Instructor: Peter Nielsen
Course on canvas.dartmouth.edu.⇗
Syllabus
Lectures | Sections in Text | Brief Description | Daily homework problems | ||||
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9/16 M | Stewart 12.1 | Introduction to 3-d coordinate system and distance |
Stewart 12.1: 18, 24, 37, 31, 42 |
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9/18 W | Stewart 12.2 | Vectors |
Stewart 12:2 22, 25,35, 41, 43 |
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9/20 F | Linear Algebra 1.1-1.2 |
Linear equations and row reduction |
Linear Algebra 1.2: 1,2,3,4a,5 |
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9/23 M | Linear Algebra 2.1 | Linear combinations and spanning sets |
Linear Algebra 2.1: 3,4,5 |
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9/25 W | Linear Algebra 2.2 | Using a basis to provide a map of a subspace |
Linear Algebra 2.2 1(c),(d),(e), 3, 4 |
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9/27 F | Linear Algebra 2.3 | Vector equations of lines and planes |
Linear Algebra 2.3 1a,c,e,2a,c,e,5,6,7,8ab |
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9/30 M | Stewart 12.3 | Dot products and orthogonality |
Stewart 12.3
24,26,29,42,44 |
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10/2 W | Stewart 12.3-12.4 |
Projections, cross products |
Stewart 12.4 10,12,28,30 |
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10/4 F | Stewart 12.5 | Equations of lines and planes |
Stewart 12.5 13, 35, 40, 61, 67 |
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10/7 M | Review |
None! Study for the exam |
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10/8 T | Exam 1: 5:00-6:30 | ||||||
10/9 W | Stewart 13.1-13.2 |
Vector valued functions, space curves |
Stewart 13.1: 5,21-26,32 Stewart 13.2: 5,6,23 |
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10/11 F | Stewart 13.2-13.3 |
Derivatives and integrals of vector valued functions, arclength |
Stewart 13.2 25,35 Stewart 13.3 1,6 |
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10/14 M | Stewart 14.1-14.2 | Functions of several variables and level sets, limits of functions in several variables |
Stewart 14.1 9,11,45,47,71,72 |
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10/16 W | Stewart 14.2 | Limit of functions of several variables |
Stewart 14.2 6,10,15,18,37 |
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10/18 F | Linear Algebra 3.1-3.2 | Matrix Operations |
Linear Algebra 3.2 6,11,12,15,17,25 |
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10/21 M | Stewart 14.3, Linear Algebra 4.1 | Partial derivatives and directional derivatives |
Stewart 14.3 9,23,33,51,65,75 |
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10/23 W | Linear Algebra 4.1 | Directional Derivatives |
Linear Algebra 4.1 4.1.1(a)(b), 4.1.2(a), 4.1.3(a)(b) 4.1.5 |
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10/25 F | Linear Algebra 4.2 | Differentiable functions and tangent planes |
Stewart 14.4 1,3,5,11,15,17,19 |
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10/28 M | Linear Algebra 5.1-5.2 | The language of functions, linear transformations |
Linear Algebra 5.1 5.1.4 Linear Algebra 5.2 5.2.1 |
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10/29 Tu | Exam 2: 5:00-6:30 |
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10/30 W | No class | No class |
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11/1 F | Linear Algebra 5.2 | Visualizing linear transformation |
Linear Algebra 5.2 5.2.7, 5.2.8, 5.2.9, 5.2.13(a)(b), 5.2.14(b)(c)(d) |
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11/4 M | Linear Algebra 5.3-5.4 | Linear properties, rotations/reflections |
Linear Algebra 5.3 5.3.3, 5.3.4 Linear Algebra 5.4 5.4.2 |
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11/6 W | Linear Algebra 5.6 | Composition of linear transformations |
Linear Algebra 5.6 5.6.1, 5.6.3, 5.6.5 |
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11/8 F | Linear Algebra 6.1-6.2 | Derivatives of real-valued functions |
Linear Algebra 6.1 6.1.1, 6.1.3 |
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11/11 M | Linear Algebra 6.2 | Derivatives of higher dimensions |
Linear Algebra 6.2 6.2.1, 6.2.4 |
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11/12 T X hour | Stewart 14.6 | Maximizing directional derivatives |
Stewart 14.6: 7-10, 33, 43, 54 |
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11/13 W | Stewart 14.5, Linear Algebra 6.4 |
The chain rule |
Linear Algebra 6.4 6.4.1, 6.4.5, 6.4.6 Stewart 14.5 7, 22 |
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11/15 F | Stewart 14.7 | Min/Max for functions with several variables |
Stewart 14.7 15, 17, 19, 43, 49 |
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11/18 M | Stewart 14.7 | Min/Max for functions with several variables | |||||
TBD | Final Exam (take-home) | ||||||