| Due Date | Reading for 3rd Edition | Problems | CD Viewing [# minutes] | Optional |
| 1-22 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] |
|
| 1-23 HW #2 |
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] | |
| 1-26 HW # [NONE] |
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 Blackboard
Practice
Quiz on Functions |
| 1-27 HW #3 |
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) |
| 1-29 HW #4 |
1.4 Linear Models | 1.3:
37- 49 odd,
55, 57, 59 1.4: 1-9 odd |
|
1.4: 49 |
| 1-30 HW #5 |
1.4 Linear Models. | 1.4: 12, 19, 21,22,25 | Average Rates of Change [11] | On-line
Mapping Figure Activities- (this may be slow downloading) |
| 2-2 HW #6 |
2.1
Quadratic functions A.5 ppA23-A25 |
2.1:
1-9 odd, 25, 27, 33 |
Parabolas [22] | |
| 2-3 HW #7 |
3.1 Average Rate of Change | 3.1: 1-10, 13-16, 21, 39, 40 | Rates of Change, Secants and Tangents [19] | |
| 2-5 HW #8 |
3.2 The Derivative: A Numerical and Graphical Viewpoint | 3.2: 1, 2, 5, 9,12 | |
|
| 2-6 HW #9 |
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] | |
| 2-9 HW #10 |
3.2
derivative estimates 3.3 The Derivative: An Algebraic Viewpoint |
3.2: 33, 39, 41, 42, 47, 49, 57, 58, 71, 83 | The Derivative [12] | |
| 2-10 HW #11 |
3.2
Derivative function graphs, interpretation
3.3 The Derivative: An Algebraic Viewpoint |
3.2
59-64, 97,98, 109, 110 3.3: 6,13 ,15,17, 23, 25, 39 |
Slope of a Tangent Line
[12] Equation of a Tangent Line [18] |
3.2: 73,74, 86 |
| 2-12 HW #12 |
3.4 The Derivative: Simple Rules |
3.4:1-11 odd; 14-17; 19-21 Blackboard Practice Quiz on Slopes of Tangent Lines using 4 steps. |
Instantaneous Rate [15] | 3.2: 65 |
| 2-13 HW #13 |
3.4
(Again) Chapter 3 Summary as relevant. |
3.4: 29, 37, 41, 42, 53, 55, 63, 64 | Short Cut for Finding Derivatives [14] | |
| 2-16 HW #14 |
3.4 (Again) 3.5 Marginal analysis Chapter 3 Summary as relevant. |
3.4: 61, 65, 67,
71, 79 3.5: 1,5,6,9,11,13 |
Uses of The Power Rule [20] | *The Derivative
of the Square Root [16] *The Derivative of the Reciprocal Function [18] |
| 2-17 HW #15 |
3.5 (Again) 4.1 Product Rule only! pp 241-244 |
3.5: 19, 21,28 4.1: 13, 15, 16, 21, 22 |
The Product Rule [21] |
|
| 2-19 HW #16 |
4.1: Quotient Rule | 4.1: 35, 37, 38, 43; 53, 59, 62 | The Quotient Rule [13] | Summary of Weeks 3&4. Due Friday 2-20 |
| 2-20 HW #17 |
4.1 | 4.1: 63, 64, 71, 73 | More on Instantaneous Rate [19] |
Differentiability [3] |
| 2-23 #18 |
4.2 The Chain Rule | 4.2 : 13- 17, 55 | Introduction to The Chain Rule [18] | |
| 2-24 #19 |
4.2 The Chain Rule | 4.2: 25, 26, 33, 35; 47, 51, 53, 61, 62, 65 | Using the Chain Rule [13] | |
| 2-26 #20 |
4.4 Implicit
Differentiation (Skip Examples 2 and 3!) |
4.4 :11, 12, 15, 35, 36, 47 | Finding the derivative implicitly [12] | Intro to Implicit Differentiation [15] |
| 2-27 #21 |
5.4
Related
Rates Especially Ex. 1-3 A.2: Exponents |
5.4:
9, 11, 13 A.2: 15,19, 23, 39, 41, 71 |
The Ladder Problem [14] | 4.4:
53 Using Implicit Differentiation [23] |
| 3-1 #22 |
2.2: Exponential Functions |
5.4 17, 21, 25
2.2 : 3,4,9,11 2.2: 7, 13, 17, 59, 61 |
Exponential Functions [10] The third Summary is due by 4:00 pm. |
Morale Moment Math Anxiety [6] The Baseball Problem [19] |
| Midterm
Exam #1 covers HW #1-#21. |
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 |
|||
| 3-2 #23 |
2.2:
Exponential Functions |
2.2: 45, 47, 51, 63, 73 | ||
| 3-4 #24 |
2.3: Logarithmic functions | 2.3: 1-4, 19 | Logarithmic Functions [19] | |
| 3-5 #25 |
2.3: Logarithmic functions | 2.3: 5, 7, 20, 21, 25,31, 45a, 48 a |
|
|
| 3-9 #26 |
2.3 Log's Properties on line. 4.3: Derivatives for Log's & Exponential Functions |
4.3:7,8,45,51,53,85 | Derivatives of Exp'l Functions [23] | |
| 3-11 #27 |
4.3: Derivatives for Log's & Exponential Functions | 4.3:1,2,15,17,19, 23; 27, 29, 33, 73 | Derivative of log functions [14] | Sensible
Calculus I.F.2 exp'(x) = exp(x) Notes. |
| 3-12 #28 |
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 |
| 3-22,23 #29 |
3.6:
limits (numerical/graphical) P209-216 omit EX.3. 3.7: limits and continuity 3.8 limits and continuity (alg) pp225- 228 On-line: cont and diff. The Intermediate Value Theorem |
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] |
| 3-23,25 #30 |
3.8 pp225-
230 middle: limits and continuity (alg) 5.1: Maxima and Minima |
3.7: 20,27,
28 3.8: 39, 41, 46, 53 5.1: 1-7 odd, 8-10,12 |
The connection between Slope and Optimization [28] | continuity and differentiablity on-line materials( A and B) |
| 3-25 #31 |
5.1: Maxima and Minima | 5.1: 13,15,21,23,24,25 | Critical Points [18] | |
| 3-26 #32 |
5.2. Applications of Maxima and Minima | 5.1:
35, 39, 41, 44 5.2: 5, 11, 13 |
Intro
to Curve Sketching [9] |
The Fence Problem[25] |
| 3-29 #33 |
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!] Regions where a function is increasing...[20] The First Derivative Test [3] Acceleration & the Derivative [6] |
The Box Problem [20] |
| 3-30 #34 |
5.3 |
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] |
| 4-1 #35 |
5.2 and 5.3 again! | 5.2:
33, 35, 41, 45 5.3: 35- 37,41, 63, 67 |
Graphs
of Poly's [10] The 2nd Deriv. test [4] |
Horizontal asymptotes [18] |
| 4-2 #36 |
3.6:
p212-216 3.8: p229 5.3: p321-324 |
3.6:
1-11 odd 3.8: 15,17,21,23 5.3: 39, 43, 45 |
Vertical
asymptotes [9] Graphing ...asymptotes [10] Functions with Asy.. and holes[ 4] |
Functions with Asy..and criti' pts [17] |
| 4-6 #37 |
3.6,3.8
Review! On-Line: Linear Estimation |
3.6:
25, 27,29 3.8: 33,35,37 On-line Problems on Linear Estimation L1-6; A1-5; App1-3 |
Using tangent line approximations [25] | Cusp
points &... [14] SC.III.AThe Differential |
| 4-8 #38 |
Differential equations and integration SC IV.A
6.1 The Indefinite Integral p 353-358 On-line tutorial. |
6.1: 1-19 odd, 27, 35 | Antidifferentiation[14] | |
| 4-9 #39 |
6.1 Applications p 359-361 |
6.1: 41-44,51 | Antiderivatives of powers of x [18] | Antiderivatives and Motion [20] |
| 4-9 #40 |
5.5 Elasticity and other economic applications of the derivative | 5.5: 1, 3 | ||
| 4-12 #41 |
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 | |
| 4-12 |
End of material covered in Exam
#2 Midterm Exam #2 covers Assignments 22 - 41 |
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) |
||
| 4-13 #42 |
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 |
| 4-15 #43 |
6.4 The Definite Integral: Area p384-386 | 6.4: 1-5 odd, 21, 23 | Areas, Riemann Sums, and Definite Integrals [14] | |
| 4-16 #44 |
6.5
pp392-395 The Fundamental Theorem |
6.5 : 17-20; 67,68 | The
Fundamental theorem[17] Illustrating the FT[14] |
|
| 4-19 #45 |
6.5
pp 395 - 396 6.2 Substitution pp364-367 |
6.2:
1-6; 21,23 6.5: 27-30, 61, 63 |
Undoing
the chain rule.[9] Integrating polynomials by Substitution [15] |
|
| 4-20(22) #46 |
6.2 pp 368-371 Substitution 6.5 example 5 7.2 pp416-420 (area between curves) |
6.2: 27-33,59, 60 6.5: 45,47,59,63,64 7.2:1,3,5,11, 15 |
Evaluating Definite Integrals [13] Area between two curves [9] |
|
| 4-22 #47 |
7.2 p420-426 (Surplus and social gain) | 7.2: 25, 37, 49 | Limits of integration-Area [15] | Integrating composite exponential and rational functions by substitution [13] |
| 4-23 #48 |
7.3 pp 430-431 | 7.3: 1-5 odd, 29, 35a | Finding the Average Value of a Function [8] | |
| 4-26 #49 |
8.1 Functions
of Several Variables. p467-471 8.3 pp 490 - 492 |
8.1: 1-9 odd, 19, 20, 21, 29, 39, 43 8.3: 1- 7 odd, 13, 41, 45 |
||
| 4-27 #50 |
8.2 | 8.2: 1-9 odd; 11-18; 19-25 odd;41, 49 | ||
| 4-29 #51 |
8.3
Second order partials 8.4 p498-501 Critical points |
8.3: 19-25 odd; 29,33,38,51, 53 8.4: 1-9 odd, 33, 37 |
||
| 4-30 #52 |
7.6 | 7.6:
1,3,13 |
||
| 5-3 #53 |
7.5 p 442-445 | 7.5: 1-7 | The
first type of improper integral[10] Infinite Limits of integration ... [12] |
|
| 5-4 #54 |
7.5 8.4 pp 504-505 |
7.5: 11,
13, 17 8.4 :13, 15,17,19 |
The
second type of ... [8] |
|
| 5-6 #55 |
7.4 Future and present value. |
Common Mistakes [16] The 20 minute review. |
||
| Optional Last assignment |
Future
and present value. Probability and DARTS |
The 20 minute review. | 7.4:1, 9, 21, 27 | |
|
|
Reading INVENTORY |
Problems INVENTORY |
CD Viewing INVENTORY |
Optional INVENTORY |
| 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 | The 20 minute review. | ||
| Final Examination: |
|
|
Monday |
|
Thursday | Friday |
| Week 1 | 1-19 No Class- MLK Day | 1-20 Course Introduction |
1-22 Numbers, Variables, Algebra Review |
1-23 The coordinate plane. Points and Lines. Begin Functions. More Algebra review. |
| Week 2 | 1-26 Functions, graphs. Especially Lines and models. |
1-27 Functions, graphs and models. | 1-29 More Functions and Models: Linear Functions. | 1-30 Quadratic functions. Slopes, rates and estimation. More linear models. Quadratics. |
| Week 3 Summary of Weeks 1&2 Due Friday, 2-6. |
2-2
Quadratics. Begin Average rates, and slopes of secant and tangent lines. |
2- 3 Average rates, and
slopes of secant and tangent
lines. Instantaneous Rates & The Derivative. |
2-5 More Motivation: Marginal cost, rates and slopes. the Derivative and algebra. | 2-6 Graphing,
Technology, Meet in SH 119. More on the Derivative. and |
| Week 4 | 2-9 More on finding the derivative. Begin the Derivative Calculus |
2-10 The Derivative Calculus I |
2-12 Justification of the power rule. |
2-13 Marginal Applications. Justify the sum rule. |
| Week 5 Summary of Weeks 3&4. Due Friday 2-20 |
2-16 Discuss Sum rule interpretations. Start Product rule. |
2-17 Justify Constant Multiple Rule. Start Quotient Rule. Justify product rule. |
2-19 More on the Quotient rule. Applications: Marginal vs. Average Cost Breath |
2-20
Discuss Constant Multiple Rule. Examples: f does not have a derivative at a. The Chain Rule |
| Week 6 | 2-23 More Chain Rule Implicit functions. Implicit Differentiation |
2-24 Implicit Functions and Related rates. | 2-26 More Implicit Functions and related rates. |
2-27 Exponential functions Interest and value |
| Week 7 Summary of Week 5&6 Due 3-1. Midterm Exam #1 Self-Scheduled Wednesday 3-3 8:00-11:30am; 5:00 - 8:30pm Lib 56 |
3-1 More on exponentials. Start Logarithmic functions. |
3-2 Review for Exam #1 |
3-4 Logarithmic functions. | 3-5 Models using exponentials |
| Week 8 | 3-8 Derivatives of Logarithms and Exponentials |
3-9 Finish derivatives of log's, etc. |
3-11
Logarithmic differentiation Slide Rules! |
3-12 limits and continuity, Continuity |
| Spring break week |
3-15 No Class |
3-16 No Class | 3-18 No Class |
3-19 No Class |
| Week 9 Summary of
Weeks 7 and 8 Due |
3-22 IVT Optimization and First Derivative Analysis |
3-23 More Optimization and Graphing. | 3-25
The fence problem. First Derivative Analysis More optimization and IVT |
3-26 Optimization: revenue&profit
Begin Second Derivatives- acceleration Concavity and Curves |
| Week 10 | 3-29 More on Concavity |
3-30 Horizontal Asymptotes. | 4-1 Vertical Asymptotes |
4-2 Linear Estimation and "Differentials." Relative error. |
| Week 11 Summary of Weeks 9 & 10 Due 4-5. |
4-5 Differentials Begin Differential equations and integration IV.A |
4-6 More on DE's and integration. | 4-8 Elasticity. | 4-9 Acceleration and integration. Estimating cost changes from marginal costs. More DE's. |
| Week 12 Self Scheduled Exam #2 Wed. 4-14 |
4-12 Costs, marginal costs, and estimation. Introduction to the definite Integral.. | 4-13 Riemann Sums and Estimating Area
.Finding area by estimates and using
anti-derivatives The definite integral and The FTofC. Finding Area exactly! IV.E? |
4-15 More Area and applications: FT of calculus I . |
4-16 Substitution! |
| week 13 Summary
of Weeks 11&12 Due 4-22 |
4-19 Substitution in definite integrals
Interpreting definite integrals. Geometric Area. |
4-20 More on area and substitution. Consumer& Producer Surplus; Social Gain. |
4-22 Average Value. Intro to functions
of 2 or more. Partial derivatives. 1st order. |
4-23 Meet in SH 119 Visualizing Functions of 2 variables: level curves, graphs of z=f(x,y) |
| Week 14 | 4-26 More on partial derivatives and linear
estimation. Visualizing functions of 2 variables. |
4-27 2nd order partial derivatives Extremes (Critical points) |
4-29 DE's -Separation of variables: Growth
models and exponential functions. |
4-30 Improper integrals I |
| Week 15 Summary of Weeks 13 & 14 Due 5-4 |
5-3 Improper integrals II |
5- 4
Least Squares example |
5-6 Future
and present value. Applications
of linear regression to
other models using logarithms Probability and DARTS? |
5-7 ???? |
| Week 16 Final Examination Review Session Sunday 4-6 pm Lib 56 |
5-10 |
5-11 |
Wed.5-12 |
Th. 5-13 |