## Math 314 - Linear Algebra with Applications

Section 2: MWF 1 - 1:50 pm, DSH 228, Syllabus
Section 3: MWF 2 - 2:50 pm, DSH 127, Syllabus

Textbook: Steven J. Leon, "Linear Algebra with Applications", 8th edition, Pearson, ISBN-10: 0-13-600929-8
Other texts: Jeffrey Holt, "Linear Algebra with Applications", 1st edition, W. H. Freeman, ISBN-10: 0716786672,
David C. Lay, "Linear Algebra and Its Applications", 4th edition, Pearson, ISBN-10: 0321385179
Books of examples and exercises: S. Lipschutz , "Schaum's Outline of Beginning Linear Algebra", 1st edition, McGraw-Hill, ISBN-10: 0070380376
S. Lipschutz , "3,000 Solved Problems in Linear Algebra", 1st edition, McGraw-Hill, ISBN-10: 0070380236

Solutions and grades: to be posted on UNM Learn

Prerequisites: Calc II (Math 163 or 181) and Matlab (CS 151L or CS 152L or PHYC 290 or ECE 131) are required; Calc III is strongly recommended

Instructor Info: Anna Skripka, skripka [at] math [dot] unm [dot] edu
Office hours in SMLC 212: M 3:05-3:30 pm, W 3:05 - 3:50 pm, F 12-12:45 pm
CAPS tutoring sessions

Matlab installation
Matlab examples:  coded_message.pdf solving_systems.pdf least_squares.pdf least_squares.m

MIT video lectures,  Khan Academy video lectures

Want a regrade? If it is less than a week since the assignments were distributed in class, please check the solution key and state precisely in your claim which step of your solution seems to have been overlooked by the grader.
TENTATIVE Schedule (to be updated at the end of each week)

 Week Class Dates Book Sections Topics Homework Due Dates 1 Jan 20, 22 1.1, 1.2 Systems of linear equations. Gauss-Jordan reduction. section 1.1: #1(a,b,d),2(a,c),3(a,b,d),4(a,b,c),5(a,b,c), 6(a,c,f),7,8; section 1.2: #1,2,3,5(a,c,e,f,h),6(a,d),8,11,12 2 Jan 25, 27, 29 1.2, 1.3, 1.4 Matrix algebra. Application 1: traffic flow. Application 2: expenses calculation. section 1.3: #1,2,3,4,5(a,c),8,9,10,15; section 1.4: #1(a),6,7,12,28,30(a) Quiz & HW over 1.1, 1.2: Jan 29 3 Feb 1, 3, 5 1.5, 2.1, 2.2 Matrix inverse. Determinant and its properties. section 1.5: #1,2,10(a,f,g,h),12(a,d),15; section 2.1: #1,2,3(a,d,f,g),4,5; Quiz & HW over 1.3, 1.4, 1.5, Drop with no grade: Feb 5 4 Feb 8, 10, 12 2.2, 2.3 Applications of determinants. Review. Matlab. Applications 3, 4: encoding messages; pharmaceutics. section 2.2: #1,2,3(a,c,e,f),4,5,7(c,d),9,12(a); section 2.3: #1(a,c),2(a,c,d),3,5(a,b) HW over 2.1, 2.2, 2.3, Exam over 1.1-2.3: Feb 12 5 Feb 15, 17, 19 3.1, 3.2 Vector spaces and subspaces. Spanning sets. section 3.1: #3; section 3.2: #1,2,3(a,d),4(d),10(a,b),11,12(a,c),16 6 Feb 22, 24, 26 3.2, 3.3, 3.4 Linear independence. Basis and dimension. Application 5: VecMobile. section 3.3: #1,2(a,c),4(a,c),8(a,c),9(a),12 section 3.4: #3,4,5,7,8(a),10,14; Quiz & HW over 3.1, 3.2: Feb 26 7 F 29, Mar 2, 4 3.4, 3.5, 3.6 Change of basis. Basis of a span. Application 6: mathematical prediction. section 3.5: #1(a),2(a),3,4,5(b(i)),6,7,8; section 3.6: #1(a,b),2(b,c),3,4(b,e),5(b,e),6,8,9,16 Quiz & HW over 3.3, 3.4: Mar 4 8 Mar 7, 9, 11 3.6 Row, column, and null spaces. Review. HW over 3.5, 3.6, Exam over 3.1-3.6: Mar 11 10 Mar 21, 23, 25 4.1, 4.2, 4.3 Linear transformations and their matrix representations. Application 7: computer graphics and animation. section 4.1: #1,4,5,6,8,9,17; section 4.2: #1,2,3,4(b),5(b,c),18(a,b) section 4.3: #1(a,b,e),2,4; 11 M 28, 30, A 1 5.1, 5.2 Scalar product. Orthogonal subspaces and orthogonal complements. section 5.1: #1(a,b),2(a,b),3(a,c),4,7 section 5.2: #1(d),2,3(b),4,9 Quiz & HW over 4.1, 4.2, 4.3: Apr 1 12 Apr 4, 6, 8 5.2, 5.3, 5.4 Least squares problems. Inner product spaces. Application 8: curves of best fit. Matlab. section 5.3: #1(a,c),3(a),4(a),5,6; section 5.4: #1,2(b,c),7(a,c),8(b,c); Application 9: MATLAB HW Quiz & HW over 5.1, 5.2: Apr 8 13 Apr 11, 13, 15 5.5, 5.6 Orthonormal sets. Gram-Schmidt orthogonalization. Application 10: signal processing. section 5.5: #1,2,3,6(a,b),8,30,32; section 5.6: #1(a),3,4,7 HW over 5.3, 5.4, Withdrawal deadline: Apr. 15 14 Apr 18, 20, 22 6.1 Review. Eigenvalues, eigenvectors. section 6.1: #1(a,c,d,e,g,j),2; HW over 5.5, 5.6, Exam over 4.1-5.6: Apr 22 15 Apr 25, 27, 29 6.2, 6.3 Diagonalization. Markov process. Review. Applications 11, 12, 13: diff. equations, migration model, Google page ranking. section 6.3: #1(a,c,d),2(a,c,d),7section 6.2: #1(c),2(a,b),3; HW over 6.1, 6.2, 6.3: Apr 29 16 May 2, 4, 6 Review. Topics for the final exam Cumulative Final Exam: May 6