Math 1553 - Section 1 - For Spring 2021



Time 11:30 AM ---12:20 PM, TWThF.
Location Our class will meet via Zoom:
Join the Zoom Meetings at this URL: https://lsu.zoom.us/j/98495247320 or use this link
Meeting ID: 984 9524 7320
Passcode: 924412
All class meetings will be recorded in the cloud and will be available for 30 days. I will place the links in the assignments table at the bottom of this web-page on the line corresponding to the date of the class meeting.
Calendar Our class meets from Tuesday, January 12, 2021 through Friday, April 23, 2020. The Final Exam will be Tue., April 27, 12:30pm - 2:30pm.
Leonard Richardson Personal Web Page
Office Hours 1PM--2PM, MTWF, and 2PM--3PM Th. You will find me during office hours at this link:

https://lsu.zoom.us/j/7111204773

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. Office hours will not be recorded and there is a waiting room in case more than one person arrives for the same session. If two or more students would like to see the same thing explained, then several can participate together. Please make use of my office hours. I am very happy to work individually with each individual student.
Telephone 578--1568
E-Mail rich@math.lsu.edu
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 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 from Math 1550 or 1551 and may wish to continue using the e-book version of the text. This is still available to you. Just sign up on WebAssign using the course using the key
(8th Edition, Early Transcendentals) lsu 4658 2503.
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 webassign.com website; students who wish to purchase a webassign access code online should go to this special website:
www.cengagebrain.com/course/4574634
The prices there are:
1. Online access code and e-book, for lifetime of the edition: $92.50
2. All of the above + unbound loose-leaf pages of the book: $103.50
Free Math Tutoring: Free Math tutoring will start January 19. Most of the tutoring will be done online. Here is the link to Center for Academic Success math tutoring in 141 B of the LSU Library. Please check out the website for Math, Chemistry, English, etc.:
https://www.lsu.edu/cas/earnbettergrades/courses/math.php
Some limited in person tutoring will also be held. Please check on the website.
LSU Math will also offer zoom math tutoring. Here is a copy of the Zoom Tutor List and Schedule for Spring 2021.
Syllabus Chapters 7, 10--14.3 in the Stewart text, 8th edition. This course is a four (4) hour course designed for math, science and engineering majors and certain other technical majors. It satisfies four hours of the General Education Analytical Reasoning requirement. This course is a General Education course in the analytical reasoning area because it includes the following area learning objective: LSU graduates will employ scientific and mathematical models in the resolution of laboratory and real-world problems." As a 4-credit course, students are expected to have eight (8) hours of coursework outside of class per week, for a minimum time commitment of 12 hours per week. Of course the number of hours you will need to spend varies according to the individual. But it is very important to spend enough time solving problems with paper and pencil so that you will learn well.

Topics Covered: A partial list of basic skills you should acquire during the course.

Techniques of Integration

Approximate integrals using numerical integration
Evaluate integrals using integration by parts
Evaluate integrals of trigonometric forms
Evaluate integrals by trigonometric substitution
Evaluate integrals by the method of partial fractions
Evaluate Improper Integrals

Infinite Series

Analysis of sequences and their convergence
Use the definition of convergence for series
Use the integral test, the comparison tests, the ratio test and the root test
Determine power series and their intervals of convergence
Form Taylor series for common functions and master simple applications of Taylor series

Parametric Equations, Polar Coordinates and Conic Sections

Draw parametric curves and calculate derivatives along parametric curves
Calculate arc length and speed along parametric curves
Draw polar curves and convert between rectangular and polar forms
Calculate arc length and areas using polar coordinates
Sketch conic sections and write the equations of conic sections

Vectors

Be able to draw two dimensional vectors and do simple arithmetic on vectors
Be able to work with three-dimensional space and with vectors in three dimensions
Be able to calculate dot products, the angle between vectors and vector projections
Calculate cross products and know the geometric interpretations of cross products
Be able to write equations of planes meeting the usual conditions

Calculus of Vector Valued Functions
Recognize and sketch simple vector valued functions
Compute limits and derivatives of vector valued functions
Calculate arc length and speed for vector valued functions
Calculate curvature, the unit normal and the osculating circle for simple parameterizations
Work with uniform circular motion and ballistic motion

Partial Derivatives

Be able to compute partial derivatives of simple functions
Understand Clairaut's Theorem

Prerequisites MATH 1550 or MATH 1551. The student is assumed to be capable in the standard Calculus I topics of finding limits, continuity, finding derivatives of fairly complicated functions, using derivatives, calculating the definite integral for commonly used functions, integration by substitution and the standard applications of the definite integral. Students who are not fully prepared for this course should review the chain rule, the basic integral formulas and integration by substitution, trigonometric functions and polar coordinates.

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. You should maintain a notebook containing solutions to all the assigned problems. 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. If you need to be late, please come in right away, late or not, and join in the classwork. You should not miss any more class time than necessary and no apology is needed for being late. Just come in right away.

Tests

We plan to have 4 take-home open-book hour tests (100 points each) and a two hour final examination (200 points). You will be required to sign a statement affirming that you are submitting only your own work. The problems will be similar to those in the homework. All tests will be graded by me and there will be partial credit, since the work is at least as important as the answer.

How To Submit tests in pdf via email

All tests must be submitted in pdf format as a single pdf file for each test. The tests must be emailed on time directly to me, your teacher. If you have a scanner/printer that will copy your handwritten work directly to a single pdf file, that is fine. Otherwise, you can use your phone to photograph each page, in the correct order, in jpeg. Place all the jpeg files on your desktop, highlight the group, right click the mouse on the group, select PRINT, and select PRINT to PDF. That should do the job, giving yo a single pdf file with all the pages in the correct order. Be very sure to check your file for legibility before submitting. Make sure your writing instrument is dark enough and your light suitable for a clear, readable pdf file. We cannot grade what we cannot read. Thank you for being very careful and considerate about this. Your graded tests will be returned to you with corrections in pdf as well. Save your graded work!

Absences and Attendance

You are missed when you are not in class!

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.

Grades

We plan to have four 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! I will grade your hour tests and return them to you as soon as I am able. Your final average will be the sum of all your test grades divided by 6. So your final test average will be less than or equal to 100. The minimum grade for each letter grade is as follows:
A+, 97
A, 93
A-, 90
B+,87
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!

Remarks

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. Please remember: I am very happy to work with each and every student in order to address individual difficulties, or simply to discuss questions of interest to you.

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 exams you may submit only your own work with no assistance from anyone else. Violations of the academic honesty required by the LSU Code of Student Conduct 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.

Assignment and Test Calendar


The Assignment and Test Calendar in the table below will be updated regularly as the semester proceeds. Be sure to reload this page from the website each time you visit, since it is updated as the semester proceeds! The assignments listed below are from a similar course one year ago. You will know that the assignment has been updated or revised for this semester when I place a due date in the left-hand column.



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Due Dates Assignments and Test Dates
January 12 Read this syllabus and bring any questions with you to class. As with most mathematics classes, we will start work on the first day so be sure you have the text.
Here is the link to the recording of today's class:
LINK.
January 13 7.1 / 1, 3, 5, 7, 9, 11, 13, 15. I will ask you at the beginning of the class today which problems you'd like me to go over. Please ask! We will work together in class.
Here is the link to the recording of today's class:
LINK.
January 14 7.1 / 17, 21(Hint: let u be the numerator), 23, 25, 27, 29, 33, 39, 41, 49*, 51*, 57, 61. Starred problems may be more challenging!
Here is the link to the recording of today's class:
LINK.
January 15 7.2 / 1, 3, 5, 13, 15, 17.
Here is the link to the recording of today's class:
LINK.
January 19 7.2 / 7, 9, 11, 19, 23, 27, 31, 33, 45, 49.
Here is the link to the recording of today's class:
LINK.
January 20 January 19 is a 'catch-up' day because we have learned so many techniques of integration quickly. So there is no new homework due on January 20.
Here is the link to the recording of today's class:
LINK.
January 21 7.3 / 1, 3, 5, 7, 9, 11, 13, 17, 23, 27, 29.
Here is the link to the recording of today's class:
LINK.
January 22 7.4 / 1a, 5a, 7, 9, 11, 13, 15, 17.
Here is the link to the recording of today's class:
LINK.
January 26 7.4 / 1b, 3, 5b, 19, 21, 23, 29, 31, 39.
Here is the link to the recording of today's class:
LINK. SORRY-NO OFFICE HOURS THIS AFTERNOON. EMAIL IF YOU NEED HELP.
January 27 7.8 / 1, 5, 11, 13, 15, 17, 21, 25, 27, 37.
Here is the link to the recording of today's class:
LINK.
January 28 7.5 / 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 31, 41, 45, 57, 71. This can be regarded as a review assignment since all the techniques of integration will be used. Also: Bring Any Other Questions to Review for Hour Test #1 Especially bring questions from the homework assignments, But be sure to bring copies of the actual questions so I can help in class.
Here is the link to the recording of today's class: LINK.
January 29 Hour Test #1 will be downloadable this afternoon, after class. It will cover sections 7.1 -- 7.5 and 7.8. And you will return by email your pdf file of your solutions by noon, Saturday.
Also: Bring Any Other Questions to Review for Hour Test #1 Especially bring questions from the homework assignments, But be sure to bring copies of the actual questions so I can help in class.
Please download Hour Test #1 right after class so you will have plenty of time to work on it before it is due at noon Saturday.
Here is the link to the recording of today's class: LINK.
January 31 Please download First Hour Test, Spring 2021 with solutions and class statistics at the end.
February 2
Here is the link to the recording of today's class: LINK.
February 3 10.1 / 1, 3, 5, 7, 9, 15, 19, 21.
Here is the link to the recording of today's class: LINK.
February 4 10.2 / 1, 3, 5, 11, 17, 19, 29. Please download Graph for exercise 10.2/19.
Here is the link to the recording of today's class: LINK.
February 5 10.2 / 11, 13, 15, 25, 31, 33.
Here is the link to the recording of today's class: LINK.
February 9 10.2 / 41, 43, 61, 63.
Here is the link to the recording of today's class: LINK.
February 10 10.3 / 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 29, 31, 33, 35.
Here is the link to the recording of today's class: LINK.
February 11 10.3 / 55, 57, 59, 61, 63.
Here is the link to the recording of today's class: LINK.
February 12 10.4 / 1 - 19 (odd), 23, 29, 45, 47.
Here is the link to the recording of today's class: LINK.
February 23 Here is the link to the recording of today's class: LINK.
February 24 10.5 / 1, 3, 5, 7, 9, 29.
Here is the link to the recording of today's class: LINK.
February 25 10.5 / 11, 13, 15, 19, 21, 25, 27. Please download a copy of Conic Sections from Thomas' Calculus, 4th Ed.
Here is the link to the recording of today's class: LINK.
February 26 We will of course have class today, but sorry--no office hours today. Email if you need to see me some other office hour before Monday.
Here is the link to the recording of today's class: LINK.
March 2 10.6 / 1, 3, 7, 9, 11, 13, 15.
Here is the link to the recording of today's class: LINK.
March 3 11.1 / 3, 5, 7, 9, 11, 23, 25. 27, 29, 31, 33, 37, 41, 43, 45. Here is a more challenging question, not required but just for fun: 79.
Here is the link to the recording of today's class: LINK.
March 4 Here is the link to the recording of today's class: LINK.
March 5 11.2 /15--51 odd, 57, 59, 61. Also: Hour Test #2 will be made available after class today, covering the assignments from 10.1---11.2. Bring Questions to Review for Hour Test #2. Especially bring questions from the homework assignments, from 10.1 -- 11.2. The test will be due via email to me on Saturday, March 6, by noon.
Please download Spring 2021 Test #2.
Here is the link to the recording of today's class: LINK.
March 7 Please download Spring 2021 Test #2 with Solutions and overall class Statistics at the end.
March 9
Here is the link to the recording of today's class: LINK.
March 10 11.3 / 3, 5, 7, 9, 11, 15, 17, 21, 23, 27, 29.
Here is the link to the recording of today's class: LINK.
March 11 11.4 / 3, 5, 7, 9, 13, 17, 19, 21, 23, 27.
Here is the link to the recording of today's class: LINK.
March 12 11.4 / 15, 25, 29, 31, 37, 40, 41.
Here is the link to the recording of today's class: LINK.
March 16 11.5 / 1--17 odd.
Here is the link to the recording of today's class: LINK.
March 17 11.6 / 3, 5, 7, 9, 11, 13, 15, 17, 19, 23.
Here is the link to the recording of today's class: LINK.
March 18 11.6 / 25, 27, 29, 31, 33, 35. Also: find the 4 limits assigned at the end of class today.
Here is the link to the recording of today's class: LINK.
March 19 11.7 / 1 -- 27(odd).
Here is the link to the recording of today's class: LINK.
March 23 11.8 / 3--21 ODD.
Here is the link to the recording of today's class: LINK.
March 24 11.9 / 3, 5, 7, 9, 11, 13, 15, 17, 25, 41.
The next hour test will be Wednesday, March 31. Here is the link to the recording of today's class: LINK to recorded class meeting.
March 25 11.10 / 1 -- 9 (odd). Here is the link to the recording of today's class: LINK to recorded class meeting.
March 26 11.10 / 11 -- 15 (odd), 21, 23, 25.
Here is the link to the recording of today's class: LINK
March 30 11.10 / 28, 35, 37, 45, 47, 55, 61, 63, 73, 75.
Here is the link to the recording of today's class: LINK
March 31 Bring questions to review for the third hour test, which will cover what we have studied in Chapter 11. Hour Test #3 today, covering assignments that were due since the second hour test. You will download the test, do it at home and turn it in using a scan file by 4 PM Thursday.
Here is the link to the recording of today's class: LINK
Please download Spring 2021 Take-home Hour Test #3 to do today!
April 1 Today you are working on the hour test, so our class will resume meeting on Tuesday, April 6.
April 5 Please download Spring 2021 Test #3 with Solutions and overall class Statistics at the end.
April 6 Today we studied coordinate geometry in three dimensions.
April 7 12.1 / 1 -- 41 (odd). Here is the link to the recording of today's class: LINK to recorded class meeting.
April 8 12.2 / 3, 5, 7, 9, 13. Here is the link to the recording of today's class: LINK to recorded class meeting.
April 9 12.2 / 19, 21, 23, 25, 27, 29, 31, 41, 43. Here is the link to the recording of today's class: LINK to recorded class meeting.
April 10 12.3 / 1 -- 19 (odd), 23, 25, 27, 31 -- 49 (odd). Today is the last of the 4 makeup days for the week LSU was closed due to the ice storm. Here is the link to the recording of today's class: LINK to recorded class meeting.
April 13 Today we will begin study of the vector product of two vectors, known also as the 'cross product' of two vectors. However, I will explain this topic in a different manner from that in the text book. So today is not a good day to skip class! Here is the link to the recording of today's class: LINK to recorded class meeting.
April 14 12.4 / 1--19 odd, 27, 29, 31, 33, 35, 37, 39, 41, 43.
Here is the link to the recording of today's class: LINK to recorded class meeting.
April 15 12.5 / 1, 3, 7, 9, 13, 15, 17, 19.
Here is the link to the recording of today's class: LINK.
April 16 12.5 / 5, 11, 23, 25, 27, 29, 31, 33, 35, 41, 43, 45, 51, 71.
Here is the link to the recording of today's class: LINK
April 20 13.1 / 1, 3, 7, 17, 19, 27, 31, 43, 45, 49.
Here is the link to the recording of today's class: LINK
April 21 13.2 / 3--21 (odd), 23 -- 29 (0dd), 35, 37, 51, 53.
Here is the link to the recording of today's class: LINK
April 22 13.3 / 1, 3, 5, 11, 17 -- 31 (odd).
Here is the link to the recording of today's class: LINK
April 23 Bring questions to review for the final exam.
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. For example, if your final exam grade is A-, you are guaranteed at least a B- in the course.
Thus the final exam provides a safety net that supplements the calculations specified above.
Here is the link to the recording of today's class: LINK
April 26-27 Please download Spring 2021 Final Examination. Please read the instructions carefully and send me your work as instructed by the deadline shown for the Final Exam, Tuesday, April 27: Please return your completed exam to me in pdf format by the end of Tuesday night, April 27. Please do not hesitate to let me know if you have any problems either with the exam or with this schedule.
May 1 Please download Spring 2021 Final Examination with Solutions and overall class Statistics at the end.





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