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Math 2057 - Sections 1 and 2

Information for Students

General Information

Mathematics 2057-Sections 1 and 2
Summer 2006, MTWThF 1:20 PM - 2:20 PM, Room 221 TUREAUD (Section 1) and 220 TUREAUD (Section 2). See the explanation of these room numbers below, under the heading Organization of these Two Classes!
Leonard Richardson
Room 386 Lockett, 578-1568, rich@math.lsu.edu
My Office Hours
MWF 10:00-11:O0 AM. (For other times you can call first to make sure I'm available.) You can also reach me by e-mail very quickly!
Graduate Assistant Ms. Liqun Fang′s Office Hours
TTh Noon to 1 PM, in Room 343 Lockett Hall. E-mail: liqun@math.lsu.edu.
Free Math Tutorial in room 39 Allen Hall
The hours are: 9:00 AM to 3:00 PM daily, Monday through Friday, beginning June 13.
Stewart, Calculus early transcendentals, 5th Edition. We will cover chapters 14, 15, and 16.
Mathematics 1552 or 1553.

Organization of these Two Classes

I teach both classes at the same time in two adjacent rooms! At the start of each hour (except on Exam days!) both classes will meet together in Room 221 Tureaud, which is big enough for both classes together. There I will give a lecture on the new material for approximately the first half of each daily hour. For the second half of each hour, the class will separate into two groups. On alternate days, students with last names A-H or J-Z will go to the adjacent room, and in these smaller sized groups we will go over homework problems assigned the previous day. My graduate assistant, Ms. Fang, will go over homework problems with the section in the adjacent room while I go over homework problems in the lecture room. Each section will get homework problem work with both Ms. Fang and me, alternating day by day. This way, each section will get the benefit of two different personalities and styles for going over problems, while both sections will see the same lectures which I will present.

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! And although we hope you benefit from seeing how both Ms. Fang and I present solutions to you, you must not expect to learn how to solve problems just from watching us. 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.


No books or notes are permitted. The problems will be similar to those in the homework. 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! You can see questions and solutions from last year's hour tests from this course. Look below in the table showing the assignments.

Insurance Credit

Approximately once a week there will be a surprise pop quiz consisting of a single homework problem selected from those due the preceding several days. If you have been conscientious about the homework - which means solving the problems on paper and asking questions in class when it is time to go over them - then the pop quizzes won't really have any surprises for you. These quizzes will be graded on a 10-point scale by Ms. Fang and the sum of these over the term, adjusted to a 100-point scale, will be your Insurance Credit at the end of the term. This credit can be substituted for your lowest hour test grade if that would be to your advantage. Missed quizzes count as zeros unless there is an acceptable excuse for the absence.


There will be three hour tests, worth 100 points each, and a two hour final examination, worth 200 points. I will grade your hour tests and return them to you the very next class meeting each time. Your final test average will be sum of all your test grades divided by 5. So your final test average will be less than or equal to 100. We will substitute your quiz-based Insurance Credit calculated as explained above for your lowest hour test grade to determine your final average above, provided that would be to your advantage. Your final letter grade will be as follows: 90 -100 (A), 80-89 (B), 70-79 (C), 60-69 (D), Below 60 (F). 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 guidance!


It is especially important not to fall behind. This is particularly important in the summer term, because we will cover a week's work (in a regular semester format) every three days! It is very important to attend class and participate in homework discussions daily. Please do not assume you can take care of difficulties later - see me or Ms. Fang 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 the next day!

Computer Support

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.

But 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. It is not as versatile, but the Plot3D function is there and works fast for surface graphs. There is also a function-integrator which can be fun to use without having to learn very much about Mathematica.

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 may be revised for the current semester. When you see a due-date supplied in the left-hand column, then you will know the assignment is current for this semester.

Due Assignments
June 13Download Level Surfaces Example and Download Example of Domain and Range; 14.1/ 7,9,11,15,17,19,21,23,25,29,37,39,41,59
June 14Download Limit Example; 14.2/ 5-19(odd),23,27,29,31,33,35,37. Not required: #39
June 1514.3/ 13-23(odd),33,35,41,43,45,47,51,78. Not required but interesting - #91
June 16Download Non-differentiable Example; 14.4/ 1,3,5,23,25,27,29,31,33,35
June 1914.5/ 1,5,7,11,15,17,19,23,25,27,29,31,33,35,39,45. Not required but interesting: #55 and #56. Also #51 is much used in applications, but requires careful work!
June 2014.6/ 5-25(odd),39,41,43,56
June 21Download Minimum with No Boundary Example; 14.7/ 27,29,31,33,37,39*,41,43,45,49
June 22Bring questions to review for hour test #1.
June 23First Hour Test: Sections 14.1-14.7. All students will take the test in the larger Room, 221 Tureaud. Please use alternate seats.
June 24Download 2006 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 Monday.
June 27Download Saddle Point Example and Second Derivative Test Example; 14.7/ 5,7,9,11,13,15.
June 2814.8/ 3,5,7,9,11,13,15,17*,19,23
June 2915.1/ 1,3,11-14,17,18
June 3015.2/ 1,3,5,9,11,13,15,17,19,21,23,29,33
July 315.3/ 1,5,7,9,11,15,19,21,25,33,35,37,39,41,43,45; In #33, set up only unless you have symbolic software such as Mathematica to evaluate the double integral! However #35 can be done easily without a computer using polar coordinates.
July 515.4/ 9,11,13,17,19,21,23,25,29,31,36(c)*
July 615.6/ 1,3,5-7,10,11*,12
July 715.7/ 3,5,7,9,11,13,17,19,25
July 1012.7/ 9,19,31-51(odd),55
July 1115.8/ 1,3,5-7,9,11,13a,17,19,21,23,33,35
July 1215.9/ 1,3,5,7,9,11,13,15,19,21,23
July 13Bring Questions to review for hour test #2.
July 14Second Hour Test: Sections 14.7-15.9. Tureaud, Room 221. Please use alternate seats.
July 16Download 2006 Solutions and Statistical Results for Test #2. Study the solutions and bring questions for Monday.
July 1816.1/ 1,3,5,7,9,21,23,25.
July 1916.2/ 1-15(odd),19,21,37,39,41(there is a quick solution!)
July 2016.3/ 3,5,7,9,13,15,17,19,21
July 2116.4/ 1,3,7,9,11,13,15,17,19
July 2416.5/ 1,3,5,7,12,13,15,17,21,31
July 25Download Möbius Band; 16.7/ 5,7,9,11,13,19,21,23,25
July 2616.8/ 1,3,5,7,9,17*,19
July 2716.9/ 3,5,7,9,11,13,15,23,25. Also bring questions to review for hour test #3.
July 28Third Hour Test: Sections 16.1-16.9. All students will take the test in 221 Tureaud. Please use alternate seats.
July 30Download 2006 Solutions and Statistical Results for Test #3.
July 31Pick up your graded third hour test at class Monday and bring questions to review for the Final Exam Wednesday!
Aug 1-2Final Exam Week Office Hours, 11 AM - 12 noon, 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. There will be 10 problems, worth 20 points each, and distributed evenly over the whole course. Safety Net Policy Your final grade will be at least what is guaranteed by your average over the 3 hour tests and the final exam, with replacement of your lowest hour test grade by you quiz average, if that would work to your advantage. However, your letter grade for the course will be no worse than one letter-grade below your Final Exam grade, no matter how low your average may be. For example, an A on the Final Exam will guarantee you at least a B in the course, no matter how low your other grades may be. Similarly, a B on the Final Exam guarantees at least a C, and so on. So study hard - and remember to review the whole course starting from the beginning!
Thursday, Aug 3Final Exam, 10:00 AM - Noon We will use the larger room, 221 Tureaud. Alternate seating is required, so try to arrive early.
Aug 4Download 2006 Solutions and Statistical Results for Final Exam and Final Grades

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