(22) Ch. 4.4 L’Hopital’s Rule
(23) Ch. 4.3 and 4.5 Derivatives and graphs, curve sketching\