Accelerated Calculus II |
Math 1451H |
Spring 2015 |
L 212S, TuTh 2:30-4pm |
Instructor |
Bernhard Bodmann, Send Email |
Office |
Mo, We 1:30-2:30pm, 604 PGH, (ph) 713 743 3581 |
Textbook |
Calculus, Early Transcendentals (6th edition), by James
Stewart (2008)
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This is the second course of a two-semester sequence covering all major Calculus content. The main goals of this course are to
Your total score is composed of exam and quiz scores
2 x 200 pt. exams | 400 points |
10 x 30 pt. quizzes | 270 (drop lowest score) |
Final exam | 330 |
TOTAL |
1000 points |
Final grades will be based on the total of 1000 points. You are guaranteed a grade based on the standard scale, that is: A >=9O% > B >=8O% > C >= 7O% > D >= 6O% > F. However, I will adjust the scale downward in case the distribution of scores indicates that I should.
VECTORS AND THE GEOMETRY OF SPACE
12.1 Coordinate systems
12.2 Vectors
12.3 The dot product
12.4 The cross product
12.5 Equations of lines and planes
VECTOR FUNCTIONS
13.1 Vector functions and space curves
13.2 Derivatives and integrals of vector functions
13.3 Arc length and curvature
PARTIAL DERIVATIVES
14.1 Vector functions and space curves
14.2 Limits and continuity
14.3 Partial derivatives
14.4 Tangent planes and linear approximation
14.5 The chain rule
14.6 Directional derivatives
14.7 Maximum and minimum values
14.8 Lagrange multipliers
MULTIPLE INTEGRALS
15.1 Double integrals over rectangles
15.2 Iterated integrals
15.3 Double integrals over general regions
15.4 Double integrals in polar coordinates
VECTOR CALCULUS
16.1 Vector fields
16.2 Line integrals
16.3 The fundamental theorem for line integrals
16.4 Green's theorem
16.5 Curl and divergence
16.6 Parametric surfaces
16.7 Surface integrals
16.8 Stokes's theorem
16.9 Divergence integrals
Week | Sections to be read, Exam dates | Suggested homework problems | |||||||||
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12.1-12.2 | 12.1
1-13 odd, 25, 29, 35 12.2 1-13 odd, 19, 23, 33 |
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Jan 26-30 | 12.3-12.5 | 12.3 3-17 odd, 23, 25, 29, 43, 47, 49, 51
12.4 1, 3, 9, 23, 25, 29, 33, 35, 41, 45 12.5 1-19 odd, 23, 27, 31, 39, 47, 53, 67, 69 |
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Feb 2-6 | 13.1-13.3 | 13.1
1-15 odd, 19-23 odd, 27, 35, 39
13.2 5, 9, 11, 17, 19, 23, 29, 31, 35 13.3 1, 3, 11, 17, 19, 43, 45, 49, 59 |
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Feb 9-13 | 14.1, 14.2, 14.3 | 14.1 1, 13, 25, 27, 31, 39, 47, 55-59 odd 14.2 7-17 odd, 23, 27, 29, 31, 37, 39 14.3 5-9 odd, 15, 17, 25, 33, 37, 43, 45, 49, 57, 61 |
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Feb 16-20 | 14.4, 14.5 |
14.4 1, 3, 13, 15, 25, 27, 33, 35 14.5 1, 3, 7, 13, 15, 19, 23, 25, 27, 31, 35, 39 |
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Feb 23-27 |
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Review
Ch. 12 Review Ch. 13 14.6 1, 5, 7, 19, 27, 33, 37, 39, 43, 47 |
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Mar 2-6 | 14.7, 14.8 |
14.7 1, 3, 9, 19, 21, 27, 29, 31, 37, 39, 41 14.8 1-11 odd, 19, 21, 41 |
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Mar 9-13 | 15.1, 15.2, 15.3 | 15.1
11, 13 15.2 5, 13, 15, 19, 23, 25 15.3 3, 9, 15, 25, 31, 33, 39-43 odd, 47, 49, 51, 53, 55, 61 |
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Mar 23-27 | 15.4, 15.5, 15.6 | 15.4
1, 3, 5, 9, 15, 17, 19, 25, 29, 31, 35
15.5 3, 7, 27 15.6 3, 11, 15, 21, 27-31 odd, 33 |
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Mar 30-Apr 3 | 15.7, 15.8, 15.9 |
15.7
1, 3, 5, 9, 15, 17, 21, 27 15.8 1, 3, 5, 9, 13, 15, 17, 19, 21, 23, 39 |
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Apr 6-10 | Review, Apr 6
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Review
Ch. 14, 15
16.1 3, 11, 13, 15, 17, 23, 25 |
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Apr 13-17 | 16.2, 16.3, 16.4 | 16.2
5, 11, 15, 17, 29(a), 41, 43 16.3 1, 3, 9, 11, 13, 21, 23, 27, 31 16.4 1, 5, 7, 13, 17, 23, 29 |
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16.5, 16.6, 16.7 | 16.5
1, 3, 5, 7, 9, 13, 15, 17, 19, 25, 29 16.6 1, 3, 11, 13, 15, 23, 39, 41, 43 16.7 5, 7, 13, 17, 19, 21, 23, 27 |
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Apr 27-May 1 | 16.8, 16.9 | 16.8
1, 3, 5, 7, 9, 11(a,c), 13, 17 16.9 1, 5, 7, 11, 19, 23, 27 |
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Exam period | Review, May 7
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Review |