| MATH 141 - CALCULUS I | ||||
| INSTRUCTOR: MRS. SHARYN LININGER | ||||
| TEXT: CALCULUS of a Single Variable (8th ed.) | ||||
| Larson, Hostetler, and Edwards | ||||
| ASSIGNMENTS | ||||
| CHAPTER P - PREPARATION FOR CALCULUS | ||||
| P.1 | Graphs and Models | page 8 | #1-4,19,21,24,27,29,32,39,43; | |
| #47,50,53,57,58,61,64,69,77 | ||||
| P.2 | Linear Models and Rates of Change | page 16 | #1,3,7,13,31,37,41,59 | |
| P.3 | Functions and Their Graphs | page 27 | #1,4,25,31,34,35,39,44,55,57 | |
| P.4 | Fitting Models to Data | page 34 | #1-5,8,12,17 | |
| D.3 | Review of Trigonometric Functions | page D25 | #3,5ab,11b,25,33,37,41,43,51,54,57 | |
| 5.1 | Natural Logarithm (precalculus) | page 329 | #7-10,13,14,20,21,26,29,33 | |
| 5.3 | Inverse Functions (precalculus) | page 347 | #3,8,14,15,30,43,54 | |
| 5.4 | Exponential Functions (precalculus) | page 356 | #1,9,13,21-25,28 | |
| CHAPTER 1 - LIMITS AND THEIR PROPERTIES | ||||
| 1.1 | A Preview of Calculus | page 47 | #5,11 | |
| 1.2 | Finding Limits Graphically | page 54 | #1,4,7-14; | |
| and Numerically | #15-19,21, 23,27 | |||
| 1.3 | Evaluating Limits Analytically | page 67 | #1,2,3,5,10,13,27,31; | |
| #37,40,44,45,48,50,53,57,60,64; | ||||
| #67,69,71,72,74,75,79,81; | ||||
| #87,91,99 | ||||
| 1.4 | Continuity and One-Sided Limits | page 76 | #25-28,33,37,40; | |
| #3,5,7,10,12,15,17,19,21,47,48,58,59; | ||||
| #69-73,79,84,85,91-93 | ||||
| 1.5 | Infinite Limits | page 88 | #1,3,5,10,13,17,23,29,31,35,41,44,52 | |
| 3.5 | Limits at Infinity | page 205 | #21,23,25,26,28,29,31 | |
| CHAPTER 2 - DIFFERENTIATION | ||||
| 2.1 | The Derivative and | page 103 | #1-4,7,37-40,61,64,71,76; | |
| the Tangent Line Problem | #13,18,22,31,81-83 | |||
| 2.2 | Basic Differentiation Rules | page 115 | #1,2,3,25,27,29-31,55,59; | |
| and Rates of Change | #15,17,23,32,35,43,56,61,95 | |||
| 2.3 | The Product and Quotient Rules | page 126 | #1,7,13,18,19,21,25,30,33,39,43,48,52; | |
| and Higher-Order Derivatives | #67,69,71,73,89,94,98,100,102,138 | |||
| 5.4 | Exponential Functions: | page 356 | #33,37,38,41,44,51,55,70 | |
| Differentiation | ||||
| 2.4 | The Chain Rule | page 137 | #1,2,7,13,17,23,27,59,68,94,115,120; | |
| #4,5,39,43,53,73,102,111b,121 | ||||
| 10.2 | Parametric Equations | page 716 | #1,3,5,7,9,21,23 | |
| 10.3 | Parametric Equations - chain rule | page 725 | #1,3,5,7,9 | |
| 2.5 | Implicit Differentiation | page 146 | #2,5,11,15,20,21; | |
| #30,31,33,48,49,58,61 | ||||
| 5.3 | Inverse Functions (calculus) | page 347 | #47,50,77,79 | |
| 5.1 | The Natural Logarithmic | page 329 | #41,47,48,51,56,63,66,83; | |
| Function: Differentiation | #57,78,81,93,95 | |||
| 5.5 | Bases Other than e | page 366 | #35,37,39,45,52,53,55,62,67; | |
| #80,94abc | ||||
| 5.6 | Inverse Trigonometric | page 377 | #5-27 odds,37,40,41,43,45,55,94bd | |
| Functions: Differentiation | ||||
| 2.6 | Related Rates | page 154 | #1,4,7,13,40,41; | |
| #15,18,20,24; | ||||
| #26,27,30,31 | ||||
| CHAPTER 3 - APPLICATIONS OF DIFFERENTIATION | ||||
| 3.1 | Extrema on an Interval | page 169 | #1,3-8,25,55,58; | |
| #13-16; | ||||
| #21,24,25,33,41,44 | ||||
| 3.2 | Rolle's Theorem and | page 176 | #1,2,5,11,14,15,17,20,28,29,53; | |
| the Mean Value Theorem | #35,36,39,42,47,48,51,63,74 | |||
| 3.3 | Increasing and Decreasing Functions | page 186 | #1,5,10,17,27,37,71 | |
| and the First Derivative Test | ||||
| 3.4 | Concavity and | page 195 | #1,2,5,6,27,36,53,56; | |
| the Second Derivative Test | #11,15,17,24,47 | |||
| 3.6 | A Summary of Curve Sketching | page 215 | #10,19,29 | |
| 3.7 | Optimization Problems | page 223 | #3,6,7,13,24; | |
| #20,21,23,41; | ||||
| #49 | ||||
| 8.7 | Indeterminate Forms and | page 574 | #5-10 | |
| L'Hopital's Rule | ||||
| CHAPTER 4 - INTEGRATION | ||||
| 4.1 | Antiderivatives and | page 255 | #5,19,35,38,47,48; | |
| Indefinite Integration | #9,10,14,20,25,27,32,33,39,67 | |||
| 4.2 | Area | page 267 | #1-3,7,8,10,15,16; | |
| #18-20,31,33,39,41,42; | ||||
| #27,29,30,35; | ||||
| #47,48,49,54 | ||||
| 4.3 | Riemann Sums and | page 278 | #3,5,9,10,69; | |
| Definite Integrals | #16,17,23,27,31,42ab,43ab,55 | |||
| 4.4 | The Fundamental Theorem | page 291 | #5,9,14,15,23,27,30,31,33,38,41,75,83; | |
| of Calculus | #89,44,45,47,50 | |||
| 4.5 | Integration by Substitution | page 304 | #1,3,5,7,9,13,51; | |
| #17,43,49,52,63,71,80,82 | ||||
| 7.1 | Area of a Region | page 452 | #1,3,19,21,34,43; | |
| Between Two Curves | #61,62,69,71,76,88; | |||
| #27,30,31 | ||||