Math calculus:
real numbers, complex numbers, polynomials, functions, methods for finding roots of functions, inverse functions, limits, derivatives, continuity, integrals, definite integrals, taylor polynomials, extremes of functions (minimum, maximum), multivariable calculus - vector functions, partial derivatives, differential equations, integrals, multiple (double, tripple) integrals
Calculus 1 | Professor Leonard - YouTube, Calculus 2 | Professor Leonard - YouTube, Calculus 3 | Professor Leonard - YouTube
Multivariable Calculus | Professor Leonard - YouTube
or
Calculus I (Differential Calculus) - YouTube, Calculus II (Integral Calculus) - YouTube, Calculus III (Multivariable Calculus) - YouTube
or
Calculus 1 | Khan Academy, Calculus 2 | Khan Academy, Multivariable Calculus | Khan Academy
Linear algebra:
points, vectors, vector spaces, matrices, determinants, linear transformations, linear maps, linear combinations, linear dependences and independences, matrix transformations (scalar product, multiplication, inverse, transpose), eigenvalues and eigenvectors, dot product, cross product, angle of two vectors, length of vectors, orthogonal vectors, linear systems, solving linear systems
Linear Algebra: Geometry and Algebra of Vectors - YouTube
or
Linear Algebra | Khan Academy
or
Introduction to Linear Algebra, Sixth Edition (2023)
Geometry:
cartesian coordinates, spherical coordinates, 2D & 3D Euclidean space, points, lines (linear equation, parametric equations), lines intersection, distance of the point from the line, planes (linear equation, parametric equations), planes intersection, line intersection with plane, distance of the point from the plane, parametric functions, normals and tangents to curves and surfaces, curvature, spline curves, spline surfaces, Bézier splines
Geometry | Math Fortress - YouTube
and
Mathematics of animation curves | Khan Academy
Probability and statistics:
random variable, probability, distribution function, cumulative distribution function, expected value, variance
Statistics and Probability | Khan Academy