Math 321 Syllabus and Homework Assignments (Prof. Lushnikov), Spring 2026

Column Date below is filled with dates for sections I (Prof. Lushnikov) finished lecturing on. DP means D. Poole's book. Homework is due each Tuesday (I pick up homework before lecture start) for all sections assigned from the previous week. For your convenience I also include due date for each homework assignment in column Due date. I recommend to read sections before I actually lecture on them. You might not understand them well, but you can find out the main concepts and have some questions already in mind when you listen to lectures. After you turn in assignments, I'll place *'s next to the problems being graded. Currently there are sections listed for all the material I plan to cover in D. Poole's book. However, I might decide to change some of them as the semester progresses, perhaps even adding or deleting a section here and there. So please return to this page periodically to make sure you are working the correct homework problems. Solution will be posted only to problems without answer key in DP.

	Date	Section	Homework	Due date
			Hw 1:
1	01/20/26	DP 1.1 The geometry and algebra of vectors	DP 1.1: 1(a,d),2(d),3(b),4(a,b),8,10,12,16	01/27/26
2	01/22/26	DP 1.2 Dot product.	DP 1.2: 2,3,5,7,11,14,15,17(b),24,25,30,41,43,51,55,59,66,71(optional)	01/27/26
			Hw 2:
3	01/27/26	DP 1.3 Lines and Planes	DP 1.3: 1,2,4,7,9,11,14,15(a),18(a,b),20,23,25(optional), 28,29,31,35,37,41(optional),42(optional),43(optional)	02/03/26
4	01/29/26	DP 1.3 Lines and Planes; DP 2.1 Introduction to Systems of Linear Equations DP 2.2 Direct methods for solving linear systems	DP 2.1: 1,2,3,11,15,16,17, 22, 28	02/03/26
			Hw 3:
5	02/03/26	DP 2.2 Direct methods for solving linear systems	DP 2.2: 1,2,3,4,9,10,14,17,19, 25,26, 34,35,36,40,45,48	02/10/26
6	02/05/26	DP 2.3 Spanning sets and linear independence	DP 2.3: 1,2,3,7	02/10/26
			Hw 4:
7	02/10/26	DP 2.3 Spanning sets and linear independence; DP Appendix C DP 3.1 Matrix operations	DP 2.3: 9,10,11,12,13(a,b),14(a,b),15(a,b),19,21(optional),22,23,24,43(optional). 25,30,31,34,35,38(optional)	02/17/26
8	02/12/26	DP Appendix C DP 3.1 Matrix operations	problems 1,2,3,4(a,b,c,d),5 DP 3.1: 1,2,3,4,5,6,7,8,9,14,13,19,21,23,24	02/17/26
			Hw 5:
9	02/17/26	DP 3.1: Matrix Operations DP 3.2: Matrix algebra	DP 3.1: 10,11,12,15,25,30,31,34,35,38(optional) DP 3.2: 2,6,14,18, 19,20,22,30,33,37(a,b),44,45(optional),46(optional)	02/24/26
10	02/19/26	DP 3.2 Matrix algebra; DP 3.3 Matrix inverse	DP 3.3: 14,15,16	02/24/26
			Hw 6:
11	02/24/26	DP 3.3 Matrix inverse; 3.4 LU factorization	DP 3.3: 2,3,12,13,17(a),22,24,36,38,40,41,54,57 DP 3.4: 2,3,8,10	03/10/26
12	02/26/26	Review and DP 3.4 LU factorization

13	03/03/26	Test 1 in Class. No hw due on 03/03/26
14	03/05/26	DP 3.4 LU factorization; DP 6.1 Vector spaces and subspaces	DP 6.1: 1,2,5,7,9,12,14,23,24,27,29(optional) ,34,37	03/10/26
			Hw 7:
15	03/10/26	DP 6.1 Vector spaces and subspaces; DP 3.5 Subspaces, basis, dimension, and rank (p.191)	DP 6.1: 35 DP 3.5: 2,7,11,12,16	03/24/26
16	03/12/26	DP 6.2 Linear independence, basis and dimension; DP 3.5 Subspaces, basis, dimension, and rank	DP 6.2: 1,5,6,17(optional) DP 3.5: 17,18,19	03/24/26

17	03/17/26	Spring break
18	03/19/26	Spring break
			Hw 8:
19	03/24/26	DP 6.2 Linear independence, basis and dimension; DP 3.5 Subspaces, basis, dimension, and rank	DP 6.2: 18,22,34,40(optional), 37,38,42(optional),44,45,49 DP 3.5 : 21,22,25,27,28,33	03/31/26
20	03/26/26	DP 3.5 Subspaces, basis, dimension, and rank; DP 6.2 Linear independence, basis and dimension ; DP 6.3 Change of basis	DP 3.5: 35,36,39,41,44,45,47,55,57(optional),60(optional) DP 6.2: 27,29,31,33(optional) DP 6.3: 1,4,5,7,9,15,17(optional),21(optional)	03/31/26
			Hw 9:
21	03/31/26	DP 3.6 Introduction to linear transformations; DP 6.4 Linear transformations;	DP 3.6: 1,4,7,12,15,16,21,36	04/14/26
22	04/02/26	Review and DP 3.6 Introduction to linear transformations; DP 6.4 Linear transformations; DP 6.5 Kernel and range of linear transformation	DP 6.4: 1,2,8,9,14,21,26 DP 6.5: 1,3,4,7,8	04/14/26

23	04/07/26	Test 2 in Class. No hw due on 04/07/26
24	04/09/26	DP 6.4 Linear transformations; DP 6.5 Kernel and range of linear transformation	DP 6.5: 9,10,12,16,18,21,22,24,28,33,37(optional),38(optional)	04/14/26
			Hw 10:
25	04/14/26	DP 6.6. Matrix of linear transformation. DP 4.2 Determinants;	DP 6.6: 1,4,7,9,10,17(optional),19(optional),40(optional),44,(optional) DP 4.2: 2,7,8,10,17,21,22,26,27,35,36,40	04/21/26
26	04/16/26	DP 4.2 Determinants (continue);	DP 4.2: 41,42,44,47,48,49,51,54,56(optional),57	04/21/26
			Hw 11:
27	04/21/26	DP 4.2 Determinants (continue); DP 4.1 Introduction to eigenvectors and eigenvalues; DP 4.3 Eigenvalues of n x n matrices;	DP 4.2: 65(optional),70(optional) DP 4.1: 7,23,25,27	04/28/26
28	04/23/26	DP 4.3 Eigenvalues of n x n matrices; DP 4.4 Similarity and diagonalization	DP 4.3: 3,4,5,14,20(optional),22(optional),25(optional)	04/28/26
			Hw 12:
29	04/28/26	DP 4.4 Similarity and diagonalization DP 5.1 Orthogonality;	DP 4.4: 8,10,16,40(optional),48(optional) DP 5.1: 7,11,17,35(optional)	05/05/26
30	04/30/26	DP 5.2 Orthogonal complements and orthogonal projection	DP 5.2: 1,7, 9,16, 19	05/05/26
			Hw 13(optional):
31	05/05/26	DP 5.3 Gram-Schmidt orthogonalization. DP 5.4 Orthogonal diagonalization of symmetric matrices	DP 5.3: 3(optional),5(optional),9(optional),20(optional) DP 5.4: 5(optional),10(optional),14(optional)	05/08/26
32	05/07/26	Review

	05/14/26	FINAL EXAM In Class 10am-12pm