Math 2210-1
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Professor Korevaar
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Lectures are listed in reverse chronological order.
Week 16
dec8.pdf Review sheet and practice exam questions
dec6.pdf 15.4-15.6 FTC, Green's and divergence theorems
Week 15
dec3.pdf 15.4 The fundamental theorem of Calculus, Green's and divergence theorem (n=2).
dec1.pdf 15.3 path independence and gradient vector fields
nov29.pdf 15.2 curve integrals
Week 14
nov24.pdf 15.1-15.2 Vector fields, grad, curl div, curve integrals.
nov22.pdf 14.9-15.1 Change of variables examples, introduction to vector fields
Week 13
nov17.pdf 14.9 Change of variables in multiple integration (not on Friday's exam, but last page is review sheet for exam.)
nov15.pdf 14.8 Parametric surfaces and surface area
Week 12
nov12.pdf 14.7 triple integrals in cylindrical and spherical coordinates
nov10.pdf 14.6 triple integrals
nov8.pdf 14.5 applications of double integrals
Week 11
nov5.pdf 14.4 computing double integrals using polar coordinates
nov3.pdf 14.3 area and volume via double integrals
nov1.pdf 14.2 double integrals over non-rectangular domains; changing the order of integration via region sketching
Week 10
oct29.pdf 14.1 Double integrals over rectangular domains
oct25.pdf Review sheet and practice exam questions, for Wednesday's midterm.
Week 9
oct22.pdf 13.7-13.9 chain rule, directional derivatives and the gradient, Lagrange multipliers
oct20.pdf 13.6-13.8 differentiability and the chain rule
oct18.pdf 13.6-13.8 affine approximation, differentiability, directional derivatives
Week 8
oct15.pdf 13.6 affine approximation, differentials, matrix derivatives
oct13.pdf 13.5 extremization principles and problems
oct11.pdf 13.4 partial derivatives
Week 7
oct6.pdf 13.3 limits and continuity
oct6.mws 13.3 Maple worksheet we played with in class
oct4.pdf 13.1-13.2 functions of several variables
Week 6
oct1.pdf 12.4 polar, cylindrical, spherical coordinates
sept27.pdf 12.3 drawing quadric surfaces (Document is mostly blank space which we used in class.)
sept27b.pdf 12.3: Maple pictures
sept27.mws 12.3: Maple worksheet - open from Maple and play with this.
Week 5
sept24.pdf 12.2 Kepler's Laws and Newton's inverse square law deduction - not only
was this a historical milestone, but the derivation uses all of our 2210 tools.
sept22.pdf 12.2 arclength parameterizations, curvature, acceleration decomposition
sept20.pdf 12.1-12.2 integrating vector-valued functions, arclength
Week 4
sept17.pdf 12.1 Calculus for parametric curves
sept15.pdf 11.6 inverse matrices
sept13.pdf 11.6 + more: geometry and algebra of affine maps
Week 3
sept10.pdf 11.6 + more: solving linear systems; affine maps
sept10.mws 11.5-11.6 Maple worksheet for solving linear systems and drawing plots
sept8.pdf 11.5 linear systems: how to solve, and geometric interpretation
Week 2
sept3.pdf 11.4 implicit and parametric equations for lines and planes
sept1.pdf 11.3 determinants and the cross product
aug30.pdf 11.2 geometry and algebra of the dot product
Week 1
aug27.pdf 11.2 3-space, vectors in 3-space.
aug25.pdf 11.1 vectors in the plane