Mathematics Course 2E1 for SF Engineering & MSISS students
Solutions to tutorial sheets
- Tutorial Sheet 1 [October 11 - 12]
- The first tutorial sheet with solutions (on vector valued functions, or parametrised curves, and their unit tangent vector) is available here in PDF format.
- Tutorial Sheet 2 [October 18 - 19]
- On parametric equation of a line, velocity, speed, acceleration, unit tangent, unit normal, curvature is available here in PDF format.
- Tutorial Sheet 3 [October 25 - 26]
- On lines and planes in space, graph of function of 2 variables is available here in PDF format.
- Tutorial Sheet 4 [November 1 - 2]
- On lines and planes (in space) again is available here in PDF format.
- Tutorial Sheet 5 [November 8 - 9]
- On partial derivatives, directional derivatives and tangents is available here in PDF format.
- Tutorial Sheet 6 [November 15 - 16]
- On gradients and linear appoximation is available here in PDF format.
- Tutorial Sheet 7 [November 22 - 23]
- On tangent planes is available here in PDF format.
- Tutorial Sheet 8 [November 29 - 30]
- On higher order partial derivatives and critical points is available here in PDF format.
- Tutorial Sheet 9 [December 6 - 7]
- About the second derivative test in 2 variables and lagrange multipliers is available here in PDF format.
- Tutorial Sheet 10 [January 10 - 11]
- About Taylor's theorem (second order in 2 variables), and cylindrical and spherical coordinates in space is available here in PDF format.
- Tutorial Sheet 11 [January 17 - 18]
- Multiple integrals is available here in PDF format.
- Tutorial Sheet 12 [January 24 - 25]
- Multiple integrals again (polar coordinates; application to mass) is available here in PDF format.
See Dr. Zaitsev's web site for further problem/tutorial sheets.