Advanced Calculus I
Either (a) a score of 68% or higher in MATH 121 or
(b) a score of 80% or higher in one of MATH 101, MATH 103, MATH 105, SCIE 001.
One of MATH 152, MATH 221, MATH 223.
Robert A. Adams and Christopher Essex, Calculus: Several Variables.
I will post all handouts, problem sets, etc. on the web
- Brief Introduction to Vectors (§ 10.1-10.4):
vectors in R2 and
R3, inner product,
cross product, lines and planes.
- Differentiation (§ 12.1-12.3, § 12.5-12.8, § 12.4, § 12.9):
limits, partial derivatives, tangent planes,
chain rule, gradient, directional derivatives, implicit functions,
higher order derivatives, equality of mixed partials, Taylor's theorem.
- Maxima and Minima (§ 13.1-13.3):
local and absolute extrema, classification of critical points,
- Integration (§ 14.1-14.6):
double integrals, iteration, improper integrals,
polar coordinates, triple integrals, cylindrical and spherical coordinates.
- There will be two midterms (tentatively scheduled for Wednesday, October 5 and Wednesday,
November 2) accounting for about 40% of the final mark.
- There will be weekly problem sets accounting for about 10% of the final mark.
- The final exam will account for about 50% of the final mark.
- Grades will probably be scaled.