Spring 2015

This semester I am teaching MATH461 “Linear Algebra for Scientists and Engineers” Section 0601.

Information about the course will be posted here.

Syllabus: Basic concepts of linear algebra: vector spaces, applications to line and plane geometry, linear equations and matrices, similar matrices, linear transformations, eigenvalues, determinants and quadratic forms. Time permitting, we will discuss important applications of linear algebra (electrical networks, difference equations, discrete dynamical systems, Markov chains, system of differential equations).

Textbook: the main reference is David C. Lay: Linear Algebra and its applications 4^th ed, and we will follow this book closely. Homeworks will be assigned from the textbook.

Classes: TuTh 2:00-3:15pm in MATH0302.

Office hours: Tu 1:00-1:50pm and Th 3:30-4:20pm in my office (MATH4416), and by appointment.

Homework: Due every week.

Midterms: February 24, April 2, May 7.

Final: Monday, May 18, 10:30am-12:30pm.

MATLAB assignments: TBA.

Grader: Timothy Hensel (thensel_AT_umd_DOT_edu).

First day handout with detailed course information and grade policy.

Schedule:

• January 27, Section 1.1

• January 29, Section 1.2,1.3

• February 3, Section 1.3,1.4,1.5
  
  HW1 (Section 1.1 4,10,14,16,21, Section 1.2 4,11,20,23, Section 1.3 5,10,14,21, Section 1.4 1,7,12,14,22)

• February 5, Section 1.5,1.7

• February 10, Section 1.8,1.9
  
  HW2 (Section 1.5 3,5,12,13,20,22,31, Section 1.7 2,3,5,10,22,25 Section 1.8 1,4,8,15,19)

• February 12, Section 1.9,2.1

• February 17, (CLASS CANCELLED)

• February 19, Section 2.1, 2.2
  
  HW3 (Section 1.9 2,4,6,8,10,12,15,18, Section 2.1 2,4,7,12,15,17,18 Section 2.2 2,7,10,14,21,22,31,32)

• February 24, 1^st MIDTERM (Solutions)

• February 26, Section 2.3,3.1,3.2
  
  HW4 (Section 2.3 3,5,7,8,10,12,15,18, Section 3.1 1,2,5,10,14,25,34, Section 3.2 4,7,12,16,22,24)

• March 3, Section 3.2,3.3,4.1

• March 5, (CLASS CANCELLED)

• March 10, Section 4.1,4.2
  
  HW5 (Section 3.3 2,6,10,16,20,23,24, Section 4.1 2,6,8,10,14,16,21,31, Section 4.2 4,7,14,16,19,23,24,28,31)

• March 12, Section 4.2,4.3
  
  MATLAB HW1

• March 24, Section 4.3,4.4
  
  HW6 (Section 4.3: 1, 4, 10, 13, 16, 21, 33, Section 4.4: 2, 6, 8)

• March 26, Section 4.4,4.5

• March 31, Section 4.6, 4.7
  
  HW7 (Section 4.4 10,13,28,32 Section 4.5 2,3,12,14,19,22,25 Section 4.6 2,6,8,16,21,24)

• April 2, 2^st MIDTERM (Solutions)

• April 7, (CLASS CANCELLED DUE TO POWER OUTAGE)

• April 9, Section 5.1,5.2,5.3
  
  HW8 (Section 4.7 2,8,14 Section 5.1 3,12,14,18,24,25 Section 5.2 6,8,14,16 Section 5.3 6,10,12,14,22,23)

• April 14, Section 5.3,5.4

• April 16, 5.4,5.5
  
  MATLAB HW2

• April 21, Section 5.6(only Predator-Prey model), 6.1
  
  HW9 (Section 5.4 1,4,6,9,11,14, Section 5.5 2,6,8,10,14,16, Section 5.6 3, Section 6.1 2,8,10,13,19,24,25,28)

• April 23, Section 6.2,6.3

• April 28, Section 6.3, 6.4(skip Theorem 12)
  
  HW10 (Section 6.2 1,4,8,12,14,15,20, Section 6.3 1,4,8,11,15, Section 6.4 2,4,8,9,10)

• April 30, Section 6.5(skip Theorem 15), 6.6

• May 5, Section 7.1,7.2
  
  HW11 (Section 6.5 2,6,10,13,14, Section 6.6 3,4, Section 7.1 5,6,8,10,14)

• May 7, 3^rd MIDTERM (Solutions)

• May 12, Section 7.2