College of Science
   Department of Mathematics  


 

   

Math 17300, Fall 2013

 

 

Assignment Sheet

Supplementary Problems

Ground Rules

Course Webpage

Additional Information

Exams

 

Homework assignments

#1. Due 8/29

Read: In §1.5, read from the beginning to p.38 (skip "Exponential growth and decay"); In §3.5, read the table on p.158; Read §3.6; In §1.6, read from the beginning to the end of Example 5; In §3.8, read from the beginning of the section to the end of Example 3; In §5.1, read pp.297–301.

 

Solve: 1.5, p.39 # 4, 14, 15; 3.6, p.167 # 35, 45, 49, 50, 52, 57, 63; §1.6, p.51 # 39(d), 43(c), 51; §3.6, p.168 # 62, 66, 74, 87(e); §3.8, p.184 # 29, 32, 40; §1.6, p.51 # 41(c), 53(b), 57; §3.6, p.168 # 78, 88(deg); §5.1, p.305 # 9(b), 11(b), 12(a).

 

#2. Due 9/5

Read: In §5.2, read from the beginning of the section to the end of Example 2; In §5.3, read the bottom of p.314 and items1–5 in the table on p.317; In §5.4, read “Fundamental Theorem, Part 1” on pp.326–327; In §5.4, read from the bottom of p.328 to the end of the section; Read §5.5, but skip Examples 6 and 10.

 

Solve: - §3.6, p.168 # 89, 90; §5.1, p.305 # 10(b), 12(b); §5.2, p.312 # 1, 2, 9, 10 (for # 9 and 10, explain why your answer is right).

§5.2, p.313 # 11, 12 (Write each of these sums in Sigma notation in three different ways); §5.3, p.322 # 10; Supplementary Problems: A; §5.3, p.322 # 13(b), 14(a); §5.4, p.333 # 20, 23, 39(ab), 40(ab), 57, 58; §5.4, p.334 # 59, 83(abc); §5.5, p.343 # 6, 20, 24, 29, 36, 40; Supplementary Problems: B

 

#3. Due 9/12

Read: Read §5.6; In §6.1, read from p.366 to the end of Example 8.

 

Solve: §5.4, p.335 # 83(de); §5.5, p.343 # 55, 71; §5.6, p.350 # 16, 17, 23, 57, 58, 59, 60, 64; §5.5, p.343 # 77, 78; §5.6, p.350 # 25, 28, 66, 67, 112; §6.1, p.372 # 15, 22, 29, 30.

 

#4. Due 9/19

Read: In §6.1, read from the beginning of the section to the end of Example 1, and also from p.369 to the end of the section; Read §6.2, but skip Example 3; In §6.3, read to the end of Example 4.

 

Solve: §5.6, p.350 # 32, 36; §5.6, p.353 # 113(b); §6.1, p.372 # 37, 41, 42, 44, 51(ad), 52(a), 53(c); §6.2, p.379 # 1, 2, 5, 6, 7, 9, 10, 11; §6.2, p.380 # 29(ab) (revolve only about the y-axis), 40; §6.3, p.386 # 1, 2, 10, 15, 17, 22.

 

#5. Due 10/3

Read: Read §6.5 to the end of Example 5, skip Example 2; Read §7.2, but skip separable differential equations; Optional reading in §7.1: from the beginning of the section to the middle of p.419; In §4.5, read to the end of Example 8; In §1.6, reread pp.40–43; In §7.4, read from the beginning of the section to the end of Example 1.

 

Solve: §6.3, p.386 # 16, 21; §6.5, p.398 # 1, 2(ab), 7, 8, 11, 13(a), 14(a), 12, 19, 21, 22; §7.2, p.434 # 25, 26, 30, 35, 27, 36; §4.5, p.261 # 14, 16, 19, 24, 25, 43, 45, 46, 21, 23, 76; §1.6, p.51 # 19, 22; §7.4, p.448 # 2(afh), 5(e), 7 (justify your answer).

 

#6. Due 10/11. Please note different day. This week only the recitation will be on Friday (instead of Thursday). Homework is due on Friday and the quiz will also be on Friday.

 

Read: In §1.6, read from the bottom of p.46 to the end of the section (but only read about the inverse sine, ignore the inverse cosine); Read §3.9 (but only read about the inverse sine and inverse tangent, IGNORE the inverse cosine, inverse cotangent, inverse secant, and inverse cosecant); In §8.1, read pp.454–457; Overview p.453; Read §8.2 (but skip Example 4); Read §8.3.

 

Solve: §1.6, p.52 # 65(abc), 68(ab); §3.8, p. 184 #7, 8, 9, 10; §3.9, p.191 # 9, 10, 12, 30, 34, 41; Supplementary Problems: C (1), (2), (3), (5); §8.1, p.459 # 3, 5, 6, 11, 12, 13, 14, 20, 22, 23 (do not use integral tables for any of these problems), 10, 29; §8.2, p.466 # 8, 17, 20, 22, 41, 45; Supplementary Problems: D; §8.1, p.459 # 25; §8.2, p.466 # 46; §8.3, p.470 # 2, 7, 8, 10, 17, 18, 23, 24 (do not use integral tables, except that for the integral of sec x).

 

#7. Due 10/17.

Read: In §8.4, read Examples 1, 9, 2, 3, 6, 7 (in that order). In §8.7, read from the beginning of the section to the end of Example 3.

 

Solve: §8.3, p.470 # 12, 26; §8.4, p.479 # 11, 12, 15, 16, 17, 20, 34. §8.3, p.470 # 25, 30; §8.4, p.479 # 10, 36; §8.7, p.505 # 11, 12, 13, 17; Supplementary Problems: E.

 

#8. Due 10/31.

Read: In §10.1, read from the beginning of the section to the top of p.552, and from the bottom of p.553 to the end of Example 6. In §10.2, read from the beginning of the section to the end of Example 4. Also read Examples 8, 9, 10. In §10.3, read to the end of Example 4 (including the proof of Theorem 9). In §10.4, read to the end of Example 2(b).

 

Solve: §8.4, p.479 # 14; §8.7, p.505 # 2; §10.1, p.559 # 4, 16, 20, 31, 32, 37, 39, 41; §10.1, p.559 # 38, 42, 45, 51; §10.2, p.569 # 2, 8, 9, 19, 20, 51; §10.1, p.55914 # 46, 52, 60; §10.2, p.569 # 14, 55, 90; Supplementary Problems: F; §10.2, p.570 # 93; §10.4, p.580 # 18, 22, 23, 26, 33.

 

#9. Due 11/14.

Read: In §10.5, read from the beginning of the section to the end of Example 1; In §10.6, read from the beginning of the section to the end of Example 5; you may skip Example 2; In §10.7, read from the beginning of the section to the end of Example 3; In §10.8, read from the beginning of the section to the end of Example 3.

 

Solve: §10.4, p.580 # 24, 34; §10.5, p.585 # 18, 19, 20, 21, 33, 34, 37; §10.6, p.591 # 2, 4, 10, 15, 17, 19, 23, 27, 49, 51; §10.7, p.600 # 6, 7, 11, 13, 19; §10.8, p.606 # 11, 13, 15.

 

#10. Due 11/21.

Read: In §10.9, read Example 4 and the paragraph before Example 5; In §10.10, read Examples 5 and 6 on pp.618–619; In §10.10, read about “Euler’s identity” from the bottom of p.619 to the end of the section; In §11.1, read from the beginning of the section to the end of Example 8 (the rest of the section is optional).

 

Solve: §10.7, p.600 # 27; §10.8, p.606 # 24; §10.9, p.613 # 12, 14, 15, 16; §10.10, p.621 # 29, 30, 32, 37 (use Taylor’s polynomials, not l’Hopital’s rule), 67(abc), 68, 72; §11.1, p.634 # 2, 6, 16, 8, 20(a), 22.

 

#11. Due 12/5.

Read:  In §11.2 read to the end of Example 5, but skip the second derivatives; §11.3; §11.4 (ignore the statements about symmetry), §11.5.

 

Solve: §11.1, p.634 # 14, 23; §11.2, p.643 # 4, 8 (do not compute the second derivative), 21, 26; §11.2, p.643 # 29, 30; §11.3, p.648 # 2, 6(deh), 16, 36, 38, 39; §11.2, p.643 # 22, 27; §11.3, p.649 # 49, 50; §11.4, p.652 # 4, 6 (do not discuss symmetry in # 4 and 6), 18, 19, 28; §11.4, p.652 # 10, 12, 20; §11.5, p.656 # 4, 5, 19, 25; Ch.11 Practice Exer., p.674 # 48, 53.

 

EXAM 1. Midterm 1 is on Wednesday, Sept. 18, in class. It will cover Lessons 1-9.

Practice problems

 

EXAM 2. Midterm 2 is on Wednesday, Oct. 16, in class. It will cover Lessons 10-21.

Practice problems

 

EXAM 3. Midterm 3 is on Wednesday, Nov. 6, in class. It will cover Lessons 22-28.

Practice problems

 

 

FINAL EXAM The final exam is on Monday, Dec. 9, 8-10 am, in BRWN 1154.

 

Practice problems