| Due Date | Reading for 3rd Edition | Problems | CD Viewing [# minutes] | Optional |
| HW #1 8-26 |
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] |
|
| HW #2 8-27 | 1.1
Functions and
tables. A.5 pp A.22-24 Solving equations |
1.1:
1-5, 7,9, 12,
15, 16, 22, 23, 25, 33 A.5 1-7 odd, 13-19 odd |
Functions [19] | |
| HW # [NONE] 8-30 |
1.2
Graphs Sensible Calculus 0.B.2 Functions |
1.2: 1,2,4,5
[Draw a mapping-transformation
figure
for each function in this assignment] [NO
BLACKBOARD
REPORT!] [Read SC 0.B.2 to find out more about the mapping-transformation figure.] |
Graphing Lines [28] | Try The Blackboard Practice Quiz on Functions |
| HW #3 8-31 |
1.3
Linear functions 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 |
The
Two Questions of
Calculus [10] |
On-line
Mapping Figure Activities- (this may be slow downloading) |
| HW #4 9-2 |
1.4 Linear Models | 1.3:
37- 49 odd,
55, 57, 59 1.4: 1-9 odd |
Average Rates of Change [11] | 1.4:
49 |
| HW #5 9-3 |
1.4 Linear Models. | 1.4: 12, 19, 21,22,25 | On-line
Mapping Figure Activities- (Again... ;) |
|
| HW #6 9- 9 |
2.1
Quadratic functions A.5 ppA23-A25 |
2.1: 1-9 odd, 25, 27, 33 | Parabolas [22] | |
| HW #7 9-10 |
3.1 Average Rate of Change | 3.1: 1-10, 13-16, 21, 39, 40 | Rates of Change, Secants and Tangents [19] | |
| HW #8 9-13 |
3.2 Pages 154-158 The Derivative: A Numerical and Graphical Viewpoint |
3.2: 1,
2, 5, 9,12 |
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| HW #9 9-14 |
3.2 (graphical) 3.3 The Derivative: An Algebraic Viewpoint |
3.2: 13, 16, 17,
19, 20; 23, 24 3.3: 1, 2, 5 [Use "4-step process" from class for all] |
Finding Instantaneous Velocity [20] | |
| HW #10 9-16 |
3.2
derivative estimates 3.3 The Derivative: An Algebraic Viewpoint |
3.2:
33, 47, 49, 57, 58, 71, 83
3.3: 6,13 ,15,17, 23, 25 |
The Derivative [12] | |
| HW #11 9-17 |
3.2
Derivative function graphs, interpretation
3.3 The Derivative: An Algebraic Viewpoint |
3.2
:39, 41, 42, 59-64, 97,98, 109, 110 Blackboard Practice Quiz on Slopes of Tangent Lines using 4 steps. |
Slope of a Tangent Line
[12] Equation of a Tangent Line [18] |
3.2: 73,74, 86 |
| HW #12 9-20 |
3.4 The Derivative: Simple Rules | 3.4:1-11 odd; 14-17; 19-21 | Short Cut for Finding Derivatives [14] | |
| HW #13 9-21 |
3.4
(Again) Chapter 3 Summary as relevant. |
3.4:
29, 37, 41, 42, 53, 55, 63, 64 3.4: 61, 65, 67, 71, 79 |
Uses of The Power Rule [20] | *The Derivative
of the Square Root [16] *The Derivative of the Reciprocal Function [18] 3.2: 65 |
| HW #14 9-23 |
3.5
Marginal analysis Chapter 3 Summary as relevant. |
3.5: 1,5,6,9,11,13 |
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| HW #15 9-24 Summary of Weeks 3&4. Due Friday 9-24 |
4.1 Product Rule only! pp 241-244 |
3.5: 19, 21,28 4.1: 13, 15, 16, 21, 22 |
The Product Rule [21] | Instantaneous Rate [15] |
| HW #16 9-27 |
4.1: Quotient Rule | 4.1: 35, 37, 38, 43; 53, 59, 62 | The Quotient Rule [13] | |
| HW #17 9-28 |
4.2 The
Chain Rule |
4.1: 63, 64, 71, 73 4.2 : 13- 17, 55 |
Introduction to The Chain Rule [18] |
Differentiability [3] |
| HW #18 9-30 |
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 |
Using the Chain Rule [13] Finding the derivative implicitly [12] |
Intro to Implicit
Differentiation [15] More on Instantaneous Rate [19] |
| HW #19 10-1 |
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) |
The Ladder Problem [14] | 4.4:
53 Using Implicit Differentiation [23] |
| HW #20 10-4 The third Summary is due by 4:00 pm. |
A.2:
Exponents 5.4 Related Rates |
A.2: 15,19, 23, 39, 41, 71 5.4 17, 21, 25 |
The Baseball Problem [19] |
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 Morale Moment Math Anxiety [6] |
|
#21 10-5 Midterm Exam #1 covers HW #1-#20. |
2.2: Exponential Functions |
2.2 : 3,4,9,11, 7, 13, 17 | Exponential Functions [10] | |
| #22 10-8 |
2.2 pp94-104(middle) |
2.2: 45, 47, 51, 63, 73, 59, 61 | Logarithmic
Functions [19] (Preparation for Friday class) |
|
| #23 10-11 |
exp'(x) = exp(x) Notes. |
4.3: 7,8,45,51,53,85 | Derivatives of Exp'l Functions [23] | Sensible
Calculus I.F.2 |
| #24 (note changed due to error-10-12) 10-13! |
2.3: pp. 110-113
[Logarithmic functions] 4.3: Example 1,3; pp 265-267. Derivatives for Log's & Exponential Functions |
2.3:
1-4, 19 4.3:1,2,15,17,19 |
Derivative of log functions [14] |
|
| #25 10-14 |
2.3:pp112-116
Logarithmic functions Log's Properties (on line). 4.3 Examples 1-5. |
2.3:
5, 7, 20, 21, 25,31, 45a, 48 a 4.3: 23, 27, 29, 33, 73 |
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| #26 10-15 |
2.3 Example 3 |
2.3:
9, 11, 15 |
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| #27 10-18 |
4.4 log differentiation Ex. 3 | 4.4: 31 , 32 | Slide Rules! UNDERSTAND HOW + WHY a slide works, a full explanation |
|
| #28 10-19(20) The Fourth Summary is due by 4:00 pm. 10-19! |
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 |
One
Sided Limits [6] Continuity and discontinuity [4] |
Three Big Theorems [Begin-3.5min] |
| #29 10-21 |
3.8 pp225- 230 middle: limits and continuity (alg) |
3.7: 20,27,
28 3.8: 39, 41, 46, 53 |
continuity and differentiablity on-line materials( A and B) | |
| #30 10-22 and 25! |
On-line:
cont and diff. 5.1: Maxima and Minima |
5.1: 1-7 odd, 8-10, 12, 13, 15, 21, 23, 24, 25 | The
connection between Slope and Optimization
[28] Critical Points [18] |
The Fence Problem[25] |
| #31 10-26 |
5.1: Maxima
and Minima The Intermediate Value Theorem |
5.1: 35, 39, 41, 44 | Intro to Curve Sketching [9] | |
| #32 10-28 |
5.2. Applications of Maxima and Minima | 5.2: 5, 11, 13 |
Regions where a function is increasing...[20] The First Derivative Test [3] |
The Box Problem [20] |
| #33 10-29 |
5.2. Applications
of Maxima and Minima 5.3 2nd deriv.pp317-320 |
5.2:15,
21 5.3: 1-5,7,9,11,14 |
Higher
order derivatives and linear approximations.[first 5 minutes only!]
Acceleration & the Derivative [6] |
|
| #34 11-1 |
5.5 Elasticity and other economic applications of the derivative |
5.5: 1, 3, 14 | ||
| #35 11-2 |
5.2 and 5.3 again! | 5.2:
25, 27, 29 5.3 : 17-20, 23; 25, 29,31 |
Using
the second derivative [17] Concavity and Inflection Points[13] |
The Can Problem[21] |
| #36 11-4 |
3.6:
p212-216 3.8: p229 5.3: p321-324 |
5.2:
33, 35, 41, 45 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 Asy..and criti' pts [17] |
| #37 11-5 |
3.6,3.8
Review! 6.1 The Indefinite Integral p 353-358 On-line tutorial for 6.1. On-Line: Linear Estimation |
3.8: 15,17,21,23,33,35,37 5.3: 39, 43, 45 3.6: 25, 27,29 6.1: 1-13odd |
Graphing ...asymptotes [10] Functions with Asy.. and holes[ 4] Antidifferentiation[14] |
On-line
Problems on Linear Estimation L1-6; A1-5; App1-3 |
| #38 11-7 |
Differential equations and integration SC IV.A 6.1 Applications p 359-361 |
6.1: 15,17, 27, 35, 41-44,51 | Using
tangent line approximations [25] Antiderivatives of powers of x [18] |
Cusp
points &... [14] Antiderivatives and Motion [20] SC.III.AThe Differential |
| End of material covered in Exam
#2 Midterm Exam #2 covers Assignments 21 - 38 |
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) |
Sample Exam II see Blackboard |
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| #39 11-8 |
3.7, 5.3 Review p321-323 | 3.7:
15,17, 28-30 5.3: 47, 51, 63, 71 6.1: 53-55, 57 |
SC IV.E | |
| #40 11-12 |
6.3. The Definite Integral As a Sum. p 373-376 |
6.3: 1-5 odd, 15, 19, 21 | Approximating Areas of Plane regions [10] |
SC IV.E |
| #41 11-15 |
6.4 The Definite Integral: Area p384-386 |
6.4: 1-5 odd, 21, 23 |
Areas, Riemann Sums, and Definite Integrals [14] The Fundamental theorem[17] |
|
| #42 11-16 |
6.5
pp392-395 The Fundamental Theorem |
6.5
: 17-20; 67,68 |
Illustrating the FT[14] Evaluating Definite Integrals [13] |
|
| #43 11-18 |
6.2
Substitution pp364-367 6.4 pp 384- 388 |
6.2:
1-6; 21,23 6.5: 63 |
Undoing
the chain rule.[9] Integrating polynomials by Substitution [15] |
|
| #44 11-19/29 |
6.5
pp 395 - 396 6.2 pp 368-371 Substitution 6.5 example 5 7.2 pp416-420 (area between curves) |
6.5: 27-30, 61 6.2: 27-33,59, 60 6.5: 45,47,59,63,64 7.2:1,3,5,11, 15 |
Area between two curves [9] | Integrating composite exponential and rational functions by substitution [13] |
| #45 11-29 |
7.2 p420-426 (Surplus and social gain) |
7.2: 25, 37, 49 |
Limits
of integration-Area [15] |
|
| #46 11-30 |
7.3
pp 430-431 8.1 Functions of Several Variables. p467-471 8.3 pp 490 - 492 |
7.3:
1- 5odd, 29, 35a 8.1: 1-9 odd, 19, 20, 21, 29, 39, 43 8.3: 1- 7 odd, 13, 41, 45 |
Finding the Average Value of a Function [8] | |
| #47 12-2/3 |
8.2 |
8.2:
1-9 odd; 11-18; 19-25 odd;41, 49 |
Solution to 7.2:42 (See the student solutions manual). |
|
| #48 12-6/7 |
8.4 p498-501 Critical points 7.5 p 442-445 + |
8.4: 1-9 odd, 33, 37 7.5: 1-7 |
The
first type of improper integral[10] Infinite Limits of integration ... [12] The second type of ... [8] |
|
| #49 12-7 |
8.3
Second order partials |
8.3: 19-25 odd; 29,33,38,51, 53 |
The 20 minute
review. |
|
| #50 |
7.5 8.4 pp 504-505 |
7.5: 11,
13, 17 8.4 :13, 15,17,19 |
The 20 minute review. | |
|
|
Reading INVENTORY |
Problems INVENTORY |
CD Viewing INVENTORY |
Optional INVENTORY |
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| 7.6 | 7.6: 1,3,13 |
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| #54 |
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| #55 |
7.4 Future and present value. |
Common Mistakes [16] The 20 minute review. |
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| Optional Last assignment |
Future
and present value. Probability and DARTS |
7.4:1, 9, 21, 27 | ||
| 3.6: 31 | ||||
| 3.8:
11-25 odd; 39-42 |
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| 6.5 396-398 |
6.4:22 |
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| 6.5:
9,11,41-45 odd, 42, 65,81 |
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| 7.3:25 | ||||
| 7.6:25,
27 |
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| |
|
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 | ||||
| 2.3 | 2.3:1,3,4,5,7,11,13,31 | |||
| Final Examination: |
|
|
Monday |
|
Thursday | Friday |
| Week 1 | 8-22 Course Introduction | Numbers, Variables, Algebra Review |
Begin Functions. More Algebra review. |
More functions review The coordinate plane. Functions, graphs. |
| Week 2 | 8-29 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. |
9-6 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) |
9-13 More on finding the derivative. |
More: Finding the derivative as function. |
Begin: The Derivative Calculus I Graphical Derivative as function graphs |
Justification of the power rule. |
| Week 5 Summary of Weeks 3&4. Due Friday 3 pm. |
9-20
Justify the sum
rule. Discuss Sum rule interpretations. |
Marginal Applications. Constant Multiple Rule Interpretations. |
Applications: Marginal vs. Average Cost Start Product rule. |
Justify product rule. Start Quotient Rule. |
| Week 6 | 9-27 More on the Quotient rule. The Chain Rule |
More Chain Rule Implicit functions. Implicit Differentiation |
More Implicit Functions and related rates. |
More Implicit Functions and related rates. |
| Week 7 Summary of Week 5&6 Due. Midterm Exam #1 Self-Scheduled Wednesday 10-6 8:00- 12:30 NHE Room 102 5:00 - 8:30pm Lib 56 |
10-4 Examples: f does not have a derivative at a. Begin Exponential functions Interest and value |
Review for Exam #1 |
More on exponentials. |
Derivatives of exponentials, esp'ly exp'(x)=exp(x). |
| Week 8 Makeup For Exam #1 Wed. 10-13. 8 or 9 a.m. Lib 56 See BB Announcements. |
10-11
Start Logarithmic functions. Derivatives of Logarithms and Exponentials |
Finish derivatives of log's, etc. Logarithmic functions. |
More on models with exp and log equations. |
Logarithmic differentiation Logarithmic scales. Slide Rules! |
| Week 9 Summary of Weeks 7 and 8 Due 4pm Tuesday 10-19 |
10-18 limits and continuity, Continuity |
More on continuity and limits. IVT |
Begin Optimization and First Derivative Analysis The fence problem. |
More Optimization and Graphing. |
| Week 10 | 10-25
Optimization and IVT
First Derivative Analysis |
More on first derivative Optimization: revenue example |
Begin Second Derivatives- acceleration Concavity and Curves |
Elasticity. (Guest Lecture) |
| Week 11 Summary of Weeks 9 & 10 Due Friday Nov. 5 |
11-1More on Concavity Horizontal Asymptotes. |
Vertical Asymptotes |
Linear Estimation and "Differentials." Begin Differential equations and integration IV.A. |
Acceleration and integration. Estimating cost changes from marginal costs. More DE's. Relative error. Differentials |
| Week 12 Self Scheduled Exam #2 Wednesday 11-10 |
11-8 Costs, marginal costs, and estimation. Introduction to the definite Integral. | Euler's Method. |
Differential Notation(started) The Definite Integral |
Riemann Sums and Estimating Area
. Finding area by estimates and using
anti-derivatives. |
| week 13 Lab ? Summary
of Weeks 11&12 |
11-15
The definite integral and The FTofC. IV.E |
Start Substitution! More Area and applications: Interpreting definite integrals. Geometric Area. |
Substitution in definite integrals More Area Intro to functions of 2 or more. Partial derivatives. 1st order. |
Consumer& Producer Surplus; Social Gain. |
| Week 14 Fall Break- No Classes |
11-22 Fall Break |
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| Week 15 | 11-29
Fundamental Theorem I Average Value. |
Functions of many variables. Tables for 2 variables. Partial derivatives. |
Visualizing Functions of 2 variables:
level curves, graphs of z=f(x,y)and linear
estimation. |
Improper integrals I |
| Week 16 Summary of Weeks 13 & 15 Due Tuesday 4 pm. |
12- 6
2nd order partial derivatives Extremes (Critical points) Improper integrals I |
Improper Integrals I and II Least Squares example |
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 |