Math 1210-2
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Week 1: Aug 20-24
aug20.pdf P.1: lines
aug21.pdf P.2: slope of a graph
aug22.pdf P.3: derivatives of polynomials
aug24.pdf P.3: Pascal's triangle and derivatives as velocity. derivatives of polynomials
Week 2: Aug 27-31
aug27.pdf P.4: antiderivatives
aug28.pdf P.5: definite integrals
aug29.pdf 0.4: graphs of equations: reflecting, translating, scaling.
aug31.pdf 0.4: graphs of equations: symmetry, intercepts, intersections.
Week 3: Sept 4-7
sept4.pdf 0.5-0.6 functions
sept5.pdf 0.7 trigonometry
sept7.pdf 0.7 fitting a sine curve
Week 4: Sept 10-14
sept10.pdf 1.1 limits introduction
sept11.pdf 1.2 rigorous limits
sept12.pdf 1.3 limit theorems and review sheet.
Week 5: Sept 17-21
sept17.pdf 1.4 limits involving trig functions
sept18.pdf 1.6 continuity
sept19.pdf 2.1 derivatives as rates of change are everywhere!
sept21.pdf 2.2-2.3 derivatives and continuity. Differentiation by limit definition, and by the sum, product, and quotient rules.
Week 6: Sept 24-28
sept24.pdf 2.4-2.5 derivatives of trig functions and the chain rule
sept25.pdf 2.4-2.5 continued.
sept26.pdf 2.6-2.7 higher order derivatives; implicit integration introduction.
sept28.pdf 2.7-2.8 implicit integration and related rates.
Week 7: Oct 1-4
oct1.pdf extra: a review of formulas from geometry
oct2.pdf 2.8 four examples of related rates problems, worked out in class
oct3.pdf 2.9 differentials - definition, approximation, error analysis.
oct5.pdf 3.1-3.2 maxima and minima
Week 8: Oct 15-19
oct15.pdf 3.1-3.2 extreme values, monotonicity and concavity.
oct16.pdf first and second derivative tests for local extrema.
oct17.pdf Review sheet and problems for Friday exam
Week 9: Oct 22-26
oct22.pdf 3.3-3.4 graphing example, using inc/dec, CU/CD analysis. Also, introduction to practical and scientific max/min problems.
oct23.pdf 3.4 more max/min.
oct24.pdf 3.5 graphing with calculus
oct26.pdf 3.5 more graphing
Week 10: Oct 29 - Nov 2
oct29.pdf 3.6 Mean value theorem.
oct30.pdf 3.7 bisection and Newton, for numerical (approximate decimal) solutions to equations.
oct31.pdf 3.8 antidifferentiation
nov2.pdf 3.8-3.9 antidifferentiation and differential equations
Week 11: Nov 5 - Nov 9
nov5.pdf 3.9 separable DE example: escape velocity.
nov6.pdf 4.1 Introduction to "area", really an introduction to the definite integral.
nov7.pdf 4.2 The Riemann Integral is a limit of Riemann sums
nov7MAPLE.mws Maple worksheets have suffix .mws - open these from MAPLE.
nov7MAPLE.pdf Text version of the worksheet above
1210MAPLEintro.mws
1210MAPLEintro.pdf
mathaccounts.pdf
nov9.pdf 4.2, 4.4 Riemann (definite) integral examples, by geometry and FTC2; the proof of FTC2.
Week 12: Nov 12 - Nov 16
nov12.pdf 4.3-4.4 FTC1 and FTC2
nov13.pdf 4.3-4.4 FTC1 and FTC2, and exam 3 review sheet.
(no lecture notes nov 14. - we reviewed for the exam.)
Week 13: Nov 19 - Nov 21
nov19.pdf 4.5 Mean value theorem for integrals; symmetry saves time in definite integration.
nov20.pdf 4.6 Numerical approximations to definite integrals: Trapezoid Rule and Simpson's Parabolic Rule
TrapSimp.mws The Maple code with subroutines to compute Trapezoid and Simpson approximations to definite integrals
nov21.pdf 5.1 Area of plane regions via horizontal and vertical slicing.
Week 14: Nov 26 - Nov 30
nov26.pdf 5.2 Volumes by planar slabs
nov27.pdf 5.2- 5.3 Volumes by slabs and by cylindrical shells.
nov28.pdf 5.4 Lengths of curves
nov30.pdf 5.4 curve length and surface area
Week 15: Dec 3 - Dec 7
dec3.pdf 5.5 work (actually we didn't use most of these notes)
dec4.pdf 5.5 work
dec5.pdf 5.6 moments and center of mass
dec7.pdf review sheet