LSU College of Science

Math 2057 Information

Math 2057 - Section 1 - For Spring 2018

Time 1:30--2:20 PM, MWF.
Location Room B16 Lockett Hall (in the basement)
Calendar Our class meets from Wednesday, January 10, 2018 through Friday, April 27, 2018. The Final Exam will be Saturday, May 5, 10 AM -- Noon..
Leonard Richardson Office 386 Lockett
Office Hours MWF Noon -- 1 PM; TTh 1:30-2:30 PM. I am available at many other times. Call or email first to make sure I'm able meet with you. I answer email many times daily---usually quickly.
Telephone 578--1568
Graduate Assistant Ms. Maitreyee Kulkarni will grade the homework quizzes and she will assist me in grading the examinations. She will be available to answer questions in her office, Room TBA Lockett Hall, as follows: TBA. Please be sure to write your quiz and test solutions legibly so that we can read them.
Textbook Homework will be assigned daily based on the progress that day in class. The text book is Calculus: Early Transcendentals, 8th edition, by James Stewart. Please make sure you have the correct version (Early Transcendentals) and the correct edition (8) of this text since assignments will be from this book

We will not be using WebAssign for homework. However, please note: Some students may have WebAssign access already and may wish to use the e-book version of the text. If you wish to use the Webassign e-book then you should use the following key to enroll in the WA course that was set up for this purpose:
(8th Edition, Early Transcendentals) lsu 4658 2503.
Textbook Deals As part of adopting the 8th edition of Stewart for our calculus sequence, the department negotiated a special price for online access to Webassign and the e book. This price is not available at the usual website; students who wish to purchase a webassign access code online should go to this special website:
The prices there are:
Online access code, e book, lifetime of the edition: 92.50
All of the above plus unbound loose leaf pages of the book: 103.50
The regular online price at is 126. We did not negotiate prices for the bound book and a new copy of such a book is more than 200 retail. But one can rent the textbook from, for example, for about 35 per semester, with free return shipping.
Students need a credit card to be able to purchase online. For those without one or for those who prefer the convenience of buying locally, all of the products above are available in the local bookstores near campus with a small markup.
Free Math tutoring: There is free Calculus-I tutoring in Room 285 Lockett. The days and times are: 4:30 - 6:30 PM , Mon- Thursday. The math tutorial in the Shell Center (room 141 Middleton Library) is open from 9:30 AM to 7:00 PM Monday -Thursday, and Friday from 9:30 AM to 3:00 PM. This is free math tutoring.
Also, the Center for Academic Success offers Academic Coaching in test taking and time management and developing study skills.
Prerequisites MATH 1552 or 1553. The student is assumed to be capable and versed in the standard Calculus I and II topics, limits, continuity, derivatives and their applications, definite integral, integration techniques and applications of integration.

Course Description

This course is a three (3) hour third semester calculus course designed for math, science and engineering majors and certain other technical majors. We will study functions of several variables, their partial and directional derivatives with applications, multiple integrals with applications and in spherical and cylindrical coordinates, vector fields including gradient fields and curl and divergence, line integrals, Green's theorem, the Divergence theorem, and Stokes' theorem concerning integration of vector fields. There will be many applications.

Attendance is required and will be counted in your final grade.

Every student's presence and participation in class is an essential part of this course. Most LSU students are conscientious and sensible about coming to class unless there is a serious, excusable reason for not being able to do so. However, there is an unfortunate tendency for some students to become discouraged as the term progresses and to cease regular attendance. This happens despite the fact that a student who is feeling discouraged has an especially great need to be in class and to ask questions. The attendance policy is intended to ensure that every student comes to class even when the going gets tough.

Attendance will be taken and recorded daily and unexcused absences will reduce your final average as follows. If UA is the number of your unexcused absences, UA/4 will be subtracted from your final average. If you need to be absent you must tell me why so that I can determine whether or not such an absence is excused. Depending on circumstances I may require documentation for your absences and documentation will always be required if you are absent from an hour test or from the Final Examination.

Organization of this Class

Please understand that it is from the effort of working your way through assigned problems on paper that you learn mathematics. It is by no means sufficient to read solutions in a solutions manual! Although I hope you benefit from seeing solutions presented in class, you must not expect to learn how to solve problems just from watching. You must work out problems yourself, the hard way, in order to learn this work. Examination problems will be very similar to assigned homework problems. Thus your daily effort on homework problems will be strongly reflected in your test grades. It is very important that you maintain a notebook with all your homework problems worked out fully by yourself. If you email me about a pending assignment, I may send a hint to the whole class in answer to your question, not giving your name of course!
It is very important to come to class every day from the first class of the semester to the last day, and to do all the assignments on time to the best of your ability. Lax attendance or laxity in doing the homework are two of the earliest warning signs of academic failure. Please arrive on time for class. However, anyone may need to be late on some days for reasons beyond your control---such as transportation breakdown or a preceding class running overtime. If you need to be late, please do not wait outside in the hall. Please come in right away, late or not, and take a seat. You should not miss any more class time than necessary and no apology is needed for being late. Just come in right away --taking care to minimize noise-- and be sure to sign the attendance sheet after class if you have not done so already.

When class begins, be sure to put away all cell phones, smart phones, head phones, wrist watch communication devices, tablets, laptops, etc. You are not an internet-connected android. You are a human being and I need your real-time living engagement with the work in class.

When should you ask questions?

You should ask questions every time you do not understand something and also every time you are curious about something. Ask questions in class. If I am looking the other way and you have a question--PLEASE call out to me so I can have the opportunity to answer your question! Ask questions after class. Ask questions in my office. Ask questions by email. Please consider this: If you are approximately 20 years old, then I have been teaching this subject for approximately 2 and 1/2 times as long as you have lived thus far. So I ask you to consider that I just may be able to help you with whatever is causing you difficulty if you will permit me to do so. Please give me a chance to help you to the best of my knowledge and ability.

Tests and Unannounced Homework Quizzes

There will be 3 in-class closed-book hour tests (100 points each) and a two hour final examination (200 points). To ensure that everyone works on every homework problem assigned, there will be unannounced surprise homework quizzes. Each homework quiz will consist of one recent homework problem, with some of the numbers changed so that the answer will be changed accordingly, and each quiz will count for 10 points. The average number of homework quizzes per week will be between 1 and 3. If the whole class is working vigorously on the homework and asking questions, then the average will be close to 1. If not, then the average number of quizzes will increase accordingly. No cell phones, computers, or internet devices are allowed during quizzes, hour tests, and the final exam. You must keep your eyes on your own paper and do your own work. Do not communicate with your classmates during an examination. No books or notes are permitted, electronic, paper, or on any other medium. No electronic devices are permitted on tests other than a scientific calculator (with no symbolic calculations or graphing capability) and a watch to check the time. The problems will be similar to those in the homework. There will be no short-answer questions. All tests will be graded by me with the assistance of the course TA, and there will be partial credit, since the work is at least as important as the answer.


If you miss a test, it is your responsibility to speak to me as soon as possible to determine whether or not your excuse is acceptable. Here is some General Guidance regarding appropriate reasons for absence from a test or examination. If you are in doubt, ask me as soon as possible. However, please note that leaving early for a holiday, making plane reservations to leave early while classes or examinations are scheduled by the University, or planning to attend a social event during University scheduled class times is not a legitimate excuse for missing a test.


There will be three in-class hour tests, worth 100 points each. One half your final exam grade (which has a 200 point maximum score) will replace your lowest hour test grade if there is an hour test grade lower than one half your final exam grade. But beware: The final exam will be comprehensive so please do your best to prepare for each hour test! Our TA and I will grade your hour tests and return them to you as soon as possible, usually the very next class meeting. Your Test Average (TA) will be the sum of all your test grades and the final exam grade plus your total homework quiz score, divided by the maximum possible number of points. Your Final Average will be FA=TA - UA/4, where UA is the number of unexcused absences. The minimum Final Average (FA) for each letter grade is as follows:
A+, 97
A, 93
A-, 90
B, 83
B-, 80
C+, 77
C, 73
C-, 70
D+, 67
D, 63
D-, 60
F, below 60
You should save all your graded work for future study and in case you think your final grade is in error.

Unhappy with your grades in Math?

Click here for a Plan to improve your grades!


It is especially important not to fall behind. It is very important to attend class and to ask questions. Please do not assume you can take care of difficulties later---see me for help as soon as possible if there is something you do not understand! You are responsible for all assigned problems---not just those which we go over in class!

It is not possible to anticipate each student's difficulties so you need to bring them to my attention.

Calculators, Collaboration, and Computer Support

You can use any technology available to help with homework, and you may collaborate with others while doing homework, provided that you maintain a notebook with your own handwritten solutions of each homework problem. However, on in-class exams you may only use a scientific calculator that does not do graphing or symbolic manipulation, such as solving equations and symbolically calculating derivatives and integrals. Also, work on in-class exams must be your own work with no assistance from anyone else. During an exam, attempts to look at other students' exams and the use of crib sheets or formula sheets will be considered to be a violation of the LSU Code of Student Conduct and will be reported to the Student Advocacy and Accountability Office.

The full power of Mathematica is available on many LSU computers, including those in the Math Department's computer labs and in the Library as well. Students can access Mathematica on Tigerware through their MYLSU accounts.
There is a simplified Web Mathematica which is free to use online if you click on the link in this sentence. If you have not already had the Math Department's course in Mathematica, you might find it simpler to figure out how to use the Web Mathematica. However, it is not as versatile as the full version. But do remember, this is an auxiliary resource. The time you spend working on problems on paper is the most important part of homework when it comes to learning the subject. With that understanding, Mathematica can be fun and helpful too.

Homework Assignments and Downloads

The assignments in the table below will be revised daily for the current semester. When you see a valid due-date supplied in the left-hand column, then you will know the assignment is current for this semester. A star (*) next to a problem indicates that it is more challenging than the others. Be sure to reload this page from the website each time you visit, since it is updated daily!
January 10 Read this syllabus so you can ask questions about it in class. Bookmark this page and be sure to get the latest daily version each time you access it to find assignments. Obtain a copy of the correct text book so you will be ready for work.
January 12 14.1 / 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 45, 47, 49, 51, 67, 69. These exercises focus on ways of picturing functions of several variables.
January 15 Martin Luther King Holiday. No classes.
January 22 14.2 / 5, 7, 9, 11, 13, 17, 19, 21, 29, 31, 33, 39, 41.
January 24 14.3 / 15, 17, 19, 21, 27, 29, 33, 39, 41, 47, 49, 51, 57, 61.
January 29 14.4 / 1, 3, 5, 11, 13, 15, 17, 19, 25, 27, 29, 33, 35. Also, please download an example of a non-differentiable function. Although the download refers to a different text, it is helpful also in connection with the current text.
January 31 14.5 / 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23.
February 2 14.5 / 27, 29, 31, 33, 49, 58.
February 3 We have a Saturday class today to make up for one of the snow days!
14.6 / 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29.
February 5 14.6 / 41, 43, 45, 49, 55.
February 7 14.7 / 1, 5, 7, 9, 11, 13, 15, 17. Note: Problem 17 may be hard to complete. Can you find a way to reach the author's conclusion in the answer section?
February 9 14.7 / 31, 33, 35, 37, 41, 43, 45, 47, 49, 51, 53.
February 14 14.8 / 3, 5, 7, 9, 11, 15, 17, 21, 23, 31, 35, 39.
February 16 Bring questions to review for the first hour test.
February 19 First Hour Test: covering sections 14.1 -- 14.8.
February 20 Download Spring 2018 Solutions and Statistical Results for Test #1. You will find the solutions and class statistics at the end of the pdf document. Work out on paper the solutions to test problems you think you missed, following the sketches online at the link listed above. Ask questions in class.
February 23 15.1 / 9 -- 33 (odd), 39, 47, 49.
February 26 -- 28 15.2 / 1 -- 9 (odd), 15, 17, 21, 23. 27, 29, 31, 45, 47, 49, 51, 53, 55.
March 2---5 15.3 / 1 -- 25 (odd), 29.
March 7 15.4 / 1 -- 15 (odd).
March 9 15.5 / 1, 3, 5, 7, 9, 11(Number 11 is harder!).
March 12 -- 14 15.6 / 3 -- 21 (odd), 27, 35.
March 16 15.7 / 1--11 (odd), 17, 19, 21, 23, 25, 27, 29.
March 19 15.8 / 1 -- 29 (odd), 35, 41, 43.
March 21 Bring questions to review for the second hour test, covering Chapter 15.
March 23 Second Hour Test
March 29 Please download Solutions and Statistical Results for Test #2, Spring 2018. Solutions and overall class statistics appear at the end.
April 4 16.1 / 5, 7, 9, 21, 22, 23, 24, 33, 35.
April 6 16.2 / 1 -- 15 (odd); 19, 21, 33, 39, 45. Today ONLY our class will meet in Room 105 Tureaud Hall from 1:30-2:30PM. This room change is for Friday April 6 ONLY, because the Registrar needed B16 at that time for a special event for students in the incoming Freshman class for Fall 2018. Please remember that this room change is for Friday April 6 ONLY. On Monday April 9 we will return to our normal room, B16 in Lockett.
April 11 16.3 / 3 -- 23 (odd), 29.
April 13 16.4 / 1 -- 13 (odd), 17, 19.
April 16 16.5 / 1 -- 7 (odd), 12, 13 -- 21 (odd).
April 18 16.7 / 23, 25, 27, 29. Use the methods learned in class today. If a surface S encloses a region of space, choose the outward normal to calculate the flux of the vector field F across S.
April 20 16.8 / 1, 3, 5, 7, 9. (If asked to use Stokes' theorem to find one side of the equation of Stokes' theorem, this instruction means that it will be easier to evaluate the other side of the Stokes' equation instead.)
April 23 Third Hour Test.
April 24 Please download Solutions and Statistical Results for Test #3, Spring 2018. Solutions and overall class statistics appear at the end.
April 27 16.9 / 3, 5, 7, 9, 11, 13.
Remember that the instruction "Use the Divergence theorem to calculate the flux across the closed surface S in the outward direction" MEANS calculate the integral of the divergence of F over the enclosed volume with respect to volume.
Begin reviewing for the Final Exam. It is important to review ALL the homework problems assigned in this course.
April 30 - May 4 Final Exam Week Office Hours:
Mon: 1--2:30
Tues: 12--2:30
Wed: 12--2
Thurs: 1:30--3
Fri: 1:30--3
in Room 386 Lockett Hall. For other times, call or email first.
Study for the Final Exam! This 200-point exam will cover the whole course in a uniform manner, so remember to review from the beginning of the course. Your final grade for the course will be the larger of the following two:
1. The grade guaranteed by the formula provided higher on this page.
2. One letter below the final exam grade.
Thus the final exam provides a safety net that supplements the calculations specified above.
Saturday, May 5 Final Exam, Saturday, May 5, 10 AM -- Noon
May Download 2018 Solutions and Statistical Results for Final Exam and Final Grades