# is linear algebra harder than algebra 1

Hmm, I'm guessing the next responses will be more precise if I include the course descriptions. Linear Algebra from a textbook with traditional lectures can be challenging. Linear algebra is the study of linear systems of equations, vector spaces, and linear transformations.

Linear algebra is the opposite. Considering this, is Linear Algebra harder than algebra? However, there are a number of things that . 134.

All we did in abstract algebra was putting together formal definitions and proving stupid things, like the distributive law on set S or something like that.</p>. Which is harder algebra 1 or 2? As hard as linear algebra is, you become quite comfortable with calculus and its different operations once you are familiar with it.

A* (B*C) = (A*B)*C. A* (B+C) = A*B + A*C.

Linear Algebra from a textbook with traditional lectures can be challenging.

1. Students study tough subjects like multivariable and complex theorems.

. <p>abstract algebra is such a pain in the a55. Linear algebra is easier than elementary calculus. Some ability to do mathematical reasoning will also matter. it is unmotivated, and it will consist of manipulating matrices in seemingly arbitrary ways, and doing lots of seemingly meaningless numerical calculations, only to maybe get a bad grade because you made an arithmetic mistake.

So professor research is a must if you really want to know the difficulty beforehand.

It teaches linear algebra through short explanations and lots of exercises. Jul 15, 2012 #8 Benn 34 0 Think of it as an opportunity! July 20, 2017.

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Yes.

Is there a calculus 4? Therefore it is difficult to conclude "is linear algebra harder than calculus?" most definitely.

If you have a solid understanding of calc 1 and 2 then calc 3 should be doable.

Is algebra 2 or geometry harder?

Definitions of concepts such as eigenvectors would be omitted. Each branch of math is hard in it's own way. We believe that our curriculum in Linear Algebra in Distance Calculus @ Roger Williams University, based upon an experimentation model using . Linear Algebra: Linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues and inner-product spaces. Linear algebra is a part of abstract algebra .

Discrete Mathematics covers a variety of topics including truth tables, proofs (by contrapositive, by . Linear algebra is so hard because it is not very intuitive, it places a strong emphasis on rigorous proofs, and its concepts are very abstract and difficult to visualize.

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Then there is the general fear of the abstract. A field is the "nicest" structure for the common people, since in a field all of the arithmetic and algebra that you have learned since elementary school "works."

Linear algebra taught at colleges with a low acceptance rate tend to get through a lot of material quickly.

Algebra vs Calculus. <p>If your course is anything like mine . Linear algebra is ridiculously hard and it is made harder by bad teachers.

It merely deals with understanding basically what mathematics is and the working of mathematical proofs and definitions.

Abstract Algebra deals with various abstract structures such as groups, rings and fields.

The semester after Calc 2 and Linear Algebra would be the best time to take it because multivariable calculus builds up on concepts from both classes.</p>. However, linear algebra is much more than this.

How hard is linear algebra?

Is pre-algebra good for 8th grade?

Is Linear Algebra difficult? Linear algebra is central to almost all areas of mathematics. Linear Algebra is different than the math you're used to doing.

Linear Algebra Examples of the Curriculum. At these colleges, you will likely find the class to be more challenging and you'll have to spend more time studying. Geometry's level of difficulty depends on each student's strengths in math. Conceptually it's very hard, but the mechanics aren't hard. Linear Algebra is very different from any other math you will have encountered up to this point. Students are introduced to integers, fractions, square roots, step equations, linear equations and decimals and are taught how to solve basic equations using variables.

I loved Calc I and Calc III. If linear algebra were taught comparably to a cookbook calculus course, it would consist only of row reducing 2 by 2, or possibly 3 by 3, matrices.

Summary The debate over which is more difficult - algebra or calculus is a classic one.

Considering this, is Linear Algebra harder than algebra?

Linear algebra is taught in its second year and demands robust reasoning and analytical skills.

By understanding the theorems in linear algebra, all questions can be solved.

abstract algebra vs real analysis. Linear Algebra from a textbook with traditional lectures can be challenging. For example, some students thrive solving .

Linear Algebra was harder.

Linear algebra is the most important math skill in machine learning.

Linear Algebra is the study of vector spaces and linear mappings between those spaces. The problem is that linear algebrais is difficult.

Jan 13, 2010 at 17:20. 27 related questions found. Just like linear algebra and calculus, which are taught in high school, discrete math too, can easily be understood.

It is more the kind of math that actual mathematicians do. Is Linear Algebra A Hard Subject? Many students in traditional lecture courses do rate Linear Algebra as a more difficult course than Calculus I and Calculus II. Is algebra 2 or geometry harder? Apparently, the California community college system is considering allowing students in non-STEM majors to fulfill a math requirement by taking statistics, rather than algebra.

For example, some students thrive solving . 48.1%. And, that class is the prereq to 75% of all the upper level math classes.

27 related questions found.

Linear Algebra is very different from any other math you will have encountered up to this point.

Linear algebra taught at colleges with a low acceptance rate tend to get through a lot of material quickly.

We believe that our curriculum in Math 315 - Linear Algebra in Distance Calculus @ Roger Williams University, based upon an experimentation .

The equations of algebra 1 include only linear equations and quadratic equations.

Linear algebra is easy, most of a standard linear 1 class is vectors and matrices.

Linear Algebra by Klaus Jnich. Beside above, how important is linear algebra?

Useful for engineering and applied math fields.

The hard parts of linear algebra have been given new and different names, such as representation theory, invariant theory, quantum mechanics, functional analysis, Markov chains, C*-algebras, numerical methods, commutative algebra, and K-theory. It's a matter of emphasis, really.

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Linear algebra serves as a prerequisite for calculus. Here is mine. It's worth noting that, by thinking about matrix multiplication in terms of sequential linear transformations, it becomes quite easy to justify our standard rules of matrix multiplication.

Is linear algebra or calculus harder? At my undergrad University, the prereq for linear algebra is calculus 1. .

Originally Answered: Is linear algebra really as hard as everyone (if not, most people) says?

I thought linear algebra was fairly easy, but more abstract than calculus.

All exercises have hints and solutions at the end of the book.

Likely the version of the course called "linear algebra" is proof-based and gets deeper into the conceptual content, whereas "matrix theory" probably focuses on applications.

Those are full of mysteries and open problems.

Included as well is an example homework notebook completed by a student in the course, demonstrating how the homework notebooks become the "common blackboards" that the students and instructor both write on in their . Maria Scott Accountant 3 y Originally Answered: What are the main differentiations between Algebra 1 and Algebra 2?

Conceptually it's very hard, but the mechanics aren't hard.

Many students in traditional lecture courses do rate Linear Algebra as a more difficult course than Calculus I and Calculus II.

I hate all the unknowns of algebra, especially where more than just the X to find. First, algebra generates more student failure and attrition than almost anything else.

ISUClub May 1, 2010, 1:02am #1. Cubic equations and other higher-order equations are NOT a part of .

Full episode with Gilbert Strang (Nov 2019): https://www.youtube.com/watch?v=lEZPfmGCEk0New clips channel (Lex Clips): https://www.youtube.com/lexclipsOnce i.

Linear Algebra II (G30 Program): Lecture 1-1 Introduction & Vector spaces.

Only have done .

Calc 2 was harder.

Calculus 2 at Mason is dreadful. Linear algebra's pure mechanics are very basic, far easier than any other subject in calculus. Linear Algebra by Klaus Jnich.

Is Algebra 1 or 2 Harder? Many students in traditional lecture courses do rate Linear Algebra as a more difficult course than Calculus I and Calculus II. Abstract Algebra: Sets and mappings, groups and subgroups, homomorphisms and isomorphisms, permutations, rings .

Linear algebra is the opposite.

Geometry's level of difficulty depends on each student's strengths in math.

The answer is No, and there are many supporting arguments to this.

It's worth noting that, by thinking about matrix multiplication in terms of sequential linear transformations, it becomes quite easy to justify our standard rules of matrix multiplication.

It gets very abstract at the end (vector spaces, eigenvalues, basis dimensions etc) but overall I found it easier than a cal 2 class (cal 2 starts with integrals and typically ends with series, more specifically power series and Taylor and Mclaurin theorems).

anti_gravity June 17, 2008, 2:19am #6.

All exercises have hints and solutions at the end of the book. College Algebra will definitely be harder than the likes of Algebra 1 or Algebra 2. . A discrete math class could easily be harder than a differential equations class or linear algebra one simply because the professor makes it that way.

Whereas, linear algebra taught at less selective colleges will not tend to get through as much material and it is the .

Is Statistics harder than calculus?

Algebra helps you easily grasp topics in calculus. But having done it also online last semester (scoring well) and doing Linear Algebra now, I personally think Calc 2 was the easier of the 2.

Algebra 1 is the building block of algebra 2.

Is calculus harder than linear algebra?

Linear algebra is the branch of mathematics concerning linear equations such as: + + =, linear maps such as: (, ,) + +,and their representations in vector spaces and through matrices..

College Algebra math will build on elementary Algebra . Many students regard linear algebra as a difficult study. After going through the challenging aspects of linear algebra, let's focus on some tactics to simplify it.

However, let us summarise their broad similarities and differences here.

The main difference between Algebra and Calculus is that algebra is a branch of mathematics that deals with finding the values of the unknown variable by solving linear, cubic or quadratic equations that are termed as algebraic equations whereas Calculus is a branch of mathematics that deals with the rate of change of functions. If you did well in calculus 2, it is likely that you can do well in differential equations.

For example, differentiation is linear and is not one-to-one. For three different matrices A, B, and C, think about why the following properties hold: A*B B*A.

I hope you have have fun with it. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and . Diff Eqs was not so bad either.

And, linear algebra is a prereq to the math reasoning class, also known as intro to proofs. It's a lot more memorization of vocabulary and the steps to perform certain procedures, whereas Calculus is more like solving difficult puzzles.

The pure mechanics of Linear algebra are very basic, being far easier than anything of substance in Calculus. Some adeptness in basic algebra is essential. An eighth grade pre-algebra course almost always serves as a precursor to a ninth grade Algebra 1 .

Linear Algebra II (G30 Program): Lecture 1-1 Introduction & Vector spaces. At the same time, linear algebra requires dealing with many vectors and matrices, which is also hard. Linear Algebra is a branch of mathematics that is extremely useful in data science and machine learning.

Algebra 2 is a higher and more complex course, hence algebra 2 is a lot harder than algebra 1.

Once you get the hang of writing out matrices, vectors, and other objects, associating them to the basic image of vectors as arrows can be very intuitive. 14.2 Solving one-step linear inequalities. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. 4 Answers.

Linear Algebra uses matrices but also covers topics such as spanning sets, dimensions, ranks, subspaces, eigenvalues, eigenvectors, linear transformations, etc.

Calculus is the hardest mathematics subject and only a small percentage of students reach Calculus in high school or anywhere else. In this class we will concentrate on the mathematical theory and methods of linear algebra.

For three different matrices A, B, and C, think about why the following properties hold: A*B B*A.

Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (or linear spaces), linear transformations, and systems of linear equations. Linear algebra is difficult because it is fundamentally different from most high school and college courses you have taken until now.

algebra 1 teaches you the basics of it such as linear functions, quadratics, and functions while alg 2 teaches you deeper into those subjects and also talks about new parent functions such as log, exponential, radical, etc. But calculus remains the harder one.

Beside above, how important is linear algebra?

Whereas, linear algebra taught at less selective colleges will not tend to get through as much material and it is the . Linear algebra is vital in multiple areas of science .

It will go on forever.

This question seems to be about which course is easier, and it might be rephrased "thinking is harder than following rules mindlessly".

If most or all people say it's hard, then it is.

14.1 Express linear inequalities graphically and algebraically. In general, differential equations is considered to be slightly more difficult than calculus 2 (integral calculus).

<p>with just AB under your belt Calc 2 might give you a little problem, but Linear Algebra is much easier than Calc 2, in my opinion</p>. It teaches linear algebra through short explanations and lots of exercises. 5 level 2 lifelifebalance

Stats first freaked me out when I saw all the letters, but not bad cause they all stood for something. Is pre-algebra harder than algebra? If it's taught as a proof-based class, then I'd expect it to be quite a bit harder, and Calc 3 might be easier in that case.</p>. This is a solid introductory textbook and covers the content of a typical first semester course in linear algebra at a European university. 28.9%.

Linear algebra is not hard! It is more challenging than discrete mathematics which is usually a first-year program taught in most STEM majors.

Is linear algebra easier than calculus 3?

This isn't mathematics; it's essentially arithmetic. This book is great for self-studying.

it may turn out to be easy or pleasant for you but that would just make your experience slightly different, it won't make everyone else wrong. Since many students find abstract material to be very difficult (for whatever .

- Qiaochu Yuan.

There are actually a number of factors that will impact the difficulty of the class for you.

Difference Between .

At these colleges, you will likely find the class to be more challenging and you'll have to spend more time studying.

Below are some PDF "print outs" of a few of the Mathematica notebooks from Matrices, Geometry, & Mathematica by Davis/Porta/Uhl.

281. Linear algebra is vital in multiple areas of science .

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It is important to develop deep-seated knowledge of this subject before moving on to calculus.

A* (B*C) = (A*B)*C. A* (B+C) = A*B + A*C. The only issue for me was trying to visualize everything in my head; it can be abstract and weird at first. The difficulty is that linear algebra is mostly about understanding terms and definitions and determining the type of calculation and analysis needed to get the required result. Subject Recommendations & Enquiries. This is a solid introductory textbook and covers the content of a typical first semester course in linear algebra at a European university. I never made it through college algebra in the 1980's. could hardly do it in highschool, but did good in stats 20 years out of highschool. Solving systems of linear equations is a basic tool of many mathematical procedures used for solving problems in science and engineering.

Which subject was harder, linear algebra or calculus 2?

Linear algebra is easier than elementary calculus. .

Calculus requires a lot of analysis and computation. However there's nothing you can do about it until you become a professor of mathematics and write your own book on the subject so you have to suck it up to pass the class.

Most linear algebra concepts can be visualized by very visual students, such as imagining vectors in three dimensions, who will find it easier to understand than calc.

Linear algebra is used in data preprocessing, data transformation, and model evaluation. We believe that our curriculum in Linear Algebra in Distance Calculus @ Roger Williams University, based upon an experimentation model using . .

As a result, linear algebra is frequently the first "real" mathematics course that students take. It was similar enough to calculus that I . Rockoz said: Taking calculus 3 without linear algebra is totally fine. Good definition!

19. What is Algebra 1 Equations? <p>It really depends on the linear algebra course. Linear algebra is difficult because it is fundamentally different from most high school and college courses you have taken until now. Calculus would appear in linear algebra if at all only in the form of examples.

The pure mechanics of linear algebra are very basic--far easier than anything . This book is great for self-studying. . Is Linear Algebra Harder than Calculus?

In Calculus, you can get by without understanding the intuition behind theorems and just memorizing algorithms, which won't work well in the case of linear algebra. But if you have completed these courses, you should be well prepared to tackle College Algebra. Adopt an Intuitive Approach Towards Linear Algebra [3] Linear algebra services numerous fields and while abstract algebra is certainly of great importance, it can be argued (successfully) that linear algebra equips one with plenty of immediate tools for use in many areas.

Calculus 3 or Multivariable Calculus is the hardest mathematics course. If you're just learning how to use Linear Algebra as a tool, then it won't be a very difficult class and should be easier than Calc 3.

Calc II was not bad, but I liked it less than I and III.

Both subjects are easy as long as concepts are clear and sums are practiced regularly. The idea behind the proposal is twofold.

However material-wise (meaning independent of the professor), most people agree that discrete math is easier . I had a frustratingly difficult time with it compared to Calculus, but that was probably due in part to the professor teaching it.

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Either that, or the professor is making it worse than it's meant to be. 584 votes. high school pre-linear algebra is a waste of time and there is no reason to learn it.

However, linear algebra is much more than this. Calculus is harder than linear algebra, especially talking about calculus 3. Is calculus harder than linear algebra? Linear algebra is so hard because it is not very intuitive, it places a strong emphasis on rigorous proofs, and its concepts are very abstract and difficult to visualize.