MA442
This is an honors level course in linear algebra. A syllabus can be found here.
A list of optional projects can be found here. (Last update: March 8)
Lecture
Time: T/Th 9:30am -- 10:45am.
Location: CAS B27
Discussion
Time: W 10:10am -- 11:00am.
Location: COM 215
Most recent update:
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Course schedule and notes

Textbook sections indicated in yellow.

Jan 20: definition of a vector space, examples.
§1.2
Jan 22: Subspaces, examples.
§1.3
Jan 27: Linear combination, linear equations, span.
§1.4
Jan 29: Linear (in)dependence.
§1.5
Feb 3: Bases and dimension.
§1.6
Feb 5: Dimension and subspaces.
§1.6
Feb 10: Linear transformations, kernel.
§2.1
Feb 12: Dimension theorem, injective, surjective maps.
§2.1
Feb 17: *BU Monday-no class*.
Feb 19: Matrix representations.
§2.2
Feb 24: Midterm 1 review. See attached for review sheet.
Feb 26: Midterm Exam 1.
Mar 3: Composition and matrix multiplication
§2.3
Mar 5: Invertibility and isomorphisms.
§2.4
Mar 17: Problems from §2
§2
Mar 19: Elementary row operations
§3
Mar 24: TBA
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Mar 26: TBA
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Mar 31: TBA
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Apr 2: TBA
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Apr 7: TBA
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Apr 9: Midterm Exam 2
Apr 14: TBA
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Apr 16: TBA
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Apr 21: TBA
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Apr 23: TBA
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Apr 28: TBA
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Apr 30: TBA
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Recommended homework exercises and practice problems

Select solutions posted when available. The optional projects can be found here. (Last update: March 8)

§1.2
1, 4(e)-4(f), 7, 8, 10, 12, 13, 17,20,21.
§1.3
1, 8, 10, 11, 13, 15, 17, 19, 22-24, 30.
§1.4
1, 5, 6, 7, 8, 11, 12, 13, 16
§1.5
1, 4, 5, 8, 9, 11, 13, 14, 20
§1.6
1, 2, 4, 7, 9, 11, 12, 20, 21, 22, 23, 24, 29, 31, 32
§2.1
1, 2, 5, 11, 14, 17, 21, 24, 26, 27, 37*, 38*, 40*
§2.2
1, 2, 8, 10, 12, 16, 17
§1.1-2.2
Practice problems for exam 1
§2.3
1, 2, 3, 8, 12, 13, 16
§2.4
1, 2, 4, 7, 10, 14, 16, 22, 24
§3.1
1, 2, 8, 12
§3.2
1, 2, 3, 5, 11, 14, 18, 21, 22

Quizzes

Quizzes take place during discussion section (on Wednesdays) during weeks with no midterm exams.

Sample
Quiz Solutions
Jan 28
Quiz Solutions
Feb 4
Quiz Solutions
Feb 11
Quiz Solutions
Feb 18
Quiz Solutions
March 4
Quiz Solutions
March 18
Quiz Solutions
March 25
Quiz Solutions
April 1
Quiz Solutions
April 15
Quiz Solutions
April 22
Quiz Solutions
April 29
Quiz Solutions