AP Calculus BC Unit 1 Assignments

L’Hospital’s Rule -- Improper Integrals –

Direction Fields and Euler’s Method

Day / Topic: Essential Question / Assignment
Thursday
Jan 5th / Review of Differentiation and Integration (winter packet) EQ: What are some important concepts in BC? / BC Calculus Review
Fri
Jan 6th / Review of Differentiation EQ:What are some of the thought processes that will need to be used in BC? / Finish Derivative review packet
Sec. 4.4
Wednesday
Jan 11th / 4.4 L’Hopital’s Rule and Indeterminate Form
EQ: How can L’Hopital’s Rule help find limits of functions in indeterminate form?
M.Calc.1.17 Applying Calculus Concepts:
The learner will be able to apply L’Hospital’s Rule / p. 307-8 #1-5, 29, 30, 34,
41-51 odd, 46, 56, 59, 63, 64
L’Hospital’s Rule WS
Sec. 7.8
Thursday
Jan 12th / Homework Quiz
7.8 Improper Integrals
EQ: How do you find the definite integral of functions with unbounded regions?
M. Calc.1.12 Integration: Substitution
M.Calc. 1.13 Limits: Infinity / p. 527 #1, 5-7, 9-35 odd, 39, 41, 42
Sec.7.8
Fri Jan13th / Homework Quiz
7.8 Improper Integrals (cont.) Comp. Test
EQ: How do you find the convergence/divergence of some integrals by comparing to other integrals? / Worksheet Comparison Test
Sec 7.8 Tues
Jan 17th / Homework Quiz
7.8 Improper Integrals & Comp test Review
Station Activity in small groups / AB Best Book I, I, B
Sec.9.2& 9.3
Wed & Thurs
Jan18Jan19 / Wed: Best Book Homework Quiz
9.2 & 9.3 Directions Fields, Euler’s method, and Differential Equations
EQ: How can you find an antiderivative graphically, algebraically and numerically?
M.Calc.1.10 Integration:Define/Use/Properties
The learner will be able to define the antiderivative and apply its properties to problems / p. 592 #3-6, 11, 13, 22, 23, 25b
p. 600#1-4, 7, 9, 10-14, 19, 23
BC Calc 2017 Differential Equations
AP Calculus BC Differential Equations
Euler Approximation
Growth and Decay
Fri
Jan 20th / Homework Quiz
Continued/Review / Review
Practice Test 2010
Mon
Jan 23rd / Test / Best Book assignment
Exam II, Section I Part A #1-15

Even Answers: p. 307 #2 a) 0∙∞ b) ∞ c) ∞ 4 a) b) 0 c) d) e) ∞ f) 30) 0 34) ¼ 46) 1 56) 1 64) e^(2/π) p. 527 # 6) divergent 42) 1 p. 592 #4) I 6) II 22) y(1)1.1949 p. 600 2) y=ln(1/2 x^2 +C) 4) 10)

12)