This web page describes an activity within the Department of Mathematics at Ohio University, but is not an official university web page.
| How to be successful | How to be unsuccessful |
|---|---|
| Have a growth mindset: believe that through effort you can improve your mathematical skills. | Have a fixed mindset: believe that your mathematical skills are set, so effort is either unneccessary or futile. |
| Show up and do the work. | Skip stuff. Start with an occasional class, then some homework, ... |
| Figure out the solutions to activities and exercises. | Find the solutions to activities and exercises by copying from classmates, looking at posted answers, searching the internet, asking AI, etc. |
| Be active in class: think, write, talk, do, ... | Be passive (or distracted) in class, waiting for learning to somehow happen. |
| Read the book. Carefully. Multiple times. | Don't read the book. Make excuses like "It is too confusing.", "I learn better from videos.", or "The instructor should tell me everything I need to know in class." |
| Do the exercises in the text. | Ignore the exercises in the text. Convince yourself that since it is not collected it must not be important. |
| Strive for mastery. Mastery is when you can solve the problem confidently by yourself. | Settle for familiarity. Familiarity is when you recognize a problem and can follow along when someone else, a video, or the book solves it. |
| Sparingly use videos. When you do, pay attention and work along with the video. | Use videos a lot and as a replacement for reading. Count it as studying when you let them play in the background while you do something else. |
| Make sure all members of your group (including yourself) understand groupwork before submitting it. | Do groupwork by splitting up the problems and working on them separately. That way you only have to learn a third of it. |
| Use resources that help you learn. | Use resources that help you complete a task while avoiding learning. |
| When you are struggling, get help. | When you are struggling, hide. |
| Week | Date | Section/Topic | Preview | Text Exercises | Other |
|---|---|---|---|---|---|
| 1 | |||||
| Chapter 1 Systems of equations | |||||
| Mon Aug 24 | 1.1 What can we expect | (none) | (none) | ||
| Wed Aug 26 | 1.2 Finding solutions to linear systems | 1.2.1 | 1-6 [2,3,5,6] | ||
| Fri Aug 28 | 1.3 Computation with Sage | (none) | 1-5 | Groupwork | |
| 2 | |||||
| Mon Aug 31 | 1.4 Pivots and their influence on solution spaces | 1.4.1 | 1-9 [1,3-5] | ||
| Chapter 2 Vectors, matrices, and linear combinations | |||||
| Wed Sep 2 | 2.1 Vectors and linear combinations | 2.1.1 | 1-7 [1,2] | ||
| Fri Sep 4 | 2.2 Matrix multiplication and linear combinations | 2.2.1 | 1-7,9,10 [3,9] | Groupwork (drop deadline) | |
| 3 | |||||
| Mon Sep 7 | Labor Day holiday, no class | ||||
| Wed Sep 9 | 2.3 The span of a set of vectors | 2.3.1 | 1-10 [2,5-9] | ||
| Fri Sep 11 | 2.4 Linear independence | 2.4.1 | 1-7,10 [3-7] | Groupwork | |
| 4 | |||||
| Mon Sep 14 | 2.5 Matrix transformations | 2.5.1 | 1-10 [1,4,6,8] | ||
| Wed Sep 16 | 2.6 The geometry of matrix transformations | 2.6.1 | 1-8 [1,2,4] | ||
| Fri Sep 18 | Test 1, through section 2.5 | ||||
| 5 | |||||
| Chapter 3 Invertibility, bases, and coordinate systems | |||||
| Mon Sep 21 | 3.1 Invertibility | 3.1.1 | 1-12 [2,3,5-8] | ||
| Wed Sep 23 | 3.2 Bases and coordinate systems | 3.2.1 | 1-9 [1,2,6,7] | ||
| Fri Sep 25 | 3.3 Image compression | 3.3.1 | 1,2,4 [2] | Groupwork | |
| 6 | |||||
| Mon Sep 28 | 3.4 Determinants | 3.4.1 | 1-9,11-13 [3,5-8] | ||
| Wed Sep 30 | 3.5 Subspaces | 3.5.1 | 1-9 [1,3-6,8,9] | Groupwork | |
| Fri Oct 2 | Fall break, no class | ||||
| 7 | |||||
| Chapter 4 Eigenvalues and eigenvectors | |||||
| Mon Oct 5 | 4.1 An introduction to eigenvalues and eigenvectors | 4.1.1 | 1-10 [1,3-9] | ||
| Wed Oct 7 | 4.2 Finding eigenvalues and eigenvectors | 4.2.1 | 1-8 [1-4] | ||
| Fri Oct 9 | Test 2, through section 4.1 | ||||
| 8 | |||||
| Mon Oct 12 | 4.3 Diagonalization, similarity, and powers of a matrix | 4.3.1 | 1-10 [1-7] | ||
| Wed Oct 14 | 4.4 Dynamical systems | 4.4.1 | 1-7,10 [1,2,4,6] | ||
| Fri Oct 16 | 4.5 Markov chains and Google's PageRank algorithm | 4.5.1 | 1-9 [1,3,5-8] | Groupwork | |
| 9 | |||||
| Chapter 5 Linear algebra and computing | |||||
| Mon Oct 19 | 5.1 Gaussian elimination revisited | 5.1.1 | 1-10 [3,9] | ||
| Wed Oct 21 | 5.2 Finding eigenvectors numerically | 5.2.1 | 1-9 [1,6-8] | ||
| Fri Oct 23 | Catch up | Groupwork | |||
| 10 | |||||
| Chapter 6 Orthogonality and Least Squares | |||||
| Mon Oct 26 | 6.1 The dot product | 6.1.1 | 1-11 [1-5,7,9] | ||
| Wed Oct 28 | 6.2 Orthogonal complements and the matrix transpose | 6.2.1 | 1-10 [4-7] | ||
| Fri Oct 30 | Test 3, through section 6.1 | (drop deadline with WP/WF) | |||
| 11 | |||||
| Mon Nov 2 | 6.3 Orthogonal bases and projections | 6.3.1 | 1-10 [7-9] | ||
| Wed Nov 4 | 6.4 Finding orthogonal bases | 6.4.1 | 1-8 [6-8] | ||
| Fri Nov 6 | 6.5 Orthogonal least squares | 6.5.1 | 1-7,12 [5,6] | Groupwork | |
| 12 | |||||
| Mon Nov 9 | Catch up | ||||
| Wed Nov 11 | Veterans Day holiday, no class | ||||
| Chapter 7 Singular value decompositions | |||||
| Fri Nov 13 | 7.1 Symmetric matrices and variance | 7.1.1 | 1-10 [4,7,8] | Groupwork | |
| 13 | |||||
| Mon Nov 16 | 7.2 Quadratic forms | 7.2.1 | 1-8 [7,8] | ||
| Wed Nov 18 | 7.3 Principal Component Analysis | 7.3.1 | 1-5 [1,4] | ||
| Fri Nov 20 | Test 4, through section 7.2 | ||||
| 14 | |||||
| Mon Nov 23 | 7.4 Singular Value Decompositions | 7.4.1 | 1-11 [4,7-11] | ||
| Wed Nov 25 | Thanksgiving Day holiday, no class | ||||
| Fri Nov 27 | Thanksgiving Day holiday, no class | ||||
| 15 | |||||
| Mon Nov 30 | 7.5 Using Singular Value Decompositions | 7.5.1 | 1-8 [7] | ||
| Wed Dec 2 | Catch up | Groupwork | |||
| Fri Dec 4 | Recap/ Review/ Exam preparation | ||||
| 16 | |||||
| Wed Dec 9 | Section 101 (class number 7479) MWF 8:35am: Final Exam 8:00-10:00am in our regular classroom. | ||||
| Fri Dec 11 | Section 102 (class number 7480) MWF 12:55pm: Final Exam 3:10-5:10pm in our regular classroom. | ||||