Math 234: Analysis - Functions of Multiple Variables (2023)

matters: This exam is slightly cumulative with at least 70% of Chapter VII topics in the notes.

analysis: EWednesday, September 5th from 4pm to 6pm at 1351 Chemie. Ivan and Vladimir will review practice problems.

Solutions to the exercises can be found at Learn@UW in ContentBrowser in Exam View in the archivefinalRevSolS18.

You are allowed to bring a 5.5 x 8.5note cardwith test formulas.

names and sections



Work hours:

Gabrielle Meier

720 VanVleck

B 10 - Noon

david wagner

820 VanVleck

wed 10 - noon

polly yu

518 VanVleck

Thursday 4 - 6 p.m.

yun li

816 VanVleck

Monday to Friday 15:30 – 16:30

Dima Kuzmenko

716 VanVleck

MW 11 - Noon

Ivan Ongay-Valverde

718 VanVleck

Thursday 14:30 – 15:30

Jenny Hye-Jin Yeon

822 Van Vleck

Here, Here 2.30pm - 3.30pm


101-13 VanVleck

VHF 14:15 – 15:15

Ewan Dalby

818 VanVleck

See 11am - 1pm

Benjamin Branmann

818 VanVleck

FS 12 – 13h

Kurt Ehlert

818 VanVleck

Sun 11am - 12pm, Thu 12.30pm - 1.30pm

Wladimir Sotirow

722 VanVleck

J 10h – 11h

Sergio Kyriakos

716 VanVleck

Wednesday 9:40 am - 11:40 am.

Frank Rooney byMathematics Tutorial Program

320 furgoneta Vleck

Eva Williams for himEngineering Graduate Learning Center

3thirdPiso Wendt Commons

Dom Seg a Qui 6pm – 9pm

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conference 1

March from 1:00 pm to 2:15 pm

B102 VanVleck

conference 2

Ter Qui 11 a.m. – 12:15 p.m.

B102 VanVleck

Text:Lecture notes by Prof. Angenent, which will be available through the Faculty of Mathematics. I will email you exactly when and where.


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Catalog statement:
This course is the final course in the UW Standard Calculus series, Math221-222-234. This series is designed for students majoring in Science or Engineering. Honors students interested in a theoretical approach should consider our sequence 275-276-375-376 instead of 221-222-234. Full credit is not allowed for 234 or 223.

alternatives: Some courses at the Business School require Mathematics 211-213 instead of Mathematics 221-222-234. Math 213 has some overlapping content with Math 234, and both Math 234 and Math 213 cannot receive full credit.

Math 222. Closed to students with math credits 223.

Credit hours:4
This means you should expect an additional cost.8 hoursper week (outside class hours) I work on this course on average. This one contains:
- Reading the text
- Do the homework
- Preparation for exams
- Get help if needed

(Video) 14.1 Introduction to multi-variable functions

Course content:

<![yes !support lists]>·<![finish]>Vector functions and spatial curves, velocity and acceleration

<![yes !support lists]>·<![finish]>Arch length and curvature, normal and binormal

<![yes !support lists]>·<![finish]>Motion in space, planetary motion.

<![yes !support lists]>·<![finish]>partial derivatives

<![yes !support lists]>·<![finish]>tangent and normal planes

<![yes !support lists]>·<![finish]>linear approximation

<![yes !support lists]>·<![finish]>gradient and total differential

<![yes !support lists]>·<![finish]>local extremum and absolute

<![yes !support lists]>·<![finish]>Lagrange multipliers

<![yes !support lists]>·<![finish]>Superior derivatives, exact differentials

<![yes !support lists]>·<![finish]>Double and iterated integrals, including polar coordinates

(Video) Math 234 - 12.8 Example 1 - Change of Variables for a Double Integral

<![yes !support lists]>·<![finish]>Applications of double integrals

<![yes !support lists]>·<![finish]>Triple and iterated integrals, including cylindrical and spherical coordinates

<![yes !support lists]>·<![finish]>Applications of triple integrals, volumes and surfaces.

<![yes !support lists]>·<![finish]>Vector fields, area integrals, and line integrals

<![yes !support lists]>·<![finish]>Rio, Green's theorem

<![yes !support lists]>·<![finish]>Divergence Theorem, Stokes' Theorem


In this class you can get a total of 200 points:

exam 1


exam 2


Discussion (quiz and homework)




No total


There are two partials in class and a cumulative final. The scores will be curved. The exact curve will only be determined after the final exam. You needparticipate in the finals to pass the class.The time and location of the finals are determined by the university and cannot be changed. To doNOMake arrangements to get out of town until after the last time..

The discussion score is the sum of the quiz scores (each 3 points) and the homework scores (1 point for each homework turned in). Homework must be checked on Mondays. Quizzes are discussed on Wednesdays. There are no fixes for the tests, but we will remove the lowest test score.

bring yourStudent IDwith each exam. Calculators are very useful for practical problems, but they can make up for a lack of basic knowledge. Therefore, calculators and other computing devices are not allowed on exams for this course. There will be no replacement exams. Contact your teacher if you have to miss an exam.

Task: Homework will be on the page. Solutions must be submitted electronically at Learn@UW.

(Video) Math 234 Spring 2016 Review Session

Make the most of your math class:

Participate in conferences and debates.In many years of teaching, I have found that absenteeism is almost always associated with poor grades.

Start working on the task EARLY.If you can't solve a task, ask for help. Submit your attempts. Treat homework like test practice.

If you need help, don't hesitate.. Go to your vet or teacher. If you wait almost until the end of the semester, it's too late to have a significant impact on your grade.

Get help:

If you have problems, talk to your vet or teacher first. If you are unable to attend during agreed business hours, please arrange a different time. Here are some other places you can get help:

Mathematics Tutorial Program

Get in touch with Dr. Frank Rooney (320 Van Vleck).

math homework:

Theth Lab is a particularly good place to go if you have a quick homework question; More detailed questions are probably best directed to one of the TAs.

Location: B277 Van Vleck Hall (opposite the Mathematics Library)
standard: Monday to Thursday from 3:30 pm to 8:30 pm and Sunday from 3:30 pm to 6:50 pm
Givens: from the second week of classes (generally) until the end of the semester.
Cost: Frey.

private lessons:

(Video) MTH 234 Video 14-02

The Department of Mathematics publishes aList of Mathematics graduateswho are willing to teach students; Copies are available on the second floor of Van Vleck Hall, next to the elevators.

Location: Varies; Many tutors will meet in Van Vleck Hall, some will meet off campus.
Cost: Fees vary from tutor to tutor; Typical costs are $20 to $30 per hour.


<![yes !support lists]>·<![finish]>see instructionsRules, Rights and Obligations.


By enrolling in this course, each student takes responsibility for being an active participant in the academic community at UW-Madison, where everyone's academic work and conduct adhere to the highest standards of academic integrity. Scientific misconduct endangers the integrity of the university. Fraud, forgery, plagiarism, unauthorized collaboration and assisting others in these acts are examples of academic misconduct that may result in disciplinary action. This includes, but is not limited to, disapproval/course assignment, disciplinary probation or suspension. Significant or repeated instances of misconduct will be referred to the Office of Community Standards and Student Conduct for further investigation. For more information, see


Lehrplanaussage des McBurney Disabled Resource Center:“The University of Wisconsin-Madison supports the right of all enrolled students to comprehensive and equal educational opportunity. The Americans with Disabilities Act (ADA), Wisconsin State Statute (36.12), and UW-Madison Policy (Faculty Document 1071) require students with disabilities to make appropriate adjustments in classes and campus life. Reasonable accommodations for students with disabilities is a shared responsibility between faculty and students. Students are expected to notify [eu] faculty of their educational accommodation needs by the end of the third week of the semester or as soon as practicable following the initiation or recognition of a disability. Faculty [I] will work directly with the student [you] or in coordination with the McBurney Center to identify and provide appropriate instructional accommodations. Disability information, including educational housing as part of a student's educational record, is confidential and protected by FERPA."


Institutional Declaration on Diversity:“Diversity is a source of strength, creativity and innovation for UW-Madison. We value each person's contributions and respect the profound ways in which their identity, culture, background, experience, status, skills and opinions enrich the university community. We are committed to the pursuit of excellence in teaching, research, dissemination and diversity as inseparable objectives.

The University of Wisconsin-Madison fulfills its public mission by creating a welcoming and inclusive community for people of all backgrounds, people who serve Wisconsin and the world as students, faculty, and staff."


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