Skip to Main Content

MATH-BS - Mathematics (BS)

Download as PDF

MathematicsUndergraduate MatriculatedBS - Bachelor of Science

Program Overview

The undergraduate program in Mathematics aims to provide students with a broad understanding of mathematics encompassing logical reasoning, generalization, abstraction, and formal proof. Courses in the program teach students to create, analyze, and interpret mathematical models and to communicate sound arguments based on mathematical reasoning and careful data analysis. The mathematics degree prepares students for careers in the tech and finance industries, graduate programs in quantitative fields, computational sciences, and the corporate sector.

Minimum Units in the Program

61

Minimum University Units

180
Completion requirement
8 Math courses at the 100-level and above (including Math 56) plus 25 more units of Math classes (usually fulfilled using single and multivariable calculus).
  • At least eight Math courses above course/course.

  • course may count toward the eight courses.

  • STATS 116 (No longer offered), STATS118 or STATS200 (at most one among STATS 118 and STATS 200, but not both, and neither if STATS 116 is being used), course, & course count as 100-level Math courses. No other classes outside the Math department can count in this way. There are no exceptions to this for any reason.

  • The following course do not count toward the Math Course Requirement:

    course, course, MATH193X, MATH197, MATH198, and MATH199 (MATH 190, MATH193X and MATH199 can count towards the Elective Course Requirement, see below.)

  • Up to 10 units of Single Variable Calculus can be used as part of the Math Course Requirement.

    • If you have not earned 10 units of single-variable calculus credit but have Math course credit that affirms your mastery of single-variable calculus, please email mathstudentservices@stanford.edu and specify what that course credit is (it must entail substantial use of both derivatives and integrals). Examples include Math 51 + either Math 52 or Math 53, Math 61CM, or Math 61DM + 63DM. To fulfill the Math Major, you will need to make up whatever portion of such 10 units you don’t have on your transcript, but can do so with approved electives.

  • Only Math 50/60CM/60DM series and first-year calculus can be double-counted toward any other major or minor (Note: The completion of 15 units from the multivariable math sequences is recommended but not a requirement, and at most 15 of such units can be used towards the major).

Completion requirement

Four elective courses are required for the Math major.

  • Math Department courses numbered Math 101 and above can be used as electives except for MATH193, MATH197, and MATH198

  • MATH190, MATH193X and MATH199 may only be counted toward electives, not toward the 57 Core units above.

  • In addition, there are approved out-of-department electives that can be used as electives (See list below).

Complete ANY of the following Courses:
  • 2119272
  • 2260061
  • 2204251
  • 2010472
  • 2242411
  • 2244931
  • 2115241
  • 1122841
  • 1122851
  • 1122861
  • 1122881
  • 1122901
  • 2138231
  • 1056641
  • 2085321
  • 2254531
  • 2085281
  • 2127631
  • 1056781
  • 1056821
  • 1056841
  • 1056871
  • 2148161
  • 2156861
  • 1057251
  • 1057301
  • 1209041
  • 2242591
  • 1057481
  • 1057501
  • 2224462
  • 2198851
  • 2170091
  • 2190451
  • 2117823
  • 1040962
  • 2171371
  • 2107621
  • 1057791
  • 2241661
  • 2136071
  • 1057881
  • 2145631
  • 2206711
  • 1058731
  • 1132501
  • 1132521
  • 1132571
  • 1132801
  • 1132811
  • 1406151
  • 1132921
  • 2041841
  • 1133291
  • 1133331
  • 2250931
  • 1133621
  • 2254771
  • 2131431
  • 1134001
  • 1134021
  • 1134041
  • 2215231
  • 2273941
  • 1040961
  • 1042551
  • 1042561
  • 2194892
  • 1042773
  • 2221541
  • 2104482
  • 1042771
  • 2253771
  • 2193641
  • 2173121
  • 1045201
  • 1045211
  • 2172851
  • 1045511
  • 1042772
  • 2193642
  • 1045421
  • 1045431
  • 1045441
  • 2162041
  • 2211231
  • 2225081
  • 2259461
  • 2045041
  • 1045921
  • 1045831
  • 2045141
  • 2202401
  • 1220321
  • 1222421
    OR
    1222422
  • 1222441
  • 1222451
  • 1222651
    OR
    1222653
  • 1222481
  • 2192031
  • 1226171
  • 1226191
  • 1226241
  • 1226431
  • 1226511
  • 1226461
  • 1226691
  • 2227141
  • 2016051
  • 1226771
  • 2196241
  • 2002601
  • 2002611
  • 1226791
  • 1226801
  • 1226821
  • 1226831
  • 2002641
  • 1226891
  • 1226901
  • 1226941
  • 1226951
  • 1226961
  • 1226772
  • 2174381
  • 1227141
  • 1227151
  • 1227181
  • 1227191
  • 2002642
  • 2114221
  • 2114231
  • 2137592
  • 1226892
  • 1226902
  • 1227311
  • 2204462
  • 2184401
  • 1227481
  • 2158791
  • 2158781
  • 1253961
  • 2254081
  • 2254091
  • 2010471
  • 2012081
  • 1254161
  • 1254201
  • 1254211
  • 1254231
  • 1254241
  • 1254251
  • 1254311
  • 1254321
  • 1057502
  • 2022141
  • 1255552
  • 1254801
  • 1254911
  • 1254941
  • MUSIC 423: Limit of three units.

  • PHIL 151 & PHIL 152: This may count toward either the Math Course Requirement or Elective Course Requirement, but not both.

  • PHYSICS 41 and 61 are mandatory S/NC grading, so at most, one may be counted as a Math elective.

  • STATS 116 (No longer offered) and STATS 118 or STATS 200 (at most one, but not both, and neither if STATS 116 is being used) may count toward the Math Course Requirement or Elective Course Requirement, but not both.

Completion requirement
Complete at least 1 of the following Courses:
  • 2283091
  • 2272611

All majors, including transfer students, need to complete the WIM requirement.

The two course options for fulfilling WIM, Math 190 and Math 195, are each offered twice per year in Fall and in Winter.  Enrollment in each of these courses is limited to officially approved Math majors, and is done via an application process that begins near the end of the preceding Spring (all Math majors who have not fulfilled WIM will be contacted about applying in late Spring).  

Math 190 is a 3-unit class with background prerequisites in proof-based math (such as Math 113 or 115 with a grade of at least B)  and does not entail learning new mathematics, so it does not count as one of the eight 100-level classes toward the Math major but does count as an elective. It can be taken in the second year or later. 

Math 195 is a 4-unit class limited to senior Math majors only, and also fulfills the capstone requirement. This course entails learning new mathematics, and as such it does count as one of the eight 100-level classes toward the Math major.

Completion requirement

Mathematics majors have interests in many possible directions (e.g., applied math, algebra, geometry, probability, CS, finance, etc.). The capstone in Mathematics aims to ensure that each student takes part in some independent work or course experience in their area(s) of mathematical interest that exposes them to a culmination of the subject in these areas.  

Such experiences can expose a student to an underlying and more abstract unity among disparate methods, a body of ideas displaying the intellectual beauty of the subject, or a compelling application of abstract mathematical concepts and techniques to a real-world context. Using these goals as a guide, the capstone in Mathematics can be fulfilled by carrying out (at least) one of the following three options: 

Fulfill ANY of the following requirements:

Completion of the honors program.

Earn at least 6 credits from the following:
  • 1173691
OR
Complete at least 1 of the following Courses:
  • 2254691
  • 2101241
  • 1173321
  • 2069971
  • 2079161
  • 2170261
  • 2101931
  • 1222451
OR
Complete at least 1 of the following Courses:
  • 1173761
  • 1173771
  • 1173831
  • 1173841
  • 1173851
  • 2029461
  • 2029471
  • 2029481
  • 1173881
  • 1254842
OR
Complete ALL of the following Courses:
  • 2272611
Completion requirement

Honors students must complete the core program requirements for all Math majors; see Core Program Requirements (above).

Honors students must have a minimum GPA of 3.3 across all Math courses to apply to the program.

It is strongly recommended that either the Math 60CM or Math 60DM sequences be taken during the student's freshman year. This is a recommendation, not a requirement.

Fulfill ALL of the following requirements:
Complete ALL of the following Courses:
  • 1173071
  • 1173491

AND
Complete at least 1 of the following Courses:
  • 1173041
  • 1173301
  • 2226121
  • 1173321
III. 7 courses numbered Math 121 and above that are not being used for requirements I and II. This must include at least one course from the three areas below: Algebra, Analysis, and Geometry/Topology.
  • course does not count toward this requirement.

  • course does not count toward this requirement.

  • course does not count toward this requirement.

  • course and course may count toward this requirement.

  • One 3-unit course course may count toward this requirement with approval from the Director of Undergraduate Studies before the start of the course. Honors students must submit the request to the Student Services Officer two weeks before the beginning of the quarter for review. The criteria for approval include weekly homework graded by the instructor and topic coverage appropriate for Math honors.

Complete at least 1 of the following Courses:
  • 1173091
  • 2101241
  • 1173311
  • 1173361
  • 2069971
Complete at least 1 of the following Courses:
  • 1173041
  • 2254691
  • 2021881
  • 1173351
  • 2079161
  • 2089891
  • 2101931
  • 1173521
Complete at least 1 of the following Courses:
  • 1173301
  • 2226121
  • 1173321
  • 1173331
Recommended to complete at least 1 of the following Courses:
Earn at least 6 credits from the following:
  • 1173691
  • course must be taken over all three quarters for 2-3 units per quarter.

  • The 6 units of course is in addition to the Math Course Requirement and Elective Course Requirement for the Math major.

  • A complete draft of the honors thesis is due by the end of week 7 in Spring quarter. A final draft is due by 5pm on the last day of classes in Spring quarter.

Completion requirement
Fulfill ALL of the following requirements:
Complete ALL of the following Courses:
  • 1173041
    OR
    1173301
    OR
    2226121
    OR
    1173321
  • 1173071
  • 1173491
  • 1056821
  • 1056871

Subplan students must include the following courses in their program of study (which can count toward the both the Math Course Requirement and the Elective Course Requirement).

All subplan courses must be taken for a Letter grade.

Complete at least 2 of the following Courses:
  • 2183491
  • 2170341
  • 1172921
  • 2185381
    OR
    2185171
Complete at least 1 of the following Courses:
  • 2183511
  • 1173351
  • 1254842
  • 2254091
Complete at least 2 of the following Courses:
  • 1172961
  • 1173361
  • 2069971
  • 2079161
  • 1173431
  • 1173461
Complete at least 4 of the following Courses:
  • 2156861
  • 1040962
  • 2107621
  • 2215691
  • 1057791
  • 2241661
  • 2136071
  • 1057881
  • 2225471
  • 2145631
  • 2186001