Dr. Tsorng-Whay Pan's Math 2415

Math 2415 : Calculus III (Summer 2, 2025)
Session number: 13460

Instructor: Dr. Tsorng-Whay Pan

Office: 683 PGH
Phone: (713) 743-3448
Office hours: MoTuWeThFr: 2-2:30
e-mail: pan@math.uh.edu

Prerequisite: Math 2414 Calculus II (Student who does not have the prerequisite should drop this course).
Time: 12 PM - 2 PM MoTuWeThFr.
Room: SEC 201
Textbook: You must buy an access code in order to view the textbook, exercises, and etc. at the web page: CASA Campus Services
Slides: The slides of each Chapter will be posted on SharePoint.
Course Homepage: http://www.math.uh.edu/~pan/Math2415-2025-Summer.html
Technology Requirements and Tools:
- Computer and internet access are required.
- Go to Canvas to get the slides.
- You need to go to CASA Campus Services to get textbook, exercises, and etc, and to take EMCF quizzes.
Grading policy
- Exams: There will be in-class lab quizzes, three mid-exams, and one comprehensive final exam. There will be no online exams.
  Calculators are not allowed while taking all exams.
- Homework assignments: After each section is covered in the lecture, you need to work wout THE PROBLEMS POSTED AT THE BOTTOM of this page.
  Homework assignments (posted below) may not be collected. But in-class lab quiz problems will be chosen from HW assignments.
- Quizzes: In-class lab quizzes will be given at the recitation laboratory hours.
  EMCF quizzes might be given via the CASA Campus Services .
- ATTENDANCE: Roll will be taken at random times via giving in-class quizzes at lecture hours.
- Exam Dates (All exams will be given at SEC 102):
  - Exam I: 12:30PM-1:45 PM, Thursday, June 12, 2025.
  - Exam II: 12:30PM-1:45 PM, Friday, June 20, 2025.
  - Exam III: 12:30PM-1:45 PM, Monday, June 30, 2025.
  - Final Exam: 12 PM - 1:45 PM, July 2 or 3, 2025. (Do not leave town before the final exam date.)
- The total of lab quizzes and HW assignments is worth 100 points. Each mid-exam is worth 100 points. Comprehensive
  final exam is worth 200 points. Some of the LOWEST SCORES OF QUIZZES will be DROPPED.
Important Notes and Connections
- Do not miss too many quizzes. Lower total score of quizzes hurts your course grade.
- You are allowed to miss only one mid-exam due to the fact that one of the lowest mid-exam scores can be
  replaced by the half of the Final Exam score.
- Math Help: you also can get help at the CASA tutoring center .
- Syllabus Changes:
  Please note that the instructor may need to make modifications to the course syllabus.
  Notice of such changes will be announced as quickly as possible through your email account at CougarNet.UH.EDU.
- UH Email: Please check and use your Cougarnet email for communications related to this course.
  Faculty use the Cougarnet email to respond to course-related inquiries such as grade queries or progress
  reports for reasons of FERPA. To access this email, login to your Microsoft 365 account with your Cougarnet credentials.
  Visit University Information Technology (UIT) for instructions on how to connect your Cougarnet e-mail on a mobile device
- Mental Health and Wellness Resources
  The University of Houston has a number of resources to support students’ mental health and overall wellness, including CoogsCARE
  and the UH Go App. UH Counseling and Psychological Services (CAPS) offers 24/7 mental health support for all students,
  addressing various concerns like stress, college adjustment and sadness. CAPS provides individual and couples counseling, group therapy,
  workshops and connections to other support services on and off-campus. For assistance visit uh.edu/caps, call 713-743-5454,
  or visit a Let’s Talk location in-person or virtually. Let’s Talk are daily, informal confidential consultations with CAPS therapists
  where no appointment or paperwork is needed.
  
  The Student Health Center offers a Psychiatry Clinic for enrolled UH students. Call 713-743-5149 during clinic hours, Monday
  through Friday 8 a.m. - 4:30 p.m. to schedule an appointment.
  
  The A.D. Bruce Religion Center offers spiritual support and a variety of programs centered on well-being.
  
  Need Support Now?If you or someone you know is struggling or in crisis, help is available. Call CAPS crisis support 24/7 at 713-743-5454,
  or the National Suicide and Crisis Lifeline: call or text 988, or chat 988lifeline.org.
- Academic Honesty Policy
  High ethical standards are critical to the integrity of any institution, and bear directly on the ultimate value of conferred degrees.
  All UH community members are expected to contribute to an atmosphere of the highest possible ethical standards. Maintaining such an
  atmosphere requires that any instances of academic dishonesty be recognized and addressed. The UH Academic Honesty Policy is designed to
  handle those instances with fairness to all parties involved: the students, the instructors, and the University itself. All students and
  faculty of the University of Houston are responsible for being familiar with this policy.
- Title IX/Sexual Misconduct
  Per the UHS Sexual Misconduct Policy, your instructor is a “responsible employee” for reporting purposes under Title IX regulations
  and state law and must report incidents of sexual misconduct (sexual harassment, non-consensual sexual contact, sexual assault,
  sexual exploitation, sexual intimidation, intimate partner violence, or stalking) about which they become aware to the Title IX office.
  Please know there are places on campus where you can make a report in confidence. You can find more information about resources on the
  Title IX website at https://uh.edu/equal-opportunity/title-ix-sexual-misconduct/resources/.
- Reasonable Academic Adjustments/Auxiliary Aids:
  The University of Houston is committed to providing an academic environment and educational programs that are accessible for its students.
  Any student with a disability who is experiencing barriers to learning, assessment or participation is encouraged to contact the Justin Dart, Jr.
  Student Accessibility Center (Dart Center) to learn more about academic accommodations and support that may be available to them. Students
  seeking academic accommodations will need to register with the Dart Center as soon as possible to ensure timely implementation of approved
  accommodations. Please contact the Dart Center by visiting the website https://uh.edu/accessibility/ , calling (713) 743-5400,
  or emailing jdcenter@Central.UH.EDU.
- Excused Absence Policy:
  Regular class attendance, participation, and engagement in coursework are important contributors to student success. Absences
  may be excused as provided in the University of Houston Undergraduate Excused Absence Policy for reasons including: medical
  illness of student or close relative, death of a close family member, legal or government proceeding that a student is obligated
  to attend, recognized professional and educational activities where the student is presenting, and University-sponsored activity
  or athletic competition. Under these policies, students with excused absences will be provided with an opportunity to make up any quiz,
  exam or other work that contributes to the course grade or a satisfactory alternative. Please read the full policy for details regarding
  reasons for excused absences, the approval process, and extended absences. Additional policies address absences related to
  military service, religious holy days, pregnancy and related conditions, and disability.
- Recording of Class:
  Students may not record all or part of class, livestream all or part of class, or make/distribute screen captures, without advanced
  written consent of the instructor. If you have or think you may have a disability such that you need to record class-related activities,
  please contact the Justin Dart, Jr. Student Accessibility Center. If you have an accommodation to record class-related activities,
  those recordings may not be shared with any other student, whether in this course or not, or with any other person or on any other
  platform. Classes may be recorded by the instructor. Students may use instructor’s recordings for their own studying and notetaking.
  Instructor’s recordings are not authorized to be shared with anyone without the prior written approval of the instructor. Failure
  to comply with requirements regarding recordings will result in a disciplinary referral to the Dean of Students Office and may result
  in disciplinary action.
- Resources for Online Learning
  The University of Houston is committed to student success, and provides information to optimize the online learning experience through
  our Power-On website. Please visit this website for a comprehensive set of resources, tools, and tips including: obtaining access to the
  internet, AccessUH, Blackboard, and Canvas; using your smartphone as a webcam; and
  downloading Microsoft Office 365 at no cost. For questions or assistance contact UHOnline@uh.edu.
- Security Escorts and Cougar Ride
  UHPD continually works with the University community to make the campus a safe place to learn, work, and live. Our Security escort
  service is designed for the community members who have safety concerns and would like to have a Security Officer walk with them,
  for their safety, as they make their way across campus. Based on availability either a UHPD Security Officer or Police Officer will
  escort students, faculty, and staff to locations beginning and ending on campus. If you feel that you need a Security Officer to walk
  with you for your safety please call 713-743-3333. Arrangements may be made for special needs. Parking and Transportation Services also offers a late-night, on-demand shuttle service called Cougar Ride that provides rides to
  and from all on-campus shuttle stops, as well as the MD Anderson Library, Cougar Village/Moody Towers and the UH Technology Bridge.
  Rides can be requested through the UH Go app. Days and hours of operation can be found at https://uh.edu/af-university-services/parking/cougar-ride/.
  
  Connect to Online Mathematics Help provided by the Department of Mathematics:
  
  Schedule and Homework Assignments
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          **Lecture slides will be available on Canvas website.
          **Lab quiz will be given almost every day.  
          **The following course schedule is subject to change.

          Review Quiz (due on June 4 at your lab).

Week 1: Don't use calculators when working on the following problems since you are not allowed to use them to take exams. 

 June 02: 11.1: Cartesian space coordinates: 2,3,4,5,6,7,10,11,12,13,16,17,18,20,21,25,27,29,30.
          11.2: Vectors: 1,3,5,6,7,8,9,11,12,13,14,15,16,19,20,21,22,23,24.

 June 03: 11.2 (continued)
          11.3: The dot product: 2,3,4,5,7,8,9,11,12,13,14,15,23,24,25,30.
          11.4: The cross Product: 3,5,6,7,9,10,11,13,15,18,20,22,28. 

 June 04: Quiz 1 (11.1 & 11.2)
          11.4 (continued)
          11.5: Lines: 1,2,3,4,6,9,13,15,21,25. 

         Review I for Exam I is available on Canvas.           
         Solutions of Review I will be available at the "Canvas" under the lecture session after 8 AM on June 8, 2025.
 
        (i). a unit circle, 
        (ii). a line segment, 
        (iii). a circular helix.
        
 June 05: Quiz 2 (11.3 & 11.4)
          11.6: Planes: 1,3,6,7,8,11,12,17,22,26.
          12.1: Vector functions: 1,4,6,7,13,15,16,18,22,23,24,26.
          12.2: Differentiation formulas: 1,2,4,9,14,15.
          
 June 06: Quiz 3 (11.5)
          12.3: Curves: 1,3,4,5,6,7,13,18,21,22. 
          12.4: Arc length: 1,2,3,4,9.

Week 2: Don't use calculators when working on the following problems since you are not allowed to use them to take exams.  
  
  Matlab codes: (1) An upper circular cone and its level curves, 
                (2) A circular paraboloid and its level curves.
                (3) A saddle surface  and its level curves.
                (4) A smooth surface and its level curves.
                (5) A surface has a discontinuity at the point (0,0) and its level curves.
                (6) Another surface has a discontinuity at the point (0,0) and its level curves..   
                
 June 9: Quiz 4 (11.6, 12.1)
          12.5: Curvilinear motion & curvature: 15,19,23,24 (find curvature only for all problems).
          13.1: Basic terms and examples of functions of several variables: 1,2,3,4,6,13,14,15 (find domain only for all problems).
          13.2: Graphs; level curves and level surfaces: 
                Identify the level curves of problems 2,4,6 and 9.
                Identify the level surface of problems 10 and 11.
                

 June 10: Quiz 5 (12.2,12.3)  
          13.3: Limits and continuity: 1,2,3,10,11,13,14,16,18,19a,19b,19c,20a,20b,20c,21,23,24,26.
          13.4: Partial derivatives: 1,2,3,4,5,6,7,12,16,20,23,30,31.
          
 Jube 11: Quiz 6 (12.4,12.5)
          14.1: Differentiability & Gradient: 1,4,6,9,10,14,16,23(a) 23(b).
          14.2: Gradients & directional derivatives: 1,2,6,9,11,16,17,18.

          Problem Discussion.


 June 12: 12PM-12:30PM: Discussion.
          12:30PM to 1:45 PM:  Exam I. 
          Exam I covers Ch. 11 and Ch. 12: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 12.1, 12.2, 12.3, 12.4, 12.5(curvature only).
          
          The solution set of Exam I problems will be posted on the Canvas web page.  
 
 June 13: Quiz 7 (13.1,13.2,13.3)  
          14.2: Gradients & directional derivatives (continued).
          14.3: The mean-value theorem & chain rules: 3,6,7,8,9,11,15,18,20.
 
        Review for Exam II is available on Canvas.
        Solutions of Review II will be available at the "Canvas" under the lecture session after 8 AM on June 15, 2025.

Week 3: Don't use calculators when working on the following problems since you are not allowed to use them to take exams.  

 June 16: Quiz 8 (13.4,14.1)
          14.4: The gradient as a normal & tangent lines and tangent planes: 1,4,7,8,10,11.
          14.5: Local extreme values: 3,4,5,6,9,15,18.
          
 June 17: Quiz 9 (14.2,14.3)
          14.6: Absolute extreme values: 1,2,3,7,10,12,13. 
          14.7: Lagrange multipliers & Maxima and minima with side conditions: 2,3,6,7.
    
         (14.9 will be covered after Ch. 15 is discussed.)

 June 18: Quiz 10 (14.4,14.5,14.6)
          15.1: Double Integrals: none 
          15.2: The evaluation of double integrals by repeated integrals: 1,2,3,4,5,6,7,8,9,11,12,16,18,19,22. 
          Problem discussion.  
          
 June 19: Emancipation Day (Holiday)

 June 20: 12PM-12:30PM: Discussion.
          12:30PM to 1:45PM:  Exam II. 
          Exam II covers Ch. 13 and Ch. 14: 13.1-13.4, 14.1-14.7.

Week 4:  Don't use calculators when working on the following problems since you are not allowed to use them to take exams.  

 June 23: 
          15.2: (continued) 
          15.3: Evaluating double integrals using polar coordinates: 2,3,4,5,7,8,9,12,18,19,20.
 
         Review for Exam III is available on Canvas.
         Solutions of Review III will be available at the "Canvas" under the lecture session after 8 AM on June 24, 2025.
        
 June 24: Quiz 11 (15.2)
          15.5: Triple integrals: none.
          15.6: Reduction of triple integrals to repeated integrals: 1,2,3,4,6,7,11,12,13,14,15,20,23.
          15.7: Cylindrical coordinates: 1,3,5,6,7,14,15. 
 June 25: Quiz 12 (15.3) 
          15.8: Spherical Coordinates: 7, 8, 10, 12. 
          16.1: Line integrals: 1,2,3,4,5,6,7,8,9,10,11. 
          14.9: Reconstructing a function from its gradient: 1,2,3,4,5,6,7,8,9,10,17.

 June 26: Quiz 13 (15.6)
          16.2: The fundamental theorem of line integrals; independence of path: 1,2,3,4,5,6,7.      
          16.3: Green's theorem: 1,2,4,5,6,7,8,10,12,13,14,15.
          
 June 27: Quiz 14 (15.7, 16.1)
          16.4: Parametrized surfaces; surface area:2,3,7,13.
          16.5: Surface integrals:4,5,9,12.
          16.6-16.8:  The divergence theorem & Stokes’ theorem (brief discussion)
`
          Problem discussion.

Week 5:

 June 30: 12PM-12:30PM: Discussion.
         12:30PM to 1:45PM:  Exam III. 
         Exam III covers sections 14.9, 15.1-3, 15.5-7, 16.1-3.
         
 July 1: make-up date/Office hours
         
 July 2 or 3: Final exam, 12 pm - 1:45 pm (Do not leave town before the Final Exam date.)
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University of Houston

Department of Mathematics

Grading policy

Important Notes and Connections

Schedule and Homework Assignments