MAT 322: Analysis in Several Dimensions
Spring 2015

## Schedule and homework assignments for MAT 322

Legend: Blue colored homework problems test important new material and you should defintely do them. Red colored homework will not be collected, but make sure that you are able to do these problems, which give you an extra practice.

 Dates Sections covered (reading assignments) Homework Jan 27 & Jan 29 Ch.1, §§1-3 HW 1; due: Feb 3 pp. 9-10: 1,2,4; p. 24: 2,4,6; pp. 30-31: 2,4,6,8; Prove the following inequality on p. 4: $\bg_white&space;|\mathbf{x}|\leq\Vert\mathbf{x}\Vert\leq\sqrt{n}|\mathbf{x}|$ p. 10: 5; p. 24: 3,5; pp. 30-31: 1,5,9. Feb 3 & Feb 5 Ch.1, §4 & Ch.2, §5 Ch.1 Extra material HW 2; due: Feb 10 pp. 39-40: 1,2,4; pp. 48-49: 1,2,4; p. 49: 3,5,6. Feb 10 & Feb 12 Ch.2, §§6-8 Ch.2 Extra material HW 3; due: Feb 17 pp. 54-55: 4,5,7,9; p. 63: 1,3; pp. 70-71: 2,3,5; pp. 54-55: 2,8,10; p. 63: 2,4; pp. 70-71: 1,4 Feb 17 & Feb 19 Ch.2, §9 & Ch.3, §§10 HW 4; due: Feb 24 pp. 78-79: 2,5,6; p. 90: 1,2,3,4,5 (Hint: use Thm 10.3 and MAT 320 textbook) pp. 78-79: 1,3; p. 90: 6,7. Feb 24 & Feb 26 Ch.3, §§11-15 HW 5; due: Mar 3 pp. 97-98: 1,3,6,9; p. 103: 2,4 & extra problems, p. 111: 2,4,5; p. 97: 2,4,7; p. 111: 1,4. Mar 3 & Mar 5 Ch.4, §§15-20 HW 6; due: Mar 10 pp. 120-121: 3,5,8; p. 132-133: 1,3,4 & extra problems; pp. 120-121: 2,4,7; pp. 132-133: 2,5,6. Mar 10 & Mar 12 Midterm 1, March 12, 11:30 - 12:50, in class; covers §§ 3-15. No HW Midterm 1 (covers Chapters 1-3) review Solutions to selected problems Mar 24 & Mar 26 Reading assignment: Ch.4 Study guide Ch.5, §§21-23 HW 7; due: Mar 31 Midterm I solutions p. 151: 3,4,6; p. 160: 1, 3(a), 3(b); pp. 167-168: 1,6; p. 177:1,2 & extra problems Mar 31 & Apr 2 Ch.5, §§24-25 & Ch.6 HW 8; due: Apr 7 p. 187: 2,3,5; p. 193: 2,3; p. 202: 1,3,4; p. 208: 1,4; p. 193: 4, p. 202: 5,6. Apr 7 & Apr 9 Reading assigment: §§26-27 (especially properties of the symmetric group); Ch.6, §§26-29 Ch.4-5 Extra material HW 9; due: Apr 14 p. 209: 3,5; pp. 217-218: 3-7 & extra problems; p. 218: 2,6 Apr 14 & Apr 16 Ch.6, §§30-32 HW 10; due: Apr 21 p. 226: 4,6,8; p. 236: 1,2,3,4; p. 226: 1,2,3,5; p. 236: 5. Last day for turning in late HW 7-9. Apr 21 & Apr 23 Midterm 2, April 21, 11:30 - 12:50, in class; covers §§16-27. HW 11, due April 28 p. 243: 1,3,4; p. 251: 1,2,3; p. 260: 1,2,4; p. 265: 1,2; p. 273: 2,3; p. 243: 5,6; p. 251: 4, p. 260: 6, 265: 3, p. 273: 4,5. Apr 28 & Apr 30 Ch.7, §§33-35, §37 HW 12; due: May 5 Midterm II solutions p. 265: 3,4; p. 273: 5; p. 280: 1,2,4; p. 291: 1,2,3,4; p. 296: 3. May 5 & May 7 Ch.7, §§37-38 & Review HW 13 (as a practice for the final exam) pp. 308-309: 2,3,4,6; pp. 320-321: 2,3,4. May 13 Final exam, May 13, 5:30 - 8:00PM in class; covers §§3-35 & §§37-38. Extra office hours: Monday, May 11 and Wednesday, May 13, 2:00-3:00pm in 5-111.