Calculus at UT Austin
UT Austin offers three parallel calculus sequences:
two-course accelerated sequence | three-course standard sequence | three-course science sequence |
M 408C Differential & Integral Calculus | M 408K Differential Calculus | M 408N Differential Calculus for Science |
| | ↓ | ↓ |
| ↓ | M 408L Integral Calculus | M 408S Integral Calculus for Science |
| | ↓ | ↓ |
M 408D Sequences, Series, & Multivariable Calculus | M 408M Multivariable Calculus |
Accelerated Sequence
M 408C/408D are fast-paced courses that cover, in two semesters, the topics of a typical three-semester sequence. The two-course sequence is an unusual format, and course-for-course equivalents are offered at only a few institutions in Texas:
(*508C & 508D are 5-hour versions of 408C & 408D)
| course | title | credit hours | UT evaluation |
| Angelo State University |
| MATH 2513 | Calculus I | 5 | M 508C* |
| MATH 3514 | Calculus II | 5 | M 508D* |
| Collin College |
| MATH 2417 | Accelerated Calculus I | 4 | M 408C |
| MATH 2419 | Accelerated Calculus II | 4 | M 408D |
| University of Houston (main campus) |
| MATH 1450 | Accelerated Calculus I | 4 | M 408C |
| MATH 1451 | Accelerated Calculus II | 4 | M 408D |
| UT Dallas |
| MATH 2417 | Calculus I | 4 | M 408C |
| MATH 2419 | Calculus II | 4 | M 408D |
In the Texas Common Course Numbering (TCCN) system MATH 2417/2419 correspond to M 408C/408D.
For out-transfer purposes (from UT Austin to other institutions), credit for M 408C/408D should be equated with completion of a traditional three-course differential/integral/multivariable calculus sequence.
Standard Sequence
M 408K/408L/408M are structured more traditionally than 408C/408D. Except for students in the College of Natural Sciences, virtually all calculus courses from other institutions transfer as, or as variants of, 408K/408L/408M.
M 408K/408L/408M normally carry four semester credit hours each, but the first digit of a transfer evaluation may be modified (e.g. 308K or 508K) to reflect three or five semester hours earned at the original institution. Such transfer credit is functionally identical to UT Austin's four-hour courses for degree and prerequisite purposes.
To cover topics comparable to those in 408C, two courses equivalent to 408K and 408L must be taken; to cover topics comparable to those in 408D, two courses equivalent to 408L and 408M must be taken.
In the TCCN system MATH 2413/2414/2415 correspond to M 408K/408L/408M.
Science Sequence
M 408N/408S are Calculus I & II courses reserved for students in UT Austin's College of Natural Sciences. The courses are interchangeable with 408K/408L for degree and prerequisite purposes. Both pairs, 408N/408S and 408K/408L, lead to 408M.
Students classified as Natural Science majors at the time coursework transfers receive M 408N/408S credit in lieu of 408K/408L.
Transfer credit for M 408K/408L automatically substitutes for 408N/408S in Natural Science degrees, and 408N/408S transfer credit substitutes for 408K/408L in non-science degrees. In both circumstances the substitution is performed within the student's degree audit, and the transfer credit evaluation remains unchanged.
M 408N/408S normally carry four semester credit hours each, but the first digit of a transfer evaluation may be modified (e.g. 308N or 508N) to reflect three or five semester hours earned at the original institution. Such transfer credit is functionally identical to UT Austin's four-hour courses for degree and prerequisite purposes.
In the TCCN system MATH 2413/2414 correspond to M 408N/408S as well as 408K/408L.
Business/Economics Sequence (discontinued)
UT Austin's retired business/economics calculus sequence, M 403K/403L, was last taught in residence during the fall semester 2002. Students pursuing business or economics degrees are now expected to select coursework from the 408C/408D or 408K/408L/408M sequences.
For Economics, M 408C/408D, 408K/408L/408M, or equivalent credit is required. The discontinued 403K/403L sequence or equivalent transfer credit is not applicable toward the Economics major. Moreover, 403K/403L cannot be used as the mathematics prerequisite for ECO 420K, a required course for all Economics students.
For Business, M 408K/408L or equivalent credit is required in all majors; the Engineering Route to Business major further requires 408M or equivalent transfer credit. (The accelerated 408C/408D sequence applies in all Business majors, but equivalents are uncommon at other institutions.) Prospective business transfer students should take the first two (Differential & Integral) courses of a normal, non-business calculus sequence; Engineering Route to Business majors should additionally take a third-semester (Multivariable) course. Completion of two calculus courses comparable to M 408K/408L, 408C/408D, or 403K/403L is required for transfer admission consideration in UT's McCombs School of Business.
Although 403K/403L are retired, the course numbers are still used for transfer credit and the completed sequence satisfies the BBA calculus requirement, except in the Engineering Route to Business major. Students with transfer credit for a single business calculus course (303K or 403K) are assessed for readiness to undertake additional calculus; typical options are to enroll in 403L through University Extension or its equivalent (MATH 1476) at Austin Community College.
In the TCCN system MATH 1325 or 1425 transfer as 303K or 403K (three- or four-hour version). There is no equivalent TCCN designation for 403L, and only a few institutions offer a second business calculus course:
(*303L is a 3-hour version of 403L)
| course | title | credit hours | UT evaluation |
| Austin Community College |
| MATH 1476 | Business Calculus & Applications II | 4 | M 403L |
| Collin College |
| MATH 1376 | Calculus for Business & Economics II | 3 | M 303L* |
| Dallas County Community College District |
| MATH 1370 | Business Calculus & Applications II | 3 | M 303L* |
| Lamar University |
| MTH 237 | Calculus II | 3 | M 303L* |
| Rice University |
| MATH 112 | Calculus & Its Applications | 3 | M 303L* |
| UT Dallas |
| MATH 1326 | Applied Calculus II | 3 | M 303L* |
Four-Course Calculus Sequences
While UT Austin teaches calculus in a two-course sequence (M 408C/408D), and other institutions typically offer a slower-paced three-course sequence (comparable to UT's M 408K/408L/408M), calculus is sometimes found in a four-course format.
Such coursework does not readily fit in UT's instructional patterns for calculus and, to assign meaningful transfer evaluations, UT course numbers must be modified almost beyond recognition. The four-course pattern is much less common today than in the past, and only one institution in Texas still offers such a sequence:
| course | title | credit hours | UT evaluation |
| East Texas Baptist University |
| MATH 2301 | Calculus & Analytic Geometry I | 3 | M 308K |
| MATH 2302 | Calculus & Analytic Geometry II | 3 | M 608LA |
| MATH 3303 | Calculus & Analytic Geometry III | 3 | M 608LB |
| MATH 3304 | Calculus & Analytic Geometry IV | 3 | M 308M |
These evaluations are valid UT Austin course taxonomy, but are so different from UT's normal course numbers they can puzzle not only students but advisors and faculty.
To accommodate four-course calculus sequences, one of the three UT standard sequence numbers must be modified in credit value (e.g. M 408L becomes 608L) and halved (608L becomes 608LA and 608LB), to create a fourth course number and convey that topics of the comparable UT course span two semesters. Other courses in the sequence typically are also assigned numbers with modified credit values (e.g. 408K and 408M become 308K and 308M).
In the TCCN system MATH 2316 is added to 2313/2314/2315 to accommodate a four-course treatment of calculus.
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Other Transfer Issues
More Transfer Credit Info
- Our Transfer Guides for Austin Community College and other Texas community colleges recommend coursework prospective transfer students should take to apply toward specific UT Austin degree plans.
- The Automated Transfer Equivalency (ATE) system provides interactive access to our database of more than 250,000 transfer credit evaluations for current and past courses at universities and community colleges throughout Texas.
- The Interactive Degree Audit (IDA) system enables prospective transfer students and UT students studying away from UT to estimate the degree applicability of coursework taken at other institutions.
- UT Austin's transfer credit policies are published in the General Information catalog.
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