BC Calculus

3rd Quarter Syllabus

DATE / TOPICS / ASSIGNMENT
Jan 26 / Tues / Integration – substitution, inverse trig, logs, exponential functions / Worksheet
Other Integration Techniques / Worksheet (monster)
Integration by parts
Int. by parts (equation problems) / Pg 494 #s 11-43 (every other odd)
Partial fractions / Pg 522 #s 7-17 (odd)
Trig Integrals / Worksheet
Review
TEST
§  Idea and notation for sequences; arithmetic, harmonic, alternating harmonic, and geometric sequences
§  Definitions of convergence and divergence of sequence
§  Definitions of bounded & monotonic / Worksheet
Relative Rates of growth / Worksheet
Geometric & telescoping series,
nth term divergence test / Pg 573 – 574 #s 1, 7 – 26, 34, 38
L’Hopital’s Rule / Pg537 #s 5 – 53 every other odd
Improper Integrals / Pg547 #s 9 – 41 every other odd (omit 37)
Integral & p-series tests / Pg 573 #s 33 – 41 (odd)
Pg 580 – 1#s 1 – 7 (odd),13 – 16, 21 – 24
Mixed Review
Comparison of Series
Alternating series / Pg 587 #s 2, 3 – 27 (x3), 29 – 36
Pg 595 – 6#s 9 – 36(x3) 41 – 49 (odd)
Ratio, Root Test / Pg 603 #s 15 – 57 (mult 3)
Review / Review Sheet
TEST / Mixed review
§  Taylor & Maclaurin Approximations
§  LaGrange form of the Remainder / Pg 613 – 614 #s 1 – 4, 15, 17, 21, 25, 28, 29, 37
Power Series: Definition, Radius and interval of convergence / Pg 623 #s 1 – 21 (odd) 39 – 42,
Pg 630 – 631 #s 1 – 7(odd), 51, 53
Power Series: Term-by-term Differentiation & Integration / Worksheet
AP Practice / Worksheet
Review
TEST
Parametric Equations
(Ships in the Fog) / Worksheet
Derivatives of parametric equations &
tangent lines / Pg 681 #s 5 – 13 (odd), 17 – 20, 25 – 33 (odd)
Vectors / AP Book Worksheet (1 – 23 odd)
Vectors and particle motion / AP Book Worksheet (27 – 37 odd)
Arc Length - parametric / Worksheet
AP Day
Review
TEST
Polar Points / Pg 691 #s 1 – 6, 11 – 14, 21 – 35 (odd)
Graphing Polar Equations
Intersection of polar graphs / Graphing Worksheet
Derivatives of polar equations & tangent lines / Pg 692 #s 53 – 61 (odd)
Arc Length / Pg700 #s 1 – 13odd(omit11), 41, 43, 59
Area of Polar Graphs
Area between intersecting polar graphs / Pg700 #s 27 – 35 (odd)
Review
TEST
Logistic Differential Equations / Worksheet
Logistics / Worksheet
Cross Sections / Worksheet
Cross Sections / Worksheet
Review
TEST
REVIEW REVIEW REVIEW
AP TEST