Articles

12.4: New Page - Mathematics


12.4: New Page - Mathematics

12.4: New Page - Mathematics

Due to the COVID-19 pandemic, ICERM staff will be working remotely. ICERM's physical space is closed to visitors and to the public. A very limited number of accepted long-term visitors will be in-residence this spring. Our programming will continue online. Check out the event pages for schedules and more details.

ICERM will continue to follow precautions from Brown as well as local, state, and national guidelines to protect program participants and staff from the novel coronavirus COVID-19. For more details, please see the university's FAQ page.

ICERM plans to host small-scale collaborative research programs this summer and hopes to hold workshops in-person starting in the fall. We anticipate that all ICERM scientific programming through 2021 will be made available virtually for those unable to travel to the institute, whether due to the pandemic or any other reason. To this end, we have added a "virtual participant" option to our application page.


Introduction

The Ross Program is an intensive summer experience designed to encourage motivated pre-college students to explore mathematics. During those weeks, students are immersed in a world of mathematical discovery.

Dr. Arnold Ross founded this multi-level program at Notre Dame University in 1957. Its growth was then spurred by the launch of the Sputnik satellite and the subsequent surge of interest in science education. Arnold Ross’s Program has run every summer since then, associated mostly with Ohio State University from 1964 through 2018. In 2019 the Program moved to Ohio Dominican University, and in 2020 the program was entirely online.

Our central goal has always been to instruct bright young students in the art of mathematical thinking and to inspire them to discover for themselves that abstract ideas are valuable and important. First year participants take the basic course in number theory. For most students, this is the first time they are asked to consider entirely new questions, to develop methods that they have not seen before, and to justify every answer.

The value of a mathematics education lies not only in obtaining proficiency in computational tasks, but also in building a foundation for critical thinking. Students who have never asked why things work the way they do are not prepared to lead the way to future scientific innovation. It is precisely this independence of thought and questioning attitude that the Ross Program strives to nurture.

Ross Program in Asia.
The Ross/Asia program has been cancelled for 2021.
In 2022 we hope to be able to offer a Ross session at a location in China or in a country nearby.


Mathematics

The Department of Mathematics is generally recognized as one of the broadest, liveliest, and most distinguished departments of mathematics in the world. With one of the finest mathematics libraries in the nation, and a favorable climate, it is America's most exciting and cosmopolitan centers for mathematics research and teaching. UC Berkeley has become a favorite location for the study of mathematics by students and faculty from all over the world.

UC Berkeley is increasingly interested in developing the talents of outstanding mathematics students and has a number of challenging honors-level courses. The department encourages all major students to participate in the annual William Lowell Putnam Mathematical Competition. Additionally, the department sponsors undergraduate teams in the annual Mathematical Contest in Modeling, in which teams of three write mathematical solutions to real-life problems. An active Mathematics Undergraduate Student Association (MUSA), of which all departmental majors are automatically members, contributes to making Berkeley a stimulating and rewarding place to study mathematics. Moreover, Women in Mathematics at Berkeley (WIM) serves to foster a community and provide a network amongst the undergraduate women in mathematics at Cal.

Berkeley's mathematics education program is greatly enriched by its large number of graduate students, postdoctoral faculty and fellows, and visiting teachers in residence each year. They come from all over the world to teach courses, participate in seminars, collaborate in research, give talks at the weekly Mathematics Colloquium, and be available as consultants. An affiliated interdisciplinary group, with its own doctoral program, is the Group in Logic and the Methodology of Science . We have two NSF funded Research Training Groups: one in Representation Theory, Geometry and Combinatorics and one in Geometry, Topology and Operator Algebras . These groups run seminars, workshops, and other activities and support graduate student and postdoctoral fellows in their areas of interest.

The Department has several graduate student groups: the Mathematics Graduate Student Association (MGSA), comprising all graduate students, the Noetherian Ring, a group of women in mathematics, Unbounded Representation (Urep), promoting dialogue on diversity in the math community, and a student lecture series, Many Cheerful Facts.

Facilities

The Mathematics Library on the first floor of Evans Hall, part of the system of the University of California Libraries, provides researchers and students with access to world-class collections.

The Mathematical Sciences Research Institute (MSRI) was founded by the National Science Foundation in 1981. In a beautifully designed building on the hills above the Berkeley campus and overlooking San Francisco Bay, about 1,700 mathematicians from around the world come each year to participate in research programs in a wide variety of mathematical topics. The combined and cooperative efforts of the department, the center, and the MSRI provide a program of mathematics courses, workshops, seminars, and colloquia of remarkable variety and exciting intensity.

Undergraduate Programs

Applied Mathematics: BA
Mathematics: BA (also available with a Teaching Concentration), Minor


Mathematics (MATH)

Required Prerequisite: minimum score of 07 in 'Math Placement Algebra II'.

Required Prerequisite: minimum score of 13 in 'Math Placement Algebra I'.

Required Prerequisite: minimum score of 13 in 'Math Placement Algebra I'.

Required Prerequisites: minimum score of 13 in 'Math Placement Algebra I', MATH 105 C , 105 XS , 108 C , 108 XS , 113 C or 113 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (minimum score of 07 in 'Math Placement Transcendentals', MATH 105 C , 105 XS or 104 C ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 113 C , 113 XS or U113) or ((MATH 123 C or 123 XS ) and (MATH 124 C or 124 XS )).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisite: (minimum score of 65 in 'Math Placement Transcendentals').

Required Prerequisites: MATH 115 C , 115 XS , U115, 113 A or 113 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.
A Requires minimum grade of A.

Required Prerequisites: (minimum score of 13 in 'Math Placement Algebra I' and minimum score of 07 in 'Math Placement Algebra II') or MATH 105 C , 105 XS or 104 C .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: MATH 123 C or 123 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: minimum score of 13 in 'Math Placement Algebra I', MATH 105 C , 105 XS , 108 C , 108 XS , 113 C or 113 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

200 Level Courses

Required Prerequisites: (MATH 114 C , 114 XS , 114T, 116 C or 116 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 114 C , 114 XS , 114T, 116 C or 116 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: MATH 213 C , 213 XS , 213T, 215 C or 215 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 114 C , 114 XS , 116 C or 116 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 203 C , 203 XS or U203) and (MATH 213 C , 213 XS , U213, 215 C , 215 XS or U215).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 271 C or 271 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

300 Level Courses

Required Prerequisites: ((MATH 114 C , 114 XS , 114T or 116 C ) and (MATH 125 C , 125 XS , 125T or 175 C )).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: MATH 114 C , 114 XS , 116 C or 116 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 203 C or 203 XS ) and (MATH 214 C , 214 XS or 216 C ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 114 C , 114 XS , 116 C or 116 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 213 C , 213 XS , 213T, 215 C or 215 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 214 C , U214, 214 XS , 216 C or U216).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: ((MATH 213 C , 213 XS , 215 C or 215 XS ) and (MATH 300 C or 300 XS )).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 315 C , 315 XS or L315).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: ((MATH 213 C , 213 XS , 215 C or 215 XS ) and (MATH 300 C or 300 XS )).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: ((MATH 203 C , 203 XS or U203) and (MATH 300 C or 300 XS )).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 125 C , 125 XS or 125T).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: MATH 213 C , 213 XS , 215 C , 215 XS or 215T.
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 351 C , 351 XS or L351).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

400 Level Courses

Required Prerequisites: MATH 300 C or 300 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisite: (MATH 405 C ).
C Requires minimum grade of C.

Required Prerequisites: (MATH 214 C , 214 XS or 214T) or (MATH 216 C or 216T).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 203 C , 203 XS or 203T) and (MATH 214 C , 214 XS or 214T) or (MATH 216 C or 216T).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: MATH 413 C or 413 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 315 C or 315 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 203 C , 203 XS or 203T).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 351 C or 351 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 203 C , 203 XS or 203T) and (CS 112 C , 112 XS or 112T).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 214 C , 214 XS , 214T, 216 C or 216T) and (MATH 446 C or 446 XS ).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: MATH 352 C , 352 XS or STAT 356 C .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Required Prerequisites: (MATH 203 C , 203 XS or 203T) and (MATH 214 C , 214 XS or 214T) or (MATH 216 C or 216T).
C Requires minimum grade of C.
XS Requires minimum grade of XS.

500 Level Courses

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Required Prerequisites: MATH 352 C , 352 XS , STAT 356 C , 356 XS , MATH 554 C or 554 XS .
C Requires minimum grade of C.
XS Requires minimum grade of XS.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

600 Level Courses

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

700 Level Courses

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Required Prerequisites: (MATH 621 B- or 621 XS ).
B- Requires minimum grade of B-.
XS Requires minimum grade of XS.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate or Non-Degree.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Required Prerequisites: (MATH 621 B- or 621 XS ).
B- Requires minimum grade of B-.
XS Requires minimum grade of XS.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate or Non-Degree.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate level students.

Students in a Non-Degree Undergraduate degree may not enroll.

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may not enroll.


12.4: New Page - Mathematics

An implementation of the Java programming language may unload classes.

A class or interface may be unloaded if and only if its defining class loader may be reclaimed by the garbage collector as discussed in §12.6.

Classes and interfaces loaded by the bootstrap loader may not be unloaded.

Class unloading is an optimization that helps reduce memory use. Obviously, the semantics of a program should not depend on whether and how a system chooses to implement an optimization such as class unloading. To do otherwise would compromise the portability of programs. Consequently, whether a class or interface has been unloaded or not should be transparent to a program.

However, if a class or interface C was unloaded while its defining loader was potentially reachable, then C might be reloaded. One could never ensure that this would not happen. Even if the class was not referenced by any other currently loaded class, it might be referenced by some class or interface, D , that had not yet been loaded. When D is loaded by C 's defining loader, its execution might cause reloading of C .

Reloading may not be transparent if, for example, the class has static variables (whose state would be lost), static initializers (which may have side effects), or native methods (which may retain static state). Furthermore, the hash value of the Class object is dependent on its identity. Therefore it is, in general, impossible to reload a class or interface in a completely transparent manner.

Since we can never guarantee that unloading a class or interface whose loader is potentially reachable will not cause reloading, and reloading is never transparent, but unloading must be transparent, it follows that one must not unload a class or interface while its loader is potentially reachable. A similar line of reasoning can be used to deduce that classes and interfaces loaded by the bootstrap loader can never be unloaded.

One must also argue why it is safe to unload a class C if its defining class loader can be reclaimed. If the defining loader can be reclaimed, then there can never be any live references to it (this includes references that are not live, but might be resurrected by finalizers). This, in turn, can only be true if there are can never be any live references to any of the classes defined by that loader, including C , either from their instances or from code.

Class unloading is an optimization that is only significant for applications that load large numbers of classes and that stop using most of those classes after some time. A prime example of such an application is a web browser, but there are others. A characteristic of such applications is that they manage classes through explicit use of class loaders. As a result, the policy outlined above works well for them.

Strictly speaking, it is not essential that the issue of class unloading be discussed by this specification, as class unloading is merely an optimization. However, the issue is very subtle, and so it is mentioned here by way of clarification.


Advising

The Math Department has a small team of undergraduate advisors who specialize in information on requirements, policies, procedures, resources, opportunities, untying bureaucratic knots, developing study plans, attending commencement, and certifying degrees and minors. Students are strongly encouraged to see an undergraduate advisor at least twice a year.

Faculty advisors are also available to students. Faculty advisors approve major electives which are not already pre-approved and listed on our website and can also approve courses from study abroad or other 4 year institutions towards a student’s upper-division major requirements. Appropriate questions for the faculty adviser include selection of electives and preparation for graduate level courses in a specific mathematical area to be used for honors in the major. Be sure and let him/her know if you are considering graduate work in or related to mathematics, and if you need to solicit help in how best to prepare.

We also encourage students to take advantage of the expertise of the Math Department’s Peer Advisors. They can provide a student perspective on courses, instructors, effective study habits, and enrichment opportunities. They hold office hours, host events, and post articles on their blog which can be found here.

Information about all of the above Math Department advising resources can be found here.


The admission requirement may be satisfied through any one of the following means:

College mathematics credits

Completing a transferable mathematics course (such as college algebra or math for the liberal arts or any Colorado community or junior college course with a gtPathways MA-1 designation, including Intro to Statistics) with a grade of “C-” or higher.

Foundational college mathematics course

Completing a pre-college level course such as intermediate algebra, a math literacy lab completed concurrently with a college-level course, or an equivalent (generally numbered below 100-level) with a grade of “C-” or higher.

High school mathematics credits

Completing Algebra I, Geometry, and Algebra II with grades of “C-” or higher while in high school.

Exam scores

Submitting official scores of 3 or better on the AP Calculus AB or BC exam, 4 or better on the IB Math exam (Further Math, Math Studies, or Mathematics), or 50 or better on CLEP College Math or math subject exams (i.e., College Algebra, Pre-Calculus, Calculus).

Transfer Admission Guarantee

Meeting the Transfer Admission Guarantee through completion of an Associate of Arts or an Associate of Science from a state of Colorado community or junior college

Math Placement Tool

Applicants who will not meet the admission requirement in mathematics with course work or official test scores as outlined above can use the Colorado State University Math Placement Tool to demonstrate readiness for college-level math.

Completing the Math Placement Tool

After you submit your application to CSU, you can access the Math Placement Tool.

  • Refer to your applicant status page or contact Admissions to learn your 9-digit CSU ID number.
  • Use your CSU ID number and a limited amount of personal information to create your eID.
  • Follow the directions to prepare for and take the Math Placement Tool using your eID.

When can you complete the Math Placement Tool?

You can complete the tool anytime from a remote location after you have applied for admission and created your eID. If you will not meet the admission requirement in mathematics with course work, you are strongly encouraged to complete the tool and notify Admissions before the application deadline.

The Math Placement Tool and related Entry Level Math Tutorial (ELM) websites are closed for maintenance between semesters.

What Math Placement Tool result is necessary to meet CSU’s requirement?

Your results will be available immediately after you complete the online tool and will indicate whether you have met the admission requirement in mathematics. If you demonstrate readiness for College Algebra or above (Math 117, 118, 124, etc.), you will have cleared the admission requirement in mathematics.

If your results indicate that you are only cleared to register for Math for Social Sciences (Math 101) or Statistical Literacy (STAT 100), you also must complete units 1-3 of the self-paced, online Entry-Level Math Tutorial (ELM) to satisfy the admission requirement in mathematics.

Applicants to CSU are advised to take the unproctored Math Placement Tool to meet the admission requirement in mathematics unless they expect to receive advanced standing or test out credit for college-level math proficiency.


Collins IGCSE Maths Edexcel

Ensure top marks and complete coverage with Collins' brand new IGCSE Maths course which is suitable for IGCSE Mathematics A and The Edexcel Level 1/Level 2 Certificate in Mathematics.

Publisher: Collins Educational

Category: Mathematics

Ensure top marks and complete coverage with Collins' brand new IGCSE Maths course which is suitable for IGCSE Mathematics A and The Edexcel Level 1/Level 2 Certificate in Mathematics. Provide rigour with thousands of tried and tested questions using international content and levels clearly labelled to aid transition from Foundation to Higher. • Endorsed by Edexcel • Ensure students are fully prepared for their exams with extensive differentiated practice exercises, detailed worked examples and IGCSE past paper questions. • Stretch and challenge students with supplementary content for Higher level examinations and extension level questions highlighted on the page. • Emphasise the relevance of maths with features such as 'Why this chapter matters' which show its role in everyday life or historical development. • Develop problem solving with questions that require students to apply their skills, often in real life, international contexts. • Enable students to see what level they are working at and what they need to do to progress with Foundation and Higher levels signalled clearly throughout. • Encourage students to check their work with answers to all exercise questions at the back (answers to examination sections are available in the accompanying Teacher’s Pack).


Watch the video: Go Math Lesson Practice and Homework (October 2021).