When I am done with calculus this year, I plan to take more math courses. What math can I take after finishing calculus. I have heard about linear algebra, differential equations and such. What do these courses entail and are they harder than calculus? I need some opinions on this.
Here are some good courses:
-Discrete Mathematics - Will introduce you to algorithms. You learn probability as well.
-Statistics - Calculus-based not algebra
-Diff. Eq - If you have Calculus 2 under your belt, this is a good course. Difficulty is debated. Some say it is just trivial algebra. Others think it is moderately difficult.
For more ideas, find a university catalogue, preferably one from the place you will take these courses. This will tell give you a comprehensive list of all mathematics courses (and everyother course as well). It will also inform you of the prerequisites.
Are you interested in self-study? If you already have Calculus done, I doubt you need more math credits. A great site for self-study is ocw.mit.edu.
Usually, either multivariable calculus or linear algebra comes next. But it also depends on your access to these classes, either through long distance learning or a local college. You should probably just take whatever fits into your schedule best and you can afford.
Students who have completed Calculus C or the equivalent should enroll in Multivariable Differential Calculus (M52A), followed by Multivariable Integral Calculus (M52B). Linear Algebra (M51A) should be taken after, or concurrently with, M52B.
Following multivariable calculus and linear algebra, there are several choices: if a student is interested in subject matter having broad applications and extending what's learned in calculus, then the student should consider Differential Equations (M53A); for those who enjoy the algebraic aspect of Linear Algebra and want to study mathematics of a similar but more general flavor, also with many applications, Modern Algebra (M109) may be most appropriate; if a student wants to continue the study of calculus but from a more sophisticated, formal, and rigorous perspective, then we recommend Real Analysis (M115); finally, if one is interested in complex or imaginary numbers and how to do calculus for complex-valued functions, then Complex Analysis (M106) is the natural choice -- although Real Analysis should be taken before Complex Analysis.
AP Stats? What a joke...i hate that "class". If you finished BC Calc this year then take multivariable..if you finished multivariable then take differential equations.
Usually multivariable calculus comes after Calc because the material is related. Linear Algebra is after that generally, but since multivariable and it aren't related they can be taken in either order. I'm in linear algebra now because there is no multivariable at my school, and it's pretty interesting. I'd say go for it over another year of calc.
"-Diff. Eq - If you have Calculus 2 under your belt, this is a good course. Difficulty is debated. Some say it is just trivial algebra. Others think it is moderately difficult."
Whoa, Diff. Eq has nothing to do with algebra. It is a calculus course that uses a great deal of Calculus. Linear Algebra is the one that is algebra mostly.
Now for the OP question. Depending on your school, you can take Multi variable Calculus, linear algebra, differential equations, those are the most common offered at schools. If your school offers it, then you can also take a calculus based probability course but most schools don't offer this course for lower division students.
Replies to: math courses after calculus
Here are some good courses:
-Discrete Mathematics - Will introduce you to algorithms. You learn probability as well.
-Statistics - Calculus-based not algebra
-Diff. Eq - If you have Calculus 2 under your belt, this is a good course. Difficulty is debated. Some say it is just trivial algebra. Others think it is moderately difficult.
For more ideas, find a university catalogue, preferably one from the place you will take these courses. This will tell give you a comprehensive list of all mathematics courses (and everyother course as well). It will also inform you of the prerequisites.
Are you interested in self-study? If you already have Calculus done, I doubt you need more math credits. A great site for self-study is ocw.mit.edu.
Students who have completed Calculus C or the equivalent should enroll in Multivariable Differential Calculus (M52A), followed by Multivariable Integral Calculus (M52B). Linear Algebra (M51A) should be taken after, or concurrently with, M52B.
Following multivariable calculus and linear algebra, there are several choices: if a student is interested in subject matter having broad applications and extending what's learned in calculus, then the student should consider Differential Equations (M53A); for those who enjoy the algebraic aspect of Linear Algebra and want to study mathematics of a similar but more general flavor, also with many applications, Modern Algebra (M109) may be most appropriate; if a student wants to continue the study of calculus but from a more sophisticated, formal, and rigorous perspective, then we recommend Real Analysis (M115); finally, if one is interested in complex or imaginary numbers and how to do calculus for complex-valued functions, then Complex Analysis (M106) is the natural choice -- although Real Analysis should be taken before Complex Analysis.
i had an idea to do "math problem solving" as an IP. lol What do you guys think.
Whoa, Diff. Eq has nothing to do with algebra. It is a calculus course that uses a great deal of Calculus. Linear Algebra is the one that is algebra mostly.
Now for the OP question. Depending on your school, you can take Multi variable Calculus, linear algebra, differential equations, those are the most common offered at schools. If your school offers it, then you can also take a calculus based probability course but most schools don't offer this course for lower division students.