Week 



Friday 

1  117 No Class MLK Day 
118 Introduction & Review 
120 More review. 
121 The Tangent Problem Circle... parabola. 
2 
124 Models: rates Lines: slopes Mapping figures. 
125 Slopes of tangents revisited. 
127 Introduction to the Derivative  128 More on the Derivative 
3 POW #1 Due
Thursday 23 Summary #1 due Tuesday 21 
131Start on the calculus of
derivatives; Notation! 
21More calculus and "limit" notation ! 
23 Start calculus core and rules. Powers, sums, constant multiples. 
24More Core and rules applied. Negative powers. Begin Exponential functions. 
4 POW #2: Due Thurday 210  27More on Exponential and rules 
28 The second derivative and
acceleration. 
210A function without a derivative.
x. 
211 More functions without
derivatives. Infinite limits. (sqrt(x)) One sided Limits. marginal cost 
5 Summary #2
due Thursday 217 
214more on Marginal cost. Functions
and "continuity" 
215 Intermediate Value Theorem and
applications to inequalities. 
217IVT and solving equations. Newton's method(?) 
218 Diff => Cont. More Newton's Method 
6 POW #3: Due Monday 228  221Product Rule  222 Quotient Rule  224 Sine 
225 Finish sine, cosine, etc. 
7 Summary #3 due Thursday 33 
228 Chain Rule Continuity and Extremes. 
31 More chain rule and
applications to related rates and implicit differentiation. 
33 Ln the last core function. 
34 related rates 
8
Exam I Self
scheduled: Wed. 38 
37 more related rates and ln. 
38 More applications of
ln,beginlogarithmic differentiation 
310 log diff. 
311 begin extremes. 
No
classes. Spring break 

9POW #4: Due
Thursday 3 24 Summary #4 due Friday 325 
321 Extremes and applications 
322 First Derivative analysis of
function behavior. 
324 The Mean Value Theorem: A fundamental theorem of calculus and it application to derivative analyis. 
325 The Mean Value Theorem: proof and 1st deriv analysis for extremes. 
10  328 Concavity and the second derivative.  329. Linear estimates, differentials,
extremes and 2nd deriv. Read web materials on differentials 
331 No Class CC Day 
41 The differential. 
11 POW #5: DueThursday 47  44 More Extreme Problems and other
applications of the differential and the derivative. Asymptotes. 
45 More asymptotes, 
47 Still more on asymptotes and
extremes. 
48 Cusps and asymptotes. Begin
Differential Equations, 
12 Summary #5 due 414  411 DE's Solutions, antiderivatives,
Initial Vale Problems. 
412 Simple calculus for
antiderivatives, Tangent (Direction) fields. 
414 
415 
13 Exam
II self scheduled Wed. 420 
418 Euler's Method 
419 Euler and ... Area and .. FTof
Calc. 
421 The Definite Integral and the FT
of C 

14POW #6:
Due 428 

15 Summary #6  
16 
17 Final Examination
Self scheduled Review Session: Sunday 2:304:45 
59 Office:8:1510:00 
510 Office:8:1510:00 
511 Office: 8:1510:00 Exam 10:20 12:10 HGH 106 
512
Office: 8:1510:00 Exam: 12:4014:40 HGH 106 
513 Office: 8:1510:00 Exam 10:20 12:10 KA 104 
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 
Back to Martin Flashman's Home Page :)
Every other week (with some exceptions) partnerships will
submit a response
to
the "problem/activity of the week." (POW)
All cooperative problem work will be graded 5
(well
done), 4
(OK), 3 (acceptable), or 1(unacceptable) and will be used in
determining
the 50 points allocated for cooperative assignments.
Reality Quizzes  150 points 
Oral Quiz  20 points 
2 Midterm Examinations  200 points 
Homework  130 points 
Cooperative work  50 points 
Final Examination  200/300 points 
Total  750/850 points 
•Students with Disabilities: Persons who wish to request disabilityrelated accommodations should contact the Student Disability Resource Center in House 71, 8264678 (voice) or 8265392 (TDD). Some accommodations may take up to several weeks to arrange. http://www.humboldt.edu/disability/