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Stochastic13
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I'm taking calculus for scientists and engineers and was wondering how much harder are upper division courses like partial differential equations, ordinary differential equations, and complex analysis than calculus?
zif. said:I have only completed first year, but I have asked graduating math majors what they thought the hardest class they took was and almost all of them say, "Calc II, " without hesitation.
Then they didn't take any hard upper division courses, what kind of maths did they study? Most math majors don't take a course on PDE's and there is no calculus course which can be harder than a good course on PDE's.zif. said:I have only completed first year, but I have asked graduating math majors what they thought the hardest class they took was and almost all of them say, "Calc II, " without hesitation.
I have only completed first year, but I have asked graduating math majors what they thought the hardest class they took was and almost all of them say, "Calc II, " without hesitation.
Stochastic13 said:I'm taking calculus for scientists and engineers and was wondering how much harder are upper division courses like partial differential equations, ordinary differential equations, and complex analysis than calculus?
Stochastic13 said:I'm taking calculus for scientists and engineers and was wondering how much harder are upper division courses like partial differential equations, ordinary differential equations, and complex analysis than calculus?
ahsanxr said:^ That's why you need to learn how to derive, or at least see the derivation once.
Speaking of math classes, would you guys say going into an Advanced Linear Algebra course with the only math courses under my belt being Elementary LA, Calc II-III and ODE's a good idea?
Chaostamer said:I think that depends on a few factors.
1. Which topics does the course cover?
2. Is it a proof-based course?
3. Was your Elementary Linear Algebra class at all proof-oriented?
ahsanxr said:1. From the website: Introduction to algebraic systems, including groups, rings, fields, vector spaces, and their general properties, including subsystems, quotient systems, and homomorphisms. Study of basic examples such as permutation groups, polynomial rings, groups, and rings of matrices. Additional topics may include applications to linear algebra and number theory.
2. I would imagine so.
3. For the most part, no. It was just one proof every other homework or so, and none on the exams.
Chaostamer said:Honestly, that sounds more like an abstract algebra course (which, in fairness, can motivate linear algebra). Personally, I'd recommend not taking the course until you've taken a proof course, as I imagine that class will be fairly abstract and very proof-centric. However, email the professor and see what they think. You might be fine.
ahsanxr said:Ahan, but the website lists only Elementary LA as the pre-requisite for this class. I don't want to mess around in easier classes which I can avoid, as my schedule is pretty packed with Physics and Math courses and I want to be able to take the most advanced ones possible.
VeeEight said:That course sounds like the book Elements of Modern Algebra by Gilbert. Maybe check it out and compare it with a standard 4th year algebra text in Dummit/Foote where you will go into more details of groups/rings/fields and then more advanced topics in algebra.
Stochastic13 said:...how much harder are upper division courses...
Honestly, I think you're overthinking this. If the only pre-requisite listed is what you've already done, then I don't see why you're hesitant to take the course. You can check with your advisor to make sure, but I'd say you're good to go. I mean, when they make the curriculum, they do look at other courses offered at the university and take them into account, so that it's a smooth transition.ahsanxr said:Ahan, but the website lists only Elementary LA as the pre-requisite for this class. I don't want to mess around in easier classes which I can avoid, as my schedule is pretty packed with Physics and Math courses and I want to be able to take the most advanced ones possible.
Upper division courses tend to be more difficult than calculus. These courses are typically more specialized and require a deeper understanding of the subject matter.
It depends on the individual and the specific course. Some upper division courses may be just as difficult or even easier than calculus, while others may be much more challenging.
Again, this can vary depending on the course and the instructor. However, in general, upper division courses may have more reading, assignments, and projects compared to calculus.
No, it is important to remember that upper division courses cover a wide range of subjects and may have varying levels of difficulty. Some may be easier, while others may be more challenging.
One way to prepare is to review and solidify your understanding of the fundamental concepts in calculus. It is also helpful to approach each upper division course with a positive attitude, good study habits, and a willingness to seek help when needed.