Center of curvature = r(t) + (1/k)(unit inward Normal)
k = curvature
Unit inward normal = vector perpendicular to unit tangent
r(t) = position vector
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Im still taking Integral Calculus now, but for me, if you dont know Differential Calculus you will not know Integral Calculus, because Integral Calculus need Differential. So, as an answer to that question, ITS FAIR
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
Analysis is a broader term for Calculus and the theorems behind it. It is studied both with real and complex numbers as real and complex analysis. Usually calculus just deals with the basic problems of differential calculus and integral calculus.
You must have a strong basis in Algebra, Algebra II, Geometry and Trigonometry. Usually high schools offer a pre-Calculus course which is somewhat of a conglomeration of the aforementioned courses. Then you would move into differential calculus, integral calculus, vector (multi-variable) calculus, and finally differential equations, which is considered to be at the top of the hierarchy of the calculus courses. So take Algebra, Algebra II, Geometry and Trigonometry to get your strong foundation before begining the calculus sequence.
High SchoolCalculus AB - Calculus 1Calculus BC - Calculus 1 + part of Calculus 2College:Calculus 1: Single variable calculusCalculus 2: Multi-variable CalculusCalculus 3: Vector CalculusCalculus 4: Differential Equation