Instructor: Jeffrey Connors
E-mail: jeffrey.connors@uconn.edu
Office: MONT 230
Office hours: By appointment (e-mail me). Also, you can always drop in and see if I happen to be available.

Class time and room: M/W/F 11:15 AM - 12:05 PM in MONT 225.

Text: Linear Algebra and its Applications, Fifth Edition, by Lay, Lay and McDonald.
Either get a copy at the bookstore (bundled with MyMathLab access) or just get the eText through Pearson when you register for MyMathLab. Access is good for two years.

Systems of equations, matrices, determinants, linear transformations on vector spaces, characteristic values and vectors, from a computational point of view. The course is an introduction to the techniques of linear algebra with elementary applications. Topics are shown below.

PDF SYLLABUS

Homework: Homework will be assigned for each section and due TENTATIVELY according to the schedule shown below (scroll down). We will use MyMathLab online for homework.

MyMathLab login

MyMathLab registration instructions

Tech support document     (Note that you need to use Chrome or Firefox, allow pop-ups for the site and enable cookies.)

Late homework: Late homework is penalized at rate of 15% per day. This is applied only to the portions of assignments submitted after their due date.

Calculators: The use of calculators will not be permitted on exams. Calculators may be used on homework, along with any computer software.

Grading policy: The course grade is 20% homework, 20% exam 1, 25% exam 2 and 35% final exam.

Final exam: Monday, May 4, 2020 in room MONT 225 (same as the class). This exam is from 8:00 AM - 10:00 AM. The exam is cumulative.


Some resources:
MIT linear algebra video lectures.
Matrix row-reduction video from the UConn Q Center.

Dates	Book Sections	Topics	Exercises	Due dates	Lecture aids
Jan. 22, 24	1.1, 1.2	Systems of linear equations, row reduction, echelon forms	Sect. 1.1 #1, 3, 8, 9, 12, 16, 19, 23	Jan. 31
			Sect. 1.2 #2, 5, 6, 7, 8, 11, 12, 21	Jan. 31
Jan. 27 - 31	1.3, 1.4, 1.5	Vector equations, matrix form, solution sets	Sect. 1.3 #1, 5, 9, 12, 17, 19, 21, 24, 25	Feb. 7
			Sect. 1.4 #1, 6, 7, 9, 11, 15, 22, 23	Feb. 7
			Sect. 1.5 #1, 6, 7, 9, 10, 23	Feb. 7
Feb. 3 - 7	1.7, 1.8, 1.9	Linear independence, transformations	Sect. 1.7 #1, 3, 6, 8, 9, 15, 17, 22, 23, 24, 33, 35, 36	Feb. 14
			Sect. 1.8 #1, 4, 7, 10, 13, 15, 17, 19, 22, 31, 33	Feb. 14
			Sect. 1.9 #1, 2, 3, 5, 9, 13, 17, 25	Feb. 14
Feb. 10 - 14	2.1, 2.2, 2.3	Matrix operations, inverse matrices	Sect. 2.1 #1, 3, 7, 8, 9, 12, 16, 18, 21	Feb. 21
			Sect. 2.2 #1, 3, 6, 10, 21, 22, 24, 31, 32	Feb. 21
			Sect. 2.3 #1, 5, 9, 12, 15	Feb. 21
Feb. 17, 19	3.1, 3.2	Determinants and their properties	Sect. 3.1 #1, 7, 10, 16, 37, 42	Feb. 28
			Sect. 3.2 #1, 4, 5, 7, 12, 15, 19, 26, 27, 28	Feb. 28
Feb. 21, 24	from 1.1 to 2.3	Exam 1 review, catch-up
Feb. 26	---	Exam 1
Feb. 28	4.1	Vector spaces	Sect. 4.1 #1, 2, 5, 8, 9, 11, 14, 15, 16, 18, 21, 22, 32	Mar. 6
Mar. 2 - 6	4.2, 4.3	Null and column spaces, linear independence, bases	Sect. 4.2 #1, 3, 5, 9, 13, 15, 17, 18, 20, 24, 26	Mar. 13
			Sect. 4.3 #1, 2, 3, 5, 6, 10, 11, 12, 14, 19, 33, 34	Mar. 13
Mar. 9 - 13	4.4, 4.5, 4.6	Coordinate systems, dimension, rank	Sect. 4.4 #1, 3, 5, 7, 9, 13, 21, 28	Mar. 27
			Sect. 4.5 #1, 3, 9, 10, 13, 14, 20, 21, 29, 31	Mar. 27
			Sect. 4.6 #1, 4, 6, 8, 11, 14, 18	Mar. 27
Mar. 16 - 20	---	Spring Break - no class
Mar. 23 - 27	5.1, 5.2	Eigenvectors, eigenvalues, characteristic equation	Sect. 5.1 #2, 3, 6, 11, 13, 15, 17, 18, 21, 24	Apr. 3
			Sect. 5.2 #1, 5, 9, 15, 17, 18, 21	Apr. 3
Mar. 30 - Apr. 3	5.3, 5.4	Diagonalization, representations of linear systems	Sect. 5.3 #1, 3, 6, 9, 12, 21, 22, 24	Apr. 10
			Sect. 5.4 #1, 2, 4, 13, 14, 20	Apr. 10
Apr. 6, 8	from 3.1 to 5.2	Exam 2 review, catch-up
Apr. 10	---	Exam 2
Apr. 13 - 17	6.1, 6.2, 6.3	Inner products, orthogonal sets, orthgonal projections	Sect. 6.1 #1, 4, 9, 14, 15, 16, 19, 20	Apr. 24
			Sect. 6.2 #2, 7, 10, 14, 17, 18, 23, 24	Apr. 24
			Sect. 6.3 #4, 5, 8, 12, 13	Apr. 24
Apr. 20 - 24	6.4, 6.5	Gram-Schmidt process, QR factorization, least-squares problems	Sect. 6.4 #5, 6, 10, 11	May 1
			Sect. 6.5 #3, 17, 19, 20	May 1
Apr. 27	7.1, 7.4	Light coverage of symmetric matrices and SVD
Apr. 29, May 1	from 1.1 to 6.5	Final review, catch-up
May 4	---	Final Exam

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