| Section | Subject | Problems |
| 1.2 | Coordinates | 1,13,15,16 |
| 1.4 | Slope of a line | 1, 17, 18 |
| 1.5 | Equation of Straight lines | 10,11,15,19, 26, 27 |
| 1.6 | Functions and graphs | 2, 10, 11, 17, 21, 28, 39, 49, 51 |
| 1.7 | Slope of a curve | 1,2,12,13, 16 |
| 1.8 | Derivative of a function | 1,2,3,6,8,12, 14, 22, 23, 24 |
| 1.9 | Velocities and rates | 1 (see Pblm12, § 1.8), 2, 8, 13-17, 19, 20 |
| 1.10 | Limits | 1,2,4,6,7,9,12,15,16,17,18 |
| 2.2 | Derivatives of polynomials | 1,3,10,16,18,20,25,27 |
| 2.3 | Product and Quotient rules | 2,3,6,7,8,9,14 |
| 2.4 | Inverse functions | 1,2,3,4 |
| 2.5 | Implicit Functions | 1,2,7,8,19,30, 36 |
| 2.8 | Chain rule | 1,6, 8, 9 |
| 2.9 | Trigonometry review | Your choice: trig is a prereq for 221 |
| 2.10 | Derivatives of sin, cos and tan | 1,2,3,7,18,23,25,29,33,35,40 |
| 2.6 | increments | 6,7,8 |
| 3.1 | Sign of 1st derivative | 2,6,8,9 |
| 3.2 | Related rates | 1-5,7,8,9,11,12,15 |
| 3.3-3.4 | Sign of 2nd derivative, curve sketching | 1,2,3,5,7,8,18,19,21,24 (x(1+x)-3 in class) |
| 3.5-3.6 | Maxima and Minima | 1-5,7,14,15,24,26,34 |
| 3.7 | Rolle's Theorem | 1,4,5 (2, 3, x tan x =1 done in class) |
| 3.8 | Mean Value Theorem | 1,4,8,9 |
| 3.9 | l'Hôpital's rule | 1,2,5,8,10,13. Solve each problem two ways. |
| 3.10 | Taylor's formula | Extra problems (posted 10/19/2001) |
| 4.2 | Indefinite integral and differential equations | 1,2,3,6,9,10,14,15,16,18,20,24,25 |
| 4.3 | Applications of indefinite integration | 1,3,5,6, 7,8,12,13,14,17 Optional challenge problem: |
| 4.4 | Integration of sines and cosines | 1-4,6,8-10,12,25 |
| 4.5 | Area under a curve | all problems |
| 4.6 | Areas as limits | 3,6 |
| 4.7 | Areas by calculus | 1-4,9,10,12-17 |
| 4.8 | Definite integral and the Fundamental Theorem of Calculus |
1-15, 18-24 |
| 4.9 | Approximating integrals | 10-12 |
| 5.2 | Area between curves | 6--9,11 |
| 5.3 | Distance and Velocity | 1,4,6,7,9,11,13 |
| 5.4 | Volumes by slices | 1,2,11 (with letters),12,15,18 |
| 5.5 | Shells and Washers | 1,3,6,8,10,11,12 |
| (5.7) | Circle by polygons | Estimate the length of a circle by using (1) Inscribed polygons with 3,6,12,24,... sides (2) Circumscribed polygons with 3,6,12,24,... sides You cannot use sine, cosine or Pi! use sqrt only |
| 6.1 | Trig functions review | 9,33,34,38,40,45,46,47,49,50,51 |
| 6.2 | The inverse trig functions | 1,2,3,8(abcd)(without calculator!!); 6,9 On your graphing calculator look at the graph of y=sin-1(sinx) for 0< x< 2 Pi Explain. |
| 6.3 | Derivatives of inverse trig functions. | 5,6,8,10,15, 16,17,18,20 |
| 6.4 | Natural log | 2, 3, 5, 6, 7 |
| 6.5 | Derivative of ln(x) | 1, 2, 3, 7, 9, 18, 19, 23, 25, 28, 29, 31, 32, 34bc |
| 6.6 | Graph of ln(x) | 4 |
| 6.11 | Compound interest; Continuous compounding: the Diff Eq dA/dt = r A ; Inverse ln : exp(x) |
1, 6 + Miscellaneous problems 58, 60. Extra problems |
| 6.8 | Exponential | 1abcdijmn, 5, 6, 8, 17, 18, 20, 21, 23, 24, 27, 28, 31, 32, 35, 38, 39, 40. |
| 6.9 | ax | 5, 8, 11, 15, 16 |
| 6.10 | loga x | 1a, 2a, 5, 7 |
Probably NO More will be posted later!!