TEXT: Calculus in Context by Callahan, Hoffman, et al.
| Week | Monday | Reading | Problems
due Wed. |
Wednesday | Reading | Problems due Mon. |
|---|---|---|---|---|---|---|
| 1 Modelling the spread of a disease | M.L.King Day |
|
|
1/21 1.1
Discussion of model |
read 1.1 | 1.1:1-5 |
| 2 Analyzing the model | 1/26
1.1 First analysis of model |
read 1.2 | 1.1:15, 16, 17, 18, 19 | 1/28 Backgrounds
1.2 Graphing, Technology, Linear functions,etc |
1.2:8,10,12, 11,14 | |
| 3
Using a computer program, Approximations |
2/2 Finish review. 1.3 Using tech. for SIR model.
1.3:1-6 |
1.3
Appendix A as appropriate for 1.3 (SIR) |
1.2:16,17,18, 21, 19, 23, 24, 25, 27 | 2/4 Breath, then Begin Better Approximations for SIR. | read 1.4
read 2.1 |
1.4: 6, 7 |
| 4 Euler's method | 2/9Euler's method
SIR estimates dt->0, h-> infinity |
1.4: 1-4
P'=.00005P P(0)=500,000 Est. P(3) with n=3, 30 |
2/11Begin Rates:
Also Logistic Model discussed with Euler |
Read 3.1
Read 3.2 |
3.1:1-6 | |
| 5 The Derivative | 2/16 Rates and the derivative. Finding and estimating rates for functions. | Read 3.2
Read 3.3 through p. 110 |
3.1:7
3.3: 2(a,c),6,14,17 |
2/18 More on the derivative: the microscope equation (local linearity),the global view of f', qualitative graphing of f' from the graph of f. | read 3.3
read 3.5 thru p. 130 |
3.3: 9a,10(a,c),13
3.5: 1, 5 |
| 6 | 2/23 The derivative of xp, with p = 2,3,-1 | 3.3 | 3.3: 6(a,b,e,g), 8(a,b,d),9 | 2/25 More derivatives, velocity, Leibniz notation. | 3.5 | 3.5:10,17,18,19 |
| 7 | 3/2 The Chain Rule | 3.6 | 3.6:1(a,e),2(a-d),4,8,10 | 3/4 Product and Quotient Rules | 5.1 | 5.1: 1(a-i), 2(a-j) |
| 8 | 3/9 Exponential functions. Differential equations. | 4.2(thru p181)
4.3(thru p204) |
4.2: 1(a,b),2, 4(a,b),5, 8
4.3: 3(a-e), 8 |
3/11 Logarithmic functions. | 4.4(thru p221) | 4.4:3, 4 |
| 9 | 3/16 No class-
spring break |
3/18 No class-
spring break |
||||
| 10 | 3/23 More on logs and exp, solving de's y'=f(t) | 4.4 (p 223-4)
4.5 |
4.4: 5, 7, 9,15, 16
4.5: 1-3 |
3/25 Slope fields Antiderivatives
(linearity rules) |
11.1(p 608-9,617bottom-8) | 4.5: 4, 5
11.1:10( 1st 6),14 |
| 11 | 3/30 Graphing features. Continuity,first derivative analysis, begin extrema | 5.3,5.4 | 5.3: 1,2, 3(a-c),4,5,7 | 4/1More on extremes | 5.4 | 5.3: 9-11,14
5.4: 2,3,5 |
| 12 | 4/6 Newton's method | 5.5 6.1 | 5.5: 2,5,6
6.1:1-3,6-8 |
4/8 More examples of extrema and Newton's Method | ||
| 13 [Exam II?] | 4/13Euler and reimann sums and the integral | 6.2 (p 308-314)
6.3 |
6.2:2,16-20 | 4/15The Fundamental Theorem | 6.4 | |
| 14 | 4/20 More on the Fundamental Theorem and the Definite Integral. | 4/22 Substitution.
Applications of the definite integral Average value. Begin Darts |
6.3:p328-333,335-339,
346-48, 351 6.4 11.1: p608-9,614-620 11.2:626-630 |
6.3:1,2,19,20
6.4:1,3,7, 10(a,d,e,f,h), 11(a,c,d,e,f), 12(a-c),13a 11.1:21(a,b),24,25,26 11.2: 1(a,c,d,n) |
||
| 15 | 4/27 More applications of the integral: Separation of variables | 11.4 | 11.2: 2(a-c,e)
11.4: 2(a-c) |
4/29 logistic growth. Estimates of Integrals,Trapezoid. Volume, probability. |
6.3 p339-346 11.6 Trapezoid rule p324-326 on Volume. p307 on work |
6.2:13
6.3:9 |
| 16 | 5/4 review application: implicit and logarithmic differentiation, related rates. | 5/6 Breath! |