Math 240 outline Fall Quarter 2001 Texts: A Custom Companion to Calculus, Thompson Learning Custom Publishing, 2001 Calculus: Concepts and Contexts, Stewart, Brooks/Cole, second edition 2001 The Companion text: 1) contains material from more than one book. The sections therefore may not be listed in the order they were in the original text (i.e., Section 6.4 may come before Section 5.2). 3) has two sets of page numbers - in the top right/left hand corner are the page numbers from the original text; on the bottom are page numbers which consecutively number the pages in this text. 4) page numbers listed in the "Homework" refer to the consecutive page numbers. 5) contains (in the back) the Group Exercise Sheets for the sections in Concepts and Contexts. These sheets may be copied, filled out and handed in with the homework. Date Text/Section/Title Homework Assignment F SEPT 7 M SEPT 10 1.4 Functions (Companion) 1.5 Graphs of Functions, cont. (Companion) T SEPT 11 1.4 Graphing Calculators and Computers (Concepts & Contexts) 2.3 Quadratic Functions (Companion) Pg. 8 # 5,8,22,27,33,37,54,55,59,61 Pg. 17 # 4,5,9,18,26,27,39,46,49,58,62,65 Group Exercise Sheet 1.1: Every Picture Tells a Story Pg. 55 # 1,4,8,9,15,18,19,20,21 Th SEPT 13 F SEPT 14 M SEPT 17 T SEPT 18 Th SEPT 20 F SEPT 21 M SEPT 24 T SEPT 25 Th SEPT 27 F SEPT 28 M OCT 1 3.1 Polynomial Functions and Their Graphs Pg. 40 # 9,10,17,20,23,34,38,47,51,53 (Companion) 1.6 Shifting Reflecting and Stretching a Graph Pg. 40 # 9,10 (Companion) Pg. 54 # 9,18,19,39,44,49,50,55,65,66 6.1 Angles and Their Measurements Pg. 65 # 1,7,10,19,27,35,42,47,55 (Companion) 6.1 Angles and Their Measurements Pg. 65 # 56,59,62,68 (Companion) Pg. 115 # 1,3,4,6 6.2 Defining the Trigonometric Functions Pg. 77 # 2,6,7,14,17,20,26,30,34,37,41,52,58 (Companion) Pg. 115 # 9 6.3 Evaluating the Trigonometric Functions Pg. 86 # 6,16,41,46,50,56,57,64,68,81 (Companion) 6.4 Properties and Graphs of the Sine and Pg. 97 # 1,3,12,19,22,23,24,29,43-48,50,52,65,67 Cosine Functions (Companion) Pg. 117 # 18 6.5 Properties and Graphs of the Other Pg. 111 # 2,7,22,29,38,46,55-58,70 Trigonometric Functions (Companion) Pg. 117 # 15-17,19-20 Test I Sections 1.4 - 1.6, 2.3, 3.1, 6.1 - 6.5 (Companion) and 1.3 (Concepts & Contexts) 1.7 Parametric Curves (Concepts & Contexts) Pg. 81 # 3,4,7,8,10,13, 17,18,20,23,24,29,36 Group Exercise Sheet 1.4: Name that Parametrization 5.1 Exponential Functions and Their Graphs Pg. 131 # 2,5,14,27,29,33,40,45,48,57 (Companion) Pg. 203 # 1,2,3,4,5,19 3.D If-Then Statements (Companion) Pg. 142 # 1 – 5 T OCT 2 1.7 Composite and Inverse Functions (Companion) Th OCT 4 6.6 The Inverse Trigonometric Functions (Companion) 5.2 Logarithmic Functions and Their Graphs (Companion) F OCT 5 Pg. 28 # 14,18,27,29,35,36,44,50,51,54,57 M OCT 8 5.3 Properties of Logarithms (Companion) T OCT 9 5.4 Exponential and Logarithmic Functions (Companion) Pg. 151 # 3,8,11,16,28,31,37,40,51,58,66,69,82 Group Exercise Sheet 1.6: Inverse Functions, Domain and Range Pg. 166 # 2,3,10,15,17,22,26,29,34,37,41,56, 58,67,69-72,77,79-81 Pg. 117 # 25 No calculator unless specifically requested Pg. 178 # 3,9,16,20,21,32,40,48,51,54,59,62,66, 69,71,75,78 Pg. 203 # 6,7,8,10,14 Pg. 189 # 13,16,17,25,26,30,47,49,51,53,56,58,59 Pg. 204 # 11,13 Pg. 200 # 9,14,15,20,27,38,39,42,44,49,53,60,66,74, 76,87,90 Pg. 204 # 15 – 18 Th OCT 11 F OCT 12 M OCT 15 T OCT 16 2.1 The Tangent and Velocity Problems (Concepts & Contexts) 2.2 The Limit of a Function (Concepts & Contexts) Pg. 99 # 1,2,4,5,8 Group Exercise Sheet 2.1: Slope Patterns Pg. 109 # 1,2,4,6,8,10,12,16,19 Group Exercise Sheets 2.2: An "Interesting" Function Group Exercise Sheet 2.2: A "Jittery" Function Pg. 288 # 2,5,10,1,29,42,45 4.1 Rational Functions and Their Graphs (Companion) Test II Sections 1.7, 3.D, 5.1 - 5.4, 6.6 (Companion) and 1.4, 2.1, 2.2 (Concepts & Contexts) Th OCT 18 2.3 Calculating Limits Using the Limit Laws (Concepts & Contexts) Pg. 117 # 1,2,3,8,10,15,20,22,23,26,33,35,38,41,43 Group Exercise Sheet 2.3: Exploring Limits Group Exercis Sheet 2.3: Squeeze This! Pg. 214 # 8,17,27,33,40,41,51,54,55,59,64,65,69,78 F OCT 19 3.2 Polynomial Division (Companion) M OCT 22 Pg. 226 # 6,11,14,21,28,31,35,48,54,60,63 T OCT 23 3.3 Factors and Zeroes of Polynomial Functions (Companion) 3.B Algebraic Simplification of Functions (Companion) 4.C Domains of Functions (Companion) Th OCT 25 2.4 Continuity (Concepts & Contexts) F OCT 26 5.A Graphical Interpretation (Companion) M OCT 29 5.B Algebraic Manipulations (Companion) T OCT 30 2.5 Limits Involving Infinity (Concepts & Contexts) Pg. 128 # 1,4,7,8,9,11,13,15,18,30,31,35,38,39,47 Group Exercise Sheet 2.4: Fun with Continuity Group Exercise Sheet 2.4: The Twin Problem Pg. 261 # 1 – 6 Pg. 274 # 1 – 5 Pg. 269 # 1 - 3 b - d,4,6 Pg. 273 # 1,2,4,6 Pg. 274 # 6,7,8,11 Pg. 139 # 4,6,11,12,13,14,19,21,22,23,25,30,35,42,43 Group Exercise Sheet 2.5: Infinite Limits Th NOV 1 6.A Problem Solving (Companion) Pg. 242 # 1 – 9 Pg. 251 # 1 – 6 F NOV 2 Pg. 296 # 1 – 3 Pg. 315 # 2 6.B Applications (Companion) Pg. 308 # 1 - 11 Pg. 315 # 3 - 5,7,8 Test III Sections 3.2, 3.3, 4.1, 3.B, 4.C, 5.A, 5.B (Companion) and 2.3 - 2.5 (Concepts & Contexts) M NOV 5 6.C Secant and Tangent Lines (Companion) T NOV 6 R NOV 8 F NOV 9 M NOV 12 T NOV 13 Th NOV 15 Pg. 314 # 1 - 3 Pg. 315 # 9 2.6 Tangents, Velocities, and Other Rates of Pg. 148 # 3,6,7,8,13,14,16,19,20,24,26 Change (Concepts & Contexts) Group Exercise Sheet 2.6: The Cart and the Horse 2.7 Derivatives (Concepts & Contexts) Pg. 155 # 2,3,4,7,10,13,18,19,22,29,33,34 Group Exercise Sheets 2.7: Order from Chaos Group Exercise Sheet 2.7: Connect the Dots 2.8 The Derivative as a Function Pg. 167 # 2,3,5,8,12,13,20,23,24,27,29,31,35,38,39,47 (Concepts & Contexts) Group Exercise Sheets 2.8: The Revenge of Orville Group Exercise Sheet 2.8: The Derivative Function Test IV 6.A - 6.C (Companion) and 2.6 - 2.8 (Concepts & Contexts) + selected topics 2.10 What Does f ' Say about f? (Concepts & Contexts) 2.9 Linear Approximations (Concepts & Contexts) Comprehensive Final Exam Pg. 178 # 2,3,4,8,10,11,15,18,23,25,28 Pg. 173 # 1,4,6,7,9,13,14 Group Exercise Sheet 2.9: Linear Approximation