**Instructors:** Benjamim Adenbaum, Jack Petok.

**Course on canvas.dartmouth.edu.**⇗

## Syllabus

Lectures Sections in Text Brief Description Daily homework problems 9/12 M Stewart 12.1 Introduction to 3-d coordinate system and distance Stewart 12.1: 17, 24, 25, 32, 38 9/14 W Stewart 12.2 Vectors Stewart 12.2: 21, 25, 35, 41 9/16 F Linear Algebra 1.1-1.2 Linear equations and row reduction Linear algebra 1.2, 1,2,3,4 9/19 M Linear Algebra 2.1 Linear combinations and spanning sets Linear algebra 2.1 3,4,5 9/21 W Libear Algebra 2.3 Vector equations of lines and planes Linear algebra 2.3: 1,2,5,6,7,8ab 9/23 F Stewart 12.3 Dot products and orthogonality Stewart 12.3: 23, 25, 29 9/26 M Stewart 12.3-12.4 Projections, cross products Stewart 12.3: 41, 43, 49; 12.4: 9, 11, 27, 29 9/28 W Stewart 12.5 Equations of lines and planes Stewart 12.5: 14, 35, 67 9/30 F Stewart 13.1-13.2 Vector valued functions, space curves Stewart 13.1: 3, 21-26. 27, 31; 13.2: 5, 7, 23 10/3 M Review 10/4 T Exam 1: 5:00-6:30 10/5 W Stewart 13.2-13.3 Derivatives and integrals of vector valued functions, arclength 13.2: , 25, 35, 49; 13.3: 1 10/7 F Stewart 14.1-14.2 Functions of several variables and level sets, limits of functions in several variables 14.1: 3,9,11, 27, 29, 45, 46, 71, 72; 14.2: 6, 13, 15 10/10 M Linear Algebra 3.1-3.2 Matrix Operations 3.2: 3, 6, 8, 12, 13 10/12 W Stewart 14.3, Linear Algebra 4.1 Partial derivatives and directional derivatives 14.3: 13,23,33, 51, 75 4.1: 4.1.1a, 4.1.2a, 4.1.3, 10/14 F Linear Algebra 4.1 Directional Derivatives 4.1: 4.1.4a, 4.1.5, 4.1.8 10/17 M Linear Algebra 4.2 Differentiable functions and tangent planes Stewart 14.4: 1,3,5, 1-6, 11, 15, 17, 19 10/19 W Linear Algebra 5.1-5.2 The language of functions, linear transformations 5.1: 5.1.4, 5.2: 5.2.1ab, 5.2.3, 5.2.6, 5.2.7 10/24 M Linear Algebra 5.2 Visualizing linear transformation 5.2.8, 5.2.9, 5.2.14 10/26 W Linear Algebra 5.3-5.4 Linear properties, rotations/reflections 5.2.3, 5.2.3, 5.2.4, 5.2.5, 5.4.2, 5.4.3, 5.4.5 10/27 Th Exam 2: 5:00-6:30 10/28 F Linear Algebra 5.6 Composition of linear transformations 5.6.1, 5.6.3, 5.6.4, 5.6.5, 5.6.6 10/31 M Linear Algebra 6.1-6.2 Derivatives of real-valued functions 6.1.1, 6.1.3, 6.1.7, 6.1.8 11/2 W Linear Algebra 6.2 Derivatives of higher dimensions 6.2.1, 6.2.3 11/4 F Stewart 14.6 Maximizing directional derivatives 14.6: 7-10, 33, 41, 43, 54, 55, 56 11/7 M Stewart 14.5, Linear Algebra 6.4 The chain rule 14.5: 7-12, 21, 22, 53 6.4.1, 6.4.4, 6.4.5, 6.4.6 11/9 W Stewart 14.7 Min/Max for functions with several variables 14.7: 15, 17, 19, 30, 43, 44, 49 11/11 F Stewart 14.7 Min/Max for functions with several variables see above 11/14 M Stewart 14.8 Lagrange multipliers 14.8: 17-20, 21-23 11/22 T Final Exam (take-home)