Taking Calculus III and Real Analysis During Same Semester

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SUMMARY

Taking Calculus III (MATH240) and Intro to Real Analysis (MATH301) simultaneously is not advisable for students with significant time commitments, such as working over 40 hours a week and managing family responsibilities. The Real Analysis course delves into the theoretical aspects of calculus, which may complicate the learning process for students still grasping the fundamentals of multivariable calculus. Many contributors recommend prioritizing Calculus III first to ensure a solid foundation before tackling the more rigorous Real Analysis course.

PREREQUISITES
  • Understanding of multivariable calculus concepts from MATH240
  • Familiarity with proof-based mathematics
  • Basic knowledge of linear algebra
  • Time management skills for balancing coursework with work and family
NEXT STEPS
  • Consult with the Real Analysis professor for tailored advice
  • Review the syllabus and course materials for MATH240 and MATH301
  • Explore online resources for multivariable calculus and real analysis
  • Consider time management strategies for balancing coursework and personal commitments
USEFUL FOR

Students considering advanced mathematics courses, particularly those balancing work and family obligations, as well as educators advising students on course loads in mathematics programs.

Cod
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Is it wise to take Calculus III and Intro to Real Analysis during the same semester? Or should I complete Calculus III and take Intro to Real Analysis afterwards? I ask because I do not want to stretch myself too thin, because I work over forty hours per week and have a family. If it makes any difference, I earned an 'A' in Calc I & II and will likely earn a 'B' (maybe 'A', depending on final exam in linear algebra; therefore, I have all the pre-reqs for both. I included the course descriptions below:

MATH240 Calculus III: An introduction to multivariable calculus. Exposition covers vectors and vector-valued functions; partial derivatives and applications of partial derivatives (such as tangent planes and Lagrangian multipliers); multiple integrals; volume; surface area; and the classical theorems of Green, Stokes, and Gauss.

MATH301 Intro to Real Analysis: An approach to real analysis. Topics include sequences and series of numbers, continuity and differentiability of real-valued functions of one variable, the Riemann integral, sequences of functions, and power series. Discussion also covers the functions of several variables, including partial derivatives, multiple integrals, line and surface integrals, and the implicit-function theorem.

Any advice / guidance is greatly appreciated.

Thanks.
 
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Sounds like it would be rough. The Real Analysis course is going to cover the in depth theory behind what is covered in Calc III and you'll still being trying to learn Calc III at just the basic level. I'd hold off on Real Analysis.

Why don't you ask the Real Analysis professor their opinion?
 
Real Analysis will be looking at the deeper theory behind what you have learned in Calc II. There's no problem with taking Real Analysis without having first taken Calc III prerequisite knowledge wise, but, I think that if you are trying to work 40 hours a week, and spend time with your family, you may be better served by taking just the Calc III class, since a Real Analysis class is typically quite a bit of work, since it often serves as an introduction to proof based mathematics courses.
 
Thanks for the words.

ConfusedinMA, the professor for the Real Analysis course has not been "named" yet; however, I took your advice and posed the question to my linear algebra instructor. I'm hoping he'll get back to me in the next day or two.

Jeffasinger, the reason I'm trying to take both courses, is because I may be getting out of the Armed Forces soon and I would have a lot of trouble paying for college out-of-pocket. So the goal right now is to finish my undergrad before seperating, since the government pays $4500 per year of my tuition.
 
Cod,
Its entirely possible to take both, I was just trying to point out that it would probably be difficult to take both given your schedule constraints that you mentioned. If you're willing to have a difficult semester, then taking both is definitely something to consider.
 
Since I take most classes online, MATH301 (Real Analysis) is rarely offered online. So I'd like to take advantage of the chance. I may wait to take Calculus III since its offered pretty routinely online.

Thanks again for all the advice.
 
I think it is a very heavy load to take any two substantive math classes at once. Those look as if they will overlap a bit though, in the area of path and surface integrals at least.

And working 40 hours a week??! and a family?? chheeess...

you do what you have to do. reminds of my grad school days when i got up at 6:30 in the morning, ran 4 miles, then went off to class and to teach. then came back and read to my kids, put them to bed and then studied until 11 or so.

but i didn't work 40 hours too.
 
Good advice mathwonk. I think I've decided I'm just going to take Real Analysis and another major course (CS).
 

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