Due Date |
Reading for 3rd Edition | Problems | CD Viewing [# minutes] | Comments Optional Work |
HW #1 1-24/1-28* |
A.1
Review of Real Numbers A.3 Multiplying and Factoring 1.1 pp 3-6 |
Moodle 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] |
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HW #2 1-25/1-29* | 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 1-31/2-1* |
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 again! [19] | |
HW #4 2/1-4* |
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 Moodle
Practice
Quiz on Functions On-line Mapping Figure Activities- (this may be slow downloading) |
HW #5 2/4-7* |
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 2/7-11-12* |
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 |
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] |
Summary #1 2-8 |
Summaries: Every two weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. [Recommended:The summaries may be submitted in a partnership (2-3 members).] Each individual partner will receive corrected photocopies. | |||
HW #6.5 2/12-14* |
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) | try Moodle Practice quiz on writing responses. |
HW #7 2/15-18* |
3.2
derivative estimates 3.3 The Derivative: An Algebraic Viewpoint |
3.2: 13, 16, 17,
19, 20; 23, 24 3.3: Use "4-step process" from class - 1, 2, 5 [Ignore the problem instruction!] |
3.1.2 Finding Instantaneous Velocity (Disc 1, 19:57) | |
HW #8 2-18/19* |
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) | Practice Quiz on Slopes of Tangent Lines using 4 steps. |
HW #9 2-19/21 |
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) |
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Summary #2 2-22 | Summaries: Every two weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. [Recommended:The summaries may be submitted in a partnership (2-3 members).] Each individual partner will receive corrected photocopies. | |||
HW #9.5 2-22/25* |
3.2 Derivative function graphs, interpretation | 3.2 :39, 41, 42, 59-64, 97,98, 109, 110 | 3.2.1 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 2-22/25* |
3.4(Again) The Derivative: Simple Rules |
3.4: 61, 65, 67,
71, 79; 29, 37, 41, 42, 53, 55, 63, 64 |
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HW #11 2-25/26* |
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 2-28 |
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 2-29 |
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 3-3/4* |
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 Diffe
More on Instantaneous Rate [19] 4.4: 53 6.2.1 Using Implicit Differentiation (Disc 2, 22:24)rentiation (Disc 2, 14:43) |
HW#15 3-6/7* |
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) | |
Midterm Exam #1 Self-Scheduled: Tuesday 3-11 evening 5:30-9:00 pm; Wednesday 3-12 morning 8:30-11:50 am. Covers Material from HW # 1-15( part of 17) and related sections. see Sample Exam on Moodle. |
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HW #16 3-4/6* |
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 3-4/6* |
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 3-25/27* |
2 .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 3-25/27* |
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 3-28/4-1 |
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 4-1/3* |
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 |
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HW #21 4-7/8* |
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) |
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HW #22 4-7/8* |
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 4-10/11* |
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) |
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HW #24 4- 14/15* |
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 4-15/17* |
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 4-18/21* |
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 4-21/22* |
3.6,3.8 Again! On-Line: Linear Estimation |
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) 7.2.2 Using the Tangent Line Approximation Formula (Disc 2, 24:22) |
On-line
Problems on Linear Estimation L1-6; A1-5; App1-3 |
Midterm Exam #2 Self-Scheduled Try to come 5 minutes before your starting time: Tuesday 4-22 evening 5:30-9:00 pm BSS 302 Wednesday 4-23 morning 8:30-11:50 am come to BSS 356. Covers Material from HW # 15-26 ( and related sections). see Sample Exam II on Moodle. |
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 4-24/25* |
6.1 The Indefinite Integral p 353-358 On-line tutorial for 6.1. Differential equations and integration SC IV.A |
6.1: 1-13odd | 9.1.2 Antiderivatives of Powers of x (Disc 2, 17:56) 9.1.1 Antidifferentiation (Disc 2, 13:59) |
SC.III.AThe Differential |
HW #29 4-24/28* |
6.1 Applications p 359-361 | 6.1: 15,17, 27, 35, 41-44,51 | ||
HW #30 4-25/29* |
IV.E
6.3. The Definite Integral As a Sum. p 373-376, 380 6.2 Substitution pp364-367 |
6.3: 1-5 odd, 15, 19, 21
6.2: 1-6; 21,23 |
9.4.1 Approximating Areas of Plane Regions (Disc 3, 9:39) 10.1.1 Antiderivatives and Motion (Disc 3, 19:51) |
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HW #31 4-29/5-2* |
8.1 Functions
of Several Variables. p467-471 6.4 The Definite Integral: Area p384-386 6.5 pp392-395 The Fundamental Theorem |
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 4-29/5-2* |
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 5/11 |
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 5/11 |
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) |
5.5 Elasticity and other economic applications of the derivative |
ASSIGNMENT INVENTORY From Fall, 2007 |
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Reading INVENTORY | Problems INVENTORY | CD Viewing INVENTORY | Optional INVENTORY | |
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) The second type of ... [8] 17.1.3 Infinite Limits of Integration, Convergence, and Divergence (Disc 4, 11:50) |
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7.4 Future and present value. |
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The 20 minute review. | Common Mistakes [16] | |||
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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 |
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7.6 | 7.6: 1,3,13 |
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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 | 1-21 No Class- MLK Day |
Course Introduction Numbers, Variables |
Algebra Review
Begin Functions. |
More functions review The coordinate plane. Functions, graphs. |
Week 2 | 1-28 Functions, graphs and models. Points and Lines |
Lines and models. |
More Functions |
Models: Linear Functions. Slopes and rates |
Week 3 Summary of Weeks 1&2 Due Friday 5 pm. |
2-4 More linear models. Quadratic functions. |
Estimation. More Quadratics. |
Extremes and the tangent problem. |
Average rates, and slopes of secant and tangent lines. |
Week 4 (Graphing, Technology) | 2-11 Instantaneous Rates. The Derivative |
More Motivation: Marginal cost, rates and slopes. | The Derivative and algebra. | More on finding the derivative.Finding the derivative as function. |
Week 5 Summary of Weeks 3&4. Due Friday 3 pm. | 2-18 Begin: The Derivative Calculus Definition of the derivative. Graphical Derivative as function graphs |
Justification of the power rule for n>0. | Der. of 1/x Justify the sum and constant multiple rules. Constant Multiple Rule Interpretations |
Notation. Discuss Sum rule interpretations. Marginal Applications. Applications: Marginal vs. Average Cost Start Product rule. |
Week 6 | 2-25 Justify product rule. | Start Quotient Rule | More on the Quotient rule. The Chain Rule |
Implicit functions. |
Week 7 Summary of Week 5&6 Due Friday 3 pm. |
3-3 More Chain Rule Implicit Differentiation |
More Implicit Functions and related rates. | More Implicit Functions and related rates. |
More Implicit Functions and related rates. Examples: f does not have a derivative at a. |
Week 8 Midterm Exam #1 Self-Scheduled 3-11 and 3-12 |
3-10 Begin Exponential functions Interest and value. |
More exponentials. e and compunding interest continuously. Last Review for Exam #1 |
More exponentials. e and compunding interest continuously. | Derivatives of exponentials, esp'ly exp'(x)=exp(x) |
Week 9 | Spring Break - No classes | |||
Week 10 Summary of Weeks 7 and 8 Due 4pm Friday |
3-24 Finish derivatives of exp's, etc. Logarithmic functions. Start Logarithmic functions. |
Derivatives of Logarithms and Exponentials More on models with exp and log equations. |
More on log properties. Logarithmic differentiation Logarithmic scales. Slide Rules!? |
More on log properties. Logarithmic differentiation |
Week 11 | 3-31 No Class CC Day |
Finish logs/exps.
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limits and continuity, Continuity IVT More on continuity and limits. |
More on Continuity. IVT. |
Week 12 Summary of Weeks 9 & 10 Due Friday |
4-7 IVT and bisection. Begin Optimization and First Derivative Analysis |
First
Derivative Analysis More Optimization and Graphing. Optimization and IVT |
Optimization: revenue example More Optimization and Graphing. The fence problem Optimization: revenue example |
Begin Second Derivatives- acceleration Concavity and Curves |
Week 13 |
4-14 More on Concavity | Vertical Asymptotes |
Horizontal Asymptotes. | 4-18 Costs, marginal costs, and estimation. Linear Estimation and "Differentials." |
week 14 Self Scheduled Exam #2 Tues. and Wed. |
4-21Relative error. Begin Differential equations and integration IV.A |
More DE's. |
Acceleration and integration Euler's Method. |
Introduction
to the Definite Integral. IV.E Riemann Sums and Estimating Change The definite integral and The FTofC |
Week 15 Summary of Weeks 12-15 Due Friday |
4-28 Substitution in an indefinite integral! Intro to functions of 2 or more. Functions of many variables. Tables for 2 variables. |
Area
. Finding area by estimates and using anti-derivatives. Fundamental Theorem I |
More Notation, Area and applications:
Interpreting definite integrals. Average Value. Partial derivatives. 1st order. linear estimation |
Review Substitution then substitution in definite integrals |
Week 16 | 5-5 Linear Estimations and Partial Derivatives. Area between curves. |
More on Area and integration. Consumer& Producer Surplus; Social Gain. |
Elasticity Extremes (Critical points) Least Squares example |
2nd order partial derivatives Future and present value Visualizing Functions of 2 variables: level curves, graphs of z=f(x,y) Improper Integrals I and II? |
Week 17 Final Examination Review Session Sunday |
Self Schedule for Final Examinations
Mon. May 12 15:00-16:50 TBA come to BSS 356 Wed. May 14 15:00-16:50 SH 128* (as per Exam Schedule) Wed. May 14 12:40-14:30 NR 201 Thur. May 15 15:00-16:50 SH 128 OR Special Appointment |
I. Differential
Calculus:
A. *Definition
of the Derivative
B. The
Calculus of Derivatives
C. Applications
of derivatives
D. Theory
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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
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