Honors Calculus & Analytic Geometry I, Fall 2002

Instructor: Lucy Lifschitz


Date  Sections  Homework 
August 26, 28, 30 §1.1 Ways to Represent a Function 
§1.2 Mathematical Models 
§1.3 New Functions from Old Functions 
p.22 ##2,12,20,32,42,49 
p.35 ##5,9,11 
p.46 ##1,10,14,23,36,52,62,63 
September 4, 6  §2.1 The Tangent and Velocity Problems 
§2.2 The Limit of a Function 
p.71 ##3,5 
p.81 ##4,9,14,19 
September 9, 11, 13  §2.2 The Limit of a Function 
§2.3 Calculating Limits Using the Limit Laws 
p.91 ##5,17,19,21,36,37,38,47,56 
 
September 16, 18, 20  §2.4 The Precise Definition of a Limit 
§2.5 Continuity 
p.103 ##2,13,18,28,29,34,37,38 
p.112 ##3,9,13,19,33,37,42,47 
September 23, 25, 27  §2.6 Tangents, Velocities and Other Rates of Change 
Review 
Test I, September 27 
 
September 30, October 2, 4  §3.1 Derivatives 
§3.2 The Derivative as a Function 
p.134 ##8,15,22,26 
p.144 ##4,21,39,428 
October 7, 9  §3.3 Differentiation Formulas 
§3.4 Rates of Changes in Natural and Social Sciences 
p.158 ##8,21,22,31,34,52,58,63,68 
p.167 ##8,12,17,26 
October 14, 16, 18  §3.5 Derivatives of Trigonometric functions 
§3.6 The Chain Rule 
p.175 ##5,8,13,24,30,36,40,42 
p.183 ##11,13,20,27,35,39,52,69,72 
October 21, 23, 25 §3.7 Implicit Differentiation 
§3.8 Higher Derivatives 
p.190 ##13,15,17,37,39,45,51 
p.197 ##15,18,31,39,45,51,53 
October 28, 30, November 1  §3.9 Related Rates 
§3.10 Linear Approximation and Differentials 
Review 
p.203 ##7,8,17,18,22 
p.211 ##29,34,35,40 
November 4, 6, 8  Test II, November 4 
§4.1 Maximum and Minimum Values 
 
 
November 11, 13, 15  §4.2 The Mean Value Theorem 
§4.3 How Derivatives Affect the Graph 
p.231 ##47,49,51,54,74 
p.239 ##2,13,17,21,25,26 
November 18, 20, 22  §4.4 Limits at Infinity: Horizontal Asymptotes 
§4.5 Curve Sketching 
p.247 ##15,17,20,22,34,48,55 
p.260 ##13,18,23,39 
p.270 ##9,15,21,29,39 
November 25 §4.7 Optimization Problems 
p.282 ##5,9,18,23,25,35 
 
December 2, 4, 6  §4.8 Applications to Economics 
§4.9 Newton's Method 
p.292 ##6,15,21 P.297 ##7,12 
p.304 ##9,12,26,33,57,64,69 
December 9, 11, 13  §4.10 Antiderivatives 
Review for the Final 
 
Final Exam: 1823-001 Tuesday, December 17, 8:00-10:00 a.m.