Undergraduate Study

Admission

Students entering UCLA directly from high school who declare one of the five mathematics majors offered by the department at the time they apply for admission are automatically admitted to that major.

UCLA students who wish to enter one of the mathematics majors must have a minimum grade of C- in each preparation for the major course completed and a combined grade-point average of at least 2.0 in those courses. Grades in any completed major courses must also average at least 2.0. Students with 60 or more units of credit must have completed at least 12 units of calculus to enter any of the mathematics majors.

Transfer students must have a minimum grade of C in the equivalent of each preparation for the major course completed. Those transferring with 60 or more quarter units of credit must have completed at least 12 quarter units of calculus to enter any of the Mathematics Department majors.

Preliminary Examination in Mathematics

If students wish to enroll in Mathematics 1, 3A, or 31A, they must pass the Mathematics Diagnostic Test.

The examination may be taken at any one of several times, including all sessions of the summer Orientation Program. It is also given several times during the academic year. For specific dates and test locations, refer to the Schedule of Classes or the departmental website at http://www.math.ucla.edu/undergrad/diagnostic.html, or contact the Mathematics Student Services Office, 6356 Math Sciences.

Advanced Placement in Calculus

Students who have taken the Advanced Placement (AP) Calculus AB Test and obtained a score of 4 or 5 receive 4 units of credit and Mathematics 31A equivalency; those with a score of 3 receive 4 units of calculus and analytic geometry credit. They may petition for 31A equivalency, or they may take course 31A at UCLA, although they must still satisfy the course requisites (Mathematics Diagnostic Test). Students who take the BC Test and obtain a score of 4 or 5 receive 8 units of credit and Mathematics 31A, 31B equivalency; those with a score of 3 receive 8 units of calculus and analytic geometry credit. They may petition for 31A, 31B equivalency, or they may take courses 31A, 31B at UCLA, although they must still satisfy the course requisites (Mathematics Diagnostic Test). Students receiving a score of 3 on the AB or BC examination should consult the undergraduate mathematics counselor prior to enrolling in a calculus course at UCLA.

Credit Limitations

Credit is given for at most one course in each of the following groups: (1) 3A, 31A; (2) 3B, 31B, 31E; (3) 3C, 33A; (4) 110A, 117.

Courses from only one of the following statistics sequences may be applied toward any mathematics major: (1) Mathematics 170A or Statistics 100A, Statistics 100B, 100C or (2) Statistics 100B, 110A.

Mathematics 170A and Statistics 100A are not open for credit to students with credit for Electrical Engineering 131A.

Mathematics 2, 38A, 38B, and Statistics 10 are not open for credit to students with credit for any course from Mathematics 110A through 199.

Mathematics 132 is not open for credit to students with credit for Physics 132.

Mathematics 151A and 151B are not open for credit to students with credit for Electrical Engineering 103.

Students may not take or repeat a mathematics course for credit if it is a requisite for a more advanced course for which they already have credit. This applies in particular to the repetition of courses (e.g., if students wish to repeat Mathematics 31B, they must do so before completing course 32A).

Students may not receive credit for both a course and the honors version of that course (e.g., they may not receive credit for both Mathematics 131A and 131AH).

Upper Division Courses

Mathematics 113, 115A, 117, 131A, 132, 142, 151A, 164, and 197 are offered each term. The remaining upper division courses are usually offered once or twice each year. The tentative class schedule for the forthcoming academic year is posted in the Student Services Office in February.

Undergraduate Majors

The department offers five majors: Mathematics, Applied Mathematics, Mathematics of Computation, Mathematics/Applied Science, and General Mathematics. The department also participates with the Economics Department in the Mathematics/Economics Interdepartmental Program, which offers a Mathematics/Economics major.

The Mathematics major is designed for students whose basic interest is mathematics; the Applied Mathematics major for those interested in the classical relationship between mathematics, the physical sciences, and engineering; the Mathematics of Computation major for individuals interested in the mathematical theory and the applications of computing; the Mathematics/Applied Science major for those with substantial interest in the applications of mathematics to a particular outside field of interest; and the General Mathematics major for students planning to teach mathematics at the high school level. As part of the Mathematics/Applied Science major, the department offers programs for students interested in the fields of actuarial science, management/accounting, medical and life sciences, and operations research.

Courses taken to fulfill any of the requirements for any of the mathematics majors must be taken for a letter grade.

Students planning to pursue graduate study in mathematics are strongly encouraged to take a three-term sequence of graduate-level courses during their senior year.

Mathematics B.S.

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, Program in Computing 10A, Physics 1A, and two courses from Chemistry and Biochemistry 20A, 20B, Economics 11, Life Sciences 1, Philosophy 31, 32, Physics 1B, 1C, 6B, 6C. Each course must be passed with a minimum grade of C-, and students must have a minimum overall grade-point average of 2.0 for the courses.

Transfer Students

To be admitted as Mathematics majors, transfer students with 90 or more units must complete the following introductory courses prior to admission to UCLA: two years of calculus for majors, one calculus-based physics (mechanics) course, one C ++ programming course, and two courses from general chemistry for majors, economics, symbolic logic, and calculus-based physics.

The Major

Required: Mathematics 110A, 110B, 115A, 120A, 131A, 131B, 132, and at least five elective courses from 106 through 199 and Statistics 100A through M120B. The 12 courses must be passed with a minimum overall grade-point average of 2.0.

Applied Mathematics B.S.

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, Program in Computing 10A, Physics 1A, 1B, and one course from Chemistry and Biochemistry 20A, 20B, Physics 1C. Each course must be passed with a minimum grade of C-, and students must have a minimum overall grade-point average of 2.0 for the courses.

Transfer Students

To be admitted as Applied Mathematics majors, transfer students with 90 or more units must complete the following introductory courses prior to admission to UCLA: two years of calculus for majors, two calculus-based physics courses, one C ++ programming course, and one course from general chemistry for majors or calculus-based physics.

The Major

Required: Mathematics 115A, 131A, either 131B or 132, 142; two two-term sequences from two of the following categories: numerical analysis -- courses 151A and 151B, probability and statistics -- courses 170A and 170B, or Statistics 100A and 100B, or 110A and 110B, differential equations -- courses 135A and 135B; four courses from 110A through 199 and Statistics 100A through M120B (appropriate courses from other departments may be substituted for some of the additional courses provided departmental consent is given before such courses are taken). The 12 courses must be passed with a minimum overall grade-point average of 2.0.

Mathematics of Computation B.S.

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, 61, Program in Computing 10A, 10B, 10C, Physics 1A, 1B, and one course from Chemistry and Biochemistry 20A, 20B, Physics 1C. Each course must be passed with a minimum grade of C-, and students must have a minimum overall grade-point average of 2.0 for the courses.

Transfer Students

To be admitted as Mathematics of Computation majors, transfer students with 90 or more units must complete the following introductory courses prior to admission to UCLA: two years of calculus for majors, one discrete structures course, two calculus-based physics courses, three programming courses, and one course from general chemistry for majors or calculus-based physics.

The Major

Required: Eleven Mathematics Department courses, including Mathematics 115A, 131A, 131B or 132, 151A, 151B, and six courses from 110A through 199 and Statistics 100A through M120B; three upper division computer science courses (12 units). The 14 courses must be passed with a minimum overall grade-point average of 2.0.

Mathematics/Applied Science B.S.

The Mathematics/Applied Science major is designed for students with a substantial interest in mathematics and its applications to a particular field. It is an individual major in that students, in consultation with a faculty adviser, design their own program. They may also select one of the established programs: actuarial plan, management/accounting plan, medical and life sciences plan, or operations research plan. In the past, Mathematics/Applied Science majors have combined the study of mathematics with fields such as atmospheric sciences, biochemistry, biology, chemistry, economics, geography, physics, psychology, and statistics.

Students interested in designing an individual program should meet with the undergraduate adviser, 6356 Math Sciences, during their sophomore year. A proposed program is drawn up, then forwarded to the mathematics/applied science curriculum committee for approval. All programs must include the following preparation for the major and major courses.

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, Program in Computing 10A. Each course must be passed with a minimum grade of C-, and students must have a minimum overall grade-point average of 2.0 for the courses. Additional preparation, varying with the individual program, may be required.

Transfer Students

To be admitted as Mathematics/Applied Science majors, transfer students with 90 or more units must complete the following introductory courses prior to admission to UCLA: two years of calculus for majors and one C ++ programming course. Additional courses are required for each concentration plan.

The Major

Required: Fourteen courses, seven in the Mathematics Department selected from Mathematics 110A through 199 and Statistics 100A through M120B and seven upper division courses in a related field selected from one or two other departments. The seven Mathematics Department courses must be passed with an overall grade-point average of 2.0, as must the seven courses outside mathematics.

At least five of the courses from the related discipline must be taken after the program has been approved. Students are not admitted to the major if they have 135 or more units by the end of the term in which they plan to enter the program.

Actuarial Plan

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, Program in Computing 10A, Economics 11, 100. Economics 100 may not be applied as one of the upper division courses for the major.

The Major

Required: Seven Mathematics Department courses, including Mathematics 115A, 151A, 164, 170A and 170B or Statistics 100A and 100B or 110A and 110B, and two courses from Mathematics 113, 151B, 171, Statistics 100C, M120A; six outside courses, including Economics 101, 102, 147A, 160, and two courses from Economics 145 through 199, English Composition 131A through 131D, Management 130A, 130B, 190.

Management/Accounting Plan

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, Program in Computing 10A, Management 1A, 1B.

The Major

Required: Seven Mathematics Department courses, including Mathematics 115A, 131A, 164, 170A or Statistics 100A or 110A, Mathematics 170B or Statistics 100B or 110B, and two courses from Mathematics 110A through 199 and Statistics 100C; seven management courses, including Management 120A, 120B, 122, 140, 212A, 212B, and one additional course from 108 through 190.

Medical and Life Sciences Plan

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, Program in Computing 10A, Chemistry and Biochemistry 20A, 20B, 20L, 30, 30L, Life Sciences 1, 2, 3, 4, Physics 1A, 1B.

The Major

Required: Seven Mathematics Department courses, including Mathematics 115A, 135A, 151A, 170A, 170B, and two courses from 110A through 199 and Statistics 100B through M120B; six outside courses, including Physiological Science 111A, 111B, and 111C or M180A, M180B, and M180C, and three courses from Biomathematics 110, Computer Science M196B, Physiological Science C100, and C135 or Neuroscience 103 (appropriate courses from other departments may be substituted for some of the courses provided departmental consent is given before such courses are taken).

Operations Research Plan

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, Economics 11, 100, Management 1A, Program in Computing 10A.

The Major

Required: Seven Mathematics Department courses, including Mathematics 115A, 131A, 151A, 151B, 170A or Statistics 100A or 110A, Statistics 100B or 110B, and one course from Mathematics 110A, 113, 117, 164, 167, 170B, 171, Statistics 100C; six outside courses, including Economics 101, Management 140, 212A, 212B, and two courses from Management 201A, 203A, 210A, 210B, 210C, 211A, 213A, 213C, 217A, 217B, 240B, 240C.

General Mathematics B.S.

The General Mathematics major is designed primarily for students planning to teach mathematics at the high school level. It provides exposure to a broad range of mathematical topics, especially those appropriate for the prospective teacher. Students planning to pursue graduate studies in mathematics or related fields are encouraged to enter the Mathematics, Applied Mathematics, or Mathematics of Computation major.

Preparation for the Major

Required: Mathematics 31A, 31B, 32A, 32B, 33A, 33B, 61, Program in Computing 10A, and three courses from the Physics 1 or 6 sequence, Chemistry and Biochemistry 20A, 20B, or Program in Computing 10B, 10C, 30, 60. Each course must be passed with a minimum grade of C-, and students must have a minimum overall grade-point average of 2.0 for the courses.

Transfer Students

To be admitted as General Mathematics majors, transfer students with 90 or more units must complete the following introductory courses prior to admission to UCLA: two years of calculus for majors, one discrete structures course, one C ++ programming course, and three courses from calculus-based physics, general chemistry for majors, and computing.

The Major

Required: Mathematics 110A or 117, 115A, 120A or 123, 170A or Statistics 100A or 110A, one course from 131A through 136, one course from 142 through 167, and six elective courses from 106 through 199, 370A, 370B, and Statistics 100B through M120B.

Honors

Honors Courses

The department offers a lower division honors sequence in calculus and upper division honors sequences in algebra and analysis. The sequences are intended for students (not necessarily mathematics majors) who desire a broad, comprehensive introduction to these topics.

Honors Program

Students majoring in Mathematics, Applied Mathematics, and Mathematics of Computation who wish to graduate with departmental honors should apply for admission to the honors program in the Student Services Office. They may apply any time after completing four courses from the calculus sequence or from upper division mathematics courses with an overall grade-point average of 3.6 or better. The program entails taking a specified sequence of courses as part of the major requirements, completing an approved seminar offered by the Mathematics Department or submitting an original research project, and earning an overall GPA of at least 3.6 in approved upper division and graduate mathematics courses.

Students completing the program are awarded honors at graduation; if they demonstrate exceptional achievement (i.e., at least a 3.8 GPA in upper division mathematics courses taken for the major), they are awarded highest honors. Consult the department for further information.

Computing Specialization

Majors in Mathematics, Applied Mathematics, Mathematics/Applied Science, or General Mathematics may select a specialization in Computing by (1) satisfying all the requirements for a bachelor's degree in the specified major and (2) completing Mathematics 61 or 113, Program in Computing 10A, 10B, two courses from 10C, 15, 20, 30, 40, 60, and at least two courses from Mathematics 149 through 159, with a minimum grade of C- in each course and a combined grade-point average of at least 2.0. Students must petition for admission to this program and are advised to do so after they complete Program in Computing 10B (petitions should be filed in the Student Services Office). Students graduate with a bachelor's degree in their major and a specialization in Computing.

Subject Matter Preparation Program for Single Subject Credential in Mathematics

Students interested in obtaining a single subject secondary school credential in mathematics should consult with a departmental counselor regarding the requirements for a waiver from the Mathematics Single Subject Assessment Test (SSAT) and the Praxis Examination, both of which are required by the California Commission on Teacher Credentialing. Students should meet with a departmental counselor as early in their undergraduate careers as possible because the program does require additional courses beyond the major requirements. For additional information on teaching credential requirements, consult the Department of Education at (310) 825-8328.

Mathematics Minor

The Mathematics minor is designed to provide students with the opportunity to widen their background and general comprehension of the role of mathematics in various disciplines.

To enter the minor, students must have an overall grade-point average of 2.0 or better and meet with the undergraduate mathematics adviser in the Student Services Office, 6356 Math Sciences.

Required Lower Division Courses (12 units): Mathematics 32A, 33A, 33B.

Required Upper Division Courses (20 units): At least five courses (20 units) selected from Mathematics 106 through 199.

All minor courses must be taken for a letter grade, with an overall grade-point average of 2.0 or better. Successful completion of the minor is indicated on the transcript and diploma.

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