Syllabus

• MATH 300-001 Syllabus (pdf)

Homework

1/14
Due R 1/16: Read the course syllabus and come to class on Thursday with any questions or comments you may have.
Due R 1/16: Read the article "The Secret to Raising Smart Kids" and submit answers to the following questions:
                    1) Describe what the author means by a fixed mindset and a growth mindset.
                    2) According to the author, how do each of these mindsets affect academic performance, communication in the workplace, and the quality of personal relationships?
                    3) With which mindset have you approached your mathematical study in previous courses? How can you adopt more of a growth mindset in this and other courses?
Due T 1/21: Section 1.1: 1-23 odd, 29, 31

1/16
Due R 1/23:Section 1.2: 1-27 odd

1/21
Due T 1/28: Section 1.3: 1-29 odd (Feel free to start using RowReduce in Mathematica!)

1/23
Due R 1/30: Section 1.4: 1-25 odd,29,31,33,39

1/28
Due T 2/4: Section 1.5: 1-23 odd, 27-35 odd

1/30
Due R 2/6: Section 1.7: 1-21 odd, 27-39 odd

2/4
Due T 2/11: Section 1.8: 1-11 odd, 17,19,21,37,39
Due T 2/11: Section 1.9: 1-11 odd, 15,17,19,23,25,27,31,35,39
Begin studying for Test 1!

2/6
Continue studying for Test 1! Remeber that we'll meet in SIMS 114!

2/13
Due R 2/20: Section 2.1: 1-9,15-27,37 all odd
Due R 3/5: Project 1
Project Guidelines:
1. Your project should be well written. You should turn in a report of your findings, not simply the work done. You may include calculations in an appendix to the project,
but the report should focus on the findings and the mathematical implications of the findings.
2. You will be graded on the correctness of the mathematics used, the structure of the report, and the creativity put into the project.
3. You may work individually or in groups of 2.

2/18
Due T 2/25: Section 2.2: 1-9, 13-23,29,31 all odd

2/20
Due R 2/27: Section 2.3: 1-11, 17-31 all odd
Due R 2/27: Section 2.4: 1,3,5,7,11,13,17,21,27c

2/25
Due T 3/3: Section 2.5: 1-17 odd

2/27
Due R 3/5: Section 2.6: 1,3,5,7,9,13
Reminder: We will meet in SIMS 114 next week for Section 2.7!

3/3
Due T 3/10: Section 2.7: 1,3,5,7,15,17
Additionally, please use the 2.7 Template below to create a Mathematica sheet (and send to me via e-mail) with the following:
1. Choose a unique image that can be drawn using straight line segments, define appropriate data and adjaceny matrices for your image, and then draw your image using RenderData.
2. Using an appropriate linear transformation, create a Manipulate command that will allow you to vertically shear your image by varying degrees.
3. Using an appropriate linear transformation, create a Manipulate command that will allow you to horizontally translate your image by various amounts.
    (Note: Recall that with translations, you'll have to use homogeneous coordinates.)
4. Pick any two linear transformations discussed in the section, and use RenderData to show the results of applying both transformations to your image.  Does the order in which you apply the transformations matter?

3/5
Continue working on the 2.7 homework above. We'll assign 2.8 problems after next class.

3/10
Due R 3/26: Section 2.8: 21-37 odd
Due R 3/26: Section 2.9: 9-15 odd, 19-25 odd

Lecture Notes - You are encouraged to read the following supplemental notes before and/or after each section is covered in class. Also, bringing the notes to class can cut down on time spent writing!

Section 1.1 (Systems of Linear Equations)
Section 1.2 (Row Reduction and Echelon Forms)
Section 1.3 (Vector Equations)
Section 1.4 (The Matrix Equation Ax = b)
Section 1.5 (Solution Sets of Linear Systems)
Section 1.7 (Linear Independence)
Section 1.8 (Introduction to Linear Transformations)
Section 1.9 (The Matrix of a Linear Transformation)
Chapter 1 Mathematica Files

Section 2.1 (Matrix Operations)
Section 2.2 (The Inverse of a Matrix)
Section 2.3 (Characterizations of Invertible Matrices)
Section 2.4 (Partitioned Matrices)
Section 2.5 (Matrix Factorizations)
Section 2.6 (The Leontief Input-Output Model)
Section 2.7 (Applications to Computer Graphics)
Section 2.8 (Subspaces)
Section 2.9 (Dimension and Rank)
Chapter 2 Mathematica Files

Section 3.1 (Introduction to Determinants)
Section 5.1 (Eigenvalues and Eigenvectors)
Section 5.2 (The Characteristic Equation)
Section 5.3 (Diagonalization)
Section 5.4 (Eigenvectors and Linear Transformations)
Section 5.5 (Complex Eigenvalues)
Section 5.6 (Discrete Dynamical Systems)
Section 6.1 (Inner Product, Length, and Orthogonality)
Chapter 3 and 5 Mathematica Files

Useful/Fun Links

How to Succeed in a Math Class - A nice handout created by Eric Scott at HCC on effective strategies for learning math.

Winthrop Department of Mathematics – In particular, browsing through the site can be very useful for choosing future math classes or exploring a math major/minor.

We Use Math – The “Careers”, “How To Succeed”, and “Did You Know?” tabs are great reading for anybody looking for some extra motivation to study math!

Directions for downloading Mathematica for Winthrop students:

1.  Go here and click on Students.
2.  A window will open called the Wolfram User Portal.  Select the “Create Account” button and create an account at Wolfram.
3.  Return to the original page, log in to the account just created and request a license key.
4.  Wolfram should send the key to the email address that is also the Wolfram ID for the account.
5.  Download the appropriate product from the Wolfram User Portal using the key provided.