Math 151, Sections 13 and 74
Fall 2004

Schedule
Please also consult the Math 151 syllabus.
Week 
Date of Monday 
Topic/Section of book 
Suggested Homework 
Workshop 
Comment 
1 
Aug. 30 
Overview of calculus. Rapid review of precalculus. Chapter 1. 
p. 78 (Exercises): 13, 58, 1016, 17, 20, 22, 24, 25, 29 
None 
Rutgers classes start on Sept. 1. 
2 
Sept. 6 
Geometric definition of derivative. Limits. Sections 2.12 
p. 91: 3, 4, 5, 9; p. 102: 5, 6, 8, 9, 13, 17, 19, 27, 28, 31,
38 
1 
No classes Monday  Labor Day. 
3 
Sept. 13 
Precise definition of limits. Continuity. Sections 2.35 
p. 111: 14, 1924, 47, 57; p. 122: 3, 6, 20, 42; p. 133: 4,
15, 20, 25, 27, 51, 52, 61 
2 

4 
Sept. 20 
Limits at infinity. Precise definition of the
derivative. Sections 2.69 
p. 146: 4, 5, 11, 12, 1619, 2326, 39, 40;
p. 156: 5, 8, 11, 12, 15; p. 163: 3, 4, 11, 15, 16 (Hint:
crossmultiply, do not use the quotient rule); p. 173: 4,
6, 8, 10, 12, 22, 24, 26, 33, 34, 37, 47; 
3 

5 
Sept. 27 
Formulas for the derivative. Related rates.
Sections 3.14 
p. 191: 324 (sic), 33, 40, 46, 51, 53, 57;
p. 197: 312, 1922, 27, 41, 42;
p. 208: 8, 18, 25;
p. 216: 116, 29, 33, 35, 36, 39; 
4 
This weeks homework is unusually long. You should be able to
take derivatives in your sleep when you are done. 
6 
Oct. 4 
Chain rule. Derivatives of inverses. Implicit differentiation.
Sections 3.56, 3.8 
p. 224: 124, 46, 54, 66;
p. 233: 3, 9, 16, 29, 4148;
p. 249: 3, 4, 7, 8, 13, 15, 24, 25, 26, 32, 35, 38, 41;

5 
Midterm next week 
7 
Oct. 11 
Higher derivatives. Related rates.
Sections 3.78, 3.10 
p. 240: 1, 5, 8, 11, 19, 20, 39, 48, 51, 57;
p. 249: 28, 31, 49, 50;
p. 260: 1, 6, 14, 23, 24, 31; 
6 
Midterm on the 11th. Version
1,
2,
3. 
8 
Oct. 18 
Finding roots. l'Hospital's rule. Sections 3.11, 4.9, 4.4 
p. 267: 58, 10, 13, 32, 36;
p. 351: 58, 14, 29, 30, 31;
p. 313: 1, 2, 3, 7, 10, 15, 21, 22, 29, 36, 37, 38, 47, 53, 54, 68;

7 

9 
Oct. 25 
Minima and maxima. Mean Value Theorem. Sections 4.13 
p. 285: 1, 3, 11, 22, 27, 29, 34, 39, 46, 55, 61, 62, 65, 68, 78;
p. 295: 5, 10, 11, 14, 17, 22, 23, 24, 27, 36;
p. 304: 1, 5, 7, 11, 21, 22, 33, 36, 37, 45, 47, 64;

8 

10 
Nov. 1 
More curve sketching. Optimization problems. Sections 4.57 
p. 323: 118, 30, 35, 45, 48, 60;
p. 330: 7, 14, 15, 26, 27, 29;
p. 336: 2, 3, 9, 17, 22, 27, 33, 40, 56; 
8 again 

11 
Nov. 8 
Antiderivatives. Section 4.10 
p. 358: 3, 10, 12, 15, 25, 28, 35, 40, 48, 53, 55, 60, 63;

9 
Second midterm on the 11th. 
12 
Nov. 15 
Integrals. Sections 5.12, Appendix E. 
p. A38: 1, 6, 12, 14, 25, 30, 44;
p. 378: 4, 11, 18, 21;
p. 390: 3, 5, 12, 23, 33, 34, 37, 38, 48, 49, 53, 54;

10 

13 
Nov. 22 
Fundamental Theorem of Calculus. Section 5.3. 
p. 402: 2, 8, 11, 17, 18, 25, 30, 31, 35, 37, 62, 68;

11 
No classes WTh  Thanksgiving! 
14 
Nov. 29 
Net change and substitution. Sections 5.45. 
p. 411: 1, 2, 5, 7, 8, 10, 11, 18, 19, 22, 29, 30, 38, 47, 54, 55;
p. 420: 16, 10, 12, 19, 20, 21, 25, 32, 44, 51, 53, 58, 63, 66, 68;

12 

15 
Dec. 6 
Definition of the logarithm, Areas. Sections 5.6, 6.1. 
p. 429: 1, 3, 4, 5;
p. 442: 1, 2, 3, 4, 9, 14, 17, 18, 43, 44, 45;

Review 
The review problems are quite similar to the final exam.
Please email me with any typos you find in this version. 
16 
Dec. 13 
All questions answered. 
No homework. I will answer any question, excluding those on
religion, politics, or the final exam. 
No workshop. 
Monday is last day of class. 


