Multivariable Analysis - Fall 2012

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Date Assignment Description
Tues, 8/28 HW 1 Introduction to course; review of parametric equations
Wed, 8/29 HW 2 Parametric equations and conic sections
Thurs, 8/30 HW 3 Calculus with parametric equations (slope, area, arc length)
Fri, 8/31   Discuss Lab Proj from HW 3
Tues, 9/4 HW 4 Review of polar coordinates
Wed, 9/5 HW 5 Slope, arc length, and area of polar curves
Thurs, 9/6 HW 6 Hyperbolic trigonometry
Fri, 9/7   Review of integration by parts; integrating powers of trig functions
Mon, 9/10   Review
Tues, 9/11   Test: Unit 1
Thurs, 9/13 HW 7 Integrating with trig substitutions and simple partial fractions
Fri, 9/14 HW 8 HW Q&A; overview of partial fractions with repeated terms
Mon, 9/17   HW Q&A; justification of technique for partial fractions with repeated linear terms
Tues, 9/18 HW 9 Integrating rational expressions with irreducible quadratic terms; rationalizing expressions
Wed, 9/19   Work day - review assignment
Thurs, 9/20   Work day - review assignment
Mon, 9/24   Review
Tues, 9/25   Test - Unit 2
Wed, 9/26 HW 10 Three-dimensional coordinates: plotting points, distance, spheres, simple planes
Thurs, 9/27 HW 11 An introduction to vectors
Fri, 9/28 HW 12 Dot product and the angle between two vectors
Mon, 10/1 HW 13

Projections (scalar, vector, orthogonal), work

Wed, 10/3   HW Q&A, with further discussion of particular properties of projections
Thurs, 10/4 HW 14 HW Q&A (especially measuring distance between a point and a line); direction angles and cosines
Fri, 10/5   Calculating 2x2 and 3x3 determinants; definition of a cross product; orthogonality property
Mon, 10/8 HW 15 Length of the cross product, cross product for area, scalar triple product for volume
Tues, 10/9 HW 16 HW Q&A; equation of a plane
Wed, 10/10 HW 17 Equations of lines
Fri, 10/12   HW Q&A; parallel, identical, perpendicular, skew, and intersecting lines (ACL half day)
Mon, 10/15 HW 18 Distances between points, lines, and planes
Tues, 10/16 HW 19 General cylinders; using level curves to visualize 3D surfaces
Wed, 10/17 HW 20 Quadric surfaces
Thurs, 10/18   HW Q&A
Fri, 10/19   Review
Tues, 10/23   Test - Unit 3
Wed, 10/24 HW 21 Vector functions: definition, graphs, derivatives
Thurs, 10/25 HW 22 HW Q&A (half day for parent conferences)
Fri, 10/26   Product rules for differentiation (half day for parent conferences)
Wed, 10/31 HW 23 Arc length, reparametrizing curves based on arc length
Thurs, 11/1 HW 24 HW Q&A (complex algebra!); unit tangent vector
Mon, 11/5 HW 25 Calculating curvature
Tues, 11/6 HW 26 Unit normal and binormal vectors; osculating circles; another curvature formula
Wed, 11/7   Review
Thurs, 11/8   Test - Unit 4
Fri, 11/9   Review
Mon, 11/12   Review
Tues, 11/13   Optional review (half day)
Fri, 11/16   FINAL EXAM - Clayton Gym - 1 to 3 PM

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