Work in Progress! Subject to Change.
| Date Due | Reading | Problems ( *= interesting but optional) | Optional | ||||||||
| 1/21-27 |
CET 1.1 SC 0.B1 Numbers [on-line] |
WA: Review: Algebra; Lines; Circles; Functions; Trig | SC 0.A What is Calculus?MD: Visualizing Functions(VF) |
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| 1/27-28 |
SC
0.B2 Functions [on-line]
CGC:Chapters -1 and 0. CET: Appendix B |
WA: HW #1 M109 1.1 Function Notation and Representation | On-line
Mapping Figure ActivitiesMD: Linear Functions(LF) |
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| 1/28-30 |
CET: 1.2 SC 0.C [on-line] |
WA: HW #2 M109 Lines (repeat of review!) and models | On
Moodle: SC 0.B3 Lines Practice Reality Quiz 1. |
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| 2/3-6 |
2.1 CGC pp 77-82 SC 1.A and 1.B |
WA: HW #3 M109 Secant&Tangent Lines, Av. Rates (2.1) | On
Moodle:SC I.A; I.B Stewart: 1.3 , 1.4 |
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| 2/6-7 |
2.7 On Moodle: SC I.D On Moodle: SC I. E |
HW #4 109 The Derivative! (2.7) | 2.7: 3(a[ignore i and ii.Use
4steps as in class],b), 4(a[ignore i and ii.Use 4steps as in class],b), 9 |
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| 2/7-2/11 |
2.8 3.1 CGC pp 83-89 |
HW #5 109 The Derivative More(2.8) | 2.7: Use the
4 steps method with x or t = a when appropriate in
11,13,17-19; 25 2.8: 1;3;19-22 Use the 4 steps method to find f '(a) |
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| 2/13-14 |
3.1 On Moodle SC I F.1 Review CGC pp 77-89 |
HW #6 109 The Derivative for some Fns! (3.1) | |||||||||
| 2/17-19 |
3.1 |
HW #7 109 The Derivative Calculus Begins (3.1) | |||||||||
| 2/18-20 |
3.1 CGC p29-34, 92-93. |
HW #8 109 The Derivative Calculus w/ e^x (3.1) | |||||||||
| 2/20-21 | 3.2 CGC p94-96 | HW #8.5 109 Products (3.2) | |||||||||
| 2/21 |
2.8 CGC 77-78, 81 |
HW #9 109 Calculus... 2nd and 1st Deriv. (3.1) | |||||||||
| 2/21-24 |
2.5, 3.1,3.2 |
HW #10 109 Products w / ln (3.2) | CGC104-106 Example 1. | ||||||||
| 2/24-25 | 2.5
pp118-120; 126-127 2.8 p 157-160 Example 5 Differentiability and continuity 3.2 | HW #12 109 Continuity and IVT (2.5) | |||||||||
| 2/24-25 | 2.5
pp118-120; 126-127 2.8 p 157-160 Example 5 Differentiability and continuity 3.2 | HW #12 109 Continuity and IVT (2.5) | |||||||||
| 2/28 | 4.8 pp
338-340 Read
web materials on Newton's Method. Review for MONDAY: Appendix D Especially formulae 6-8,10,12,13 | HW #13 109 Newton's Method (4.8) | |||||||||
| 3/3 | 3.2 | HW #14 109 Product and Quotient Rules (3.2) | |||||||||
| 3/4 | 3.3 Trig
Derivatives | HW #15 109 Trigonometric Functions ( 3.3 ) | |||||||||
| 3/7-10 | 3.4 The
Chain Rule | HW #16 109 Chain Rule I ( 3.4 ) | |||||||||
| 3/11 | 3.9 Related Rates | HW #17 109 Related Rates, More Chain
Rule(3.9+) | |||||||||
| 3/13-25 | 2.5 Implicit
differentiation Read web materials on implicit differentiation. | HW #18 109 Implicit
Diff'n ( 3.5 ) | |||||||||
| HW #19 S14 109 Implicit Differentiation&Rates 3.4 |
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| 3/14-25 | 3.6 Logs | HW #20 109 Ln and
logarithmic diff'n (3.6 ) | |||||||||
| 3/27 | 3.10
(i) 250-251 (ii) 253-254 Read web materials on differentials SC Ch 3A1 on Moodle CGC pp 145-148 | HW #20.5 109 Estimation (linear & dy) (3.10 ) | |||||||||
| 3/28 | 4.1 On-Line tutorial on Max/mins | HW #21 109 Extremes ( 4.1 ) | |||||||||
| 4.7 | HW #22 109 Extremes II (4.7) | ||||||||||
| 4.3(i)
290-292 (ii)292-297 | HW #23 109 MVT Plus ( 4.2
&4.3 ) HW #24 109 concavity I (4.3) | ||||||||||
| HW #25 109 Concavity II(& Words) ( 4.3 & 4.7 ) | |||||||||||
| 2.2, 4.4 (Asymptotes,
infinite limits) | HW #26 109 Graphing+max/min (2.6; 4.5, 4.7) | ||||||||||
| Below this line is not yet assigned! | |||||||||||
| IVA(On-line)
A java graph showing f (x)=P'(x) related for f a cubic polynomial |
HW #27 109 Antiderivatives and DE's (4.9) | ||||||||||
| 4.9 IVB (On-line) Read |
HW #28 109 Indefinite
Integrals & IVP's (4.9) |
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| 9.2 (i)
585-588 IVD (on-line) |
HW #29 109 direction fields DE's & IVP's (9.2) | ||||||||||
| Examination #2 Self
Scheduled (See Moodle) |
Covers primarily Assignments 18-29. |
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| IVE (on-line) | HW #30 109 Euler's Method ( 9.2) | ||||||||||
| Marginal
Cost ? |
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| Read web materials on trigonometric derivatives. | HW #17 109 Trigonometric Functions II ( 3.3 ) | ||||||||||
| 3.7, 3.8 |
HW #22 109 Ln and differentiation (3.6) | ||||||||||
| (i)pp271-274
(ii) pp275-276 plus (iii) reread ... all |
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| 4.7 | HW #24 109 Extremes II (4.7) | ||||||||||
| 4.2 The MVT! | |||||||||||
| 4.3(i)
287-289 (ii) 290-294 |
HW #25 109 MVT Plus ( 4.2
&4.3 ) HW #26 109 concavity I (4.3) |
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| 2.2 pp94-96 Vertical Asymptotes | HW #27 109 Concavity II (and Words) ( 4.3 & 4.7 ) | ||||||||||
| 4.4 (i)
298-302 Horiz. Asymptotes (ii) |
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| 4.6 (i)
Read Examples 1-3! (ii) Read Example 4 |
HW #29 109 Graphing (with tech)+max/min (4.6, 4.7) | ||||||||||
| 9.2 (i)
572-575 (ii) 575-577 |
HW #31 109 direction fields DE's & IVP's (9.2) | ||||||||||
| IVE (on-line) | HW #32 109 Euler's Method ( 9.2) | ||||||||||
| IVF READ | |||||||||||
| VA ( On Line) NEW! | HW #33 109 The Fundamental theorem I | ||||||||||
| 5.3 (i)
and (ii) p391-392 (iii) p393-396 |
HW #33 109 The Fundamental theorem I | ||||||||||
| Appendix E
p.A34 Sum Notation |
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| 5.4 (i)and
(ii)p347-350 (iii)351-352 |
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| 5.5 (i)
400-403 (ii) 403-406 |
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| 5.2 (i) p;
Example 2a; . (ii) |
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| 6.5 | |||||||||||
| 6.1 (i)
pages (ii) pages |
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| 6.2 (i)
pp (ii) pp (iii)p |
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| 6.3 | |||||||||||
| 6.4 p | |||||||||||
| 2.4? | |||||||||||
| (i) Sens. Calc. I.C.1 on Probability Models | |||||||||||
| 5.1 | |||||||||||
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| Week |
|
|
|
Friday |
|---|---|---|---|---|
| 1 | 1-20 No Class MLK Day |
1-21 Introduction & Review |
1-23 More review. |
1-24 The Tangent Problem Circle... parabola. |
| 2 | 1-27 Lines: slopes Mapping diagrams. |
1-28 Slopes of tangents revisited. |
1-30 Models: | 1-31rates |
| 3 | 2-3 Velocities and tangents: Introduction to the Derivative |
2-4 More on Derivatives. |
2-6 Start on the calculus of
derivatives; |
2-7 More calculus notation !Start calculus core and rules. |
| 4 Summary
#1 due Monday 2-10 Problem of the Week #1: Thursday 2-13-2014 |
2-10 Powers, sums, constant
multiples. |
2-11 More Core and rules applied.
Proof of Sum and Scalar rules |
2-13Calculus for Negative powers. Fractional Powers |
2-14 Use of "limit" Notation. Begin Exponential functions. |
| 5 |
2-17 More on Exponential and
rules... A function without a derivative. |x|. Begin product rule? |
2-18 The Product Rule |
2-20The second derivative and acceleration. ln- derivative - a quick look. |
2-21 More on ln and derivatives of log base b.
More functions without derivatives. |
| 6 Problem
of the Week #2 due Tuesday 2-25 Summary #2 due Thursday 2-27 |
2-24 Functions and "continuity" | 2-25 Diff => Cont. One sided Limits. Infinite limits. (sqrt(x)) Intermediate Value Theorem and applications to estimating solutions to equations. |
2-27 Marginal cost. IVT and more on estimates for solving equations.Newton's method. Quotient Rule ? |
2-28 More Newton's Method (?)
TRIG! |
| 7 |
3-3 Finish sine, cosine, etc. |
3-4Chain Rule | 3-6 More chain rule | 3-7 More chain rule and applications to related rates |
| 8 Exam I Self scheduled: Wed. 3-11 |
3-10 More chain rule and applications to related rate. | 3-11 implicit differentiation. | 3-13 Ln- the last core function again!. |
3-14 More applications of ln log diff. Preview of remainder of course: What the derivative can tell us. |
| 3-17 to 3-21 No classes. Spring break |
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| 9 Summary #3 due 3-27 |
3-24 Linear estimates | 3-25 The differential. Read web materials on differentials First Derivative analysis of function behavior. Continuity and Extremes. |
3-27 1st deriv analysis for extremes | 3-28 Extreme Problems |
| 10 | 3-31 NO Class. CC day | 4-1.Extremes and
increasing/decreasing derivative analysis for local
extremes. |
4-3 The
Mean Value Theorem: A fundamental theorem of calculus and it application to derivative analysis. proof. |
4-4 Concavity and
the second derivative The second derivative Test for extremes, |
| 11 | 4-7 Still more on asymptotes and
extremes. |
4-8 Asymptotes. |
4-10 More Extreme Problems and other applications
of the derivative. Vertical Tangents and Cusps |
4-11 The
Mean Value Theorem: Proof. Begin Differential Equations, DE's Solutions |
| 12 POW # 4 Due
Friday April 18, 2014 |
4-14 More Extreme Problems and Graphing? |
4-15 anti-derivatives, Initial
Value Problems. Simple calculus for anti-derivatives, |
4-17 Tangent (Direction) fields. |
4-18 Euler's Method |
| 13 Summary #4 due Monday 4-21 Exam II self scheduled TBA |
4-21Euler and ... Area | 4-22 Euler and ... Area and ..
FT of Calc. |
4-24 The Definite Integral and
the FT of C |
4-25 |
| 14 |
4-28 |
4-29 |
5-1 |
5-2 |
| 15 Summary #6 TBA | 5-5 |
5-6 |
5-8 |
5-9 |
| 16 Final
Examination Self scheduled Review Session- Sunday TBA |
Monday May 12 10:20-12:10 Art 27 |
Thursday May 15 10:20-12:10 FH 177 |
Thursday May 15 12:40-14:30 Art 27 |
Friday May 16 10:20-12:10 FH 177 |