Math 323 - Calculus III, Fall 2026 [Department of Mathematics and Statistics, Binghamton University]

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===== Math 323 - Calculus III, Fall 2026 ======



====Sections====
^ Section ^ Instructor              ^ Meets ^ Room ^
| 01 | [[ https://www2.math.binghamton.edu/p/people/rmccull1/start|Ryan McCulloch  ]]| MWF 8:00-9:30 | TBA |
| 02 | [[ https://www2.math.binghamton.edu/p/people/gzhou/start|Gang Zhou  ]]| MWF 9:45-11:15 |  |
| 03 | [[ https://www2.math.binghamton.edu/p/people/eadara//start|Emmanuel Adara ]]| MWF 11:45-1:15 |  |
| 04 | [[ https://www2.math.binghamton.edu/p/people/gzhou/start|Gang Zhou ]] | MWF 11:45-1:15 |  |
| 05 | [[ https://www2.math.binghamton.edu/p/people/xxu/start|Xiangjin Xu ]]| MWF 1:30-3:00 |  |
| 06 | [[ https://www2.math.binghamton.edu/p/people/mfochler/start|Michael Fochler ]]| MWF 3:15-4:45 |  |
| 07 | [[ https://www2.math.binghamton.edu/p/people/abraham/start|Abraham Berman ]] | MWF 3:15-4:45 |  |
| 08 | [[ https://www2.math.binghamton.edu/p/people/abraham/start|Abraham Berman ]]| MWF 5:00-6:30 |  |

Course Coordinator: 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:
   * Exam 1, 25% 
   * Exam 2, 25%  
   * Final Exam, 30% (see the [[http://bannertools.binghamton.edu/exams/ | schedule]])
   * Section Grade, 20% (Breakdown at the discretion of the professor, e.g. HW-10%, Quizzes-10% or HW-1%, Attendance-4% Quizzes-15%)

The grading scale for MATH 323 Spring 2026 is: A>=90%, B>=75%, C>=60%, D>=50%, F<50%. Individual instructors will set the cutoffs for A-, B+, etc...
  

====Tentative Schedule====
^ Week ^ Dates ^ Sections ^ Topics ^
| 1 | Jan 21 - 23 | 12.1 | 3-D Coordinates |
| ::: | ::: | 12.2   | Vectors (Skip Physics Problems/Applications)|
| 2 | Jan 26 - 30 | 12.3 | Dot Products (Skip Direction Angles) |
| ::: | ::: |12.4 | Cross Products (Skip Torque & Triple Product) |
| ::: | ::: | 12.5 | Lines and Planes (Skip Distances) |
| 3 | Feb 2 - 6 **(Add/Drop Deadline is February 2nd)** | 12.6 | Quadric Surfaces |
| ::: | ::: | 13.1 | Vector Valued Functions |
| ::: | ::: | 13.2 | Derivatives of Vector Valued Functions |
| 4 | Feb 9 - 13 | 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 16 - 20 | **Exam 1** | Chapters 12 and 13 |
| ::: | ::: | 14.1 | Functions of Several Variables |
| ::: | ::: | 14.2 | Limits and Continuity |
| 6 | Feb 23 - 27 | 14.3 | Partial Derivatives |
| ::: | :::  | 14.4 | Tangent Planes and Linear Approximation  |
| ::: | ::: |Rejuvenation Day, No Classes |
| 7 | Mar 2 - 6 | 14.5 | The Chain Rule |
| ::: | ::: |14.6 | Directional Derivatives and the Gradient |
| ::: | ::: | 14.7 | Maxima and Minima |
| 8 | Mar 9 - 13| 14.8 |Lagrange Multipliers |
| ::: | ::: | 15.1 | Double Integrals over Rectangles |
| ::: | ::: | 15.2 | Double Integrals over General Regions|
| 9 | Mar 16 - 20 | 15.3 | Double Integrals in Polar Coordinates|
| ::: | ::: | Review | Exam 2 Review: Sections 14.1-15.3  |
| ::: | ::: | **Exam 2**  | Sections 14.1-15.3  |
| 10 | Mar 23 - 27 (**Withdrawal Deadline is March 24th**)| 15.6 | Triple Integrals  |
| ::: | ::: | 15.7 |Triple Integrals in Cylindrical Coordinates|
| ::: | ::: | 15.8 | Triple Integrals in Spherical Coordinates |
| 11 | Mar 30 - Apr 3 | Spring Break, No Classes |   |
| 12 | Apr 7 - 10 (**Monday Classes Meet on Tuesday April 7**) | 16.1 | Vector Fields|
| ::: | ::: | 16.2 | Line Integrals |
| ::: | ::: | 16.3 | The Fundamental Theorem of Line Integrals (FTL)|
| 13 | Apr 13 - 17| 16.4 | Green's Theorem   |
| ::: | ::: | 16.2-16.4 Problems | More Line Integrals, FTL, Green's Theorem  |
| ::: | ::: | 16.5 | Curl and Divergence |
| 14 | Apr 20 - 24 | 16.6 | Parametric Surfaces |
| ::: | ::: | 16.7 | Surface Integrals |
| ::: | ::: | 16.7 | Surface Integrals |
| 15 | Apr 27 - May 1 | 16.8 | Stokes' Theorem |
| ::: | ::: | 16.8 | Stokes' Theorem |
| ::: | ::: | 16.9 | Divergence Theorem  |
| 16 | May 4 - 6| 16.7-16.9 Problems | More Surface Integrals, Stokes' Theorem, Divergence Theorem |
| ::: | ::: | Review    | The test is cumulative with about 80% of the exam covering sects 15.6-16.9|
| 17 | May 8 - 14 |**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, you might find Success Coaching a useful service: https://www.binghamton.edu/offices/success/success-coaching/index.html

Khan Academy YouTube series: https://www.youtube.com/playlist?list=PLSQl0a2vh4HC5feHa6Rc5c0wbRTx56nF7

Paul's Online Notes has some excellent practice problems for Multivariable Calculus [Calculus III] along with detailed solutions: https://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx







====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.



/*
<html> 

<h2>
<center>Tentative syllabus, Math 323 Calculus III, Spring 2022  </center>
</h2>

<a href="https://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/math_323/math323_sample_finals_spring_2022.pdf">PRACTICE PROBLEMS FOR SPRING 2022 FINAL EXAM</a> 

<p>
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.
<p>

<div>
<h3>Table of contents</h3>
<ul class="toc">
  <li><div class="li"><a href="#sections">Sections</a></div></li>
  <li><div class="li"><a href="#textbook">Textbook</a></div></li>
  <li><div class="li"><a href="#prerequisites">Prerequisites</a></div></li>
  <li><div class="li"><a href="#objectives">Course objectives</a></div></li>
  <li><div class="li"><a href="#homework">Homework</a></div></li>
  <li><div class="li"><a href="#schedule">Tentative schedule</a></div></li>
  <li><div class="li"><a href="#evaluation">Evaluation</a></div></li>
  <li><div class="li"><a href="#help">Help and disability services</a></div></li>
  <li><div class="li"><a href="#honesty">Academic honesty</a></div></li>
  <li><div class="li"><a href="#hours">Hours spent on 323</a></div></li>
</ul> 
</div>

<h3 id="sections">Sections</h3>
<p>
  01 	11081 	 	Nicholas Lacasse 	MWF 	8:00-9:30 	LH 4 	<br>
	02 	11082 	 	Wei Yang 	 	MWF 	8:00-9:30 	CW 214 	<br>
	03 	11083 	 	Christopher Eppolito 	 	MWF 	9:40-11:10 	UU 215 <br> 	
	04 	20226 	 	Steven Gindi 	 	MWF 	11:20-12:50 	CW 321 <br>	
	05 	20227 	 	Adam Weisblatt 	 	MWF 	1:10-2:40 	AA G007 <br>	
	06 	20883 	 	Paul Loya 	 	MWF 	1:10-2:40 	FA 212 <br>	
	07 	16955 	 	Ulysses Alvarez 	 	MWF 	2:50-4:20 	LH 005 <br> 	
	08 	25577 		Adam Weisblatt 	 	MWF 	4:40-6:10 	SL 302
</p>

<p>
Coordinator: Paul Loya
</p>

<h3 id="textbook">Textbook</h3>

<p><u>Multivariable Calculus</u> 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. 
</p>

<h3 id="prerequisites">Prerequisites</h3> 
<p>
Math 227 or Math 230
</p>

<h3 id="objectives">Course objectives</h3> 
<p>
Develop theoretical and practical skills for multivariable calculus. Specifically, students are expected to demonstrate the following:
</p>
<ul>
<li><div class="li"> Visualize geometry in three-dimensional space.</div>
</li>
<li><div class="li"> Find and apply vector and scalar equations of lines and planes in three-dimensional space.</div>
</li>
<li><div class="li"> Understand the calculus of vector-valued functions.</div>
</li>
<li><div class="li"> Solve unconstrained and constrained optimization problems.</div>
</li>
<li><div class="li"> Find and interpret partial derivatives, directional derivatives, and gradients.</div>
</li>
<li><div class="li"> Set up and evaluate double and triple integrals in rectangular, cylindrical, and spherical coordinates.</div>
</li>
<li><div class="li"> Set up and evaluate line and surface integrals and applying Green&#039;s, Stokes&#039;, and Divergence theorems.</div>
</li>
</ul>

<h3 id="homework">Homework</h3>  

<p>
  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. 
  </p>
  
  <p>
  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 <a href="http://binghamton.bncollege.com/webapp/wcs/stores/servlet/BNCBHomePage?storeId=19073&amp;catalogId=10001&amp;langId=-1" class="urlextern" title="http://binghamton.bncollege.com/webapp/wcs/stores/servlet/BNCBHomePage?storeId=19073&amp;catalogId=10001&amp;langId=-1">Binghamton University Bookstore</a> 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&#039;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 <a href="https://embed.widencdn.net/pdf/plus/cengage/5u3xt0ynyu/gui_webassign-stu-quick-guide.pdf?u=c8lcjz" class="urlextern" title="https://embed.widencdn.net/pdf/plus/cengage/5u3xt0ynyu/gui_webassign-stu-quick-guide.pdf?u=c8lcjz">WebAssign Student Quick Start Guide</a>
  </p>
  
  <p>
  Your username is your Binghamton University username and the institution code is “binghamton”.
  </p>
  
  <p>
  <a href="https://www.webassign.net/" class="urlextern" title="https://www.webassign.net/">WebAssign Login Page</a>
  </p>


<h3 id="schedule">Tentative schedule</h3>

At a bare minimum, you should know how to do all the odd numbered problems from those listed. We will skip most problems that rely heavily on technology or physics.  If you have the 8th edition of the book, the problem numbers below will be slightly off. However, if you remember to skip problems that rely heavily on technology or physics, then you can figure out which problem numbers don't apply to the 8th edition. <br> <br>

<table border="3" align="center" bgcolor="#f7f7f7" cellpadding="2">
<caption> <b>Tentative schedule and practice problems</b></caption>

    <tr>
    <th bgcolor="lightskyblue">Week of</th>
    <th bgcolor="lightskyblue">Problems for 9th edition</th>
    <th bgcolor="lightskyblue">Comments</th>
    </tr>

<tr><td>  1/24 </td><td>
12.1: 1-22, 25-46.<br>
12.2: 1-29, 41-48.<br>
</td><td>
12.2: Skip physics problems.
</td></tr>

<tr><td>  1/31 </td><td>
12.3: 1-47.<br>
12.4: 1-38, 42-44.<br>
12.5: 1-68, 71-74.<br>
</td><td>
12.3: Skip work problems.<br>
12.4: Skip torque.
Please read 12.6 on your own.
</td></tr>

<tr><td>  2/7 </td><td>
13.1: 1-40, 49-54.<br>
13.2: 1-30, 37-44, 49-52.<br>
13.3: 1-8, 13, 15-18.<br>
13.4: 3-16.<br>
</td><td>
Add and Drop/Delete Deadline: Feb 7. <br>
13.3: Arclength only (no curvature or TNB material).<br>
13.4: Focus on defs. of vel, speed, acceleration.<br>
</td></tr>


<tr><td>  2/14 </td><td>
14.1: 1-16, 20-36, 38-56, 61-72.<br>
14.2: 5-34, 37,38, 41-53.<br>
14.3: 2-64, 67-69, 74, 77-85.<br>
</td><td>
</td></tr>


<tr><td>  2/21 </td><td>
Mon: Catch up day! <br>
14.4: 1-10, 15-25, 27, 31-45.<br> 
14.5: 1-30, 39-40, 42-47, 49-55.<br>
</td><td>
</td></tr>


<tr><td>  2/28 </td><td>
Mon: Review for Friday's test.<br>
<b>Wed: In-class Test 1 on Ch. 12-13.</b><br> 
14.6: 1-32, 34-35, 37-42, 44, 47-69, 71-72.<br>
</td><td>
Test 1 on Secs 12.1-13.4. Nothing from Ch. 14.
</td></tr>

<tr><td>  3/7 </td><td>
14.7: 1-24, 33-40, 43-57.<br>
14.7: Continued. <br>
14.8: 1, 3-29, 39, 41-55. <br>
</td><td>
For 14.8, do only 1 constraint problems.<br> 
</td></tr>


<tr><td>  3/14 </td><td>
Spring break. <br>
</td><td>
</td></tr>


<tr><td>  3/21 </td><td>
14.8: Continued. <br>  
14.8: Continued. <br>
Fri: Review for midterm.<br>
</td><td> 
</td></tr>

<tr><td>  3/28 </td><td>
<b>Mon. 3/28: Midterm/Test 2 on 14.1-14.8 (not 15).</b><br>
15.1: 9-49, 53-56. <br>
15.2: 1-40, 43-50, 55-66, 71-72.<br>
</td><td>
Monday: In-class Midterm on Ch. 14.<br>
</td></tr>

<tr><td>  4/4 </td><td>
15.3: 1-42.<br>
15.6: 1-26, 31-42.<br>
15.7: 1-13, 15-27, 31-32.<br>  
</td><td>
We skip 15.4 since this is covered in physics.<br>
We skip 15.5 since this is covered in 16.6.
</td></tr>


<tr><td>  4/11 </td><td>
15.8: 1-32, 37-45.<br>
16.2:  1-24.<br>
</td><td>
Please read 16.1 on your own!<br>
No class Friday April 15.
</td></tr>


<tr><td>  4/18 </td><td>
Tuesday: Review for Test 3.<br>
16.3:  1-26, 31-32, 34-41.<br>
16.4:  1-18, 23, 31-33.<br>  
</td><td>
Monday classes meet Tuesday!<br>
</td></tr>


<tr><td>  4/25 </td><td>
<b>Mon:  Test 3 on 15.1-15.3 and 15.6-15.9.</b> <br>
16.5:  1-24, 32-34.<br> 
16.6:  1-6, 13-26, 33-36, 39-51.<br>
</td><td>
Mon: In-class Test 3 on Ch. 15.<br>
</td></tr>


<tr><td>  5/2 </td><td>
16.7:  5-32.<br>  
16.8:  1-14, 17-20, 22-23.<br>
16.9:  1-17, 19-22, 26-32.<br>
</td><td>
</td></tr>


<tr><td>  5/9 </td><td>
Mon: Catch up and review<br>
Green/Stokes/Divergence theorems.<br>
Wed: Review for final. <br>
</td><td>
</td></tr>


<tr><td>  <b>Exams</b> </td><td>
  <b>Test 1:</b> Friday 2/25. (in-class) <br>
  <b>Test 2:</b> Mon. 3/28. (in-class)<br>
  <b>Test 3:</b> Mon. 4/25. (in-class)<br>
  <b>Final:</b> Fri. 5/13, 8-10AM, GW 69EX.
  </td><td>
    <b>No calculators are allowed during exams.</b> <br>
    <b>No cheat/crib sheets are allowed during exams.</b>
  </td></tr>

</table>

<h3 id="evaluation">Evaluation</h3>

<p> Grades are determined by the 4 exams. <br>
</p> 

<table border="3" align="center" bgcolor="#f7f7f7" cellpadding="2"> 
    <tr>
      <td valign="top">Test 1: Fri. 2/25<br>
      </td>
      <td valign="top">15% <br>
      </td>
    </tr>

    <tr>
      <td valign="top">Test 2: Wed. 3/28<br>
      </td>
      <td valign="top">30% <br>
      </td>
    </tr>

    <tr>
      <td valign="top">Test 3: Mon. 4/25<br>
      </td>
      <td valign="top">15% <br>
      </td>
    </tr>

    <tr>
      <td valign="top"> Final: Fri. 5/13, 8-10AM,	GW 69EX. <br>
      </td>
      <td valign="top">40%<br>
      </td>
    </tr> 
</table> 

<p>The following grading scale is only an approximation (+ and - grades will also be assigned). <br>
</p>

<table border="3" align="center" bgcolor="#f7f7f7" cellpadding="2">
    <tr>
      <td valign="top">A<br>
      </td>
      <td valign="top">90 - 100<br>
      </td>
    </tr>
    <tr>
      <td valign="top">B<br>
      </td>
      <td valign="top">80 - 89<br>
      </td>
    </tr>
    <tr>
      <td valign="top">C<br>
      </td>
      <td valign="top">70 - 79<br>
      </td>
    </tr>
    <tr>
      <td valign="top">D<br>
      </td>
      <td valign="top">60 - 69<br>
      </td>
    </tr>
    <tr>
      <td valign="top">F</td>
      <td valign="top">0 - 59</td>
    </tr> 
</table>

<h3 id="help">Help and disability services</h3> 

<p>
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. 
</p>

<p>
<strong><a href="https://www2.math.binghamton.edu/p/helprooms" class="urlextern" title="https://www2.math.binghamton.edu/p/helprooms">Click here for the Math Help Room schedule.</a></strong>
</p>

<p>
There is free tutoring offered though University Tutoring Services. All information regarding tutoring can be found here: <a href="http://www.binghamton.edu/clt/tutoring-services/index.html" class="urlextern" title="http://www.binghamton.edu/clt/tutoring-services/index.html">http://www.binghamton.edu/clt/tutoring-services/index.html</a>
</p>

<p>
If you have test anxiety information about how to handle anxiety can be found here:<a href="https://www.binghamton.edu/hpps/mental-health/anxiety.html" class="urlextern" title="https://www.binghamton.edu/hpps/mental-health/anxiety.html">https://www.binghamton.edu/hpps/mental-health/anxiety.html</a>
</p>

<p>
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.
</p>
 

<h3 id="academic_honesty">Academic Honesty</h3> 

<p>
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.
</p>

<h3 id="hours">Hours spent on 323</h3> 

<p> 
Math 323 is a 4-credit course, which means that students are expected to do no less than <em class="u">12.5 hours of course-related work or activity each week</em> 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.
</p>

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/*

===== Math 323 Calculus III, Fall 2021 ======

====Sections====
^ Section Number ^ Instructor              ^ Meeting times ^
| 01 | [[  https://www2.math.binghamton.edu/p/people/grads/eppolito/start | Christopher Eppolito ]] | MWF 8:00-9:30, UU 206 |
| 02 | [[ https://www2.math.binghamton.edu/p/people/grads/appolito/start | Christopher Eppolito ]] | MWF 9:40-11:10, UU 108 |
| 03 | [[ https://www2.math.binghamton.edu/p/people/grads/pbarber/start | Paul Barber ]] | MWF 11:20-12:50, S2 G52|
| 05 | [[ https://www2.math.binghamton.edu/p/people/grads/kilcoyne/start | Thomas Kilcoyne ]] | MWF 2:50-4:20, LH 004 |
| 06 | [[ http://www2.math.binghamton.edu/p/people/grads/kilcoyne/start | Thomas Kilcoyne ]] | MWF 4:40-6:10, CW 321 |
| 07 | [[ https://www2.math.binghamton.edu/p/people/kaz/start | Bill Kazmierczak ]] | MWF 4:40-6:10, CW 323 |


Course coordinator: Dr. Bill Kazmierczak, Director of calculus

====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 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 [[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 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 [[https://embed.widencdn.net/pdf/plus/cengage/5u3xt0ynyu/gui_webassign-stu-quick-guide.pdf?u=c8lcjz|WebAssign Student Quick Start Guide]]

Your username is your Binghamton University username and the institution code is "binghamton".

[[https://www.webassign.net/|WebAssign Login Page]]

====Prerequisite====
Math 222, 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, 18% 
   * Test 2, 18%  
   * Test 3, 18%
   * Final Exam, 25% (see the [[http://bannertools.binghamton.edu/exams/ | schedule]])
   * HW, 6%
   * Quizzes, 15%  

====Tentative Schedule====
Still in Progress
^ Week ^ Dates ^ Sections ^ Topics ^
| 1 | Aug 20-22 | 12.1 | 3-D Coordinates |
| ::: | ::: | 12.2   | Vectors |
| 2 | Aug 25-29 | 12.3 | Dot Products |
| ::: | ::: |12.4 | Cross Products  |
| ::: | ::: | 12.5 | Lines and Planes |
| 3 | Sep 6-10 | **No Class** | Labor day |
| ::: | ::: | **No Class** | Rosh Hashanah |
| ::: | ::: | 12.6 | Quadric Surfaces |
| 4 | Sep 13-17 | 13.1 | Vector Valued Functions |
| ::: | ::: | 13.2 | Derivatives of Vector Valued Functions |
| ::: | ::: | 13.3 | Arc Length  |
| 5 | Sep 20-24 | 13.4 | Motion in Space |
| ::: | ::: | Review | Exam 1 Review: Chapters 12 and 13 |
| ::: | ::: | **Exam 1** | Chapters 12 and 13 |
| 6 | Sep 27-Oct 1 | 14.1 | Functions of Several Variables |
| ::: | ::: | 14.2 | Limits and Continuity |
| ::: | ::: | 14.3 | Partial Derivatives |
| 7 | Oct 4-8 | 14.4 | Tangent Planes and Linear Approximation |
| ::: | ::: | 14.5 | The Chain Rule |
| ::: | ::: | 14.6 | Directional Derivatives and the Gradient |
| 8 | Oct 11-15 | 14.7 | Maxima and Minima  |
| ::: | ::: | 14.8 | Lagrange Multipliers |
| ::: | ::: | **No Class** | Fall Break |
| 9 | Oct 18-22 | 15.1 | Double Integrals over Rectangles |
| ::: | ::: | 15.2 | Double Integrals over General Regions |
| ::: | ::: | 15.3 | Double Integrals in Polar Coordinates | 
| 10 | Oct 25-29 | Review | Exam 2 Review: Sections 14.1-15.3 |
| ::: | ::: | **Exam 2** | 14.1-15.3 |
| ::: | ::: | 15.6 | Triple Integrals | 
| 11 | Nov 1-5 | 15.7 | Triple Integrals in Cylindrical Coordinates |
| ::: | ::: | 15.8 | Triple Integrals in Spherical Coordinates |
| ::: | ::: | 16.1 | Vector Fields |
| 12 | Nov 8-12 | 16.2 | Line Integrals |
| ::: | **Withdraw Deadline is Nov 10** | 16.3 | The Fundamental Theorem of Line Integrals |
| ::: | ::: | 16.4 | Green's Theorem |
| 13 | Nov 15-19 | 16.5 | Curl and Divergence |
| ::: | ::: | Review | Exam 3 review: Sections 15.3-16.5 |
| ::: | ::: | **Exam 3** | Sections 15.3-16.5 |
| 14 | Nov 22-26 | 16.6 | Parametric Surfaces |
| ::: | ::: | **No Class** | Thanksgiving Break |
| ::: | ::: | **No Class** | Thanksgiving Break |
| 15 | Nov 29-Dec 3 | 16.7 | Surface Integrals |
| ::: | ::: | 16.7 | Surface Integrals |
| ::: | ::: | 16.8 | Stokes' Thm |
| 16 | Dec 6-10 | 16.8 | Stokes' Thm |
| ::: | ::: | 16.9 | Divergence Thm |
| ::: | ::: | Review | Final Exam Review: The test is cumulative. |
| 17 | Dec 13-17 |**Final Exam**, Tuesday Dec 14, 12:50-2:50, in West Gym | 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 | Exam 3 Practice Exams  }}

{{:calculus/math_323:math323_sample_final_exams_1-5_fall_2021.pdf | Final Exam Practice Exams (1-5)  }}



{{:calculus/math_323:sample-spring-2021.pdf | Exam sample problems  }}

====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 to to 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. */

/* The shift to remote and hybrid teaching due to the COVID-19 pandemic has required that both instructors and students make changes to their normal working protocols for courses. Students are asked to practice extra care and attention in regard to academic honesty, with the understanding that all cases of plagiarism, cheating, multiple submission, and unauthorized collaboration are subject to penalty. Students may not collaborate on exams or assignments, directly or through virtual consultation, unless the instructor gives specific permission to do so. Posting an exam, assignment, or answers to them on an online forum (before, during, or after the due date), in addition to consulting posted materials, constitutes a violation of the university’s Honesty policy. Likewise, unauthorized use of live assistance websites, including seeking “expert” help for specific questions during an exam, can be construed as a violation of the honesty policy. 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]]. */

/* {{:calculus/math_323:sample-spring-2021.pdf | Exam sample problems  }} */

==== Syllabi from previous semesters ====

----
The syllabus for Math 323 in Spring 2026 is available through this link: 
[[https://www2.math.binghamton.edu/p/calculus/math_323/spring2026|Spring 2026 page]]
----

The syllabus for Math 323 in Fall 2025 is available through this link: 
[[https://www2.math.binghamton.edu/p/calculus/math_323/fall2025|Fall 2025 page]]
----