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John Muir College
Applied Physics and Mathematics
Building, Room 7409
http://math.ucsd.edu
All courses, faculty listings, and curricular and degree requirements described herein are subject to change or deletion without notice.
The mathematics department offers a wide range of courses in pure and applied mathematics for its majors and for students in other disciplines. The department offers seven majors leading to the BS: mathematics, applied mathematics, mathematics—computer science, joint major in mathematics and economics, mathematics—scientific computation, mathematics—applied science and probability and statistics, and one leading to the BA: mathematics—secondary education. In addition, students can minor in mathematics or mathematics education. The department also has an Honors Program for exceptional students in any of the eight majors. See the sections on major programs and the other areas mentioned above as well as the course descriptions at the end of this section for more specific information about program requirements and the courses offered by the department. You may visit our website, http://math.ucsd.edu, for more information, including course web pages, career advising, and research interests of our faculty.
Entering students must take the Mathematics Placement Exam (MPE) prior to orientation unless they have an appropriate score on an AP calculus exam, an appropriate score (600 for Math 10A; 650 for Math 20A) on the SAT II Math Level 2 exam, an appropriate score on the International Baccalaureate Higher Level Mathematics Exam, credit by means of a foreign exam (e.g. GCE), or transferable college credit in calculus. The purpose of the MPE is to recommend placement for entering students in Math 3C, 4C, 10A, or 20A. Students can also receive placement into Math 18 (Linear Algebra). For more information about the MPE (test dates, test description, sample exams, online practice tests), see the Mathematics Testing and Placement website, http://mathtesting.ucsd.edu.
Prerequisites for Math 3C, 4C, 10A-B-C, 18, 20A-B-C-D-E, and 31AH-BH-CH are enforced through TritonLink. Students need to ensure that test scores and transferable college credit are submitted to the Registrar prior to enrollment through TritonLink.
Math 3C is the department’s preparatory course for the Math 10 sequence, providing a review of algebraic skills, facility in graphing, and working with exponential and logarithmic functions.
Math 4C is the department’s preparatory course for the Math 20 sequence, providing a brief review of college algebra followed by an introduction to trigonometry and a more advanced treatment of graphing and functions.
Math 10A-B-C is one of three calculus sequences. The students in this sequence have completed a minimum of two years of high school mathematics. This sequence is intended for majors in liberal arts and the social and life sciences. It fulfills the mathematics requirements of Revelle College and the option of the general-education requirements of Muir College. Completion of two quarters fulfills the requirement of Marshall College and the option of Warren College and Eleanor Roosevelt College.
Math 18 (formerly numbered Math 20F) is our lower-division course in linear algebra. This course sits outside the traditional calculus sequence (either 10A-B-C or 20A-B-C) and can be taken concurrent with any of these courses.
The second first-year calculus sequence, Math 20A-B-C, is taken mainly by students who have completed four years of high school mathematics or have taken a college level precalculus course such as Math 4C. This sequence fulfills all college level requirements met by Math 10A-B-C and is required of many majors, including chemistry and biochemistry, bioengineering, cognitive science, economics, mathematics, molecular biology, psychology, MAE, CSE, ECE, and physics. Students with adequate backgrounds in mathematics are strongly encouraged to take Math 20 since it provides the foundation for Math 20D and 20E, which are required for some science and engineering majors.
Certain transfers between the Math 10 and Math 20 sequences are possible, but such transfers should be carefully discussed with an adviser. Able students who begin the Math 10 sequence and who wish to transfer to the Math 20 sequence, may follow one of three paths:
Credit will not be given for courses taken simultaneously from the Math 10 and the Math 20 sequence.
The department also offers a three-quarter Honors Calculus sequence in Multivariable and Vector Calculus and Linear Algebra. This sequence, Math 31AH-BH-CH, is designed for well-prepared students who have both a strong aptitude and a deep interest in mathematics and who wish to undertake a challenging series of courses. The sequence has a prerequisite of a score of 5 on the AP Calculus BC exam. These demanding, proof-based courses cover the material in Math 18, 20C, and 20E respectively—and entering students with a 5 on the Calculus BC exam should consider starting in the Honors sequence if their major (or minor) program requires them to take, at least, Math 18 and 20A-B-C. Math majors who complete the entire three-quarter honors sequence will have also satisfied the requirement of Math 109 for their major program. They would be able to replace Math 109 with any four-unit upper-division mathematics elective course.
The department offers seven different majors leading to the BS: (1) mathematics, (2) applied mathematics, (3) mathematics—computer science, (4) joint major in mathematics and economics, (5) mathematics—scientific computation, (6) mathematics-applied science, and (7) probability and statistics, and one leading to the BA: (1) mathematics—secondary education. The specific emphases and course requirements for these majors are described in the following sections. All majors must obtain a minimum 2.0 grade point average in the upper-division courses used to satisfy the major requirements. Further, the student must receive a grade of C– or better in any course to be counted toward fulfillment of the major requirements. Any mathematics course numbered 100–194 may be used as an upper-division elective. (Note: 195, 196, 197, 198, 199, and 199H cannot be used toward any mathematics major.) All courses used to fulfill the major must be taken for a letter grade. No more than three upper-division courses taken externally from UC San Diego can be counted toward any major. Special exceptions may be considered via petition.
It is strongly recommended that all mathematics majors review their programs at least annually with a departmental adviser, and that they consult with the Advising Office in AP&M 6016 before making any changes to their programs. Current course offering information for the entire academic year is maintained on the department’s web page at http://math.ucsd.edu. Special announcements are also e-mailed to all majors.
Students who plan to go on to complete a PhD in mathematics should be advised that only the best and most motivated students are admitted. Many graduate schools expect that students will have completed a full sequence of abstract algebra (Math 100A-B-C) as well as a full sequence of analysis (Math 140A-B-C). The advanced Graduate Record Exam (GRE) often has questions that pertain to material covered in the last quarter of analysis or algebra. In addition, it is advisable that students consider Summer Research Experiences for Undergraduates. This is a program funded by the National Science Foundation to introduce students to math research while they are still undergraduates. In their senior year or earlier, students should consider taking some graduate courses so that they are exposed to material taught at a higher level. In their junior year, students should begin to think of obtaining letters of recommendation from professors who are familiar with their abilities.
Note: Math 20D and 20E do not need to be taken in order. Math majors are strongly advised to take 18 as early as possible (i.e., it can be taken concurrent with 20A, 20B, or 20C).
Students may be able to participate in the UC Education Abroad Program (EAP) and UC San Diego’s Opportunities Abroad Program (OAP) while still making progress toward the major. Students interested in this option should contact the Study Abroad UC San Diego office in the Matthews Quad Building and discuss their plans with the mathematics advising officer before going abroad.
The department must approve courses taken abroad. Information on EAP/OAP can be found in the “Education Abroad Program” section of the UC San Diego General Catalog and the website http://studyabroad.ucsd.edu/.
The upper-division curriculum provides programs for mathematics majors as well as courses for students who will use mathematics as a tool in the biological, physical and behavioral sciences, and the humanities.
As with all departmental requirements, more advanced courses on the same material may be substituted with written approval from the departmental adviser.
To be prepared for a strong major curriculum, students should complete the last three quarters of the 20 sequence and Math 109 before the end of their sophomore year. Either Math 140A-B or 100A-B should be taken during the junior year.
A major in applied mathematics is also offered. The program is intended for students planning to work on the interface between mathematics and other fields.
To be prepared for a strong major curriculum, students should complete the last three quarters of the 20 sequence and Math 109 before the end of their sophomore year.
This major is designed for students with a substantial interest in scientific computation. The program is a specialized applied mathematics program with a concentration in computer solutions of scientific problems.
Additional elective upper-division courses to total fifteen chosen from the following: Math 110A-B, 120A-B, 130A-B, 152, 155A-B, 170C, or 175.
At least fifteen upper-division mathematics courses are required for the major, exceptThis major is designed for students with a substantial interest in probability theory and statistics. It is useful preparation for many fields of employment as well as graduate school.
Upper-division electives to complete fourteen upper-division courses from the following list: Math 100A-B-C, 103A-B, 110A-B, 111A-B, 120A-B, 130A-B, 140C, 152, 154, 155A, 170A-B-C, 171A-B, 174, 175, 176, 179, 181C, 181E, 184A, 185, 187, 188, 189, 190, 193A-B, 194
At least fourteen four-unit upper-division mathematics courses are required, except
To be prepared for a strong major curriculum, students should complete the last three quarters of the 20 sequence and Math 109 before the end of their sophomore year.
This major is designed for students with a substantial interest in mathematics and its applications to a particular field such as physics, biology, chemistry, biochemistry, cognitive science, computer science, economics, management science, or engineering.
Students must submit an individual plan for approval in advance by a mathematics department adviser, and all subsequent changes to the plan must be approved by a mathematics department adviser.
Graduates of this program will be mathematically oriented computer scientists who have specialized in the mathematical aspects and foundations of computer science or in the computer applications of mathematics.
A mathematics—computer science major is not allowed to also minor in computer science in the Department of Computer Science and Engineering.
The detailed curriculum is given in the list below:
Majors in mathematics and the natural sciences often feel the need for a more formal introduction to issues involving business applications of science and mathematics. Extending their studies into economics provides this application and can provide a bridge to successful careers or advanced study. Majors in economics generally recognize the importance of mathematics to their discipline. Undergraduate students who plan to pursue doctoral study in economics or business need the more advanced mathematics training prescribed in this major.
This major is considered to be excellent preparation for PhD study in economics and business administration, as well as for graduate studies for professional management degrees, including the MBA. The major provides a formal framework making it easier to combine study in the two fields.
Course requirements of the Joint Major in Mathematics and Economics consist principally of the required courses of the pure mathematics major and the economics/management science major.
Fifteen upper-division courses in mathematics and economics, with a minimum of seven courses in each department, chosen from the courses listed below (prerequisites are strictly enforced):
or two courses from the following:
Other courses which are strongly recommended are Math 130B, 181B, 193A-B and 194 and Econ 109, 113, 175, and 178.
This major offers excellent preparation for teaching mathematics in secondary schools. Students interested in earning a California teaching credential from UC San Diego should contact the Education Studies Program (EDS) for information regarding prerequisites and requirements. It is recommended you contact EDS as early as possible.
Recommended:
The minor in mathematics consists of seven or more courses. At least four of these courses must be upper-division courses taken from the UC San Diego Department of Mathematics. Acceptable lower-division courses are Math 18 (or 31AH), 20D, and 20E (or 31CH).
Math 195, 196, 197, 198, 199, and 199H are not acceptable courses for the mathematics minor. A grade of C– or better (or P if the Pass/Not Pass option is used) is required for all courses used to satisfy the requirements for a minor. There is no restriction on the number of classes taken with the P/NP option. No more than eight units of upper-division courses may overlap between major and minor programs.
The mathematics education minor offered through the Education Studies program is intended for students interested in understanding how people learn mathematics, including: students considering K-12 teaching as a career; students interested in teaching at the college level; and students who are interested in becoming better, more reflective learners. All majors are welcome, but the Calculus 10 or 20 sequence is a prerequisite for two of the upper-division courses required for the minor. For more information contact Education Studies: http://physicalsciences.ucsd.edu/programs/cal-teach/math-education-minor.html.
The Department of Mathematics offers an honors program for those students who have demonstrated excellence in the major. Successful completion of the honors program entitles the student to graduate with departmental honors (see Department Honors in the Academic Regulations section).
Applications to the program should be made the spring quarter before the student is at senior standing.
Completion of the honors program requires the following:
The department’s Honors Committee will determine the level of honors to be awarded, based on the student’s GPA in the major and the quality of the honors work. Applications for the mathematics department’s Honors Program can be obtained at the mathematics department Undergraduate Affairs Office (AP&M 7409) or the Mathematics Advising Office. Completed applications can be returned to the Mathematics Advising Office.
The Joint Mathematics and Economics Honors Committee will determine the level of honors to be awarded, based on the student’s GPA in the major and the quality of the honors work.
Information on duplication of credit (both full and partial) can be found in the course descriptions. It is the student’s responsibility to be aware of the credit restrictions listed.
Advisers change yearly. Contact the undergraduate office at (858) 534-3590 for current information.