Calculus Standard Assignment List
“Are you ready for Calculus?” worksheet; Day 1: #1-18 a and b only; Day 2: #19-36 a and b only Section 1.1: A Preview of Calculus; Read pg. 42-46 and write at least 1-2 paragraphs about what calculus is, typed in MLA format. Complete the exploration problem on pg. 46. Copy all graphs and include a minimum 2 sentence written explanation. Section 1.2: Finding Limits Graphically and Numerically; p.54-56 #6-9, 11-19 odd, 49, 51, 52 Section 1.3: Evaluating Limits Analytically; p.67 # 3, 4, 11, 17, 23, 27-35 odd, 37, 44, 45, 48, 49, 53, 59, 67, 77, 83, 84, 101 Section 1.4: Continuity and One-sided limits; p.79 # 1-19 odd, 25, 29-45 odd, 55, 57, 59, 71, 75, 79, 83, 100 Section 1.5: Infinite Limits; p.85 # 1-5, 9-19 odd, 23,33 - 49odd, 55 Chapter 1 Review; p.88 # 5, 6, 11-27 odd, 31, 33, 36, 38, 39, 41, 47, 49, 51-67 odd, 70 Test Chapter 1 Section 2.1: The Derivative and the Tangent Line Problem; p. 101 # 1-23 odd Section 2.2: Basic Differentiation Rules and Rates of Change; p.115 # 3-11 odd, 31, 35, 39, 43,47 Section 2.3: Product Rule; pg. 126 #1-6 all Section 2.3: Quotient Rule; pg. 126 #7-12 all Section 2.3: Derivative Practice; pg. 126 #13-17 odd, 27, 62, 63, 69, 75 Section 2.4: The Chain Rule; p.137 # 7-31 odd, 45, 49, 53, 55, 65, 67, 68, 77, 79, 80 Section 2.5: Implicit Differentiation; p.146 #5, 11, 23, 28, 35 Section 2.6: Related Rates; p.154 # 3, 15, 18, 19, 20 Chapter 2 Review; p.158 # 3, 6, 7, 9, 11, 17, 23, 29, 35, 45, 53, 59, 65, 89, 99, 103, 105, 107, 108 Test Chapter 2 Section 3.1: Extrema on an Interval; p.169 # 2, 5, 9, 11, 13, 21, 29, 35b, 37, 43, 58 Section 3.2: Rolle’s Theorem and the Mean Value Theorem; p.176 # 3, 7, 15, 25, 27, 29, 33, 43 Section 3.3: Increasing and Decreasing Functions and the First Derivative Test; p.186 # 3, 7, 11, 21, 29, 33, 37, 45, 62, 75 Section 3.4: Concavity and the Second Derivative Test; p.195 # 1-6, 11, 13, 15, 17, 21, 49, 50, 58 Section 3.5: Limits at Infinity; p.205 # 1-7, 13, 16, 17, 19-33 odd Section 3.6: Curve Sketching; p.215 # 1-4, 7, 9, 15, 17, 19; Section 3.7: Optimization; p.223 # 16, 17, 18, 19 Chapter 3 Review: p.242 # 1-23 odd, 24, 25, 29, 34, 36, 37, 41, 42, 45, 53, 64, 66, 75 Test Chapter 3
Section 4.1: Antiderivatives and Indefinite Integration; p.255 # 3, 6-8, 15-41 odd, 55, 58 Section 4.2: Area; pg. 268 #23-29 odd Section 4.3: Riemann Sums and Definite Integrals; p.278 #13, 14, 15, 28, 35 Section 4.4: The Fundamental Theorem of Calculus; p. 291 #4, 7, 9, 12, 14, 15, 16, 18, 22, 23, 24, 27, 28, 34, 38, 40, 44 Section 4.4: The Fundamental Theorem of Calculus; p. 291 #3, 8, 10, 11, 13, 17, 19-21, 25, 26, 33, 36, 37, 39, 42, 43, 46 Section 4.5: Integration by Substitution (2 days); pg. 304 #1-3, 6-18, 19-23o, 27-30, 39-41, 71-78, 83-85 Section 4.6: Numerical Integration (1 day); p.314 #1-17o Chapter 4 Review (2 days): p. 316 #1-7, 27, 28, 37-48, 51-53, 57-59, 61, 62, 67-72, 81-84, 95, 96 Test Chapter 4 Section 5.1: Differentiation of the Natural Log Function; p. 329 #8-70e Section 5.2: Integration of the Natural Log Function; p. 338 #1-17o, 47-53o Section 5.3: Inverse Functions; p. 347 #1-21o, 29-41o, 71-75o, 91, 92 Section 5.4: Differentiation and Integration of Exponential Functions; p. 357 #1-14, 35-45o, 85-105o Section 5.5: Bases other than e ; p. 366 #1-30 all, 37-48all, 61-74all Section 5.6: Inverse Trig Functions; pg. 377 1-9, 12-14, 16-20, 31-33, 41, 42, 45-51 Section 5.7: Integration of Inverse Trig Functions; pg. 385 1-6, 8-12, 14, 21-24 Chapter 5 Study Guide (handout) Test Chapter 5 Section 6.1: Slope Fields: Worksheet Section 6.1: Slope Fields: pg. 409 #1-12 all Section 6.2: Differential Equations: Growth and Decay; p. 418 #1-10, 15-20, 25-28, 33, 37, 43-48 Review Worksheet For Section 6.3 Section 6.3: Separation of Variables and the Logistic Equation; p. 429 #1-24 all Section 6.3 Review Worksheet Section 7.1: Area of a Region Between Two Curves; p. 452 #1-47 e.o.o. Section 7.2: Finding Volume Using the Disk Method; p. 463 #1-10, 11-27 e.o.o. Chapter 6, 7 Review: p. 441 #1-8 all, 12-22 even; p. 513 #2-18 even Test Chapters 6, 7