# First-Year Academics: Science Core Subjects - Calculus

To fulfill the Calculus GIR, students either have AP credit, Advanced Standing Exam or Transfer Credit or take versions of 18.01 and 18.02 at MIT.

**18.01 Single variable calculus.**Standard version for majority of freshmen. High school algebra and trigonometry. Student may have a year or less of high school calculus and no AP credit. A score of 4 or 5 on the Calculus BC exam (any AP information will be in the student’s online Freshman Advising Folder) Passing both parts of MIT’s Advanced Standing Exam during Orientation week or Transfer Credit 18.01A “A” = accelerated Calculus sequence: ½ term review of 18.01. begin 18.02 in week 6. For students with 1 year of high school calculus. Knowledge of differentiation and elementary integration Score of 4 or 5 on the AB exam allows registering for 18.01A/18.02A Passing the first half of MIT’s Advanced Standing Exam during Orientation week**18.014 Calculus with proofs**: (offered Fall term only)One year of high school calculus, often eligible for 18.02 or accelerated 18.01A. Generally for potential math majors or those who like rigorous proofs and have strong interest and ability in mathematics. Usually has credit for 18.01 through score of 4 or 5 on the Calculus BC exam**18.02 Multi- variable calculus**: Standard version for majority of freshmen. Passing MIT’s Advanced Standing Exam during Orientation week or Transfer Credit 18.02A “A” = accelerated Calculus sequence: begins 18.02 in week 6. For students who successfully complete 18.01A in first half of fall term 18.01A**18.022 Calculus with theory:**Additional material in geometry, vector fields, and linear algebra. More theoretical in approach. 18.01**18.024 Calculus with theory**: (offered Spring only) Continues 18.014. Parallel to 18.02, but at a deeper level

## Next steps in Math for freshmen who have fulfilled 18.01 and 18.02 requirements

Many freshmen come in with a combination of AP and transfer credits to have fulfilled 18.01 and 18.02. The next subjects in the Math sequence are:

**18.03 Differential Equations:**(18.02 is a co-requisite; students may take both 18.02 and 18.03 in same term)- 55% of MIT undergraduates will take 18.03 Differential Equations as second semester freshmen. 18.02 is a co-requisite; students may take both 18.02 and 18.03 in the same term. Another 25% take 18.03 as first semester sophomores.
**18.034:**(Spring only; prerequisite 18.014 or permission of instructor) continues the Calculus with Proof sequence.**18.06 Linear Algebra:**(pre-req=18.02). Many students take 18.06 Linear Algebra (prerequisite 18.02) at some point, and more wish they had.**18.05 Probability and Statistics**(Spring only; prerequisite 18.01) is newly revised and highly recommended.

### Advanced subjects

Quite a few freshmen are coming into MIT with significant math background and may wish to try a higher-level subject, e.g., 18.100B, 18.700, or 18.701. Some are even more advanced. But not all are ready for this rigor, especially when combined with 3 other MIT subjects. Therefore, please do not allow a first semester freshmen to enroll in one of the higher-level math subjects without consulting with someone in Mathematics. Victor Guilleman, x3-4983, transfer credit examiner, Mike Artin, x3-3689, specifically for 18.701 questions, Barbara Peskin, x3-2416, 2-285, Math academic administrator, and/or Haynes Miller, x3-7569, Math education officer.