MAT 238 Calculus III
Test 4 Wednesday 17/7
includes: Line integral of scalar fields and vector fields, surface integral of scalar and vector fields,
applications (length of curves, surface area, mass, center of gravity, work), conservative vector fields,
potential, curl=rot circulation density, divergence flux density, Green/Stokes theorem, Gauss' theorem
Test 3 Wednesday 11/16
includes: critical points, local extrema, second derivative test,
Lagrange multipliers, multiple integrals, iterated integrals, changing order of integration,
change of variables, Jacobian, polar cylindrical spherical coordinates, applications, volume,
average value, mass, center of gravity
Test 2 Tuesday 10/18
includes: multivariable functions, surfaces, tangent planes, contour plots,
limits, partial derivatives, functions form R^m to R^n, linear approximations, derivative,
Jacobian matrix, chain rule, directional derivatives, gradient, global maximum and minimum
Test1 Wednesday 9/21
includes: vectors, vector algebra, length, unit vectors, unitization, dot product, angle between
vectors, perpendicular vectors,
scalar projection, vector projection, distance from a line, distance from a plane, crossed product,
normal vectors, area using the crosssed product,
equations of lines in planes and in space, equations of planes, vector functions,
derivatives integrals of vector functions, motion in space
Syllabus pdf
Homework:
Webwork
Webwork syntax guide
Due dates
- Review sheet for vectors (Chapter 9)
pdf
- Review sheet for vector functions (Chapter 10)
pdf
- Review sheet for derivatives (Chapter 11)
pdf
- Review sheet for multiple integrals (Chapter 12)
pdf,