===== Math 323 Calculus III, Spring 2025 ====== ====Sections==== ^ Section Number ^ Instructor ^ Meeting times ^ | 01 | [[ https://www2.math.binghamton.edu/p/people/tlee40/start|Tae Young Lee ]] | MWF 8:00-9:30, CW 212 | | 02 | [[ https://www2.math.binghamton.edu/p/people/grads/jyothis/start|Meenakshy Jyothis]] | MWF 8:00-9:30, CW 214 | | 03 | [[ https://www2.math.binghamton.edu/p/people/grads/jyothis/start| Meenakshy Jyothis]] | MWF 9:40-11:10, CW 214 | | 04 | [[ https://www2.math.binghamton.edu/p/people/rmccull1/start |Ryan McCulloch ]] | MWF 11:20-12:50, CW 112| | 05 | [[ https://www2.math.binghamton.edu/p/people/gzhou/start | Gang Zhou ]] | MWF 1:10-2:40, CW 112| | 06 | [[ https://www2.math.binghamton.edu/p/people/behr/start|Richard Behr ]] | MWF 1:10-2:40, CW 214| | 07 | [[ https://www2.math.binghamton.edu/p/people/abraham/start |Abraham Berman ]] | MWF 2:50-4:20, CW 214 | | 08 | [[ https://www2.math.binghamton.edu/p/people/rmccull1/start |Ryan McCulloch ]] | MWF 4:40-6:10, LN G412 | Course coordinator: Dr. Gang Zhou ====Textbook==== //Multivariable Calculus//, 9th Edition, James Stewart \\ You will need an online access code to WebAssign. More info on this below. * Chapter 12: Vectors and the Geometry of Space * Chapter 13: Vector Functions * Chapter 14: Partial Derivatives * Chapter 15: Multiple Integrals * Chapter 16: Vector Calculus ==== Homework and WebAssign ==== For each section of material covered there will be an assignment of problems on WebAssign. Your WebAssign homework counts towards your grade. Study groups are encouraged, but students should not become too dependent on others. Watching the instructor, or other students, do the problems will not be enough to learn the material. It will be necessary for you to do many exercises yourself in order to be successful on the exams. Attempts to solve homework problems provide the best way to learn the material and to prepare for exams. WebAssign is an online homework system which includes an e-book version of our text. If you purchased the textbook package from our Bookstore or "Cengage Unlimited" when taking 226/227, then you do not need to purchase another one. If you buy the book through the [[http://binghamton.bncollege.com/webapp/wcs/stores/servlet/BNCBHomePage?storeId=19073&catalogId=10001&langId=-1|Binghamton University Bookstore]] then it comes with an access code. If you do not wish to buy the textbook package through the Bookstore, then you can instead purchase "Cengage Unlimited" (1-semester or 4 months). This comes with the ebook and can also be purchased through our Bookstore. "Cengage Unlimited" also comes with the option to rent a hard copy of the textbook by just paying for shipping and handling. You'll have temporary free access to WebAssign for two weeks into the semester without an access code. To gain access to your WebAssign section you need to submit the "Class Key" that you receive from your instructor. All information regarding how to login with Class Key and purchase an access code can be found here [[https://www.cengage.com/coursepages/SUNY_Calculus|Binghamton University WebAssign Registration]] Your username is your Binghamton University username and the institution code is "binghamton". [[https://www.webassign.net/|WebAssign Login Page]] ====Prerequisite==== Math 227 or Math 230 ====Course Objectives==== Develop theoretical and practical skills for multivariable calculus. Specifically, students are expected to be able to demonstrate the following: * Visualize geometry in three-dimensional space * Find and apply vector and scalar equations of lines and planes in three-dimensional space * Understand the calculus of vector-valued functions * Solve unconstrained and constrained optimization problems * Find and interpret partial derivatives, directional derivatives, and gradients * Set up and evaluate double and triple integrals in rectangular, cylindrical, and spherical coordinates * Set up and evaluate line and surface integrals in addition to applying Green's, Stokes', and Divergence Theorem ====Evaluation==== The final grade will be determined as follows: * Test 1, 25% * Test 2, 25% * Final Exam, 30% (see the [[http://bannertools.binghamton.edu/exams/ | schedule]]) * HW & Quizzes, 20% (breakdown at the discretion of the professor, e.g. HW-10%, Quizzes-10% or HW-5%, Quizzes-15%) ====Tentative Schedule==== ^ Week ^ Dates ^ Sections ^ Topics ^ | 1 | Jan 22-24 | 12.1 | 3-D Coordinates | | ::: | ::: | 12.2 | Vectors (Skip Physic Problems/Applications)| | 2 | Jan 27-31 | 12.3 | Dot Products (Skip Direction Angles) | | ::: | ::: |12.4 | Cross Products (Skip Torque & Triple Product) | | ::: | ::: | 12.5 | Lines and Planes (Skip Distances) | | 3 | Feb 3-7 **(Add/Drop Deadline is Feb 3)** | 12.6 | Quadric Surfaces | | ::: | ::: | 13.1 | Vector Valued Functions | | ::: | ::: | 13.2 | Derivatives of Vector Valued Functions | | 4 | Feb 10-14 | 13.3 | Arc Length Only (Skip Curvature & Normal/Binormal Vectors) | | ::: | ::: | 13.4 | Motion in Space (Skip Tangential & Normal Components of Acceleration)| | ::: | ::: | Review | Exam 1 Review: Chapters 12 and 13| | 5 | Feb 17-21 | **Exam 1** | Chapters 12 and 13 | | ::: | ::: | 14.1 | Functions of Several Variables | | ::: | ::: | 14.2 | Limits and Continuity | | 6 | Feb 24-28 | 14.3 | Partial Derivatives | | ::: | ::: | 14.4 | Tangent Planes and Linear Approximation | | ::: | ::: | 14.5 | The Chain Rule | | 7 | March 3-7 | 14.6 | Directional Derivatives and the Gradient | | ::: | ::: | 14.7 | Maxima and Minima | | ::: | ::: | 14.8 |Lagrange Multipliers | | 8 | March 10-14| **Spring Break**| | | 9 | March 17-21 | 15.1 | Double Integrals over Rectangles | | ::: | ::: | 15.2 | Double Integrals over General Regions| | ::: | ::: | 15.3 | Double Integrals in Polar Coordinates| | 10 | March 24-28 | Review | Exam 2 Review: Sections 14.1-15.3 | | ::: | ::: | **Exam 2** | 14.1-15.3 | | ::: | ::: | 15.6 | Triple Integrals | | 11 | March 31 - Apr 4 (**Withdraw Deadline is March 31**)| 15.7 |Triple Integrals in Cylindrical Coordinates| | ::: | ::: | 15.8 | Triple Integrals in Spherical Coordinates | | ::: | ::: | 16.1 | Vector Fields | | 12 | Apr 7-11 | 16.2 | Line Integrals| | ::: | ::: | 16.3 | The Fundamental Theorem of Line Integrals (FTL)| | ::: | ::: | 16.4 | Green's Theorem | | 13 | Apr 14-18 | **Passover Holiday** | | | ::: | ::: | 16.2-16.4 Problems | More Line Integrals, FTL, Green's Theorem | | ::: | ::: | 16.5 | Curl and Divergence | | 14 | Apr 21-25 **(Monday Classes Meet on Tuesday, April 22)** | **Easter Holiday** | | | ::: | ::: | 16.6 | Parametric Surfaces | | ::: | ::: | 16.7 | Surface Integrals | | ::: | ::: | 16.7 | Surface Integrals | | 15 | Apr 28 - May 2 | 16.8 | Stokes' Thm | | ::: | ::: | 16.8 | Stokes' Thm | | ::: | ::: | 16.9 | Divergence Thm | | 16 | May 5-7| 16.7-16.9 Problems | More Surface Integrals, Stokes' Thm, Divergence Thm | | ::: | ::: | Review | Final Exam Review: The test is cumulative with about 80% of the exam covering sects 15.6-16.9 | | ::: | ::: | **No Class** | Reading Day | | 17 | May 9-15 |**Final Exam**| View Final Exam [[http://bannertools.binghamton.edu/exams/ | schedule]] | ===Sample Exams=== {{:calculus/math_323:exam_1_practice_exams_solutions.pdf | Exam 1 Practice Exams }} {{:calculus/math_323:exam_2_practice_exams_solutions.pdf | Exam 2 Practice Exams }} {{:calculus/math_323:exam_3_practice_exams_solutions_update.pdf | Review Problems for Final Exam }} {{:calculus/math_323:math323_sample_final_exams_1-5_fall_2021.pdf | More Review Problems for Final Exam }} ====Help Outside of Class==== /*The Math Help Room, located in Whitney Hall (WH-233), is staffed by instructors who teach the course and will be open after the first week of classes. Students can walk in with no appointment and can ask questions of any available instructor. **[[https://www2.math.binghamton.edu/p/helprooms|Click here for the Math Help Room schedule.]]** */ There is free tutoring offered though University Tutoring Services. All information regarding tutoring can be found here: http://www.binghamton.edu/clt/tutoring-services/index.html If you have test anxiety information about how to handle anxiety can be found here:https://www.binghamton.edu/hpps/mental-health/anxiety.html ====Disability Services==== If you need accommodations for a disability, please see your instructor with documentation from Services for Students with Disabilities. We will do our best to accommodate your needs. ====Academic Honesty==== Cheating is considered a very serious offense. According to the University Catalog, cheating consists of: "Giving or receiving unauthorized help before, during or after an examination". The full strength of Binghamton Academic Honesty Policy will be applied to anyone caught cheating. This may include failing the course, and further disciplinary action. All students should be familiar with the University's [[https://www.binghamton.edu:8443/exist/rest/bulletin/2021-2022/xq/02_acad_policies_procedures_all_students.xq?_xsl=/bulletin/2021-2022/xsl/MasterCompose.xsl#d3339e15|Student Academic Honesty Code]]. ====Other important information==== The [[https://www2.math.binghamton.edu/p/helprooms/start|math help rooms]] and [[https://www.binghamton.edu/clt/tutoring-services/|free tutoring from the CLT]] can be very useful. The very best students are the ones who ask for help. Please note that no calculators are allowed during exams. This course is a 4-credit course, which means that students are expected to do at least __12.5 hours of course-related work or activity each week__ during the semester. This includes scheduled class lecture/discussion meeting times as well as time spent completing assigned readings, studying for tests and examinations, participating in lab sessions, preparing written assignments, and other course-related tasks. /*
Final exam is in GW-69EX (West Gym). Please arrive 10 minutes early to allow time for seating, and please bring your university ID. No calculators, cellphones or computers will be allowed during exams. A student who needs to leave the exam room and will return must leave their cellphone in the room.
01 11081 Nicholas Lacasse MWF 8:00-9:30 LH 4
02 11082 Wei Yang MWF 8:00-9:30 CW 214
03 11083 Christopher Eppolito MWF 9:40-11:10 UU 215
04 20226 Steven Gindi MWF 11:20-12:50 CW 321
05 20227 Adam Weisblatt MWF 1:10-2:40 AA G007
06 20883 Paul Loya MWF 1:10-2:40 FA 212
07 16955 Ulysses Alvarez MWF 2:50-4:20 LH 005
08 25577 Adam Weisblatt MWF 4:40-6:10 SL 302
Coordinator: Paul Loya
Multivariable Calculus by James Stewart, 9th Edition. We will cover Chapters 12-16 with some material omitted. Please see your instructor if the 8th edition is allowed in your section.
Math 227 or Math 230
Develop theoretical and practical skills for multivariable calculus. Specifically, students are expected to demonstrate the following:
For each section of material covered, there are practice exercise problems in the table below and instructors may also assign problems on WebAssign. Some instructors will assign WebAssign homework while others will not. Study groups are encouraged, but students should not become too dependent on others. Watching the instructor, or other students, do the problems will not be enough to learn the material. It will be necessary for you to do many exercises yourself in order to be successful on the exams. Attempts to solve homework problems provide the best way to learn the material and to prepare for exams.
WebAssign is an online homework system which includes an e-book version of our text. If you have a multi-term access code or “Cengage Unlimited” from when taking 226/227, then you do not need to purchase another one. If you buy the book through the Binghamton University Bookstore then it comes with an access code. If you do not wish to buy the textbook package through the Bookstore, then you can purchase ($119.99) “Cengage Unlimited”, 1 term -4 months. This comes with the ebook and can also be purchased through our Bookstore. “Cengage Unlimited” also comes with the option to rent a hard copy of the textbook by just paying for shipping and handling. You'll have temporary free access to WebAssign for two weeks into the semester without an access code. All information regarding how to login with Class Key and purchase an access code can be found here WebAssign Student Quick Start Guide
Your username is your Binghamton University username and the institution code is “binghamton”.
Week of | Problems for 9th edition | Comments |
---|---|---|
1/24 |
12.1: 1-22, 25-46. 12.2: 1-29, 41-48. | 12.2: Skip physics problems. |
1/31 |
12.3: 1-47. 12.4: 1-38, 42-44. 12.5: 1-68, 71-74. |
12.3: Skip work problems. 12.4: Skip torque. Please read 12.6 on your own. |
2/7 |
13.1: 1-40, 49-54. 13.2: 1-30, 37-44, 49-52. 13.3: 1-8, 13, 15-18. 13.4: 3-16. |
Add and Drop/Delete Deadline: Feb 7. 13.3: Arclength only (no curvature or TNB material). 13.4: Focus on defs. of vel, speed, acceleration. |
2/14 |
14.1: 1-16, 20-36, 38-56, 61-72. 14.2: 5-34, 37,38, 41-53. 14.3: 2-64, 67-69, 74, 77-85. | |
2/21 |
Mon: Catch up day! 14.4: 1-10, 15-25, 27, 31-45. 14.5: 1-30, 39-40, 42-47, 49-55. | |
2/28 |
Mon: Review for Friday's test. Wed: In-class Test 1 on Ch. 12-13. 14.6: 1-32, 34-35, 37-42, 44, 47-69, 71-72. | Test 1 on Secs 12.1-13.4. Nothing from Ch. 14. |
3/7 |
14.7: 1-24, 33-40, 43-57. 14.7: Continued. 14.8: 1, 3-29, 39, 41-55. |
For 14.8, do only 1 constraint problems. |
3/14 |
Spring break. | |
3/21 |
14.8: Continued. 14.8: Continued. Fri: Review for midterm. | |
3/28 |
Mon. 3/28: Midterm/Test 2 on 14.1-14.8 (not 15). 15.1: 9-49, 53-56. 15.2: 1-40, 43-50, 55-66, 71-72. |
Monday: In-class Midterm on Ch. 14. |
4/4 |
15.3: 1-42. 15.6: 1-26, 31-42. 15.7: 1-13, 15-27, 31-32. |
We skip 15.4 since this is covered in physics. We skip 15.5 since this is covered in 16.6. |
4/11 |
15.8: 1-32, 37-45. 16.2: 1-24. |
Please read 16.1 on your own! No class Friday April 15. |
4/18 |
Tuesday: Review for Test 3. 16.3: 1-26, 31-32, 34-41. 16.4: 1-18, 23, 31-33. |
Monday classes meet Tuesday! |
4/25 |
Mon: Test 3 on 15.1-15.3 and 15.6-15.9. 16.5: 1-24, 32-34. 16.6: 1-6, 13-26, 33-36, 39-51. |
Mon: In-class Test 3 on Ch. 15. |
5/2 |
16.7: 5-32. 16.8: 1-14, 17-20, 22-23. 16.9: 1-17, 19-22, 26-32. | |
5/9 |
Mon: Catch up and review Green/Stokes/Divergence theorems. Wed: Review for final. | |
Exams |
Test 1: Friday 2/25. (in-class) Test 2: Mon. 3/28. (in-class) Test 3: Mon. 4/25. (in-class) Final: Fri. 5/13, 8-10AM, GW 69EX. |
No calculators are allowed during exams. No cheat/crib sheets are allowed during exams. |
Grades are determined by the 4 exams.
Test 1: Fri. 2/25 |
15% |
Test 2: Wed. 3/28 |
30% |
Test 3: Mon. 4/25 |
15% |
Final: Fri. 5/13, 8-10AM, GW 69EX. |
40% |
The following grading scale is only an approximation (+ and - grades will also be assigned).
A |
90 - 100 |
B |
80 - 89 |
C |
70 - 79 |
D |
60 - 69 |
F | 0 - 59 |
The Math Help Room, located in Whitney Hall (WH-233), will be open after the first week of classes. Students can walk in with no appointment and can ask questions of any available instructor.
Click here for the Math Help Room schedule.
There is free tutoring offered though University Tutoring Services. All information regarding tutoring can be found here: http://www.binghamton.edu/clt/tutoring-services/index.html
If you have test anxiety information about how to handle anxiety can be found here:https://www.binghamton.edu/hpps/mental-health/anxiety.html
If you need accommodations for a disability, please see your instructor with documentation from Services for Students with Disabilities. We will do our best to accommodate your needs.
Cheating is considered a very serious offense. According to the University Catalog, cheating consists of: “Giving or receiving unauthorized help before, during or after an examination”. The full strength of Binghamton Academic Honesty Policy will be applied to anyone caught cheating. This may include failing the course, and further disciplinary action.
Math 323 is a 4-credit course, which means that students are expected to do no less than 12.5 hours of course-related work or activity each week during the semester. The best way to succeed is to be faithful to this minimum time. This 12.5 hours includes scheduled class lecture/discussion meeting times as well as time spent completing assigned readings, studying for tests and examinations, going to the Math Help Room, doing practice problems, and other course-related tasks.