| Week |
|
|
|
Friday |
|---|---|---|---|---|
| 1 | 1-17 No Class MLK Day |
1-18 Introduction & Review |
1-20 More review. |
1-21 The Tangent Problem Circle... parabola. |
| 2 |
1-24 Models: rates Lines: slopes Mapping figures. |
1-25 Slopes of tangents revisited. |
1-27 Introduction to the Derivative | 1-28 More on the Derivative |
| 3 POW #1 Due
Thursday 2-3 Summary #1 due Tuesday 2-1 |
1-31Start on the calculus of
derivatives; Notation! |
2-1More calculus and "limit" notation ! |
2-3 Start calculus core and rules. Powers, sums, constant multiples. |
2-4More Core and rules applied. Negative powers. Begin Exponential functions. |
| 4 POW #2: Due Thurday 2-10 | 2-7More on Exponential and rules |
2-8 The second derivative and
acceleration. |
2-10A function without a derivative.
|x|. |
2-11 More functions without
derivatives. Infinite limits. (sqrt(x)) One sided Limits. marginal cost |
| 5 Summary #2
due Thursday 2-17 |
2-14more on Marginal cost. Functions
and "continuity" |
2-15 Intermediate Value Theorem and
applications to inequalities. |
2-17IVT and solving equations. Newton's method(?) |
2-18 Diff => Cont. More Newton's Method |
| 6 POW #3: Due Monday 2-28 | 2-21Product Rule | 2-22 Quotient Rule | 2-24 Sine |
2-25 Finish sine, cosine, etc. |
| 7 Summary #3 due Thursday 3-3 |
2-28 Chain Rule Continuity and Extremes. |
3-1 More chain rule and
applications to related rates and implicit differentiation. |
3-3 Ln- the last core function. |
3-4 related rates |
| 8
Exam I Self
scheduled: Wed. 3-8 |
3-7 more related rates and ln. |
3-8 More applications of
ln,beginlogarithmic differentiation |
3-10 log diff. |
3-11 begin extremes. |
| No
classes. Spring break |
||||
| 9POW #4: Due
Thursday 3- 24 Summary #4 due Friday 3-25 |
3-21 Extremes and applications |
3-22 First Derivative analysis of
function behavior. |
3-24 The Mean Value Theorem: A fundamental theorem of calculus and it application to derivative analyis. |
3-25 The Mean Value Theorem: proof and 1st deriv analysis for extremes. |
| 10 | 3-28 Concavity and the second derivative. | 3-29. Linear estimates, differentials,
extremes and 2nd deriv. Read web materials on differentials |
3-31 No Class CC Day |
4-1 The differential. |
| 11 POW #5: DueThursday 4-7 | 4-4 More Extreme Problems and other
applications of the differential and the derivative. Asymptotes. |
4-5 More asymptotes, |
4-7 Still more on asymptotes and
extremes. |
4-8 Cusps and asymptotes. Begin
Differential Equations, |
| 12 Summary #5 due 4-14 | 4-11 DE's Solutions, antiderivatives,
Initial Vale Problems. |
4-12 Simple calculus for
antiderivatives, Tangent (Direction) fields. |
4-14 |
4-15 |
| 13 Exam
II self scheduled Wed. 4-20 |
4-18 Euler's Method |
4-19 Euler and ... Area and .. FTof
Calc. |
4-21 The Definite Integral and the FT
of C |
|
| 14POW #6:
Due 4-28 |
||||
| 15 Summary #6 | ||||
| 16 |
||||
| 17 Final Examination
Self scheduled Review Session: Sunday 2:30-4:45 |
5-9 Office:8:15-10:00 |
5-10 Office:8:15-10:00 |
5-11 Office: 8:15-10:00 Exam 10:20- 12:10 HGH 106 |
5-12
Office: 8:15-10:00 Exam: 12:40-14:40 HGH 106 |
5-13 Office: 8:15-10:00 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 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/