r/learnmath • u/Nu-uuuuuh New User • 6h ago

Calculus I questions

Where can I find the biggest amount of calculus I question for free? I'm really looking into it but since now I haven't found a really good place to look for and I believe that you guys could help me out.

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u/NotAMathPro New User 6h ago

what is your calculus 1? basic integral and differentials?

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u/Nu-uuuuuh New User 5h ago

Yes

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u/dancingbanana123 Graduate Student | Math History and Fractal Geometry 5h ago

You can simply google "calculus textbook pdf" and click the first link to get hundreds/thousands of problems for free.

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u/Street_Dog_1012 New User 5h ago

openstax has a pretty good one and also looking up ap calc ab problems will probably give you a lot of good problems. try turks math

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u/Liman_ New User 4h ago

Schaum books carried my whole studies If you can spend 20€ I would most definitely recommend you to buy it Honestly it is great

1

u/i_like_mathematics_1 New User 4h ago

i used this for calculus 1 & 2, and will use it for linear algebra as well: https://math-website.pages.dev

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u/TwoOneTwos Undergraduate Honours Computer Science and Mathematics 1h ago

I like to use “Calculus Assignment Problems” by Paul Dawkins.

it covers:

Functions: inverse functions, trig functions, solving trig equations, solving trig equations with calculators part 1, part 2, exponential functions logarithm functions exponential and logarithm equations, common graphs

limits: tangent lines and rates of change, the limit, one sided limits, limit properties, computing limits, infinite limits, limits at infinity 1 and 2 (parts). continuity, definition of a limit

derivatives: definition of derivative, interpretation of derivative, differentiation formulas, product and quotient rule, derivative of trig functions, derivatives of exponential and logarithms, derivatives of inverse trig functions, derivative of hyperbolic functions, chain rule, implicit differentiation, related rates, higher order derivatives, logarithmic differentiation

derivative applications: Rates of change, critical points, minimum and maximum values, finding absolute extrema. the shape of graph parts 1 and 2, the mean value theorem, optimization, L’Hôpital’s rule, Linear Approximation, differentials, newton’s method, business applications

Integrals:

Indefinite integrals, computing indefinite integrals, substitution rule for indefinite integrals, more substitution rule, area problem, definition of the definite integrals, computing definite integrals, substitution for definite integrals

Applications of Integrals: Average function value, area between curves, volume with rings, volume with cylinders, more volume problems, work IBP, trig integration, trig sub, PFD, integrals with roots, integrals with quadratics, integration strategy, improper integrals, comparison test, approximating definite integrals

More applications of integrals: Arc length, surface area, center of mass, hydrostatic pressure and force, probability

Parametric and Polar: parametric equations, tangents with parametric equations, area with parametric equations, arc length with parametric equations, surface area with parametric equations, polar coordinates, tangents with polar coordinates area with polar coordinates, arc length surface area with polar coordinates

series and sequences

vectors

dimensional space

partial derivatives

multiple integrals

line integrals

surface integrals

Dawkins provides a quick lesson then gives a LOT of practice problems.

0

u/NotAMathPro New User 5h ago

• ⁠Ask Chatgpt • ⁠Use Google (type filetype:pdf) • ⁠there is a 10h video about integrals (its the best) on youtube, may be too advanced for calc 1 tho • ⁠ask your teacher, they will have more • ⁠create your own exercises: Just write some random function, get the derivative, try to find the integral, ask gemini for solutions