Learning math

[pastel gate]

I need help learning math effectively. My current level in math is low, and I want to improve. I don't think traditional methods are effective or productive, so if anyone can help me find the right path and methods, I would be delighted.
Because i have an upcoming important exam "months" and i need to ace it.

[unborn bloom]

What level of math have you studied till?

[pastel gate]

i can't really give an exact measure since ive been studying in differnet division for a while and i didn't use math, or physics. but what i know is, the exam will be featuring calculus(functions exp,log,integral) and arthemtric sequences, and probabilities

i have like general knowledge to those things but i need to excel not just general knowledge

[unborn bloom]

Okay so calculus math upto integration. I'd say the best way to learn is to study functions with a mindset of thinking there's a recipe to each problem

If you've learned integration by parts or u-substitution, then you'll know it's one strategy that you're taught to apply. but there's hundreds of different ways to use it to integrate functions

the only way to get good at that is to literally try integrating hundreds of problems

[pastel gate]

so solving problems is the key ?

[unborn bloom]

that's just one example, but i'd say the same aplies with other topics

[unborn bloom]

well it depends what you're trying to learn, if its just what you said, functions, derivatives and integrals, i'd say thats your best bet, practice

[pastel gate]

okay i'll give an example, past year exam

Calculus:

Derivatives and their applications.
Integration techniques and applications.
Differential equations.
Algebra:

Arithmetic and geometric sequences.
Polynomial functions and factorization.
Solving equations and systems of equations.
Logarithmic and exponential functions.
Geometry:

Properties of triangles and circles.
Analytical geometry: lines, parabolas, and ellipses.
Vectors in 2D and 3D space.
Probability and Statistics:

Calculating probabilities for independent and dependent events.
Statistical measures: mean, variance, and standard deviation.
Trigonometry:

Trigonometric identities and equations.
Applications of sine, cosine, and tangent functions.
Complex Numbers:

Representation in polar and rectangular forms.
Operations and applications.
Limits and Continuity:

Evaluating limits.
Understanding continuity and discontinuity of functions.

the subject was in diff lang , so i had to analyzed it by chatgpt to give me the details

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@unborn bloom

[strange fjord]

I have this weird belief in myself that In math, you should be lazy so you could make easier and better ways to solve a problem

[unborn bloom]

Sequences you should just go on Khan Academy or watch organic chemistry tutor to understand it deeper

Stuff like limits, derivatives and integrals, all just practice.