Mathematics (Course 18)
Bachelor of Science in Mathematics
General Institute Requirements (GIRs)
The General Institute Requirements include a Communication Requirement that is integrated into both the HASS Requirement and the requirements of each major; see details below.
| Summary of Subject Requirements | Subjects |
|---|---|
| Science Requirement | 6 |
| Humanities, Arts, and Social Sciences (HASS) Requirement; at least two of these subjects must be designated as communication-intensive (CI-H) to fulfill the Communication Requirement. | 8 |
| Restricted Electives in Science and Technology (REST) Requirement [one subject can be satisfied by 18.05, 18.600, or 6.3700; an additional REST may be taken as part of the Departmental Requirements] | 2 |
| Laboratory Requirement (12 units) | 1 |
| Total GIR Subjects Required for SB Degree | 17 |
| Physical Education Requirement | |
|---|---|
| Swimming requirement, plus four physical education courses for eight points. |
Departmental Program
Choose at least two subjects in the major that are designated as communication-intensive (CI-M) to fulfill the Communication Requirement.
| Required Subjects | Units | |
| Choose one subject from each of the areas: | ||
| Differential Equations | 12 | |
| Differential Equations | ||
| Introduction to Partial Differential Equations | ||
| Linear Partial Differential Equations: Analysis and Numerics | ||
| Linear Algebra 1 | 12 | |
| Linear Algebra | ||
| Linear Algebra and Optimization | ||
| Linear Algebra | ||
| Algebra I | ||
| Analysis | 12-15 | |
| Real Analysis | ||
| Real Analysis | ||
| Real Analysis | ||
| Real Analysis | ||
| Probability and Statistics | 12 | |
| Introduction to Probability and Statistics | ||
| Probability and Random Variables | ||
| Introduction to Probability | ||
| Advanced Mathematical Subject 1 | 12 | |
| Introduction to Numerical Analysis | ||
| Theory of Computation 2 | ||
| Design and Analysis of Algorithms 2 | ||
| Introduction to Mathematical Logic and Set Theory | ||
| Algebra I | ||
| Algebra II | ||
| Modern Algebra | ||
| Applied Abstract Algebra | ||
| Theory of Numbers | ||
| Introduction to Topology | ||
| Differential Geometry | ||
| Restricted Electives 3 | 72 | |
| Select six 12-unit subjects. Subjects without a Course 18 number may not be counted towards these six. | ||
| Units in Major 4 | 132-135 | |
| Unrestricted Electives | 60-72 | |
| Units in Major That Also Satisfy the GIRs | (12-24) | |
| Total Units Beyond the GIRs Required for SB Degree | 180-195 | |
The units for any subject that counts as one of the 17 GIR subjects cannot also be counted as units required beyond the GIRs.
| 1 | If 18.701 is used to fulfill the Linear Algebra requirement, another subject must be chosen to fulfill the Advanced Mathematical Subject requirement. |
| 2 | Subject has prerequisites outside of the program. |
| 3 | At least 7 of the 11 subjects for the major must be advanced Course 18 subjects (where n>=100) or n is 085, 090, C21, or C25. |
| 4 | At most, 36 units can be counted towards the requirement of another major. |
Communication-Intensive Subjects in the Major
| To satisfy the requirement that students take two CI-M subjects, students must select one of the following options: | ||
Option A | ||
Select two of the following: | ||
| Seminar in Analysis | ||
| Undergraduate Seminar in Discrete Mathematics | ||
| Undergraduate Seminar in Physical Mathematics | ||
| Seminar in Information Theory | ||
| Seminar in Theoretical Computer Science 4 | ||
| Seminar in Logic | ||
| Seminar In Probability Theory | ||
| Seminar in Algebra | ||
| Seminar in Number Theory | ||
| Project Laboratory in Mathematics | ||
| Seminar in Topology | ||
| Seminar in Geometry | ||
Option B | ||
Select one subject from Option A and one of the following: | ||
| Quantum Physics III | ||
| Mathematical Economic Modeling | ||
| Research and Communication in Economics: Topics, Methods, and Implementation | ||
| Real Analysis | ||
| Real Analysis | ||
| Principles of Discrete Applied Mathematics | ||