1 Infinite Series, Power Series 2 Complex Numbers 3 Linear Algebra 4 Partial Differentitation 5 Multiple Integreals 6 Vector Analysis 7 Fourier Series And Transforms 8 Ordinary Differential Equations 9 Calculus Of Variations 10 Tensor Analysis 11 Special Functions 12 Series Solutions Of Differential Equations; Legendre, Bessel, Hermite, And Laguerre Functions 13 Partial Differential Equations 14 Functions Of A Complex Variable 15 Probability And Statistics expand_more
4.1 Introduction And Notation 4.2 Power Series In Two Variables 4.3 Total Differentials 4.4 Approximations Using Differentials 4.5 Chain Rule Or Differentiating A Function Of A Function 4.6 Implicit Differentiation 4.7 More Chain Rule 4.8 Application Of Partial Differentiation To Maximum And Minimum Problems 4.9 Maximum And Minimum Problems With Constraints; Lagrange Multipliers 4.10 Endpoint Or Boundary Point Problems 4.11 Change Of Variables 4.12 Differentiation Of Integrals; Leibniz' Rule 4.13 Miscellaneous Problem expand_more
Problem 1P: If u=x2/x2+y2, find u/x,u/y. Problem 2P Problem 3P: If z=lnu2+v2+w2, find z/u,z/v,z/w. Problem 4P: For w=x3y32xy+6, find 2w/ax2 and 2w/ay2 at the points where v/x=v/y=0. Problem 5P: For w=8x4+y42xy2, find 2w/x2 and 2w/y2 at the points where v/x=w/y=0. Problem 6P: For u=excosy, (a) verify that 2u/xy=2u/yx; (b) verify that 2u/x2+2u/y2=0. Problem 7P Problem 8P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. zxr Problem 9P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. zx Problem 10P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. zyx Problem 11P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. zyr Problem 12P Problem 13P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. zx Problem 14P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. 14.zy: Problem 15P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. zr Problem 16P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. zr Problem 17P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. zrx Problem 18P Problem 19P Problem 20P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. 2zx Problem 21P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. 2zy Problem 22P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. 2zrx Problem 23P: If z=x2+2y2,x=rcos,y=rsin, find the following partial derivatives. 2zr Problem 24P format_list_bulleted