AP CALCULUS BC Assignments
- Instructor
- Mr. Piero Gualcherani
- Terms
- 2015-2016-Semester I
- 2015-2016-Semester II
- Department
- Mathematics
- Description
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Files
Upcoming Assignments
No upcoming assignments.
Past Assignments
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FINAL EXAM
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Correct and score F/R from Study Session #6 (2014)
Question #1 in your test is actually question #2 in 2014
Questions 2-6 from 2012
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Test (Parametric Polar and Vector functions)
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Complete today's worksheet on Polar Functions.
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Parametric/Polar/Vector functions quiz
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Polar functions: #46-60
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Polar functions: #39-45
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Polar Function section: #2-37 (prime numbers only)
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Vectors/parametric worksheet: 1973-1989
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Vectors 27-49 odd
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Vectors: #1-24
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Test on Series
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I love Parametric Vector Polar Functions, Parametric Function section, # 5-55 (M5)
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Write parametric functions (x(t),y(t)), (domain= (-1,1)) so that the graph in the x,y plane shows your initials.
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"I love Series" packet due
TAYLOR SERIES GROUP QUIZ (ch8.5-8.8)
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P. 633 # 31-49 odd
+ Group homework (one paper per group, so you can split the work): show that every condition on every convergence test is necessary by doing the following for EACH test:
a. Remove one condition from all conditions needed for a test
b. Fine a series that satisfies all the remaining conditions but not the one removed, and show that the test does not work for that series.
c. repeat until you worked with all conditions (so every time you replace the condition you removed and remove another)
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p. 620 # 1-6,13,14
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Series worksheet # 3-6
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p. 615 # 1,3,14,18,20,22,24,25,28,47,56
+ complete "Binomial Series" handout
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p. 604 # 1-23 odd
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1. Derive the Maclaurin Expansion for the following functions:
f(x)=cosx
f(x)=e^x
f(x)=1/(1-x)
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Chapter 8.1-8.4 test
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I Love Series: page1 (prime numbers) - page 4 #2-17 (primes)
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p. 593 # 12-18
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p. 592 # 1-11
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p. 585, 586 multiples of 3
Quiz (8.1-8.3)
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p. 585 # 1,6,7,8
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p. 574 - 576 multiples of 5
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Chapter 7 test (7.1-7.5)
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Study pages 544-548 (section 7.6)
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Complete handout (exercises A,B and C)
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p. 565-566 # 4-24 multiples of 4 + 29-51 odd
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Study section 8.1, then solve exercises p. 565 # 1-27 odd
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Quiz (Differential Equations)
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p. 552 # 11-19 odd
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Complete worksheet (Modeling with differential equations)
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p. 520 # 35-38
Complete exercise #6 on handout MM
Complete today's handout (mixing problems)
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Study example p. 518
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p. 533 # 13-16 + MM worksheet all exercises in models #3 and #4
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p. 503 # 6-9,11,13 + Mathematical Models worksheets #1, ONE and TWO
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Choose and solve 50 exercises from review ch.2 to ch.7 (up to 7.4)
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PERIOD 1 FINAL EXAMS
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Chapter 6 test
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p. 519 # 1-8,14-18
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Quiz (Solving differential equations)
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p. 494 # 6,12,18,21,27,19,20
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Project "Will you read me a Fairy Tale?" due
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p. 493 # 1-6 (concept check) + p. 494 # 17,18
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p. 479 # 5,6,7,15,16
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p. 480 # 10-14,17,18
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Chapter 4 group quiz (volumes)
Hw: solve exercises p. 469 # 1,2,3,4,5,6,11,12,18,19,20
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Section 6.2 all exercises due
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Chapter 4 group quiz (volumes) (moved to Monday)
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p. 465 # 3,4
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p. 457 - 460 multiples of 10
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p. 446 - 447 solve exercises with number a multiple of 5
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Chapter 5 test
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Choose and solve 15 exercises from ch 5 review.
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"I Love Antiderivatives" packet due
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Choose and solve 15 exercises from Chapter 5 Review
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p. 431 # 2,5,8,...,59
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p. 431 # 3-60 (Mult.of 3). Skip 24,27,30,33 and 45
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Complete "A nice application of the theory of integration" handout
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p. 383 # 1-3, 7-10, 22,23(a,b), 24(b,c), 26
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p. 421 - 423 Multiples of 6
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Complete handout "Simpson's rule". (Due at the end of the period)
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Complete "Numerical Integration" packet + homework
Solve p. 421 # 37,39
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Complete front page of the "Numerical Integration" handout
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p. 365 # 41-51 odd + study (review) pages 355 - 361
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p. 364 # 1-5, 17,27,32
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Antiderivatives quiz
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Solve the following exercise: Consider a regular polygon with n sides. Suppose that its perimeter is fixed and equal to P. Use optimization techniques to show that there is no values of n that maximizes the area inside the polygon. Conclude that the circle is the (regular) shape of fixed perimeter that has maximum area. (=show that the area increases as n increases)
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Chapter 4 test + Euler's method and slope fields
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Work on "I Love Antiderivatives" packet
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p. 392 # 7-33 odd
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True/False quiz (concepts and theorems, chapters 2-4)
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p. 512 # 19-24
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p. 511 # 1-13 odd+#4,6,8,18
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Study p. 504 - 508 (up to Euler's Method, excluded)
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p. 312 # 23,37,40,43,44
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Group quiz (optimization)
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p. 326 # 5,6,13,14,15,21-25,27,30
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Complete handout on optimization problems
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p. 288 # 53-56, 58 + p. 311 # 8-48 (M12) + complete the (idea) of the proof of corollary 2 to MVT.
New Seating Chart.
All homework from september 2nd to today will be collected.
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p. 286 # 1-5,19,21,24,27,46,48,49,57
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p. 274 # 1,2,7-10,24-48(M4),60
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Test (Chapters 2 and 3)
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p. 267 # 6-36 (M6)
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p. 254 # 1-4
p. 181 # 9 (use IVT), 15, 16 and 17 + p.259 # 2,4,8
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p. 252 # 2 -14
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Solve exercises with number a multiple of 5 from the "I Love Derivatives" packet.
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p. 210 # 1,3,5,6
p. 228 # 1-6
p. 191 # 37,38
p. 180 # 7,8
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p. 165 # 1-3 + p. 168 # 45-50 + p.172 # 1-4+8,9,10,25,26
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Review mistakes in your quiz.
Show (using the definition) that f(x)= |x| is continuous but not differentiable at x=0.
Understand the proof that differentiability implies continuity (p.161 of textbook)
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Complete handout (Improving Euler's Method)
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Exercises 41-49 p. 127
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KICK-OFF DAY. Be in your homeroom (=period 4) by 7.41am
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Quiz
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I love limits, (M40)+20 ={20,60,100,...}
p. 127 # 34 - 40
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- I Love Limits, work on multiples of 40
- p. 126 # 3,7,12,23,24,31,32,33
- Produce an example of a function defined for all real values of x and discontinuous everywhere
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p. 115 # 25-45 odd + #46
"I Love Limits", #1-4 prove limit using the definition
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Handout: Two Important Functions (provide an idea of the proof)
I Love Limits # 45-151 Multiples of 7. Use limit laws, not epsilon-delta!
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Study (= understand the idea behind it) the proof for the limit of quotient law.
Exercises p. 106 # 1-11 odd + p.115 #1 + 3-21 multiples of 3
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Exercises 2a and 2b on "Limit" handout
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Handout, exercises 1a,1b,1c and try exercise #3
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Review the definition of limit (use Appendix D in textbook, p.A29)
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Cover textbook
Sign syllabus (parent/guardian and you)
Complete "Let's have some FUNctions" paper