MT#2 MS 120 Fall 2008
Assign. Page Problems** Type of Problem
*3.1T 193 1-17 Intro to Limits from Tables of Values
*3.1G 193 19-29 Intro to Limits from Graphs
*3.2G 200 1-13 Continuity from Graphs
*3.3F 208 1-49 Continuity from Functions, or Algebraically
3.4T&G 218 1-11 Average Rate of Change from Tables & Graphs
3.4F 219 13-23 Average Rate of Change from Function Notation
3.4A 219 25-33, 43, 44 Average Rate of Change: Applications.
3.5T 238 1-11 Estimating Derivatives Using the Difference Quotient With Tables: (May have to create
the table.)
3.5G 238 13-35; 59-64 Understanding & Estimating Derivatives from Graphs
3.5F 240 37-39 Estimating Derivatives Using the Difference Quotient from Functions: (Use a value of h
= 0.0001)
3.6Fa 253 1-11; 15-23 Finding Derivatives by the Definition: Using the Limit of the Difference Quotient as h
goes to 0.
3.6Fb 254 39-44 Finding the Equation of Tangent Line at a Point (Use the short method for finding f'(x))
3.6A 254 45, 46 Applications of the Derivative to Instantaneous Velocity (May use short method for
finding f'(x))
3.7Fa 265 1-31; 35-42; 45-52 Derivatives of Constants, Power Forms, and Sums by the Short-Cut: (Direct Method
Bypasses Definition)
3.7Fb 266 53-70 Slopes of Tangent Lines, Equations of Tangent Lines; Finding Horizontal Tangents
3.7A 266 93, 95, 99, 100, 101, 103 Applications of Derivatives
3.8F&G 276 1-7 Marginal Analysis from Given Functions or Graph
3.8A 277 9-25 Applications of Marginal Analysis
Ch3R 282 13-33; 41-45 Chapter 3 Review: These problems can be helpful as a part of the review process.
Ch*3R 281 1-11 Chapter *3 Review: These problems can be helpful as a part of the review process for
Limit Problems.
4.1F 304 1-67 Derivatives of Products and Quotients
4.1A 305 69,71, 75, 77; 81-84 Applications
4.2F 316 1-41; (43-59)* Chain Rule: Derivatives of Functions Raised to Powers (*Optional)
4.3F 327 1,5,7-10,15-36,41-49,51-58,65 Derivatives of Logarithmic and Exponential Functions: (Some will require use of the
Chain Rule)
4.4F 337 1-21; 31-37; 43-52 Implicit Differentiation
Ch4R 339 1-31 Chapter 4 Review:These problems can be helpful as a part of the review process.
5.1G 361 1-11; 49-55 Determining Maxima & Minima from Graphs
5.1F 361 13-27 Determining Maxima & Minima from Functions with Given Domain
5.2F 370 1-9 Optimizing Functions with Constraints
5.2A 370 11-29; 53,54; 57,58 Applications of Optimization
5.3F 385 1-15 Second Derivatives
5.3Ga 385 17-31 Understanding Inflection Points of f from Graphs of f, f', & f''
5.3Gb 386 33-47 Graphing Functions: Using properties of f, f', & f''
5.3A 386 59-77 Applications of Second Derivatives (79-84--Bonus Questions only)
5.4A 396 1-23 Related Rates
Ch5R 409 1-27 Chapter 5 Review: These problems can be helpful as a part of the review process.
6.1F 428 1-43 The Indefinite Integral
6.1A 428 45-62 Applications of the Indefinite Integral
6.2F 437 1-39 Integration by Substitution
6.3G 452 19-33 Using Graphs to Determine Definite Integrals
6.4F 463 1-13; 17, 19, 21-31 Definite Integrals & The Fundamental Theorem of Calculus
6.4G 464 43-48 (ALL) Calculating Bounded Areas: (May require Graphing to visualize the problem)
6.4A 464 51-60 Applications of Definite Integrals
Ch6R 467 1-11, 21, 23-35 Chapter 6 Review: These problems can be helpful as a part of the review process.
7.2G 491 1-17 Finding Area Between Two Curves: (May require Graphing to visualize the problem)
8.1F 547 1-9 Functions of Several Variables
8.3F 566 1-11, 19-23 Partial Derivatives
8.5F 585 1-17 Constrained Maxima & Minima; Lagrange Multipliers
8.6F 593 1-15; 37, 39 Double Integrals & Finding Volume
NOTE FOR TEST #2 Remember WS#1 & WS#2
* & ** **Do Odd Problems *Starred sections will probably be covered later in the semester if there is time. *Starred problems are optional.
CODE for ASSIGN #: R-Review; T-Use Tables; G-Graph or Use Graphs; F-Functional or Algebraic Approach; A-Applications