| Due Date |
Reading for 3rd Edition | Problems | CD Viewing [# minutes] | Optional |
| HW #1 1-19/22/23* |
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 1-22/23/25* |
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 1-25/29/30* |
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 1-30/2-1* | 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 2-5/6* | 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 2-6/8/9* |
1.4
Linear Models. A.5 ppA23-A25 3.1 Average Rate of Change |
1.4:
12, 19,
21,22,25 3.1: 1-10, 13-16, 21, 39, 40 [Changed 2-6] |
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 #6.5 2-9/12* |
3.2 Pages 154-158 The Derivative: A Numerical and Graphical Viewpoint |
3.2: 1, 2, 5, 9,12 | 3.1.1 Rates of Change, Secants, and Tangents (Disc 1, 18:53) | |
| HW #7 2-13/15* | 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 2/15*16 | 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. |
| HW #9 2/16*19 |
3.3 The
Derivative: An Algebraic Viewpoint
3.4 The Derivative: Simple Rules |
3.4:1-11 odd; 14-17; 19-21 | 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) 4.1.1 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 #9.5 2/20 | 3.2
Derivative function graphs, interpretation
| 3.2
:39, 41, 42, 59-64, 97,98, 109, 110 | .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 2/20 | 3.4
(Again) 3.4 The Derivative: Simple Rules |
3.4: 61, 65, 67,
71, 79; 29, 37, 41, 42, 53, 55, 63, 64 | ||
| HW #11 2/22*23 | 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 2/23*26 | 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 2/26*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 2/27*3/1 | 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 3/2 | 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: 53 6.2.1 Using Implicit Differentiation (Disc 2, 22:24) |
| HW #16 3/6 | 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 3/6-8*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 3/19*20 |
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) |
|
| HW #19 3/22 | 2.3: pp. 110-116
[Logarithmic functions] Log's Properties (on line). | 2.3: 1-4, 19 | 5.3.1 Evaluating Logarithmic Functions (Disc 2, 18:37) | Sensible Calculus I.F.2 |
| HW #19.5 3/23*26 |
4.3: Examples 1-5; pp 265-267. Derivatives for Log's & Exponential Functions |
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 |
5.3.2 The Derivative of the Natural Log Function (Disc 2, 13:24) | |
| HW #20 3/29 |
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 4/2 |
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 4/3*5? |
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 4/5*6*9 |
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 4/12 |
5.2. Applications
of Maxima and Minima5.1: Maxima
and Minima 5.3 2nd deriv.pp317-320 |
5.2:15,
21
5.2:
25, 27, 29 5.3: 1-5,7,9,11,14 |
7.4.3 The Box Problem (Disc 2, 20:38) 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) |
7.4.4 The Can Problem (Disc 2, 20:47) |
| HW #25 4/13*16 |
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#26 4/16 |
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 #27 4/16 |
3.6,3.8 Again! |
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, 3:2 |
|
| Exam #2 4/18 |
EXAMINATION
# 2 will cover material from Assignments 15-27 and related sections of
the text. Note this includes related rates again. For Sample Exams II see Blackboard |
Review for Exam #2: (will not
be
collected): p 136[138]: 2,3,4 p288[294]: 1(a,e,g,i),2(c,d),3a,8a p350[361]: 1(a,d,f),2,4a,5(a-c) |
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| HW #28 4/19*20 |
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 #29 4/20 |
6.1 Applications p 359-361 | 6.1: 15,17, 27, 35, 41-44,51 | ||
| HW #30 4/23*24 |
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 #31 4/26*27 |
6.4 The Definite Integral: Area p384-386 6.5 pp392-395 The Fundamental Theorem 8.1 Functions of Several Variables. p467-471 |
6.4: 1-5 odd, 21 6.5 : 17-20; 67,68 8.1: 1-9 odd, 19, 20, 21, 29, 39, 43 |
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 #32 4/27 |
6.5 pp 395 - 396 | 6.5: 27-30, 61,63 | 9.3.2 Integrating Composite Exponential and Rational Functions by Substitution (Disc 3, 13:30) | |
| HW # 33 4/27*30 |
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 ##34 XXXXX |
7.2 pp 416-420 (area between curves) 7.2 p420-426 (Surplus and social gain) 7.3 pp 430-431 |
7.2:1,3,5,11, 15 7.2: 25, 37, 49 7.3: 1- 5odd, 29, 35a |
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) |
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| The 20 minute review. | Common Mistakes [16] | |||
| Reading INVENTORY | Problems INVENTORY | CD Viewing INVENTORY | Optional INVENTORY | |
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5.5 Elasticity and other economic applications of the derivative |
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7.5 p 442-445 + 8.2 8.4 p498-501 Critical points |
7.5: 1-7 |
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) |
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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] | ||
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Graphing, Technology problems from lab | |||
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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. | ||
| 7.5 8.4 pp 504-505 |
7.5: 11,
13, 17 8.4 :13, 15,17,19 |
The
second type of ... [8] |
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| 7.6 | 7.6: 1,3,13 |
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| 7.4 Future and present value. |
The 20 minute review. |
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| Future
and present value. Probability and DARTS |
7.4:1, 9, 21, 27 | |||
| 3.6: 31 | ||||
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3.8: 11-25 odd; 39-42 | |||
| 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 |
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| Gravity and
vertical motion [19] Solving vertical motion [12] |
Distance and Velocity [22] | |||
| 8.2: 45 | ||||
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Monday | Tuesday |
Thursday | Friday |
| Week 1 | 1-15 MLK Day. No Class |
Course Introduction | |
Numbers, Variables, Algebra Review |
| Week 2 | 1-22
Begin Functions. Functions, graphs and models. |
The coordinate plane. Functions, graphs. Points and Lines. |
More Functions |
Class Cancelled! |
| Summary of Weeks 1&2 Due Friday or Monday (new) 3pm |
1-29 More Functions | More Functions and Models: Linear Functions. | Slopes, rates. |
More linear models. Cost and demand. |
| Week 4 (Graphing,
Technology) |
2-5 Quadratic function and estimations. | Extremes and the tangent problem. | Average rates, and
slopes of secant and tangent
lines. Instantaneous Rates.The Derivative |
Begin: More Motivation:
Marginal cost, rates and
slopes. The Derivative and algebra. |
| Week 5 Summary of Weeks 3&4. Due Friday 3 pm. |
2-12
More on finding the derivative. Finding the derivative as function. Graphical Derivative as function graphs . |
Marginal Applications. Applications: Marginal vs. Average Cost |
More examples using 4 step The Derivative Calculus Start Power Rue |
Discuss Sum rule interpretations Constant Multiple Rule Interpretations. |
| Week 6 |
2-19
Justification of the power rule. |
Sum rule interpretations
Justify the sum
rule. Constant Multiple Rule Interpretations. Start Product rule. Justify product rule. |
Start Quotient Rule |
More on the Quotient rule. The Chain Rule |
| Week 7 Summary of Week 5&6 Due Friday 3 pm. |
2- 26 More Chain Rule |
Implicit Functions. |
Implicit Functions and related rates. |
More related rates. Examples: f does not have a derivative at a. |
| Week 8 Midterm Exam #1 Wed 3-7:Self-Scheduled | 3-5
Begin Exponential functions |
More on exponentials.
Review for Exam #1 |
Interest and value Models using exponential functions. |
Derivatives of exponentials, esp'ly exp'(x)=exp(x). |
| Week 9 | 3-12 Spring Break |
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Week 10 Summary of Weeks 7 and 8 Due 4pm Friday |
3-19 Derivatives of Exponentials |
More on models with exp and log equations. | Start Logarithmic functions. |
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| Week 11 | 3-26 Derivatives of Logarithms and Exponentials |
Logarithmic differentiation |
Logarithmic scales. Begin limits and continuity. Slide Rules!? |
3-30 CC Day No classes |
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Week 12 Summary of Weeks 10 & 11 Due Friday |
4-2.More on continuity and limits. IVT |
Begin Optimization and First Derivative Analysis The fence problem |
Optimization and IVT First Derivative Analysis |
More Optimization and Graphing. First Derivative Analysis |
| week 13 | 4-9 Begin Second Derivatives- Concavity and Curves |
More on Concavity acceleration |
Optimization: revenue example |
Horizontal Asymptotes Vertical Asymptotes |
| Week 14 Self Scheduled Exam #2 4-18 Lab ? |
4-16
Linear Estimation and "Differentials." Begin Differential equations and integration IV.A Differential Notation(started) |
More DE's. Introduction to the indefintie integral. |
Acceleration and integration |
Estimating cost changes from marginal costs. Costs, marginal costs, and estimation. Relative error. Introduction to the definite Integral? |
| Week 15 Summary of Weeks 12-15 Due Friday |
4-23
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. |
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. |
More Area and applications: Interpreting definite integrals. Fundamental Theorem I Partial derivatives. 1st order. |
Geometric Area. |
| Week 16 |
4-30 Substitution in definite integrals |
Visualizing Functions of 2 variables:
level curves, graphs of z=f(x,y) |
Extremes (Critical points) Least Squares example |
Future
and present value. Improper Integrals I and II Elasticity???? |
| Week 17 Final Examination Review Session Sunday 2:00pm-3:50pm Lib 56 |
Self Schedule for Final Examinations
Tues. May 8 10:20-12:10 FH 125 Wed. May 9 10:20-12:10 SH 128 Wed. May 9 12:30-14:20 SH 116 Fri. May 11 10:20-12:10 FH 125* (as per Exam Schedule) |
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| I. Differential
Calculus:
A. *Definition
of the Derivative
B. The
Calculus of Derivatives
C. Applications
of derivatives
D. Theory
|
E. Several Variable Functions
Partial derivatives. first order II. Differential Equations and Integral Calculus: A. Indefinite
Integrals (Antiderivatives)
Definition/ Estimates/ Simple Properties / Substitution *Interpretations (area / change in position/ Net cost-revenues-profit) *THE FUNDAMENTAL THEOREM OF CALCULUS - evaluation form
|