| Due Date |
Reading for 3rd Edition | Problems | CD Viewing [# minutes] | Optional |
| 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] |
||
| 1.1
Functions and
tables. A.5 pp A.22-24 Solving equations |
A.5 1-7 odd, 13-19 odd |
Functions [19] | ||
| 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] | ||
| 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) |
|
| 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 | |
| 1.4
Linear Models. 2.1 Quadratic functions A.5 ppA23-A25 |
1.4:
12, 19,
21,22,25 |
On-line
Mapping Figure Activities- (Again... ;) |
||
|
2.1Quadratic functions |
2.1:
1-9 odd, 25, 27, 33 |
Parabolas [22] | ||
| 3.1 Average Rate of Change | 3.1: 1-10, 13-16, 21, 39, 40 | The Two Questions of Calculus [10] | ||
| 3.2 Pages 154-158 The Derivative: A Numerical and Graphical Viewpoint |
3.2: 1,
2, 5, 9,12 |
Rates
of Change, Secants and Tangents [19] |
||
| 3.2
derivative estimates 3.3 The Derivative: An Algebraic Viewpoint |
Graphing,
Technology problems from lab 3.2: 13, 16, 17, 19, 20; 23, 24 Use "4-step process" from class 3.3: 1, 2, 5 [Ignore the problem instruction!] |
(For Thursday!) Finding Instantaneous Velocity
[20] |
||
| 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"] |
The Derivative
[12] |
||
| 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 | |
| 3.4 The Derivative: Simple Rules | 3.4:1-11 odd; 14-17; 19-21 | Short Cut for Finding Derivatives [14] | *The Derivative of the Reciprocal Function [18] | |
| Weeks 3 and 4 |
||||
| 3.4
(Again) 3.4 The Derivative: Simple Rules |
3.4: 61, 65, 67,
71, 79 |
Uses of The Power Rule [20] | *The Derivative of the Square Root [16] | |
| 3.5
Marginal analysis Chapter 3 Summary as relevant. |
3.5: 1,5,6,9,11,13 3.4: 29, 37, 41, 42, 53, 55, 63, 64 |
3.2: 65 | ||
| 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] | |
| 4.1: Quotient Rule | 4.1: 35, 37, 38, 43; 53, 59, 62 | The Quotient Rule [13] | ||
| 4.2 The Chain Rule | 4.1: 63, 64, 71, 73 4.2 : 13- 17, 55 |
Introduction to The Chain Rule [18] | ||
| 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] |
|
| 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] |
More on Instantaneous Rate [19] 4.4: 53 Using Implicit Differentiation [23] |
|
| A.2:
Exponents |
A.2: 15,19, 23, 39, 41, 71 |
The Baseball Problem [19] |
Differentiability [3] Morale Moment Math Anxiety [6] |
|
| HW# 21 |
5.4
Related
Rates 2.2: Exponential Functions |
5.4 17, 21, 25
2.2 : 3,4,9,11, 7, 13, 17 |
Exponential Functions [10] | |
| HW #22 |
2.2 pp94-104(middle) | 2.2: 45, 47, 51, 63, 73, 59, 61 | 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 |
|
| EXAMINATION # 1 will cover material from Assignments HW 1 to 21 and related sections of the text. |
||||
| HW #23 |
exp'(x) = exp(x) Notes. | 4.3: 7,8,45,51,53,85 | Derivatives of Exp'l Functions [23] | Sensible Calculus I.F.2 |
| HW #24 |
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 |
Logarithmic
Functions [19] Derivative of log functions [14] |
|
| HW #25 |
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 |
||
| HW #26 |
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 #27 |
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] |
|
| HW #28 |
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 5.1: 1-7 odd, 8-10, 12, 13, 15, 21, 23, 24, 25 |
The
connection between Slope and Optimization
[28] Critical Points [18] |
Three Big Theorems [Begin-3.5min] The Fence Problem[25] continuity and differentiablity on-line materials( A and B) |
| HW #29 |
5.1: Maxima
and Minima 5.2. Applications of Maxima and Minima |
5.1:
35, 39, 41, 44 5.2: 5, 11, 13 |
Intro
to Curve Sketching [9]
The First Derivative Test [3] |
The
Box Problem [20] |
| HW #30 |
5.2. Applications
of Maxima and Minima |
5.2:15,
21 |
Regions where a function is increasing...[20] |
Higher
order derivatives and linear approximations.[first 5 minutes only!]
|
| 4-8 |
Summary of Weeks 10 & 11 |
|||
| HW # 31 4-7 |
5.3 2nd deriv.pp317-320 | 5.3: 1-5,7,9,11,14 | Acceleration & the Derivative [6] | |
| HW #32 4-8 |
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] |
| HW #33 4-11 |
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 Asymptotes and criti' pts [17] |
| HW #34 4-12 |
3.6,3.8
Review! 5.5 Elasticity and other economic applications of the derivative On-Line: Linear Estimation |
5.5: 1, 3, 14
3.8: 15,17,21,23,33,35,37 5.3: 39, 43, 45 3.6: 25, 27,29 |
Graphing ...asymptotes [10] Functions with Asy.. and holes[ 4] |
On-line
Problems on Linear Estimation L1-6; A1-5; App1-3 |
| HW #35 4-14 |
6.1 The Indefinite Integral p 353-358 On-line tutorial for 6.1. |
6.1: 1-13odd | Antidifferentiation[14] | SC.III.AThe Differential |
| HW #36 4-15 |
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] |
| HW #37 4-18 |
3.7, 5.3 Review p321-323 | 3.7:
15,17, 28-30 5.3: 47, 51, 63, 71 6.1: 53-55, 57 |
||
| EXAMINATION # 2 will cover material from Assignments HW 21 to 37 and related sections of the text. For Sample Exam 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 #38 4-19 |
6.3. The Definite Integral As a Sum. p 373-376, 380 |
6.3: 1-5 odd, 15, 19, 21 | Approximating Areas of Plane regions [10] | SC IV.E |
| HW #39 4-21 and 4-22* |
6.4 The Definite Integral: Area p384-386 | 6.4: 1-5 odd, 21 | Areas, Riemann Sums, and Definite Integrals [14] The Fundamental theorem[17] |
SC IV.E |
| HW # 40 4-25 |
6.5
pp392-395 The Fundamental Theorem |
6.5 : 17-20; 67,68 |
Illustrating the FT[14] Evaluating Definite Integrals [13] |
|
| HW #41 4-26 |
6.2
Substitution pp364-367 6.5 pp 395 - 396 8.1 Functions of Several Variables. p467-471 |
6.2:
1-6; 21,23 6.5: 27-30, 61,63 |
Undoing
the chain rule.[9] Integrating polynomials by Substitution [15] |
|
| HW #42 4-28 |
6.4 pp 384- 388 6.2 pp 368-371 Substitution 6.5 example 5 8.1 Functions of Several Variables. p467-471 |
6.2: 27-33,59, 60 6.5: 45,47,59,63,64 8.1: 1-9 odd, 19, 20, 21, 29, 39, 43 |
Area between two curves [9] | Integrating composite exponential and rational functions by substitution [13] |
| HW #43 4-29 |
7.2 pp416-420 (area between curves) 8.3 pp 490 - 492 |
7.2:1,3,5,11, 15
8.3: 1- 7 odd, 13, 41, 45 |
Limits of integration-Area [15] | |
| HW #44 5-2 |
7.2 p420-426 (Surplus and social gain) 7.3 pp 430-431 |
7.2: 25, 37, 49 7.3: 1- 5odd, 29, 35a |
Finding the Average Value of a Function [8] | |
| HW #45 5-3 |
7.5
p 442-445 + 8.2 8.4 p498-501 Critical points |
7.5: 1-7 |
The
first type of improper integral[10] Infinite Limits of integration ... [12] |
Solution to 7.2:42 (See the student solutions manual). |
| HW #46 5-5 |
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 | ||||
| 2.3 | 2.3:1,3,4,5,7,11,13,31 | |||
|
|
Monday |
|
Thursday | Friday |
| Week 1 | 1-17 NO Class.... MLK DAY | 1-18 Course Introduction |
1-20 Numbers, Variables, Algebra Review |
Begin Functions. More Algebra review. |
| Week 2 | 1-24
More functions review The coordinate plane. Functions, graphs. |
1-25 Functions, graphs and models.
Points and Lines. Especially Lines and models. |
1-27 More Functions and Models: Linear Functions. |
Slopes, rates and estimation. |
| Summary of Weeks 1&2 Due Friday or Monday 4 pm. |
1-31 More linear models. Quadratic functions. |
2-1 More Quadratics. |
2-3 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 |
2-7(Graphing,
Technology) More on finding the derivative. |
2-8 More: Finding the derivative as function. |
2-10 Begin: The Derivative Calculus I Graphical Derivative as function graphs |
More on the definition of the derivative: Limits and notation. |
| Week 5 Summary of Weeks 3&4. Due Friday 4 pm. |
2-14Justification of the power rule. |
2-15
Sum and Constant Multiple Rules Introduced. |
2-17 More Notation for the derivative. Marginal Applications.Marginal vs. Average Cost |
Justify the sum
rule. Discuss rule interpretations. Product rule. |
| Week 6 | 2-21 Justify product rule. Quotient Rule. |
2-22 More on the quotient rule Chain Rule |
2-24 More Chain Rule.Implicit functions. Begin related rates. |
Implicit Functions and related rates.More on Implicit Differentiation |
| Week 7 Summary of Week 5&6 Due..Monday, 2-28. |
2- 28
More Implicit Differentiation and Related Rates.
|
3-1 Begin Exponential functions Interest and value |
3-3 More on exponentials. |
More on exponential functions and graphs. |
| Week 8 Midterm Exam #1 Self-Scheduled 3-9 | 3-7 Derivatives of exponentials, esp'ly d(b^x)/dx = k b^x |
3-8 exp'(x)=exp(x). Review for Exam #1 |
3-10 Start Logarithmic functions.
Derivatives of Logarithms and Exponentials Examples: f does not have a derivative at a. |
Finish derivatives of log's, etc. Logarithmic functions. |
| Week 9 |
3-14 Spring Break No Class |
3-15 Spring Break |
3-17 Spring Break |
Spring Break |
| Week 10 Summary of Weeks 7 and 8 Due 4pm , Thursday,3-24. |
3-21
More on models with exp and log equations. |
3-22 More on Properties of Logs. Change of basis. Solving exponential equations with logs. |
3-24. Logarithmic differentiation |
Logarithmic scales limits and continuity, Continuity IVT. |
| Week 11 Slide Rules? | 3-28More on continuity and limits. Begin Optimization and First Derivative Analysis |
3-29 More Optimization and Graphing. The fence problem. Optimization and IVT |
3-31:No Class. CC Day. |
First
Derivative Analysis Optimization: revenue example |
| Week 12 Summary of Weeks 10 & 11 Due Friday 5pm 4-8 |
4-4 More on first derivative |
4-5 Second Derivatives- acceleration Concavity and Curves |
4-7 More on Concavity Horizontal Asymptotes. |
Vertical Asymptotes. Relative change. Elasticity. |
| Week 13 |
4-11
Linear Estimation and "Differentials." Begin Differential equations and integration IV.A. Acceleration and integration. Estimating cost changes from marginal costs. |
4-12 More DE's. Costs, marginal costs, and estimation. |
4-14 Euler's Method. Differential Notation(started) The Definite Integral |
|
| week 14 Lab ? Summary
of Weeks 12&13 Self Scheduled Exam #2 4-20 |
4-18
Introduction
to the definite Integral. |
4-Review for Midterm |
4-21 Interpreting definite integrals. Geometric Area. Riemann Sums and Estimating Area . |
The definite integral and The FTofC. IV.E Finding area by estimates and using anti-derivatives. |
| Week 15 | 4-25 19 Start Substitution! More Area and applications: Intro to functions of 2 or more. |
4-26 Substitution in definite integrals Functions of many variables. Tables for 2 variables. |
Partial derivatives. Area between curves. |
Consumer& Producer Surplus; Social Gain Average Value. |
| Week 16 Summary of Weeks 14 & 15 Due Tuesday 4 pm. |
5-2
Improper integrals I
Extremes (Critical points) |
5-3 2nd order partial derivatives Visualizing Functions of 2 variables: level curves, graphs of z=f(x,y)and linear estimation. Improper Integrals I and II Least Squares example |
5-5 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? |
Fundamental Theorem I???? |
| Week 17 Final Examination Review Session Sunday 3-5pm Lib 56 |
Self Schedule for Final Examinations |