Math 365 Β· 4 credits Β· NCCRS
Calculus 3
Self-paced and online: vectors in space, partial derivatives, multiple integrals and vector calculus.
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Math 3654 creditsNCCRS recommended
Calculus 3 vs Multivariable Calculus: the same course?
Usually, yes: Calculus 3 and Multivariable Calculus are two names for the course that follows single-variable calculus; some colleges call it Calculus of Several Variables or Calculus and Vector Analysis. UPI Study's Calculus 3 (Math 365) covers the standard multivariable topics, from vectors and partial derivatives to multiple integrals and Green's, Stokes' and the Divergence Theorem.
The same subject, another name
Multivariable Calculus
Also called Calculus of Several Variables or Calculus and Vector Analysis: the course after Calculus 1 and 2.
Names and numbers differ from college to college.
- Same course?
- Usually, yes
- Check
- Your college's description vs the syllabus
- Credit
- 4 semester hours (NCCRS)
What you learn
The topics from the Texas common course description of Calculus III, every one of them in Math 365.
The standard Calculus III topics
- Vectors and vector-valued functions
- Partial differentiation
- Lagrange multipliers
- Multiple integrals and Jacobians
- Line integrals and Green's Theorem
- Stokes' and the Divergence Theorem
Names colleges use
- Calculus III
- Multivariable Calculus
- Calculus of Several Variables
- Calculus and Vector Analysis
Side by side
| In Texas's Calculus III? | In Math 365 | |
|---|---|---|
| Vectors and vector-valued functions | Yes | Chapters 1 and 2 |
| Partial differentiation | Yes | Chapter 3, with the gradient |
| Lagrange multipliers | Yes | Chapter 4, optimization |
| Multiple integrals and Jacobians | Yes | Chapter 5 |
| Line integrals and Green's Theorem | Yes | Chapter 6, vector calculus |
| Stokes' and the Divergence Theorem | Yes | Chapter 7 |
Texas lists a 3-credit and a 4-credit Calculus III; UT Dallas calls it Calculus of Several Variables, Penn State Calculus and Vector Analysis, UC Berkeley Multivariable Calculus.
Which one do you need?
Math 365 likely matches if
- Your course is Calculus III, Multivariable Calculus or similar
- Its description lists partial derivatives and multiple integrals
- It follows Calculus I and II
Ask your registrar first if
- Your college's version also teaches matrices
- It is a different size, such as 3 credits
- You have not finished Calculus 2 yet
Questions, answered
Is Calculus 3 the same as Multivariable Calculus?
Usually, yes. They are two names for the calculus of several variables. Numbers and order differ, though: MIT's catalog lists its subject 18.02 as Calculus, while MIT OpenCourseWare calls the same subject Multivariable Calculus and “the second semester in the freshman calculus sequence”.
Is Calculus 3 the same as Vector Calculus?
Vector calculus is part of it: line and surface integrals, and Green's, Stokes' and the Divergence Theorem. In Math 365 that is chapters 6 and 7. Penn State names its course Calculus and Vector Analysis.
How many credits is Calculus 3?
It depends on the college: the Texas common course list has a 3-credit and a 4-credit version of Calculus III. NCCRS recommends 4 semester hours for UPI Study's Math 365.
Will my college accept Math 365?
ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities. Search your school in Find My College and ask your registrar which course Math 365 would count as.
Where these credits can go
ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities.
Plus many more partner colleges and ACE and NCCRS cooperating colleges.
Find My College →Keep exploring
- Calculus 3 course pageLessons and syllabus
- Calculus 3 for credit: every routeExams, colleges, online
Calculus 2 vs Calculus 3The course before- What comes after Calculus 3?The next math courses
Check your college first
ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities.
Sources (8)
- Texas Higher Education Coordinating Board: Lower-Division Academic Course Guide Manual (MATH 2415, 2318, 2320) https://reportcenter.highered.texas.gov/training-materials/lower-division-academic-course-guide-spring-21/
- UT Dallas: MATH 2415 Calculus of Several Variables https://catalog.utdallas.edu/2026/undergraduate/courses/math2415
- Penn State: MATH courses (MATH 230 Calculus and Vector Analysis) https://bulletins.psu.edu/university-course-descriptions/undergraduate/math/
- UC Berkeley Mathematics: Math 53 Multivariable Calculus https://math.berkeley.edu/courses/overview/lowerdivcourses/math53
- MIT course catalog: Mathematics (18.02, 18.03, 18.06) https://catalog.mit.edu/subjects/18/
- MIT OpenCourseWare: 18.02 Multivariable Calculus https://ocw.mit.edu/courses/18-02-multivariable-calculus-fall-2007/
- NCCRS: UPI Study, Inc. (every course and its credit recommendation) https://www.nationalccrs.org/organizations/upi-study-inc
- UPI Study: Calculus 3 syllabus (PDF) https://www.upistudy.com/syllabus/calculus-3.pdf
- NCCRS: UPI Study's credit recommendations https://www.nationalccrs.org/organizations/upi-study-inc
UPI Study facts are from our course catalog, syllabi and course rules.