Sept. 8 |
Review Summer Packet, Second Derivative Test, Limits at Infinity |
t.b.d |
Sept. 10 |
Review Summer Packet, Second Derivative Test, Limits at Infinity |
t.b.d. |
Sept. 14 |
Exam (Summer Packet) |
t.b.d |
Sept |
Optimization Problems |
Pgs: 210-212 #'s 3,11,15,16,25,31,36,39,46 |
Sept |
Differentials |
Pgs: 226-227 #'s 7,11,24,25,27,29,30,37,38,40 |
Sept |
Antiderivatives, Integration, & Fundamental Theorem of Calculus Part 1 |
Pgs: 283 #'s 5,9,11,13,15,23,25,27,29,33,35 |
Sept |
Riemann Sums |
Worksheet |
Sept |
Antiderivatives, Integration, & Fundamental Theorem of Calculus Part 2 |
Pgs: 284-86 #'s 47-50,57 a, b, 59,66,67-77 odd,87,92 AND Pgs: 248-51 #'s 19,21,23,29,35,37,55-60,73 |
Sept |
Integration by Substitution |
Pgs: 296 #'s 1-6 all,7-43 odd |
Oct |
Integration by Substitution |
t.b.d. |
Oct |
Integration by Substitution |
Pgs: 296-97 #'s 34,40,42,47,52,55-59 odd,67,71,78 |
Oct |
Exam Review |
Review Packet |
Oct |
Exam |
Oct. |
Trapeziodal Rule |
Pgs: 304-05 #'s 3,5,9,77,15,39a,40a |
Oct. |
The Natural Logarithmic Function and Differentiation |
Pgs: 318-19 #'s 3-6,7-13 odd,17,26,39,33,41-53 odd,59,64,69,73,75,92 |
Oct. |
The Natural Logarithmic Function and Integration |
Pgs: 327-28 #'s 1-39 odd,32,47-50,54,57,61,62 |
Oct. |
Inverse Functions |
Pgs: 335-37 #'s 3,5,7,13,17,21,33,40,51,52,59,73,75,84 AND pg: 344 #'s 1-13 odd |
Oct |
Exponential Functions: Differentiation & Integration |
pgs 344-347 #'s 14,15,19-22,25,26,27,29,35,37,39,49,58,63,57,73c,77,79,85,89,95,97,99,100,104a |
Oct |
Bases Other than e and Applications |
Pgs: 354-57 #'s 1-19 odd,28,29-45 odd,63,65,66,69-75 odd, 78 |
Nov |
Differential Equations: Growth & Decay |
Pgs: 363-65 #'s 1,3,5,6,8-10,15,17,27,29,32,33,44,49,52,53 |
Nov |
Differential Equations: Separation of Variables |
Pgs: 374-75 #'s 25,31-37 odd,39,40,43-48,59,79-81 |
Nov |
Inverse Trigonometric Functions & Differentiation |
Pgs: 383-84 #'s 3-29 odd, 35-55 odd,64 a,b,65 |
Nov |
Inverse Trigonometric Functions & Integration |
Pgs: 390-91 #'s 1-23 odd,24,33-36,39,42,45a,c,48,49c |
Nov |
Exam Review |
Review Packet |
Nov |
Exam |
Nov |
Area of Region Between Two Curves |
Pgs: 413-15 #'s 1-6,7,13,15,16,27,33,37,39,40,41,53,65 |
Nov |
Volume: The Disc Method |
Pgs: 423-25 #'s 1,3,6,7,9,10,11 a-d,13,14,18,19,27,42,43,46,49a |
Nov |
Volume: The Shell Method |
Pgs: 432-33 #'s 1,3,11,13,17,21,35 |
Dec |
Arc Length & Surfaces of Revolution |
Pgs: 442-44 #'s 1,3,5,10,12,15-17,21a,b,d,44a Pg 432 # 12,20 |
Dec |
Exam Review |
Pgs: 471 #'s 6,9,13,18,21,25,26,29,30,32,33,40 |
Dec |
Exam |
Dec |
Basic Integration Rules |
Pgs: 479-80 #'s 1-4,5-13 odd, 9,21,25,33,37 |
Dec. |
Integration by Parts |
Pgs: 487 #'s 3-7,9,10,15,25,27,37,39,41 |
Dec |
Trigonometric Integrals |
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Dec. |
Integration by Partial Fractions |
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Dec |
Logistics Growth |
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Dec |
Indeterminate Forms and L’Hopital’s Rule |
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Dec |
Improper Integrals |
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Dec |
Jan |
Convergence of Sequences |
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Jan |
Series and Convergence, including Geometric and Telescoping Series, as well as the nth-Term Test for Divergence |
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Jan. |
Use of the Integral Test and p-Series Test |
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Jan. |
Comparison of Series |
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Jan. |
Alternating Series and the Alternating Series Remainder |
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Jan |
The Ratio and Roots Tests |
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Feb |
Taylor Series and Approximations, including Taylor’s Theorem and the Lagrange Form of the Remainder |
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Feb |
Power Series, including the Radius and Interval of Convergence |
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Feb |
Definition of Taylor and Maclaurin Series |
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Feb |
Maclaurin Series for sinx, cosx, ex, 1/1-x, and the Binomial Expansion |
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Feb |
Manipulation of Series and the Creation of New Series from Known Series, through substitution, addition and subtraction, multiplication and division, differentiation and integration |
Feb |
Use of calculator to sketch parametric curves |
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Feb |
Parametric Equations and Calculus, including first and second derivatives, tangent lines, and the length of the arc of parametric curves |
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Mar |
Use of the calculator to sketch polar curves |
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Mar |
Polar Coordinates and Polar Graphs, including conversion of polar equations to parametric and rectangular forms, finding “collision” points between curves, finding vertical, horizontal and other tangent lines to the curve, finding the length of the arc of a curve, and finding area within an enclosed polar curve or bounded by two curves |
Mar |
Vectors in the Plane, including vector length and direction, the unit vector, and resultant forces |
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Mar |
Differentiation and Integration of Vector-Valued Functions, including velocity and acceleration vectors, and speed |
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Mar |
Apr |
Slope Fields |
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Apr |
Euler’s Method |
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