### Honors Engineering Analysis 1, Fall 2017: Tentative Course Schedule and Reading Assignments

The Chapman section numbers are from the 2018 third edition of Essentials of MATLAB Programming.

The Lay section numbers are from the 2016 fifth edition of Linear Algebra and its Applications.

Class type Date Day Topics Reading assignments
Week 1 Lecture 9/19 Tue Overview of EA1; problem formulation in the PageRank case study; vectors and matrices; vector addition and scalar multiplication; matrix-vector multiplication; PageRank equations in standard form PageRank Case Study §1-2
Lay §1.3 through Example 4, §1.4 through Example 2
Discussion 9/20 Wed Introduction to Matlab; vectors and matrices in Matlab; assignment statements; indexing and subarrays Chapman §1.1-1.5, 2.1-2.7
Lecture 9/21 Thur Arithmetic expressions; build-in functions; solving PageRank using Matlab Chapman §2.8-2.10, 6.6-6.7
Recitation 9/22 Fri MATLAB examples
Week 2 Discussion 9/25 Mon More MATLAB examples, character data types/ASCII representations Chapman §2.11-2.14, 3.1-3.6
Lecture 9/26 Tue Logical expressions Chapman §4.1-4.3
Discussion 9/27 Wed More logical functions, comparing strings
Lecture 9/28 Thur Branches Chapman §4.4-4.6
Recitation 9/29 Fri
Week 3 Discussion 10/2 Mon Logical masks, examples
Lecture 10/3 Tue Loops; iterative solutions to PageRank Chapman §5.1-5.2
PageRank Case Study §3
Discussion 10/4 Wed More iterative methods: Jacobi and Gauss-Seidel Supplementary notes
Lecture 10/5 Thur User-defined functions in Matlab Chapman §6.1-6.2
Recitation 10/6 Fri
Week 4 Discussion 10/9 Mon Function handles, anonymous functions, cell arrays
Lecture 10/10 Tue Optional arguments; error checking Chapman §6.3
Discussion 10/11 Wed Varargin and varagout, Monte-carlo methods.
Lecture 10/12 Thur Augmented matrix; row reduction; echelon form
MIDTERM 1 at 7 p.m.
Lay §1.1-1.2
Recitation 10/13 Fri
Week 5 Discussion 10/16 Mon Floating point numbers, round-off error, partial pivoting
Lecture 10/17 Tue Linear combinations; span Lay §1.3-1.4
Discussion 10/18 Wed Examples of row reduction and echelon form Lay §1.1-1.2
Lecture 10/19 Thur Solution sets; parametric vector form Lay §1.5
Recitation 10/20 Fri
Week 6 Discussion 10/23 Mon Network flows Network Flows Case Study
Lecture 10/24 Tue Linear independence; linear transformations Lay §1.7-1.8
Discussion 10/25 Wed Network flows (continued) Network Flows Case Study
Lecture 10/26 Thur The matrix of a linear transformation; matrix operations Lay §1.9, 2.1
Recitation 10/27 Fri
Week 7 Discussion 10/30 Mon Matrix inverse Lay §2.2-2.3
Lecture 10/31 Tue Subspaces, null space, column space Lay §2.8 (optional: §4.1-4.2)
Discussion 11/1 Wed Encryption Encryption Case Study
Lecture 11/2 Thur Bases and coordinates Lay §2.8 (optional: §4.3-4.4)
Recitation 11/3 Fri
Week 8 Discussion 11/6 Mon Encryption (continued) Encryption Case Study
Lecture 11/7 Tue Dimension and rank Lay §2.9 (optional: §4.5-4.6)
Discussion 11/8 Wed Abstract vector spaces
Lecture 11/9 Thur Inner product, length, orthogonality
MIDTERM 2 at 7 p.m.
Lay §6.1
Recitation 11/10 Fri
Week 9 Discussion 11/13 Mon Orthogonal sets and bases Lay §6.2
Lecture 11/14 Tue Orthogonal projections Lay §6.3
Discussion 11/15 Wed Gram-Schmidt orthogonalization Lay §6.4
Lecture 11/16 Thur Least squares Lay §6.5
Recitation 11/17 Fri
Week 10 Discussion 11/20 Mon Applications of least squares Lay §6.6
Least Squares Case Study
Lecture 11/21 Tue Applications of least squares Lay §6.6
Least Squares Case Study
11/22 Wed No lecture, discussion, or lab
11/23 Thur Thanksgiving break
11/24 Fri Thanksgiving break
Week 11 Discussion 11/27 Mon Inner product spaces
Lecture 11/28 Tue Spectral analysis Digital Audio Case Study §1.1-1.3
Discussion 11/29 Wed Inner product spaces, weighted least squares
Lecture 11/30 Thur Spectral analysis (continued) Digital Audio Case Study §1.4
Recitation 12/1 Fri

The final exam is on Tuesday, December 5 from 9-11 a.m.