Math 2000 - Analytic Geometry & Calculus 3
Math 2000 - Analytic Geometry & Calculus 3
August 25 (intro to course - not recorded)
August 26 (scalar multiplication, vector addition, and dot products)
August 28 (cross products)
September 2 (Lines and Planes)
September 4 (Quadric Surfaces, Curvilinear coordinates, introduction to vector functions)
September 8 (Vector Functions)
September 9 (Vector Functions, TNB frames, velocity/acceleration)
September 11 (Vector Functions, Comments on Sept 10th worksheet, Trajectories)
September 15 (Introduction to Multivariable Functions)
September 16 (Newton's Derivation that Planets have elliptical orbits, partial differentiation)
September 22 (Partial Differentiation, Gradient)
September 23 (Tangent Planes)
September 25 (Chain Rule, Tangent Plane to Level Surfaces)
September 29 (Directional Derivatives, Introduction to Optimization)
September 30 (Relative and Absolute Extrema)
October 2 (Lagrange Multipliers)
October 6 (Lagrange Multipliers and Double integrals over rectangular regions)Â
October 7 (Double integrals over general regions)
October 9 (Double integrals over polar regions)
October 13 (Integrals over polar regions)
October 14 (Surface area of z = f(x,y))
October 15 (Exam 2 Review)
October 20 (Applications of Double Integrals)
October 21 (Triple Integrals)
October 23 (Cylindrical and Spherical Coordinates and the Jacobian for Double Integrals)
October 27 (Change of Variables for Triple Integrals)
October 28 (Introduction to Vector Fields, Divergence/Curl)
October 29 (Introduction to Line Integrals)
November 3 (Line Integrals of Vector Fields)
November 4 (Line Integrals in R^3)
November 6 (Fundamental Theorem of Line Integrals)
November 10 (Green's Theorem)
November 13 (Parametrized Surfaces)
November 17 (Surfaces and Surface Integrals)
November 18 (Surface Integrals and Flux)
November 19 (Exam 3 Review)