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Calculus 3 Sample Syllabus, Spring 2015, MW

All sections refer to James Stewart, Calculus: Early Transcendentals, 7th Edition.

Date Material Sections
01/21 Brief overview. Distance, conic sections, polar coordinates. §10.3, 10.5, 10.6, 12.1
01/26 Coordinate systems in R3. Vectors in R2, R3, Rn. §12.1, 12.2, pp. 1027-1028, 1033-1034
01/28 Dot product. §12.3
02/02 Cross product. §12.4
02/04 Equations for lines and planes. §12.5
02/09 More on lines and planes in space. §12.5
02/11 Quadric surfaces. §12.6
02/16 Review.
02/18 Midterm 1.
02/23 Parametric curves. §10.1, 10.2, 10.3, 13.1, 13.2
02/25 Derivatives and integrals of parametric curves. Arc length. §13.2, 13.3
03/02 Curvature. §13.3
03/04 Velocity, acceleration. §13.4
03/09 Review of continuity and limits in one dimension. §2.2, 2.4, 2.5
03/11 Continuity and limits of functions of several variables. §14.1, 14.2
Spring break 03/16 – 03/20
03/23 More on limits and continuity. §14.1, 14.2
03/25 Partial derivatives. §14.3
03/30 Tangent planes and linear approximation. §14.4,
04/01 The chain rule. §14.5
04/06 Review.
04/08 Midterm 2.
04/13 Directional derivatives. More linear approximation. Gradient. §14.6
04/15 Critical points and maximization. §14.7
04/20 More maximization: regions with boundary. §14.7
04/22 Lagrange multipliers. §14.8
04/27 More Lagrange multipliers. §14.8
04/29 Complex Numbers Appendix H
05/04 Review
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