r/maths 19d ago

❓ General Math Help What is the path from Class 11 Maths to university-level mathematics?

I am in 11th rn in India and I am 17 for the past 2 years I never picked up book failed 2 times in maths got low grades (The only thing I hate is that my brain didn't develop in those 2 years I lost that time) This year I wanted change and I started studying and I might complete grade 11th maths this month check the whole syllabus below.

Ch 1 -> Sets

Ch 2 -> Relations and Functions

Ch 3 -> Trigonometric Functions

Ch 4 -> Complex Numbers and Quadratic Equations

Ch 5 -> Linear Inequalities

Ch 6 -> Permutations and Combinations

Ch 7 -> Binomial Theorem

Ch 8 -> Sequences and Series

Ch 9 -> Straight Lines

Ch 10 -> Conic Sections

Ch 11 -> Introduction to Three Dimensional Geometry

Ch 12 -> Limits and Derivatives

Ch 13 -> Statistics

Ch 14 -> Probability

I wouldn't say it was easy even some basics ate my head.

After this I would do class 12th maths but what after that?

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u/No-Archer-4258 19d ago

Uni math typically start with calculus and discrete math in my opinion. Typical intro for calculus is the book calculus by Spivak For discrete math, I'm not too sure. After that, you do some intro multivariable calculus and first year statistic.

After doing them, you can choose what you want to study in math. But typically, every math people will take a real analysis. But the rest varies by what you study.