BC Calculus

"Round numbers are always false."
Samuel Johnson



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Women Mathematicians

Course Content
Class Policies & Requirements

Homework


Unit 1: Summer Packet Review & Exam  (dates are the day hw is assigned; it is due the following class!!)

Sept. 9
Review Summer Packet
t.b.d
Sept. 13
Review Summer Packet
t.b.d.
Sept. 15
Exam (Summer Packet)
Read pgs 179-183
Problems pgs 184-185 1-13 odd, 21,23,41,43

Unit 2: Integration

Sept 19
Optimization Problems
Finish Worksheet
Sept 21
Review
Worksheet
Sept 23
Antiderivatives, Integration, & Fundamental Theorem of Calculus Part 1
Pgs: 283  #'s 5-29 odd ,33,35
Sept 27
Riemann Sums
Worksheet
Sept 29
Antiderivatives, Integration, & Fundamental Theorem of Calculus Part 2
Pgs: 248-51 #'s 19,21,23,29,35,37,55-60,73
Pgs: 284-86  #'s 47-50,57 a, b, 59,66,67-83 odd,87,92  
Oct 3
Integration by Substitution
Pgs: 296  #'s 1-6 all,7-43 odd
Oct 5
Integration by Substitution
Pgs: 296  #'s 8-42 even
Oct 7
Integration by Substitution
Pgs: 296-97 #'s 47,52,55-63 odd,67,69,71,78
Oct 12
Exam Review
Review Packet &  pgs 237 #'s 55,71 Pg 249 #'s 49,50 and
Pgs: 304-05 #'s 3,5,9,15,39a,40a (formula page 300)
pgs 306-307 #'s 1,7,11,13,23,27,43,45,57
Oct 14
Exam Part One
Work on Lab
Oct 18
Exam Part Two
Finish Lab

Unit 3: Logarithmic, Exponential, and Other Transcendental Functions

Oct. 20
Exam Part One/ The Natural Logarithmic Function and Differentiation
Pgs: 318-19 #'s 3-6,7-13 odd,17,26,33,39,41-53 odd,59,64,69,73,75,92
Oct. 24
The Natural Logarithmic Function and Integration
Pgs: 327-28 #'s 1-39 odd,32,47-50,54,57,61,62,67,68,69,70
Oct. 26
Inverse Functions
Pgs: 335-37 #'s 3,5,7,9-12,13,17,21,33,40,47,49,51,52,59,73,75,84,97 AND
pg: 344 #'s 1-11 odd
Oct 28
Exponential Functions: Differentiation & Integration
pgs 344-347 #'s 14,15,19-22,25,26,27,29,35,37,39,49,57,58,63,
73c,77,79,85,89,95,97,99,100,104a
Nov. 1
Bases Other than e and Applications
Pgs: 354-57 #'s 1-19 odd,28,29-45 odd,63,65,66,69-75 odd, 76,78,80,81,92
Nov 3
Review
pgs 402-403 #'s 3,7,9,13,17,19-25 odd, 31,43,45,47,49,59,65,69,81
Nov 7
Exam 2
Finish Lab DUE NOV 14th
Nov 9
Finish Exam
Finish Lab
Nov 14
Differential Equations: Growth & Decay
Pgs: 363-65 #'s 1,3,5,6,8-10,15,17,27,29,32,33,44,49,53 Pgs: 374-75  #'s 25,31-37 odd,39,40,43-48,59,79-81,83-86
Nov 16
Inverse Trigonometric Functions & Differentiation
Pgs: 383-84 #'s 3-29 odd, 35-55 odd,64 a,b,65
Nov 18
Inverse Trigonometric Functions & Integration
Pgs: 390-91 #'s 1-23 odd,24,33-36,39,42,45a,c,48b, c,49c
Nov 22
Review
Review Packet
Nov 29
Review
pgs 403-404 #'s 39,51,54,55,59,60,71-79, 82,83,85,87,89
Dec 1
Exam
Finish Lab

Unit 4:  Applications of Integration (dates are the day hw is assigned; it is due the following class!!)

Dec 5
Sec. 6.1 Area of Region Between Two Curves
Pgs: 413-15 #'s 1-6,7,13,15,16,27,33,37,39,40,41,53,65
Dec 7
Sec. 6.2 Volume: The Disc Method
Pgs: 423-25 #'s 1,3,6,7,9,10,13,14,18,19,27,42,43,46,49a
Dec 9
Disc Method Continued...
Pgs 423-25 #'s 5,8,12,15,17,21,23,41,53,54
Dec 13
Sec. 6.3 Volume: The Shell Method
Pgs: 432-33 #'s 1,3,11,13,15,17,21,35
Dec 15
Sec 6.4 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 19
Exam Review
Pgs: 471 #'s 6,9,13,18,21,25,26,29,30,32,33
Dec 21
Exam
Dec 23
Exam Part II
Have  a great holiday break!  

Unit 5:  Integration Techniques, L'Hopital's Rule, and Improper Integrals (Chapter 7)

Jan 4
Basic Integration Rules
Pgs: 479-80 #'s 1-4,5-13 odd, 9,21,25,27,30,33,36,37
Jan 6
Integration by Parts
Pgs: 487 #'s 3-7,9,10,15,17,25,27,29,36,37,39,41
Jan 10
Integration by Partial Fractions
Pgs: 515-16  #'s 1,7,8,9,27,52
Jan 12
Limits Review
pgs 87-89 #'s 5,6,11,13,15,19,23,25,30,31,32,54,63
pgs 193-195 #'s 1,3,4,11-23 odd, 27,47,49,65
Jan 17
Indeterminate Forms and L’Hopital’s Rule
Pgs: 530  #'s 5-10,11,19,21,25,29,31-37 odd,38,39,40,41,42,67
Jan 19
Improper Integrals
Pgs: 540  #'s 1,3,5,7,9,10,13,17,21,23,24,27,35,36
Jan 23
Review
pgs 542-543 #'s 13,15,21,23,31,69-79 odd
Jan 25
Mid Term Review
pgs 542-544 #'s 1,2,10,11,12,14,16,22,27,35,53b,c,55,59,61,65,70-80,

Unit 6 (Chapter 8): Infinite Series

Feb 2
Sequences
Pgs: 555  #'s 5,7,13,17,21,23,25,29,31-45odd,44,51-73 odd, 95
Feb 6
Series and Convergence, including Geometric and Telescoping Series, as well as the nth-Term Test for Divergence
Pgs: 564-66  #'s 7-21 odd,31-45 odd,49-59 odd,61 a, b,67,69,73,75
Feb 8
Integral Test, P-Series, and Comparison Test
pgs 571-572 #'s 3,9,11,15,17,21,49,53,57
pgs 578-589 #'s 3,9, 29-36 all
Feb 10
Alternating Series and the Alternating Series Remainder
Packet
Feb 14
Alternating Series and the Alternating Series Remainder
Pgs: 587  #'s 19-27 odd, 35-51 odd
Feb 16
The Ratio and Roots Tests
Pgs: 594-95  #'s 1,2, 11-53 odd (as needed)
Feb 21
Convergence/Divergence Tests review.  
pgs 632-633 #'s 9-15 odd, 23,25,29,31,35-45 odd
Feb 23
Exam
HAVE A GREAT BREAK!!  GO VINEYARDERS!
Mar 5
Power Series, including the Radius and Interval of Convergence
Pgs: 613 #'s 11-19 odd,21-25,31,33,39,40
Mar 7
Taylor Series and Approximations, including Taylor’s Theorem and the Lagrange Form of the Remainder
Pgs: 604  #'s 7-20,27-34, 41,42
Mar 9
Definition of Taylor and Maclaurin Series
Pgs: 604  #'s  33,34,41,42        Pgs: 620  #'s 1-21 odd (skip #9)
pg 630 #'s 1-7 odd, 17-23 odd
Mar 13
More Taylor Series
Packet
Mar 17
Review
pg 544 #'s 77-80
pgs 632 #'s 10,12,14,16,24,26,36-46 even, 49-67 odd
Mar 21
Exam

Unit 7: Parametric Equations and Polar Curves, Vectors and Euler's Method

Mar 23
Parametric Equations and Calculus, including first and second derivatives, tangent lines, and the length of the arc of parametric curves
Polar Coordinates and Polar Graphs
pgs 659-60 #'s  3-17 odd, 23,25,27
pgs 668-69 #'s 1,3,5,13,16,21,23,31-33
pgs 678 #'s 1,3,11,13,21-35 odd,43,44,49,63-69 odd
Mar 27
BC Exam Prep
Practice Test
Mar 29
polars continued; finding area within an enclosed polar curve or bounded by two curves
pgs 687 #'s 1-11 odd, 13,15,17,27-31 odd
Apr 2
Vectors in the Plane, including vector length and direction, the unit vector, and resultant forces. Differentiation and Integration of Vector-Valued Functions, including velocity and acceleration vectors, and speed
pgs 708-9 #'s 5,7,13,29,31,35,37 b,e,53
pg 791 #'s 1-7 odd
Apr 4
Slope Fields    & Euler’s Method
packet
Apr 6
Logistics Curves
packet
Apr 10
Review
Apr 12
BC Exam Prep
Apr 23
BC Exam Prep
Apr 25
BC Exam Prep
Apr 27
BC Exam Prep
May 1
BC Exam Prep
May 3
BC Exam Prep
May 7
BC Exam Prep
May 9
BC EXAM!!!