# Calc III and diff equations or LA

• kinof
In summary, taking calc III, Linear Algebra, and Differential Equations together will give you a strong foundation in the subject.
kinof
This summer I plan on taking calc II at my local community college, and next semester I will definitely be taking calc III, intro to computer science, and probably a science course (physics I or chemistry). This leaves a spot open for a math course (I am planning on majoring in math), which will be most likely either linear algebra or differential equations.

Does anyone here have any experience taking these classes together? Does it make more sense to take one combination or anther? Whichever I do not take I will take during a condensed winter session.

calc III:
Vectors, operations on vectors, velocity and acceleration, partial derivatives, directional derivatives, optimization of functions of two or more variables, integration over two and three dimensional regions, line integrals, Green's Theorem. Includes use of the computer package, Maple, to perform symbolic, numerical and graphical analysis.

Differential Equations:
Solutions and applications of ordinary differential equations as well as systems. Considers initial value problems and boundary value problems. Topics include Laplace transform, the phase plane, series solutions and partial differential equations. Includes use of the computer package Maple.

Linear Algebra:
Systems of linear equations, matrix algebra and determinants. Vector spaces, linear dependence and independence, basis and dimension. Linear transformations, similarity transformations and diagonalization problems. Inner product spaces and least squares approximation. Emphasizes theory and application to other mathematics areas. Includes computer use for analysis and solution of linear algebra problems.

Calc III + Linear Algebra. LA compliments calc III nicely and will help with systems of DEs.

I took all of them in the same semester. I found linear algebra to be the most useful and fun. Linear algebra will be used in both Calc III and Differential Equations. I'd say take linear algebra.

Yea you definitely HAVE to take linear algebra,

I took Calc III at the same time as an electro dynamics course and they both ran really well together so you should probably consider taking that class as well,

Make sure the LA course will transfer. My community college had a course on LA that was a 2000 series class that would not transfer and was basically just matrix algebra. You are probably better off learning that yourself if that's the case. A good bit of matrix algebra will help you in calculus III though, so it's worth learning soon.

At my community college LA/Diff Eq is one class put together with calc III as a prerequisite

Take LA. It will be useful for calcIII and diffy eq.

Take LA. I found it helpful in DEs as well as in multivariable. It's really a good subject to have in your mathematical toolkit.

I would say take all 3. That way you'd have the majority of the computational stuff out of the way and you could move into the fun stuff starting your second semester. But if you can only take one, I'd say LA since LA concepts often pop-up in Diff Eq (although most professors won't assume knowledge of them).

At my school, Calc III is a prerequisite for Differential Equations, and they suggest that you take Linear Algebra first as well. That said, I don't know what Linear Algebra is like at the school where you'll take it, but it is pretty challenging at my college (because it's our transitional course with a first exposure to proofs) and I wouldn't have wanted to combine it with another math class or too many hard classes.

## What is the difference between Calculus III and Differential Equations?

Calculus III is a continuation of Calculus II, focusing on multivariable calculus and vector analysis. Differential Equations is a separate branch of mathematics that deals with the study of mathematical equations involving derivatives and their applications.

## What are some practical applications of Calculus III and Differential Equations?

Calculus III is used in fields such as physics, engineering, and economics to model and analyze systems with multiple variables. Differential Equations are used to model and understand various phenomena in fields such as physics, engineering, biology, and economics.

## What is Linear Algebra and how does it relate to Calculus III and Differential Equations?

Linear Algebra is a branch of mathematics that deals with the study of linear equations, matrices, and vector spaces. It is closely related to Calculus III and Differential Equations as it provides a powerful tool for solving systems of equations and understanding the behavior of functions in multiple dimensions.

## What are some common techniques used in Calculus III and Differential Equations?

Some common techniques used in Calculus III include partial derivatives, multiple integrals, and vector calculus. In Differential Equations, common techniques include separation of variables, Laplace transforms, and numerical methods for solving differential equations.

## How can I prepare for a course in Calculus III and Differential Equations?

To prepare for a course in Calculus III and Differential Equations, it is important to have a strong foundation in single-variable calculus and basic linear algebra. It is also helpful to review trigonometry and algebra. Additionally, practicing with problems and concepts from previous courses can help build a solid understanding of the material.

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