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Renzo's
class 


MWF 12 12:50 pm 


Weber 223 // in the oval with good weather 







TEXTBOOK:
David Cherney, Tom Denton,
Rohit Thomas and Andrew Waldron
(freely available for download at the link above)
RESOURCES
Chapter 1 annotated
Chapter 2 annotated
Linear functions (again): annotated
Matrix multiplication: annotated
WORKSHEETS
FINAL EXAM PREP
LaTeX
CHEATSHEET:
Office
hours: the
official office hours for this class are following each lecture. However, you
are very welcome to make an appointment and come ask questions, make comments,
or just chat. You can also try showing up at my door anytime. But I might tell
you to come back at another time if I am immersed into something else.
The tables of the law for this class are contained in the
following document:
Syllabus
Homework: math is not a sport for bystanders. Getting your
hands dirty is
important to make sure that
things sink in and you are not just spending a semester assisting to my
creative rambling. Homework will be due pretty much every Friday (but
see below
for the uptodate information). This semester I am going to be
experimenting for the first time both with Canvas and WebWorks.
Hopefully these will prove useful resources, but please bear with me as
I learn the ropes. They say old dogs have a hard time learning new
tricks...I don't consider myself an old dog yet, but sometimes
technology makes me feel that way...
Homework will be both posted here and on Canvas
DUEDATE: 

Aug 28th 
Write
down (at least) one question or comment about Chapter 1, and (at least)
one question or comment about Chapter 2 of the book. 
Sep 1st  Write down (at least) one question or comment about Chapter 4, Sections 1,2,4. Read Section 3 but don't think too deeply about it. We will come back to it later. 
Sep 6th  Webwork assignement "Vectors in Space". 
Sep 8th  Write
down (at least) one question or comment about Chapter 5, Section
1. Ponder the following definition. Definition of Vector Subspace. We say that a subset U of a vector space V is a subspace of V if U is itself a vector space under the inherited addition and scalar multiplication operations of V. Equivalently, U is a subspace of V if it is closed under addition and scaling (using the operations of V). Answer the following questions: 1  Is a straight line a vector subspace of the coordinatized plane? 2  Is a straight line through the origin a vector subspace of the coordinatized plane? 3  Is a parabola a vector subspace of the coordinatized plane? 4  Is the set of polynomials of degree less than or equal to 5 a vector subspace of the vector space of polynomials? 5  Is the set of polynomials of degree greater than or equal to 5 a vector subspace of the vector space of polynomials? 
Sep 11th  Webwork assignement "Vector Spaces". Think about: "what are the key points to take away from Worksheets 1 and 2"? Be prepared to contribute to a discussion in class. 
Sep 13th  Answer questions 1, 2, 3 at the end of Worksheet 2, planes & more. 
Sep 15th  Write down (at least) one question or comment about Chapter 6 of the book. 
Sep 22th  Webwork assignement "Linear Transformations". 
Sep 25th  Write down (at least) one question or comment about Chapter 9 of the book. 
Sep 27th  Webwork assignement "Subspaces and Spans". 
Sep 29th  Write solutions to Problems on Worksheet 3 "Linear functions" (only problems, not the discussions). 
Oct 2nd  Write down Discussion 4 on Worksheet 3 "Linear functions". Write solutions to Problems on Worksheet 4 "Bases" 
Oct 4th  Write down (at least) one question or comment about Chapters 10 and 11 of the book. 
Oct 6th  Webwork assignement "Linear Independence" 
Oct 9th  Webwork assignement "Basis and dimension" 
Oct 18th  Write down (at least) one question or comment about "Isomorphisms: annotated". 
Oct 20th  Write solutions to the problems highlighted in green in "Isomorphisms: annotated". 
Oct 23rd  Write down (at least) one question or comment about "Linear functions (again): annotated" 
Oct 25th  Write solutions to the problems highlighted in green in "Linear functions (again): annotated" 
Oct 30th  Webwork assignement "KernelRangeNullityRank" 
Nov 3rd  Write
down (at least) one question or comment about "Matrix multiplication: annotated ". Answer problem 2.21 on page 234. 
Nov 29th 
Write down (at least) one question or comment about "Determinants: annotated " 
Dec 1st 
Write solutions to the problems highlighted in green in "Determinants: annotated". If you cannot see the colors, they are the following problems: 1.8, 2.13, 2.15, 2.18, 2.20 
Dec 4th 
Write
down (at least) one question or comment about "Worksheet 6: the determinant ". Answer Problem 1 on the worksheet. 
Exams: There
will be two midterms and a final. These
dates might change, so please check occasionally. If dates change I
will also mention it in class, of course.