Welcome to the course webpage for the Summer 2024 (Session 1) manifestation of MATH 22: Introduction to Calculus of Several Variables at the University of California, Santa Cruz.

The official syllabus for the course is located here. Much of the important information from the syllabus is summarized below.

Basic Course Information

• Prerequisites: MATH 11B or MATH 19B or MATH 20B or AM 15B or AP calculus BC exam score of 4 or 5.
• Textbook: We will be using Active Calculus: Multivariable, by Steve Schlicker. In the spirit of reducing the cost of your education, I have chosen to use this free and open source textbook. You can download the textbook for free or view the .html version. This textbook is by no means traditional: as the title suggests, the student is expected to actively engage with the textbook. There are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts. Everyone will be expected to read the textbook and digest the material in a meaningful way, outside of class. Class meetings will typically be reserved for discussing key ideas and completing the activities, either individually or in groups.
• Course Webpage: You're on it! Assigned readings and other assignments will typically be posted here. If there are any notes from our meetings, they will be posted here as well.
• Canvas: The Canvas webpage will be primarily used for hosting grades. Important links and due dates are also available there. I do not regularly check Canvas messages, please contact be on Zulip. Login here: https://canvas.ucsc.edu with your CruzID and Gold password.
• Edfinity: We will use the online homework management system edfinity. You are required to enroll in our course at the following link: https://edfinity.com/join/Q4TEXNAJ. The cost is 25 dollars per student. Note: I chose edfinity as an alternative to WebAssign, which costs over 100 dollars per student.
• Teaching Assistant: Our TA is Tzu-Mo Kuo. You can contact him via via email. Tzu-Mo will hold weekly office hours and discussion sections. You are highly encouraged to attend these!
  • TA e-mail:
  • TA Office Hours:11:00AM-12:00PM and 4:00PM-5:00PM Wednesdays
  • Office Hour Location: Zoom, see Canvas for the link
  • Discussion Sections: 1:00-2:00PM T/Th
  • Section Location: Engineering 2 Room 192
  Sections and office hours begin the first week of class.
• Small Group Tutoring: LSS is supporting our course with small group tutoring. You can sign-up for tutoring sessions on TutorHub. Our tutor is Pooja Das Gupta. Tutor e-mail:
• Accessibility: I am strongly committed to making my course as accessible as possible. If you encounter materials that are not accessible to you, or experience a barrier to your participation, please bring this to my attention and I will gladly work with you to ensure accessibility. I am also happy to honor any accommodations letters from the Disability Resource Center (DRC) that you would like to confidentially bring to my attention.
• Course Content: Functions of several variables. Continuity and partial derivatives. The chain rule, gradient and directional derivative. Maxima and minima, including Lagrange multipliers. The double and triple integral and change of variables. Surface area and volumes. Applications from biology, chemistry, earth sciences, engineering, and physics.
• Learning Outcomes: Upon successful completion of the course, students will be able to do the following within the topic of multivariable calculus:
  • Recall the basic definitions, theorems, and techniques of multivariable calculus.
  • Distinguish truth from falsehood and create examples and counterexamples.
  • Competently and confidently solve a variety of problems that require techniques from multivariable calculus.
  • Communicate mathematical ideas and arguments in clear, convincing, and concise language, both written and oral.

Assessments

• Assessment Distribution: Your final score in the course will be calculated as the weighted average of the following assessments.
  • Reading Assignments (15%)
  • Daily Assignments (15%)
  • Weekly Assignments (25%)
  • Edfinity Exercises (15%)
  • Midterm Exam (15%)
  • Final Exam (15%)
  • Discussion Sections (5%)
• Submitting Assignments: All reading assignments and weekly assignments must be submitted via gradescope.
  
  • All Reading, Daily, and Weekly assignments must be submitted via gradescope. When you submit your files, you will be prompted to select, for each specified problem or activity, the pages on which the associated work/solution are located. You are required to accurately identify the pages associated to each problem. If you fail to do so, you may receive a “No Pass” (if it is a daily or reading assignment) or you may receive no credit for each problem for which the pages are not correctly identified (if it is a weekly assignment).
  • Additionally, it is your responsibility to make sure your submission is legible and easy to read. If you submit work that is difficult or impossible to read, you will not receive credit for it, and you will not be allowed to resubmit.
    
  • There are numerous free smart phone apps that allow you scan your work and save it as a .pdf.
• Late Work Policy: I will not, under any circumstance, accept late submissions for reading assignments, daily assignments, or Edfinity exercises. Late submissions of weekly assignments and exams are only ac- cepted, at my sole discretion, in extreme circumstances. Extreme circumstances must be adequately docu- mented and confidentially brought to my attention as soon as possible.
• Letter Grades: Your final letter grade depends on your score. Final letter grades are assigned according to the following score ranges:
  

  A+	96-100		B+	86-89		C+	76-79		D+	66-69		F	0-59
  A	93-95		B	83-85		C	73-75		D	63-65
  A-	90-92		B-	80-82		C-	70-72		D-	60-62

  
  Score ranges may be adjusted (to your advantage) according to class performance. Scores falling in be- tween two ranges will be rounded up. For example, according to the ranges above a final score of 75.1 will earn the letter grade C+ (rounded up), whereas a final score of 74.9 will earn the letter grade C (no rounding).