Comparing Calculus ABCD to 1,2,3: What's the Difference and Do I Need Both?

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SUMMARY

The discussion compares UCLA's calculus sequence (Calculus ABCD) with the traditional calculus sequence (Calculus 1, 2, 3). It confirms that completing Calculus ABCD allows students to bypass Calculus 1, 2, and 3, as it includes advanced topics such as convergent and divergent series, power series, and 3D vector operations. Additionally, UCLA's sequence integrates linear algebra in course 33A and introduces differential equations in course 33B, making it a comprehensive alternative to the standard curriculum.

PREREQUISITES
  • Understanding of convergent and divergent series
  • Familiarity with power series
  • Knowledge of 3D vector operations (Div, Grad, Curl)
  • Basic concepts of linear algebra
NEXT STEPS
  • Research UCLA's Calculus 31A/B, 32A/B, and 33A/B course syllabi
  • Explore advanced topics in 3D vector calculus
  • Study the applications of linear algebra in calculus
  • Investigate the differences between differential equations and series solutions
USEFUL FOR

Students considering advanced calculus courses, educators comparing curriculum structures, and anyone interested in the integration of linear algebra with calculus.

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Im currently taking night courses and all they offer is calculus ABCD. I just finished calc C and the course covered convergent and divergent series, power series, vectors in 3d, and polar coordinates. I was wondering how ABCD compare to 1,2,3? If I complete ABCD does that mean i don't need to take calc 1,2,3?
 
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You could start at Calc 3. That's where you get your 3d vector operators Div Grad and Curl
 
just a fun fact:

UCLA's Calculus system is 6 semesters:

31A/B
32A/B
33A/B

versus

the typical calc 1,2,3 linear algebra, differential equations typical path for most colleges and universities
 
thrill3rnit3 said:
just a fun fact:

UCLA's Calculus system is 6 semesters:

31A/B
32A/B
33A/B

versus

the typical calc 1,2,3 linear algebra, differential equations typical path for most colleges and universities

Is linear algebra covered in their calculus sequence?
 
qntty said:
Is linear algebra covered in their calculus sequence?

yes.

33A is linear algebra, and 33B is intro to diff equations

so I guess their sequence is just like calc abcd + those two classes.
 

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