## Topics in Applied Mathematics I: Math 311

Section 506
Fall 2017, MWF 1:50-2:40 p.m. in BLOC 163.

### Announcements

• The final exam is Tuesday, December 12, 3:30-5:30 p.m. It will cover all sections form Chapters 1-6, 8-11 which were discussed in class. To prepare for the exam, you should start with the following examples and exercises. Make sure to also go over the examples done in class, as well as old exams, quizzes, and homework problems.
• Examples 2.1.1, 3.3.9, 3.4.4, 5.4.1, 5.5.8, 6.3.2, 9.5.10, 10.3.2, 11.3.1, 11.3.4.
• Exercises 2.2.3, 3.2.11, 3.3.9, 3.4.3, 4.1.4, 5.4.7, 5.5.30, 6.3.2, 11.3.1, 11.3.14.
• Handout on subspaces.
• Handout on networks.
• Handout on the chain rule.
• Handout on the conservation of energy.

### Homework

The problems below are due in class on the date indicated, except for starred* problems, which are for practice, but do not need to be turned in. Remember that for a problem to get full credit, both the correct answer and good justification for it are necessary.
• Practice homework, not to be turned in.
• Read sections 11.2, 8.4, 10.3, 11.3.
• Section 11.2, problems 3, 15, 21.
• Section 8.4, problems 3, 9, 13.
• Section 11.3, problems 1, 7, 14, 15.
• Homework 9, due December 1.
• Read sections 9.5, 8.3, 10.1, 11.2, 8.4.
• Section 9.5, problems 2, 8, 9.
• Section 8.3, problems 1, 4, 17.
• Section 10.1, problems 9, 15, 18, 25.
• The third midterm exam was Friday, November 17, in class. It covered sections 6.1, 6.3, 8.1, 9.2-9.4, 11.1 of the textbook. The mean was 75, the median 82. Solutions are posted on eLearning.
• Practice homework, not to be turned in.
• Section 9.2, problems 2, 4*, 7, 8, 19.
• Section 9.3, problems 1, 4, 8*, 11, 13.
• Section 9.4, problems 1*, 2*, 7, 15.
• Homework 8, due November 13.
• Read sections 6.3, 8.1, 11.1.
• Section 6.3, problem 22.
• Section 8.1, problems 1, 4, 15, 17, 25.
• Section 11.1, problems 1, 2, 3, 21.
• Homework 7, due November 6.
• Section 6.1, problems 1(a, c, e, g, i), 10, 12, 13.
• Section 6.3, problems 1(a,c,e), 2(a,c), 6, 7, 12.
• The second midterm exam was Friday, October 27, in class. It covered sections 3.4, 3.5, 4.1, 4.2, 5.1, 5.3-5.6 of the textbook. The mean was 59%, the median 62%. Solutions are posted on eCampus.
• Practice homework, not to be turned in.
• Read sections 5.4, 5.5, 5.6.
• Section 5.4, problems 2*, 7, 8.
• Section 5.5, problems 1, 3, 4*, 6, 8, 21(i)*, 29.
• Section 5.6, problems 1(a), 3, 4, 7*.
• Homework 6, due October 20.
• Read sections 5.1, 5.3, 5.4.
• Section 5.1, problems 1(a-c)*, 3(a-c), 4, 6*, 7, 8(a,b), 10, 14, 17, 20*.
• Section 5.3, problems 1(a), 2, 5, 6*.
• Homework 5, due October 13.
• Read Sections 4.1, 4.2, 5.1.
• Section 4.1, problems 1*, 3*, 4, 5, 9, 10*, 11, 17, 23.
• Section 4.2, problems 1*, 2, 4, 5, 6*, 14*, 15.
• Homework 4, due October 6.
• Read Sections 3.4, 3.5, 4.1.
• Section 3.4, problems 1(a-c), 3, 4, 5, 6(b)*, 14(a,b).
• Section 3.5, problems 1, 2, 4, 5, 9*, 10.
• The first midterm exam was Friday, September 29, in class. It covered sections 1.1-1.4, 2.1-2.2, 3.2-3.3 of the textbook. The mean was 74%. Solutions are posted on eCampus.
• Practice homework, not to be turned in.
• Section 3.2, problems 11(a,b), 12(a-c), 14, 16(a,b).
• Section 3.3, problems 1(a-c), 2(a-c), 5, 8(a,c), 9(b), 10.
• Homework 3, due September 22.
• Read Sections 2.1, 2.2, 3.1, 3.2, 3.3.
• Section 2.1, problems 1*, 2*, 3, 4, 6*.
• Section 2.2, problems 1, 2*, 3, 4, 6*, 7.
• Section 3.2, problems 1(a,b), 2(a,b)*, 3(a,d), 4(a-c), 6(a-c).
• Homework 2, due September 15.
• Read Sections 1.3, 1.4, 2.1.
• Section 1.3, problems 1(a,c,e,g), 2, 4, 8(a,c), 9, 10(a,b), 11, 14.
• Section 1.4, problems 1*, 3*, 9, 12* (hint: multiply), 15* (hint: what is the definition of (A-1)-1?), 28.
• Homework 1, due September 8.
• Read Sections 1.1, 1.2, 1.3.
• Section 1.1, problems 1(a,c), 4, 7.
• Section 1.2, problems 1, 2(a,b,d), 3(a,b,d), 5(a,b,c,e,j), 8, 13, 14, 19*, 22(b)*.