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Vector Calculus Topic Review Sessions FAQ

Professional staff are always available to answer educators or staff questions, receive feedback, or listen to ideas on how to improve the program. You can reach the SI Program staff by sending an e-mail to aah@ucsd.edu or go to our team page to find AAH professional staff information

What majors require Vector Calculus (Math 20E)?

Most math and engineering majors require Math 20E except the joint major in Mathematics and Economics, and the following engineering majors: Computer Science and Computer Engineering. Please confirm the requirements for your specific major by visiting the department’s website or talking with your major academic advisor.

Vector Calculus (Math 20E) is needed for majors in these departments:

Engineering

  • Bioengineering
  • Electrical & Computer Engineering (EE major)
  • Mechanical & Aerospace Engineering
  • Nanoengineering
  • Structural Engineering

Mathematics 

  • Applied Mathematics
  • Pure Mathematics 
  • Math - Computer Science
  • Math - Applied Science
  • Math - Secondary Education
  • Math - Scientific Computation 
  • Probability and Statistics

Physics

  • BS, Physics
  • BS, Physics with Specialization in Astrophysics
  • BS, Physics with Specialization in Biophysics
  • BS, Physics with Specialization in Computational Physics
  • BS, Physics with Specialization in Earth Sciences
  • BS, Physics with Specialization in Materials Physics
  • BA, General Physics
  • BA, General Physics/Secondary Education

I took Vector Calculus at my university. Do I need to attend these sessions?

Vector Calculus does not articulate from community college. If you are confident in the concepts and course material, you will need to take the Math department Vector Calculus fulfillment exam to obtain units or move beyond the course.

If you took the course at another 4-year university, please work with your major department in math to see if you can receive approval for the course to transfer.

Do I need to attempt the MATH 20E Fulfillment Exam?

The MATH 20E Fulfillment Exam is offered as an option for students to fulfill the MATH 20E requirement if they have previously taken courses that cover the majority of MATH 20E content, including vector calculus. If you have taken vector calculus and participate in this topic review session we believe you will be well-positioned to do well on the fulfillment exam, but you are not required to take it. Instead, you may choose to enroll in the MATH 20E course. If you have not taken vector calculus, we do not recommend that you attempt the MATH 20E Fulfillment Exam. Instead, enroll in the MATH 20E course.

I have not taken vector calculus before. Can I participate in the MATH 20E Topic Review Program?

If you have not yet taken vector calculus, we do not recommend that you participate in this Topic Review Program or attempt the MATH 20E Fulfillment Exam. The program does not teach any content, instead, it is intended to review content you have learned previously.

Should I register for these Vector Calculus review sessions?

Yes, you should register for the Vector Calculus review sessions if you believe you have taken this course before at your previous university and are planning to take the Vector Calculus (Math 20E) fulfillment exam offered by UC San Diego Math Department.

Additionally, throughout the two weeks, you will get to know other UC San Diego students, your facilitator who has been in the university for multiple years, and new students like you to begin your new friendships and study partners who will be in majors similar to you.

Is there a cost to me when I register for the Vector Calculus review sessions?

No, the Vector Calculus review sessions are free of charge to UC San Diego incoming students.

What are the topics to be reviewed in the Vector Calculus review sessions?

The topics to be covered in the review sessions are listed here.

Vector Calculus Topics:

  1. Double integral over a region and changing order of integration, mean value inequality
  2. Triple integral
  3. Geometry of Maps from R2 to R2
  4. The change of variables theorem
  5. Vector field
  6. Path Integral, Line Integral
  7. Parametrized Surface and use integral to find area of a surface
  8. Integrals of Scalar Functions Over Surfaces
  9. Surface Integrals of Vector Field
  10. Green's Theorem
  11. Stoke's Theorem
  12. Gauss's Theorem (Divergence Theorem)
  13. Conservative Fields
If you have covered each of these topics in your previous course(s), you should sign up for the review sessions! If there is a topic that you are unfamiliar with, you should do research of your previous course topics, consult your previous or current math instructor or the UC San Diego Math Department to determine if you have a different associated name with the topic or theorem.

If none, a few, or several of the listed topics for Vector Calculus are not familiar to you, you are encouraged to enroll in Vector Calculus (Math 20E) at UC San Diego. Please see the Schedule of Classes to determine which term, course in fall that you will enroll in. You may wish to consult with your major academic advisor for guidance.

How are the Vector Calculus sessions designed? What will I be doing?

Academic Achievement Hub Supplemental Instruction Leaders will be facilitating discussions about these topics using interactive activities. Leaders will be guiding you through activities and problem solving related to prior knowledge within the topics but will NOT be teaching them. You will have opportunities to get to know other UC San Diego students, learn together, and have fun while engaging in the review topics and problem-solving.

At the end of each session, attendees will be provided worksheets to further their practice and study of the Vector Calculus topics. If you need support with these worksheets, tutoring available through the Academic Achievement Hub. Tutoring is free of charge to UC San Diego students.

Your success for the fulfillment exam and in your future major courses is dependent on your participation, self-study, and knowing the material well.

I attend the Vector Calculus review sessions, but realize there are topics I actually do not know. Are there penalties for dropping out of the sessions?

The program is completely free of charge and dropping from the program has no negative financial or academic consequences for you as a UC San Diego student.  We ask that you email aah@ucsd.edu to let us know that you are not continuing in the sessions so that we can remove you from messaging and so the session facilitator may have time to redesign groupings for collaborative activities.

We encourage you to enroll in the UC San Diego Vector Calculus (Math 20E) course if you find yourself in this situation. Please see the Schedule of Classes to determine which course in the Fall that you will enroll in.  You may wish to consult with your major academic advisor for guidance.

Do I need to register and participate in these sessions in order to take the Vector Calculus (UC San Diego Math 20E) Fulfillment Exam?

No, you are not required to register and attend these sessions.  They are being offered to support your self-study and preparation for the Vector Calculus fulfillment exam.  These sessions are opt-in; you decide if they will serve you in your preparation. However, we highly encourage you to attend these sessions to review materials you may not have seen in a while and/or to provide you with an opportunity to create a time management guide and specific topics to prepare for the exam. 

Additionally, throughout the two weeks, you will get to know other UC San Diego students, your facilitator who has been in the university for multiple years, and new students like you to begin your new friendships and study partners who will be in majors similar to you.

When will I begin to access information about the review sessions?

On September 3rd,  if you've registered for the review sessions, you will be added to the Vector Calculus Topic Review Session Canvas site. This is the LMS, or Learning Management System, for UC San Diego. On this date, you will have access to the first module to review foundational calculus topics.

Each day after you participate in a topic review session, the module for your continuous work or review will be available to you.