Martin Flashman's Courses
Math 109 Calculus I Spring, '11
MTRF12:00-12:50      HGH_106
Work in Progress!





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Last updated: 2/13/2011


Date Due Reading Problems ( *= interesting but optional) Optional
1/20-21
1.1
SC 0.B1  Numbers [on-line]
WA: Review: Algebra; Lines; Circles; Functions; Trig SC 0.A What is Calculus?
1/21-24
SC 0.B2 Functions [on-line] 

Appendix B
WA: HW #1 M109 1.1 Function Notation and Representation On-line Mapping Figure Activities
1-25-27
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.
1-25-27
2.1
WA: HW #3 M109 Secant&Tangent Lines, Av. Rates (2.1) On Moodle:SC I.A; I.B
Stewart: 1.3
, 1.4

1-27
On Moodle: SC I.D

 
1-27-31
2-1

2.7
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
1/31-2/3
2.8
3.1
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) 
2/3-2/7
3.1
On Moodle SC I F.1
HW #6 109 The Derivative for some Core Fns! (3.1)
2/8-2/10
3.1
HW #7 109 The Derivative Calculus Begins (3.1)  
2/8-2/11
3.1
HW #8 109 The Derivative Calculus w/ e^x (3.1)
2/9-2/14
2.5, 3.1
HW #9 109 Calculus... 2nd and 1st Deriv. (3.1)
2/11-17
2.8
HW #10 109 No Derivative? (2.8)
2/15-2/18
2.5pp119-121; 126-127
4.8 334-336
2.8 p 157 Example 5
 
(iii)p157-160. Differentiability and continuity
4.8
Read web materials on Newton's Method.
HW #11 109 MarginalCost ? continuity I (3.7; 2.5)
HW #12 109 Continuity and IVT (2.5)
HW #13 109 Newton's Method (4.8)

2/21-2/24
3.2 HW #14 109 Products ( 3.2 )
HW #15 109 Product and Quotient Rules (3.2)
 
2/24-28
Appendix D 
Especially formulae 6-8,10,12,13
3.3
HW #16 109 Trigonometric Functions ( 3.3 )  
2/28-3/1
Read web materials on trigonometric derivatives. HW #17 109 Trigonometric Functions II ( 3.3 )
2/28-3/3
3.4 The Chain Rule 
HW #18 109 Chain Rule I ( 3.4 )
3/7 -3/8
3.5
Read web materials on implicit differentiation.
HW #19 109 Chain Rule II ( 3.4
HW #20 109 Implicit Differentiation&Rates ( 3.4 )

3/10
3.6 Logs
HW #21 109 More Rates and Ln! (3.6 and 3.9)
3/22
3.7, 3.8
HW #22 109 Ln and differentiation (3.6)

3.9 Related rates


2.8 Higher Order Derivatives 



2.5 pp 126-127 






3-24
4.1(i)pp271-274 
(ii) pp275-276 plus 
On-Line tutorial on Max/mins 
(iii) reread ... all
HW #23 109 Extremes ( 4.1 )
3-25
4.7 HW #24 109 Extremes II (4.7)

4.2 The MVT!

3-29
4-1
4.3(i) 287-289

(ii) 290-294
HW #25 109 MVT Plus ( 4.2 &4.3 )
HW #26 109 concavity I (4.3)

4-4/4-6
2.2 pp94-96 Vertical Asymptotes HW #27 109 Concavity II (and Words) ( 4.3 & 4.7 )
4-5
4.4 (i) 298-302  
Horiz. Asymptotes 
(ii)


4-1 ;4-6 3.10 (i)  205-207 
(ii) 209-210 
Read web materials on differentials 
HW #28 109 Estimation (linear & dy) (3.10 )

4.5 Read Examples 1-3!

4-11
4.6 (i) Read Examples 1-3! 
(ii) Read Example 4
HW #29 109 Graphing (with tech)+max/min (4.6, 4.7)  
4-11
IVA(On-line) 
A java graph showing 
f (x)=P'(x) related for f a cubic polynomial


4-14 4.9
IVB (On-line) Read
HW #30 109 Antiderivatives and DE's (4.9)
4-20
Examination #2 Self Scheduled (See Moodle)
Covers primarily Assignments 20-30.

 4-18
9.2 (i) 572-575  
     (ii) 575-577
HW #31 109 direction fields DE's & IVP's (9.2)
4-19
IVD (on-line)

4-21/ 23
IVE (on-line) HW #32 109 Euler's Method ( 9.2)
4-21
IVF READ

4-22
VA ( On Line) NEW! HW #33 109 The Fundamental theorem I 
4-25
5.3 (i) and (ii) p391-392 
(iii) p393-396
HW #33 109 The Fundamental theorem I

Appendix E p.A34 
Sum Notation



5.4 (i)and (ii)p347-350 
(iii)351-352











5.5 (i) 400-403
(ii) 403-406



5.2 (i) p; Example 2a; . 
(ii)



6.5


6.1 (i) pages
(ii) pages



6.2 (i) pp  
(ii) pp
(iii)p



6.3


6.4 p


2.4?


(i) Sens. Calc. I.C.1 on Probability Models 

(ii) Calculus and Probability Outline (on-line)




5.1



Read on-line  Sens. Calc. 0.C on Probability Models


Read on-line  
Sens. Calc. I.C.1 on Probability Models





CHECKLIST FOR REVIEWING FOR THE FINAL   * indicates a "core" topic.
I. Differential Calculus: 
A. *Definition of the Derivative 
Limits / Notation 
*Use to find the derivative 
Interpretation ( slope/ velocity ) 
B. The Calculus of Derivatives 
* Sums, constants, x n, polynomials 
*Product, Quotient, and Chain rules  
*Trignometric functions 
Implicit differentiation 
Higher order derivatives 
C. Applications of derivatives 
*Tangent lines 
*Velocity, acceleration, rates (related rates)  
*Max/min problems 
*Extrema (local/ global) 
*Graphing: * increasing/ decreasing  
concavity / inflection 
Asymptotes 
The differential and linear approximation  
Newton's method
L'Hospital's Rule
D. Theory 
*Continuity (definition and implications) 
*Extreme Value Theorem
* Intermediate Value Theorem
 
*Mean Value Theorem 
II. Differential Equations and Integral Calculus: 
A. Indefinite Integrals (Antiderivatives) 
*Definitions and basic theorem 
*Simple properties [ sums, constants, polynomials] 
*Substitution 
B. Euler's Method, etc. 
Euler's Method 
*Simple differential equations with applications 
Tangent (direction) fields/ Integral Curves 
C. The Definite Integral 
Euler Sums / Definition/ Estimates (endpoints/midpoints) /Simple Properties / Substitution 
*Interpretations (area / change in position) 
*THE FUNDAMENTAL THEOREM OF CALCULUS - evaluation form 
THE FUNDAMENTAL THEOREM OF CALCULUS - derivative form 
Recognizing sums as the definite integral  
 

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OFFICE: BSS 356                                      PHONE:826-4950
Hours (Tent.): MWRF  8:15-9:30 AND BY APPOINTMENT or chance!
E-MAIL: flashman@humboldt.edu               WWW:  http://users.humboldt.edu/flashman/
***PREREQUISITE: Math 115 or Math code 50 or permission. See also Teresa (Tami) Matsumoto's CALCULUS REVIEW Page . .


FINAL GRADES: Though final grades for the course are subject to my discretion, I will use the following overall percentages based on the total number of points for your work to determine the broader range of grades for the course.   
 A
  85-100% ;   70- 84% ;  C  60- 69% ;  D  50- 59%  ;  F   0- 49%

 Students with Disabilities: Persons who wish to request disability-related accommodations should contact the Student Disability Resource Center in House 71, 826-4678 (voice) or 826-5392 (TDD). Some accommodations may take up to several weeks to arrange. http://www.humboldt.edu/disability/


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