Math 265 Β· 4 credits Β· NCCRS
Calculus 2
Advanced integration, differential equations, sequences and series, and parametric and polar curves.
Math 265 vs Math 3654 credits eachNCCRS recommended
Calculus 2 vs Calculus 3: what changes, and which is harder
Calculus 2 finishes single-variable calculus; Calculus 3 moves to several variables, with vectors in space and multiple integrals. Take Calculus 2 first: the Calculus 3 syllabus lists Calculus 1 and 2 as prerequisites.
Math 365 Β· 4 credits Β· NCCRS
Calculus 3
Multivariable calculus: vectors in space, partial derivatives, multiple integrals and vector calculus.
- Take first
- Calculus 2
- Which is harder?
- It depends: series or 3-D thinking
- Credit
- 4 semester hours each
What you learn
From the two syllabi: what only one course covers, and where they meet.
Only in Calculus 2
- Advanced integration
- Improper integrals
- Differential equations
- Sequences and series
- Taylor series
- Parametric and polar curves
In both
- Vectors: Calculus 2 ends with them, Calculus 3 starts there
Only in Calculus 3
- Vectors in space
- Partial derivatives
- Lagrange multipliers
- Double and triple integrals
- Line and surface integrals
- Green's, Stokes' and Divergence
Side by side
| Calculus 2 | Calculus 3 | |
|---|---|---|
| Course code | Math 265 | Math 365 |
| Chapters | 10 chapters | 7 chapters |
| Instructional hours | 62 hours | 46 hours |
| Starts with | Advanced integration | Vectors and the geometry of space |
| Prerequisites | None listed (continues Calculus 1) | Calculus 1 and 2 (Math 165, Math 265) |
| Final exam | 100 multiple-choice questions | |
| Format | Self-paced and online, no set dates | |
Both are self-paced: quizzes and the assignment are open-book, the final is proctored, and 70 or higher passes.
Which one should you take?
Calculus 2 comes first.
Take Calculus 2 if
- You have passed Calculus 1
- Your program lists Calculus II
- You need series or differential equations
Take Calculus 3 if
- You have passed Calculus 1 and 2
- Your program lists Calculus III or Multivariable Calculus
- You need partial derivatives or vector calculus
Questions, answered
Is Calculus 3 harder than Calculus 2?
It depends on what you find hard. Calculus 2 asks for many techniques, such as integration methods and convergence tests for series; Calculus 3 asks you to picture curves, surfaces and vector fields in three dimensions. The syllabi list 62 instructional hours for Calculus 2 and 46 for Calculus 3.
Can I take Calculus 3 without Calculus 2?
The Calculus 3 syllabus lists Math 165: Calculus 1 and Math 265: Calculus 2 (or equivalent) as prerequisites, so take Calculus 2 first, here or at another college. You can try free Calculus 2 lessons to see where you stand.
Will my college accept these credits?
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 courses Math 265 and Math 365 would count as.
Keep exploring
- Free Calculus 2 lessonsWatch before you enroll
Calculus 1 vs Calculus 2What comes before- CLEP Calculus vs a full courseFor Calculus 1
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 (3)
- NCCRS: UPI Study, Inc. (every course and its credit recommendation) https://www.nationalccrs.org/organizations/upi-study-inc · checked 21 October 2026
- UPI Study: Calculus 2 syllabus (PDF) https://www.upistudy.com/syllabus/calculus2.pdf · checked 21 October 2026
- UPI Study: Calculus 3 syllabus (PDF) https://www.upistudy.com/syllabus/calculus-3.pdf · checked 21 October 2026
UPI Study facts are from our course catalog, syllabi and course rules. CLEP and AP are registered trademarks of College Board, which is not connected with UPI Study.