Math 2210-4
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Professor Korevaar
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Lectures are listed in reverse chronological order.
Week 15
apr27.pdf All: course review and practice exam
apr25.pdf 17.4-17.7: Green's - Stoke's - Divergence theorems explain the geometric meaning of divergence and curl. They are all consequences of the fundamental theorem of Calculus.
Week 14
apr22.pdf 17.4-17.7: flux integrals and the n=2 divergence theorem. Surface integrals, Stokes and the n=3 divergence theorem.
apr20.pdf 17.4: Green's Theorem
apr18.pdf 17.3-17.4: gradient fields and conservation of energy; Green's Theorem
Week 13
apr15.pdf 17.3: path-independent line integrals and gradient vector fields.
apr13.pdf 17.2: curve integrals and line integrals.
apr11.pdf 17.1: vector fields, divergence and curl
Week 12
apr8.pdf 16.8: triple integrals in cylindrical and spherical coordinates, and the big picture.
apr6.pdf 16.7: triple integrals
Week 11
apr1.pdf 16.6: surface area of graphs
mar30.pdf 16.5: applications of double integrals to mass and moments
march 28 16.4: We used Friday's notes!
Week 10
mar25.pdf 16.4: double integrals in polar coordinates
mar23.pdf 16.3: integrals over non-rectangular domains
mar21.pdf 16.1-16.2: double integrals over rectangular domains
Week 9
mar11.pdf 15.9: Lagrange multipliers approach to constrained max-min problems
mar9.pdf 15.8: finding maxima and minima for functions of several variables
mar7.pdf 15.7: gradients are perpendicular to level surfaces; also differential approximation (again)
Week 8
mar4.pdf 15.6: chain rule
mar2.pdf 15.5: directional derivatives and the gradient
feb28.pdf 15.4: multivariable differentiability: good tangent function property
Week 7
feb25.pdf 15.3: limits and continuity.
feb23.pdf 15.2: partial derivatives: what they measure and how to compute them
Week 6
feb18.pdf 15.1: functions of several variables
feb14.pdf new and review: intro to 15.1 and review for exam
Week 5
feb11.pdf 14.7 polar, cylinderical, spherical coordinates
February 9 No new notes; finished February 7 notes!
feb7.pdf 13.5, 14.5 curvature and the roller coaster equation for acceleration
Week 4
feb4.pdf 13.4, 13.5, 14.5 geometry of curves and its relation to physics
feb2.pdf 13.4, 14.5 derivatives of vector-valued functions: what they mean and how to compute them.
jan31.pdf 13.1, 14.5 parametric curves
Week 3
jan28.pdf 14.6 Graphing quadric surfaces and cylinders in 3-space. This document is mostly blank because we drew in class!
jan26.pdf 14.3-14.4 More geometry with the dot and cross products.
jan24.pdf 14.3-14.4 cross product applications continued. Lines in the plane and 3-space.
Week 2
jan21.pdf 14.3 determinants and the cross product
jan19.pdf 13.3, 14.2 dot product applications
Week 1
jan14.pdf 13.2,13.3,14.2 introduction to dot product and its uses.
jan12.pdf 13.2,13.3,14.2 vectors: geometric and algebraic addition, scalar multiplication, magnitude.
jan10.pdf 14.1 geometry of 3-space.