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64  A.1 Review of Real Numbers
A.3 Multiplying and Factoring 1.1 pp 36 Online Interactive Algebra Review 
A.1: 121 odd
A.3: 113 odd; 3139 odd Math 106 preliminary problems online 
Introduction [in class]
How to Do Math [in class] 

65  1.1 Functions and tables.
1.2 Graphs A.5 Solving equations ppA.2123 Sensible Calculus 0.B.2 Functions (added 6202) Online Tutorials 
1.1: 15, 7,9, 12, 15, 16, 22, 23, 25, 33
A.5 17 odd, 1319 odd 1.2: Draw a mappingtransformation figure for each function1,2,4,5 [Read 0.B.2 to find out more about the mappingtransformation figure.] 
The Two Questions of Calculus [10]
Average Rates of Change [11] Functions [19] 

66  1.3 Linear functions
1.4 Linear Models. Functions and Linear Models Online Tutorials 
1.2: Draw a mapping figure for each function 13, 15, 29
1.3 : 19 odd, 11,12,15,21,23 
Graphing Lines [28]  
610  1.4 Linear Models.  1.3: 27 39 odd, 45, 47, 49
1.4: 19 odd, 12, 19, 21,22,29 
1.4: 47  Ok... catch up! :) 
611  2.1 Quadratic functions
3.1 Average Rate of Change 
2.1: 19 odd, 19, 21, 27
3.1: 123 odd, 35, 36 
Parabolas [22]
Rates of Change, Secants and Tangents [19] 

612  3.2 The
Derivative: A Numerical Approach
3.3 The Derivative: A Geometric Approach 3.4 The Derivative: An Analytic Approach 
3.2: 1,5,7,9
3.3: 111 odd 3.4:1, 3, 5 
Finding Instantaneous Velocity [20]
The Derivative [12] Slope of a Tangent Line [12] Equation of a Tangent Line [18] *The Derivative of the Reciprocal Function [18] 

613  3.4 (Again)
Chapter 3 Summary as relevant. 
3.2: 13, 17, 19; 33,35, 41
3.3: 13,15,17, 23, 25, 39 3.4: 1133 odd 
Instantaneous Rate [15]
More on Instantaneous Rate [19] *The Derivative of the Square Root [16] 

617  3.4 (Again)
3.5 Marginal analysis 
3.4: 1133 odd [redo]
3.4: 39,45,49,51,61,63 3.5: 1,5,6,7,9, 11 
Differentiability [3]
Short Cut for Finding Derivatives [14] Uses of The Power Rule [20] 

618  3.5 (Again)
4.1 Product Rule 
3.4: 71, 75, 77, 81, 85, 87, 88
3.5: 15, 17,19, 25, 27 4.1: 13, 15, 17, 21 
3.6: 29  The Product Rule [21] 
619  4.1: Quotient
Rule
4.2 The Chain Rule 
4.1: 43, 47, 55; 27,29, 31, 39  The Quotient Rule [13]
Introduction to The Chain Rule [18] 

620  4.2 The Chain Rule  4.2 : 13 21 odd, 55  Using the Chain Rule [13]
Intro to Implicit Differentiation [15] 

624  4.5 Implicit Differentiation (Skip Examples 2 and 3!)
A.2: Exponents 
4.2: 47,51, 53, 63, 64
4.5 :11, 15, 39, 41, 51 A.2: 15,19, 23, 39, 41, 71 
4.5: 57  Finding the derivative implicitly [12]
Using Implicit Differentiation [23] The Ladder Problem [14] 
625  5.4 Related
Rates
2.2: Exponential Functions and their Derivatives Sensible Calculus I.F.2 
POW
#1 is Due.
5.4: 9, 11, 13, 17, 21, 25 2.2: 3, 7, 9,11, 13, 17, 55, 61, 73 4.3: 7,8, 45, 51, 53, 85 
The Baseball Problem [19]
Exponential Functions [10] Derivatives of Exp'l Functions [23] 

626  2.3: Logarithmic functions  REDO 2.2: 3, 7, 9,11, 13, 17, 55, 61, 73  Logarithmic Functions [19]  
627  2.4: Derivatives for Log's
Sensible Calculus I.F.2 
2.3: 15, 7, 13
4.3:1,2, 1519 odd, 23 
Derivative of log functions [14]  
71  4.5 Example 3  4.5: 35
Midterm Exam #1 covers assignments though 627. 
Chapter 3 review: 2,3,4,5,9
Chapter 4 review: 1(ad,g,i), 2(a,b), 4(a,b) 

72  3.6: limits and continuity  Acceleration & the Derivative [6]
Distance and Derivative [22] One Sided Limits [6] Continuity and discontinuity [4] 

73  3.7: limts and continuity
The Intermediate Value Theorem 
Higher order derivatives and linear approximations.[21]
Three Big Theorems [Begin3.5] 

78  3.6 and 3.7 (Again?!)
5.1: Maxima and Minima 
3.6: 21,22, 25 (ae), 31
3.7: 5962 5.1: 111 odd 
Three Big Theorems [11]
The connection between Slope and Optimization [28] The Box Problem [20] Math Anxiety [6] 

79  5.1: Maxima
and Minima (again)
5.2. Applications of Maxima and Minima 
5.1: 13,15,21,23,25, 35, 39, 41, 44
POW #2 is Due. 
Intro to Curve Sketching [9]
The Can Problem[21] Critical Points [18] The First Derivative Test [3] 

710  5.2. Applications
of Maxima and Minima
5.3 2nd deriv. 
5.2: 5, 11, 13
5.3: 1,5,7,9,11,13 
Regions where a function is increasing...[20]
Concavity and Inflection Points[13] Using the second derivative [17] Morale Moment 

711  3.6 and 3.7 again!
More 5.3 
5.2: 15, 21, 25, 27, 29, 33, 41, 43
5.3 : 1723 odd; 25, 29,31, 35, 37 
5.2: 56  Graphs of Poly's [10]
Cusp points &... [14] Domain restricted functions ...[11] The 2nd Deriv. test [4] Horizontal asymptotes [18] 
715  More 5.3  3.6: 111odd
5.3: 39, 41, 43, 45, 47, 51, 67 
Vertical asymptotes [9]
Graphing ...asymptotes [10] Functions with Asy.. and holes[ 4] Functions with Asy..and criti' pts [17] 

716  5.5 Elasticity and other economic applications of the derivative.
OnLine: Linear Estimation 
5.3: 73
5.5: 1, 3 Online Problems on Linear Estimation L16; A15; App13 
III.AThe Differential  Using tangent line approximations [25]
Antidifferentiation[14] 
717  Differential equations and integration IV.A
6.1 The Indefinite Integral p 315321 
6.1: 119 odd, 27, 37  Antiderivatives of powers of x [18]  
718  6.1 Applications p321323
6.3. The definite Integral As a Sum. 6.4. The definite Integral: Area p345348 
6.1: 4346,49,53, 5557, 59
6.3: 15 odd, 19, 21 
Approximating Areas of Plane regions [10]
Areas, Riemann Sums, and Definite Integrals [14] 

722  6.4
6.5 {omit example 5) The Fundamental theorem 
6.4: 15 odd, 21, 23, 27
6.5 : 1723 odd; 59,61 
The Fundamental theorem[17]
Illustrating the FT[14] Evaluating Definite Integrals [13] 

723  Midterm Exam #2 covers assignments though 718 including 6.1 but not 6.3.  Antiderivatives and Motion [20]
Gravity and vertical motion [19] Solving vertival motion [12] 

724  6.5 360361
6.2 Substitution pp326329 (omit ex. 5) 
6.5: 2932;71; 5155odd
6.2: 17 odd; 25,27 
Undoing the chain rule.[9]
Integrating polynomials by Substitution [15] Integrating composite exponential and rational functions by substitution [13] 

725  6.2 pp 330331
6.5 example 5 ? 7.2 pp380383? 
6.5: 9,11,3743 odd,67,81
6.2: 35,37,39,63, 64 6.4:22 
Area between two curves [9]
Limits of integrationArea [15] Common Mistakes [16] 

729  7.2
7.3 pp 393394+ 
7.2:1,3,5,11; 15, 25, 37, 49  Finding the Average Value of a Function [8]  
730  7.3
8.1 Functions of Several Variables. 
Summary is Due
7.3: 15 odd, 29, 39a 8.1: 19 odd, 19, 20, 21, 29, 39, 43 

731  8.2
and 8.3
7.6 
8.2: 19 odd; 1118; 1925 odd;41, 49
8.3: 1 7 odd, 13, 41, 45 7.6: 1,3 
8.2: 45  
81  8.3  8.2:1925 odd (again)
8.3: 1925 odd; 29,33,38,49 
The first type of improper integral[10]  
85  7.5 p 407408
8.4 
7.5: 17
8.4: 19 odd, 31, 35 
The second type of ... [8]
Infinite Limits of integration ... [12]? 

86  2.3  Summary is Due
Check online quiz #17 ! 2.3:1,3,4,5,7,11,13,31 
The 20 minute review.  
87  7.4
7.5 
7.4:1, 9, 25, 31
7.5:11, 13, 17 

88  Final Examination: Covers all work from summer.Till work assigned
for 85.
Two parts. I. Distributed 87 at end of class. Due by 5pm II In class on 88. Reviewed summaries allowed for reference for inclass work. 

Monday 

Wednesday  Thursday 
Week 1  63 Course Introduction
Numbers, Variables, Algebra Review 
64 More Algebra review and The coordinate plane.
Begin Functions 
65 More Algebra review.
Functions, graphs and models. 
66 More Functions and Models: Linear Functions. 
Week 2  610 Functions, graphs, technology.
Slopes, rates and estimation. Quadratic functions. 
611 The fence problem?
The Derivative. Motivation: Marginal cost, rates and slopes. 
612 More on the Derivative. Begin the Derivative Calculus  613 The Derivative Calculus I 
Week 3
Summary of Weeks 1&2 Due 617. 
617 Justify Powers & Sums.
Marginal Applications Product rule. Justify product rule? 
618 The Quotient rule.  619 Justification of the power rule and the sum rule.
The Chain Rule 
620 Implicit Differentiation
More Chain Rule 
Week 4
POW #1 Due 625 
624 Implicit Functions and Related rates.
Start Exponential functions Interest and value. Derivatives of Exponentials. 
625 More related rates.
Logarithmic functions. 
626 Derivatives of Logarithms  627 Logarithmic differentiation. Models using exponentials 
Week 5
Summary of Weeks 3&4 Due 71. 
71 Examination I  72 limits and continuity
IVT Bisection Method 
73 More IVT
Begin First Derivative Analysis Optimization 
74 No Class  Holiday 
Week 6
POW #2 Due 79 
78 . More First Derivative analysis.
More Optimization 
79 More optimization and Second Derivative Analysis Higher order Derivatives  710 Curves III
More on Concavity 
711Horizontal Asymptotes.
Vertical Asymptotes 
Week 7
Summary of Weeks 5&6 Due 715. 
715 Differentials .
Relative error. 
716 More on differentials.
Begin Differential equations and integration IV.A 
717 Estimating costs from marginal costs. Introduction to the
definite Integral.
More DE's. 
718Finding area by estimates and using antiderivatives
The definite integral. FT of calculus I 
Week 8
POW #3 Due 724 
722More on the defintie integral and The FTofC.
Area. Euler's Method and Area IV.E? 
723 Examination II
Substitution 
724
Substitution in definite integrals More area and applications. 
725.More Area and applications:
Consumer& Producer Surplus; Social Gain. Interpreting definite integrals. 
Week 9
Summary of Weeks 7&8 Due 730. 
729
Intro to functions of 2 or more. Average Value. 
730 Functions of 2 variables: level curves, graphs.Partial derivatives.
1st order.
DE's Separation of variables: Growth models and exponential functions. 
731 More on graphs of z=f(x,y)
2nd order partial derivatives 
81
Extremes (Critical points) Improper integrals and value 
Week 10 : Summary of Weeks 9&10
Due 86. 
85 Least Squares.  86 Applications of linear regreession to other models using logarithms
Future and present value 
87 Breath!
Probability Final Examination Part I distributed. Due 88 by 5 pm. 
88 Final Examination
Part II 
Every two weeks partnerships will submit a response to the "problem/activity
of the week." All cooperative problem work will be graded as
follows: 5 well done, 4 for OK, 3 acceptable,
or 1 unacceptable.
Summary work will be used along with the
problem of the week grades will be used in determining the 50 points allocated
for cooperative assignments.
Reality Quizzes  100 points 
2 Midterm Examinations  200 points 
Cooperative work  50 points 
Final Examination  200 or 300 points 
Total  550 or 650 points 
You may use my office hours for some additional work on these background areas either as individuals or in small groups. My office time is also available to discuss routine problems from homework after they have been discussed in class and reality check quizzes as well as using technology. Representatives from groups with questions about the Problem of the Week are also welcome.
I will try to organize and support additional time with small (or
larger) groups of students for whom some additional work on these background
areas may improve their understanding of current coursework.
Regular use of my time outside of class should be especially useful
for students having difficulty with the work and wishing to improve through
a steady approach to mastering skills and concepts.
Don't be shy about asking for an appointment
outside of the scheduled office hours.