MATH 214, Spring 2022

Announcements

• This page was last updated on Thursday, July 28, 2022.
• Class announcements will be sent via email or posted in myGCC.

General Links

• Syllabus (posted 2022-01-15).
• Grade Calculator.
• Cheating Policy. Some details on what is and isn't considered cheating.
• myGCC - Grades.
• Department of Mathematics homepage
• (Scroll down for homework.)

Help

• Come by my office hours, or make an appointment to see me some other time.
• The math department has arraigned for two group tutoring sessions on Monday, Tuesday, and Wednesday evenings from 7-9 p.m. in SHAL 215. Both of these session are free for students, and no appointment is needed. However, due to the nature of the material covered in this course the tutors may not be familiar enough with the material to be of help to you.

Handouts and Resources

Class Notes

Here is a blank copy of the notes. Here are the filled copies of the guided notes from class; these will be updated as we complete each chapter or when we complete the material for the next test:

• Introduction to Probability, Chapter 1: section A, section B.
• Introduction to Probability, Chapter 2: section A, section B.
• Introduction to Probability, Chapter 3: section A, section B.
• Introduction to Probability, Chapter 4: section A, section B.
• Introduction to Probability, Chapter 5: section A, section B.
• Introduction to Probability, Chapter 11: See this file (also linked under Handouts below): Markov Chains file (with answers to try it exercises).
• Foundations of Game Engine Development, Sections 1.1-1.6 and related material: section A, section B.
• Foundations of Game Engine Development, Section 1.7 and related material: section A, section B.
• Foundations of Game Engine Development Chapter 2, and Eigenvalues/vectors: section A, section B.

Textbook

• The authors' site for the Introduction to Probability book. This site contains links to a pdf version of the book, solutions to odd number problems, and Mathematica files containing the programs mentioned in the book. However, the book file on their site doesn't have bookmarks or internal hyperlinks so here is an easier to navigate pdf the book. Also, the programs were originally written for Mathematica 3 and some use deprecated commands or don't run correctly on newer versions of Mathematica. I am in the process of updating these programs to work in Mathematica 10+, so you should use these files instead:
  • "Important Programs" and other general files. (You'll need to evaluate the "Important Programs" file first since those commands are used in some of the other programs.)
  • Important Programs, v2. (I made some changes to this in order to get some of the chapter 3 programs working correctly, but this newer version may cause some of the programs from chapters 1 and 2 to not work correctly.)
  • Chapter 1 programs.
  • Chapter 2 programs.
  • Chapter 3 programs.
  • Chapter 4 programs.
  • Chapter 5 programs.
  • Chapter 6 programs.
  • Chapter 11 programs.
• For OneNote versions of the sections in the Introduction to Probability book go to the network folder \\ed\courses\Math\BancroftED\Math214\IntroProbSectionsOneNote .
• APEX Calculus III, by G.~Hartman, B.~Heinold, T.~Siemers, D.~Chalishajar will be used to supplement our discussion of topics that are traditionally found in a Calculus III course.
• Fundamentals of Matrix Algebra may be used as a supplement to the linear algebra portion of the course.

Installing DyKnow

On the network go to \\depot\Software\DyKnow, then install DyKnowCloud_gcc_x64.msi.

Other Handouts

• The files I created in class (2022):
  • Mathematica intro/Chapter 1 examples: section A, section B.
  • Feb 14, Piecewise example.
• Mathematica Introduction and Exercises and a file that mostly follows what I'll do in class from the handout.
• Calculus Textbooks that can be used as references to supplement the introductory 3D and vector material:
  • Active Calculus (multivariable)
  • APEX Calculus (multivariable)
• 2.2 Examples video.
• 3.1 Intro video.
• Introductory examples related to Intro to Prob 1.1.
• Examples related to Intro to Prob 2.1.
• Bayes' Theorem examples.
• Bernoulli trials and binomial distribution examples.
• Hat Check Problem and Card Shuffling Presentation from class.
• Examples related to all of the Intro to Prob chapter 5 distributions and densities.
• Solutions to the examples at the end of the Intro to Prob 5.1 notes.
• Solutions to the examples in the Intro to Prob 5.2 notes.
• Gram-Schmidt Orthogonalization video and Mathematica file with examples.
• Mathematica implementation of examples from Linear Algebra sections 3.2 and 3.3 in the notes.
• Elementary matrices.
• Examples from class related to Solving Systems and Matrix/Vector Equations. (FGED 1.7 and related.)
• More examples related to Solving Matrix Equations. (FGED 1.7 and related.)
• Linear (In)Dependence and rref.
• Markov Chains file (with answers to try it exercises). (sections 11.1 and 11.4 in the Introduction to Probability book.
• Mathematica solutions to the eigenvalue and eigenvector examples in the notes.
• Links related to Hamming codes:
  • The file used in class. File with solutions.
  • http://orion.math.iastate.edu/linglong/Math690F04/HammingCodes.pdf. This is probably easier to follow than the next.
  • http://www.mth.msu.edu/~jhall/classes/codenotes/Hamming.pdf.
• Matrix Transforms (relates to Math for 3D... Chapter 4).
• The files I created in class (2017):
  • File from class on March 3, 2017.
  • File from class on April 7, 2017.
• The files I created in class (2018):
  • File from class on January 26 and 29, 2018.
  • File from class on February 7 and 9, 2018.
  • File from class on February 12, 2018.
  • File from class on March 5, 2018.
• The files I created in class (2019):
  • File from class on January 25 and 28, 2019: section A, section B.
  • Cold Day Assignment for January 30, 2019: assignment file, solutions.
  • File from class on February 1, 2019: section A, section B.
  • File from class on February 8 and 11, 2019.
  • File from class on February 18 through 27, 2019.
• The files I created in class (2020):
  • File from class on January 29 and 31, 2020: (Hybrid of both sections)
• The files I created in class (2021):
  • File from the week of February 22-26, 2021.

Test Summary/Review Sheets and Test Solutions

• Test 1 summary sheet.
• Test 1 solutions, both versions. (Problems 2 and 3 may have the numbers switched depending on your version, Problem 8 is missing.)
  
  
• Test 2 summary sheet.
• Group Assignment 4 solutions.
• Test 2A solutions.
• Test 2B solutions.
  
  
• Test 3 summary sheet.
• Test 3A solutions.
• Test 3B solutions.
  
  
• Test 4 summary sheet.
• Test 4A solutions.
• Test 4B solutions.
  
  
• Group Assignment 6 solutions.
• Test 5 summary sheet.
• Test 5A solutions.
• Test 5B solutions.
  
  
• Final information sheet.

Homework

Homework is posted below. You should double check the assignment for the current section(s) before you start working on it in case I've made any changes. I may also assign additional problems in class; if you miss a class you are responsible for getting a copy of any in-class homework from a classmate.

General comments on homework

• If I assign a problem then I expect you to do it. Unless I say otherwise, you should assume that I want you to do all parts and answer all questions posed in the problems. Check the assignment before you start to be sure you haven't missed any comments or changes I've made to the problems.
  
• Start on homework as soon as possible after we've covered the material in class (even if we don't finish a section on a particular day, there may be problems related to the part of the section we did finish). If it has been more than a class day or so since you've done any homework, then you're probably getting behind.
  
• Remember that homework is supposed to make sure you are learning the concepts and not just how to do specific problems. Therefore, you may see problems on the homework that do not look like the examples we did in class. You may need to use the book and your own creativity to solve these problems. If you are still having trouble, come by during office hours or set up an appointment.
  
• If you're only doing the homework right before the tests, then you will be behind in the assignments. I try to allow enough of a gap between lecturing on a topic and testing on the related homework that you time to come ask questions, but just because you're not being tested on a newer section does not necessarily mean that you shouldn't be starting that homework.
  
• If you do get behind, then the best strategy it to try to complete at least one problem of each type from the section, and then go back through and finish the rest as you have time (rather than simply starting at the beginning of the assignment and trying to work straight through it). This will give you a better idea of what I expect you to get out of the section. Again, you are expected to eventually complete the entire assignment.
  
• If you have questions about the homework or want to check your answers, feel free to come by and see me. If you can't make it during usual office hours, e-mail me some times you're available and we'll set up a time to meet.