Martin Flashman's Courses
Math 106 Calculus for Business and Economics
Fall, '06
Current Assignment and Schedule
Tentative Assignments Assignments are official when a due date is assigned.
*Early or Just in time:
When two due dates are given,
the first date is for preparation and/or starting problems,
the second date is for completion of problem work
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On-line Sensible Calculus is indicated by SC.

*Early or Just in time:
When two due dates are given,
the first date is for preparation and/or starting problems,
the second date is for completion of problem work

 Due Date Reading for 3rd Edition Problems CD Viewing [# minutes] Optional *8/21,23 HW #1 A.1 Review of Real Numbers A.3 Multiplying and Factoring  1.1 pp 3-6 BLACKBOARD background assessment quiz.   A.1: 1-21 odd  A.3: 1-13 odd; 31-39 odd Introduction [in class]  How to Do Math [in class] *8/25,28 HW #2 1.1 Functions and tables.  A.5  pp A.22-24   Solving equations A.5 1-7 odd, 13-19 odd Functions [19] HW # 3 8/30 1.2 Graphs   Sensible Calculus 0.B.2 Functions Do the reading first! 1.1: 1-5, 7,9, 12, 15, 16, 22, 23, 25, 33 1.2: 1,2,4,5 [Draw a mapping-transformation figure for each function in this problem] [Read SC 0.B.2  to find out more about the mapping-transformation figure.] Functions [19] HW # 4 9/1 1.3 Linear functions  Summary: Functions and Linear Models 1.2: 13, 17, 31  Draw a mapping figure for each function. 1.3 : 1-9 odd, 11,12,29,41,33 Graphing Lines [28] Try The Blackboard Practice Quiz on Functions On-line Mapping Figure Activities-  (this may be slow downloading) HW #5 9/6 [Changed!] 1.4 Linear Models 2.1 Quadratic functions 1.3: 37- 49 odd, 55, 57, 59 1.4: 1-9 odd 2.1: 1-9 odd, 25, 27, 33 Average Rates of Change [11] Parabolas [22] 1.4: 49 HW #6 *9/8 ,11 [Changed!] 1.4 Linear Models. A.5 ppA23-A25 3.1 Average Rate of Change 3.2 Pages 154-158 The Derivative: A Numerical and Graphical  Viewpoint 1.4:  12, 19, 21,22,25 3.1: 1-10, 13-16, 21, 39, 40 3.2: 1, 2, 5, 9,12 3.1.1 Rates of Change, Secants, and Tangents (Disc 1, 18:53) On-line Mapping Figure Activities-  (Again... ;) The Two Questions of Calculus [10] HW #7 *9/11,13 3.2 derivative estimates  3.3 The Derivative: An Algebraic Viewpoint 3.2: 13, 16, 17, 19, 20; 23, 24  Use  "4-step process" from class 3.3: 1, 2, 5 [Ignore the problem instruction!] 3.1.2 Finding Instantaneous Velocity (Disc 1, 19:57) HW #8 9/13 3.2 (graphical) 3.3 The Derivative: An Algebraic Viewpoint 3.2: 33, 47, 49, 57, 58, 71, 83 3.3: 6,13 ,15,17, 23, 25 [Use  "4-step process"] 3.1.3 The Derivative (Disc 1, 11:14) Blackboard Practice Quiz on Slopes of Tangent Lines using 4 steps. 9/15 To replace class Watch the videos listed- DO THIS with a partner if possible! 3.4 The Derivative:  Simple Rules 3.3 Some Special Derivatives         3.3.1 The Derivative of the Reciprocal Function (Disc 1, 17:56)         3.3.2 The Derivative of the Square Root Function (Disc 1, 15:19) 4.1 The Power Rule         4.1.1 A Shortcut for Finding Derivatives (Disc 1, 14:03)         4.1.2 A Quick Proof of the Power Rule (Disc 1, 9:48)         4.1.3 Uses of the Power Rule (Disc 1, 19:43) HW #9 9/18, 20 [changed!] 3.2 Derivative function graphs, interpretation 3.3 The Derivative: An Algebraic Viewpoint 3.2 :39, 41, 42, 59-64, 97,98, 109, 110 3.4:1-11 odd; 14-17; 19-21 .2.1 The Slope of a Tangent Line (Disc 1, 11:16) 3.2.3 The Equation of a Tangent Line (Disc 1, 17:53) 3.2: 73,74, 86 HW #10 9/20 [changed] 3.4 (Again)  3.4 The Derivative:  Simple Rules 3.4: 61, 65, 67, 71, 79; 29, 37, 41, 42, 53, 55, 63, 64 9/22 Summary Weeks 3 and 4 HW #11 9/22 3.5 Marginal analysis  Chapter 3 Summary as relevant. 4.1 Product Rule only! pp 241-244 3.5: 1,5,6,9,11,13 3.5: 19, 21,28 4.1: 13, 15, 16, 21, 22 4.2.1 The Product Rule (Disc 1, 20:43) 3.2.2 Instantaneous Rate (Disc 1, 14:38) 3.2: 65 HW #12 9/25 4.1: Quotient Rule 4.1: 35, 37, 38, 43; 53, 59, 62 4.2.2 The Quotient Rule (Disc 1, 13:10) HW #13 9/27 4.2 The Chain Rule 4.1: 63, 64, 71, 73 4.2 : 13- 17, 55 4.3.1 An Introduction to the Chain Rule (Disc 1, 17:51) HW #14*9/29,10/2 4.2 The Chain Rule 4.4 Implicit Differentiation (Skip Examples 2 and 3!) 4.2: 25, 26, 33, 35 4.4 :11, 12, 15, 35, 36, 47 4.3.2 Using the Chain Rule (Disc 1, 12:53)6.1.2 Finding the Derivative Implicitly (Disc 2, 12:14) 6.1.1 An Introduction to Implicit Differentiation (Disc 2, 14:43) HW #15 *10/2, 10/4 5.4 Related Rates Especially  Ex. 1-3 4.2: 47, 51, 53, 61, 62, 65 5.4: 9, 11, 13 (watch Ed for #11) 7.3.2 The Ladder Problem (Disc 2, 14:18) More on Instantaneous Rate [19] 4.4: 536.2.1 Using Implicit Differentiation (Disc 2, 22:24) HW #16 10/4 A.2: Exponents A.2: 15,19, 23, 39, 41, 71 7.3.3 The Baseball Problem (Disc 2, 18:21) 3.1.4 Differentiability (Disc 1, 2:35) 7.3.5 Math Anxiety (Disc 2, 5:30) HW #17 *10/6,10/9 5.4 Related Rates 2.2: Exponential Functions 5.4 17,  21, 25 2.2 : 3,4,9,11, 7, 13, 17 5.2.1 Graphing Exponential Functions (Disc 1, 10:08) HW #18 10/11 2 5.2.2 Derivatives of Exponential Functions (Disc 1, 23:17).2 pp94-104(middle) exp'(x) = exp(x) Notes. 2.2: 45, 47, 51, 63, 73, 59, 61 4.3: 7,8,45,51,53,85 5.2.2 Derivatives of Exponential Functions (Disc 1, 23:17) Sample Exam #1 Chapter 3 review: 2,3,4,5,9  Chapter 4 review: 1(a-d), 2(a,b), 4(a,b) Chapter 5 review: 7 Thursday Oct. 12th EXAMINATION  # 1 will cover material from Assignments till HW #15 and related sections of the text. HW #19*10/16, 18 2.3: pp. 110-116 [Logarithmic functions] Log's Properties (on line). 4.3: Examples 1-5; pp 265-267. Derivatives for Log's & Exponential Functions 2.3: 1-4, 19 4.3:1,2,15,17,19 2.3: 5, 7, 20, 21, 25,31, 45a, 48 a 4.3: 23, 27, 29, 33, 73 5.3.1 Evaluating Logarithmic Functions (Disc 2, 18:37) 5.3.2 The Derivative of the Natural Log Function (Disc 2, 13:24) Sensible Calculus I.F.2 HW #20 *10/18,20 2.3  Example 3 4.4 log differentiation Ex. 3 2.3: 9, 11, 15 4.4: 31 , 32 Slide Rules! UNDERSTAND HOW + WHY a slide works, a full explanation HW #21 10/20 3.6: limits (numerical/graphical)  P209-216 omit EX.3. 3.7: limits and continuity 3.8 limits and continuity (alg) pp225- 228 3.6: 19, 21(a,b), 23(a-e), 25(a-e), 26(a-e) 3.7: 13,14, 15 2.1.5 One-Sided Limits (Disc 1, 5:18) 2.1.6 Continuity and Discontinuity (Disc 1, 3:39) HW #22 *10/23,25 The Intermediate Value Theorem 3.8 pp225- 230 middle: limits and continuity (alg)  On-line: cont and diff. 5.1:  Maxima and Minima 3.7: 20,27, 28 3.8: 39, 41, 46, 53 7.4.1 The Connection Between Slope and Optimization (Disc 2, 27:18)8.2.1 Critical Points (Disc 2, 17:43) 8.1.2 Three Big Theorems (Disc 2, [Begin-3.5min]) continuity and differentiablity on-line materials( A and B) HW #23 *10/25, 27, 30! 5.1:  Maxima and Minima 5.2. Applications of Maxima and Minima 5.1: 1-7 odd, 8-10, 12, 13, 15, 21, 23, 24, 25 5.1: 35,  39, 41, 44 5.2: 5, 11, 13 7.4.2 The Fence Problem (Disc 2, 25:03)  8.1.1 An Introduction to Curve Sketching (Disc 2, 8:44) HW #24 10/27 5.2. Applications of Maxima and Minima 5.2:15, 21 7.4.3 The Box Problem (Disc 2, 20:38) 7.4.4 The Can Problem (Disc 2, 20:47) HW #25 10/30 5.1:  Maxima and Minima 5.3 2nd deriv.pp317-320 Be sure to do Assignment #23 5.2: 25,  27, 29 5.3: 1-5,7,9,11,14 7.1.1 Acceleration and the Derivative (Disc 2, 5:44) 8.2.3 The First Derivative Test (Disc 2, 2:46)  8.2.2 Regions Where a Function Increases or Decreases (Disc 2, 20:17) HW #26 11/1 5.2 and 5.3 again! 5.3 : 17-20, 23; 25, 29,31 5.2: 33, 35, 41, 45 8.3.1 Concavity and Inflection Points (Disc 2, 13:12)  8.3.2 Using the Second Derivative to Examine Concavity (Disc 2, 17:01) 7.2.1 Higher-Order Derivatives and Linear Approximation (Disc 2, 20:57)[first 5 minutes only!] HW #27 *11/3, 11/6 3.6: p212-216 3.8: p229 5.3: p321-324 5.3: 35- 37,41, 63, 67 3.6: 1-11 odd Graphs of Poly's [10] The 2nd Deriv. test [4] Vertical asymptotes [9]  Horizontal asymptotes  [18] Functions with Asymptotes and criti' pts [17] HW #28 11/6 3.6,3.8  Review! 3.8: 15,17,21,23,33,35,37 3.6: 25, 27,29 5.3: 39, 43, 45 8.5.3 Graphing Functions with Asymptotes (Disc 2, 10:15) 8.5.4 Functions with Asymptotes and Holes (Disc 2, 3:28) HW #29 11/8 6.1 The Indefinite Integral  p 353-358 Differential equations and integration SC IV.A On-line tutorial for 6.1. On-Line: Linear Estimation 6.1: 1-13odd 7.2.2 Using the Tangent Line Approximation Formula (Disc 2, 24:22) 9.1.2 Antiderivatives of Powers of x (Disc 2, 17:56)9.1.1 Antidifferentiation (Disc 2, 13:59) On-line Problems on Linear Estimation   L1-6; A1-5; App1-3 HW #30 11/13 6.1 Applications p 359-361 6.1: 15,17, 27, 35, 41-44,51 EXAMINATION  # 2 will cover material from Assignments HW #16 to HW #30 and related sections of the text. For Sample Exams II see Blackboard Review for Exam #2: (will not be collected): p 136: 2,3,4 p288: 1(a,e,g,i),2(c,d),3a,8a p350: 1(a,d,f),2,4a,5(a-c) p362: 39 p407: 1(a,b) HW #31 11/17 IV.E 6.2 Substitution pp364-367 6.3. The Definite Integral As a Sum. p 373-376, 380 6.2: 1-6; 21,23 6.3: 1-5 odd, 15, 19, 21 9.4.1 Approximating Areas of Plane Regions (Disc 3, 9:39)10.1.1 Antiderivatives and Motion (Disc 3, 19:51) SC.III.AThe Differential HW #32 Over  Break! 11/27 6.4 The Definite Integral: Area p384-386 6.5 pp392-395    The Fundamental Theorem 6.4: 1-5 odd, 21 6.5 : 17-20; 67,68 9.2.1 Undoing the Chain Rule (Disc 3, 8:30) 9.4.2 Areas, Riemann Sums, and Definite Integrals (Disc 3, 13:40)9.4.3 The Fundamental Theorem of Calculus, Part II (Disc 3, 16:28) 9.4.4 Illustrating the Fundamental Theorem of Calculus (Disc 3, 13:55) 9.4.5 Evaluating Definite Integrals (Disc 3, 12:53) SC IV.E 9.2.2 Integrating Polynomials by Substitution (Disc 3, 15:24) HW #33*11/29, 12/1 6.5 pp 395  - 396 8.1 Functions of Several Variables. p467-471 5.5 Elasticity and other economic applications of the derivative 6.5: 27-30, 61,63 8.1: 1-9 odd, 19, 20, 21, 29, 39, 43 9.3.2 Integrating Composite Exponential and Rational Functions by Substitution (Disc 3, 13:30) HW #34 *12/1,12/4 6.4  pp 384- 388 6.2 pp 368-371 Substitution 6.5 example 5 8.3 pp 490 - 492 6.2: 27-33,59, 60 6.5: 45,47,59,63,64 8.3:  1- 7 odd, 13, 41, 45 10.2.1 The Area between Two Curves (Disc 3, 9:04) HW #35 12/6? 7.2 pp416-420 (area between curves) 7.2 p420-426 (Surplus and social gain) 7.3  pp 430-431 7.5 p 442-445 + 8.2 8.4 p498-501 Critical points 7.2:1,3,5,11, 15 7.2: 25, 37, 49 7.3: 1- 5odd, 29, 35a 7.5: 1-7 10.2.2 Limits of Integration and Area (Disc 3, 15:16) 18.1.1 Finding the Average Value of a Function (Disc 4, 8:18) 17.1.1 The First Type of Improper Integral (Disc 4, 9:42) 17.1.3 Infinite Limits of Integration, Convergence, and Divergence (Disc 4, 11:50) 5.5: 1, 3, 14 3.7, 5.3 Review p321-323 3.7: 15,17, 28-30 5.3: 47, 51, 63, 71 6.1: 53-55, 57 Cusp points &... [14] Graphing, Technology problems from lab SC IV.E Solution to 7.2:42 (See the student solutions manual). 8.2 8.4 p498-501 Critical points 8.3 Second order partials 8.2: 1-9 odd; 11-18; 19-25 odd;41, 49 8.4: 1-9 odd, 33, 37 8.3: 19-25 odd; 29,33,38,51, 53 The 20 minute review. Reading INVENTORY Problems INVENTORY CD Viewing INVENTORY Optional INVENTORY 7.5 8.4 pp 504-505 7.5: 11, 13, 17 8.4 :13, 15,17,19 The second type of ... [8] The 20 minute review. 7.6 7.6: 1,3,13 7.4 Future and present value. Common Mistakes [16] The 20 minute review. Future and present value. Probability and  DARTS 7.4:1, 9, 21, 27 3.6: 31 3.8: 11-25 odd; 39-42 6.5  396-398 6.4:22 6.5: 9,11,41-45 odd, 42, 65,81 7.3:25 7.6:25, 27 Domain restricted functions ...[11] Three  Big Theorems [11]   5.2: 56 Gravity and vertical motion [19]  Solving vertical motion [12] Distance and Velocity [22] 8.2: 45

 Monday Wednesday Friday Week 1 8-21 Course Introduction Numbers, Variables, Algebra Review Begin Functions. More Algebra review. More functions review The coordinate plane.  Functions, graphs. Week 2 8-28 Functions, graphs and models. Points and Lines. Especially Lines and models. More Functions and Models: Linear Functions. Slopes, rates and estimation. More linear models. Quadratic functions. Summary of Weeks 1&2 Due Friday 3 pm. 9-4 NO Class.... LABOR DAY More Quadratics.Extremes and the tangent problem. Average rates, and slopes of secant and tangent lines. Instantaneous Rates. The Derivative More Motivation: Marginal cost, rates and slopes. The Derivative and algebra. Week 4 (Graphing, Technology) 9-11 More on finding the derivative. More: Finding the derivative as function. Begin: The Derivative Calculus Graphical Derivative as function graphs Class Meeting  Cancelled Watch Assigned Viewing from  Thinkwell CD. Justification of the power rule. Week 5 Summary of Weeks 3&4. Due Friday 3 pm. 9-18 Justify the sum rule. Discuss Sum rule interpretations. Constant Multiple Rule Interpretations. Marginal Applications. Applications: Marginal vs. Average Cost Start Product rule. Justify product rule. Start Quotient Rule. Week 6 9-25 More on the Quotient rule. The Chain Rule More Chain Rule Implicit functions. Implicit Differentiation More Implicit Functions and related rates. Week 7 Summary of Week 5&6  Due Friday 3 pm. 10-2 Examples: f  does not have a derivative at a. Begin Exponential functions Interest and value More on exponentials. Derivatives of exponentials, esp'ly exp'(x)=exp(x). Week 8 Midterm Exam #1 Self-Scheduled Thursday 10-12 10-9 Finish derivatives of esp's, etc. Logarithmic functions. Start Logarithmic functions. Review for Exam #1 Derivatives of Logarithms and Exponentials Logarithmic differentiationMore on models with exp and log equations. Week 9 Summary of Weeks 7 and 8  Due 4pm  Friday 10-16 Logarithmic scales. Slide Rules!? limits and continuity, Continuity More on continuity and limits. IVT Week 10 10-23 Begin Optimization  and  First Derivative Analysis The fence problem. More Optimization and Graphing. Optimization  and IVT First Derivative Analysis Optimization: revenue example Begin Second Derivatives- acceleration Concavity and Curves Week 11 Summary of Weeks  9 & 10 Due Friday 10-30 More on Concavity Horizontal Asymptotes. . Vertical Asymptotes Week 12 11-6 Linear Estimation and "Differentials." Begin Differential equations and integration IV.A Estimating cost changes from marginal costs. Costs, marginal costs, and estimation. More DE's. Acceleration and integration 11-10 No Class Veteran's Day Holiday. week 13 Self Scheduled   Exam #2 Tuesday 11-14 Lab ? 11-13 Relative error. Differential Notation(started) Introduction to the definite Integral. Euler's Method. IV.E Start Substitution! The Definite Integral Riemann Sums  and Estimating Area . Finding area by estimates and using anti-derivative The definite integral and The FTofC. Week 14 Fall Break- No Classes 11-20 Fall Break Week 15 Summary of Weeks 12-15 Due Friday 11-27 More Area and applications:  Interpreting definite integrals. Fundamental Theorem I Intro to functions of  2 or more.  Functions of many variables. Tables for 2 variables. Geometric Area. Average Value. Partial derivatives. 1st order. Elasticity Substitution in definite integrals linear estimation. Consumer& Producer Surplus; Social Gain. Week 16 12- 4 Visualizing Functions of 2 variables: level curves, graphs of z=f(x,y)and 2nd order partial derivatives  Extremes (Critical points) Improper integrals I Least Squares example Improper Integrals I and II Future and present value. Applications of linear regression to other models using logarithms DE's -Separation of variables: Growth models and exponential functions. Probability and  DARTS? ???? Week 17 Final Examination Review Session  Sunday **pm Lib 56 Self Schedule for Final Examinations