Honors Calculus & Analytic Geometry IV, Spring 2004

Instructor: Lucy Lifschitz


Date  Sections  Homework 
January 12,14,16 §15.1 Functions of Several Variables 
§15.2 Limits and Continuity 
p.919 ##7,13,25,37,57 
p.928 ##5,9,11,20,29,38 
January 21,23  §15.3 Partial Derivatives 
§15.4 Tangent Planes and Linear Approximation 
p.939 ##11,13,15,21,35,41,47,59 
p.950 ##3,5,13,19,25,33,35,41*,42* 
January 26,28,30  §15.5 The Chain Rule 
§15.6 Directional Derivatives and the Gradient Vector 
p.958 ##3,5,9,11,19,28,31,37 
p.970 ##3,5,9,11,13,18,21,25 
February 2,4,6  §15.7 Maximum and Minimum Values 
§15.8 Lagrange Multipliers 
p.981 ##5,7,15,27,29,33,37,47 
p.990 ##3,5,7,11,25 
February 9,11,13  Review 
Test I, February 11 
§16.1 Double Integrals over Rectangles 
 
 
 
February 16,18,20  §16.2 Iterated Integrals 
§16.3 Double Integrals over General Regions 
p.1014 ##3,7,13,15,17,25,29 
p.1022 ##3,7,9,13,17,25,41,45,47 
February 23,25,27  §16.4 Double Integrals in Polar Coordinates 
§16.5 Applications of Double Integrals 
Project I due February 25
p.1028 ##9,11,15,17,21,23,27 
p.1038 ##1,5,7,13 
March 1,3,5  §16.6 Surface Area 
§16.7 Triple Integrals 
p.1042 ##3,5,9,11 
p.1050 ##7,11,15,19,35 
March 8,10,12 §16.8 Triple Integrals in Cylindrical 
and Spherical Coordinates 
§16.9 Change of Variables in Multiple Integrals 
p.1057 ##1,7,9,13,17,19,21,35 
p.1067 ##4,7,9,11,13,15,23 
March 22,24,26  Review 
Test II, March 24 
§17.1 Vector Fields 
 
 
March 29,31, April 2  §17.2 Line Integrals 
§17.3 The Fundamental Theorem for Line Integrals 
p.1091 ##1,5,7,9,11,15,19,21,41 
 
April 5,7,9  §17.4 Green's Theorem 
§17.5 Curl and Divergence 
p.1108 ##3,7,9,11,15,19 
p.1115 ##3,5,13,15,19,25 
April 12,14,16  §17.6 Parametric Surfaces and their Areas 
§17.7 Surface Integrals 
p.1125 ##3,13,17,21,29,31,33,35,40 
p.1137 ##2,5,9,11,13,19,21,25 
April 19,21,23 §17.8 Stokes' Theorem 
§17.9 The Divergence Theorem 
p.1143 ##3,5,7,9,13,15,19 
p.1150 ##3,5,7,9,13,15,19 
April 26,28,30  Review for the Final   
 
Final Exam: 2443-006 Tuesday, May 4, 8:00-10:00 a.m.