| Week | Monday | Reading | Problems
due Wed. |
Wednesday | Reading | Problems due Mon. |
|---|---|---|---|---|---|---|
| 1 Modelling the spread of a disease | 8/24
1.1 Discussion of model |
|
|
8/26
1.1 First analysis of model |
read 1.2 | 1.1:15, 16, 17, 18, 19 |
| 2 Analyzing the model | 8/31 Backgrounds
1.2 Graphing, Technology, Linear functions,etc |
1.2:8,10,12, 11,14 | 9/2 Finish review. 1.3 Using tech. for SIR model.
1.3:1-6 |
Appendix A as appropriate for 1.3 (SIR) | 1.2:16,17,18, 21, 19, 23, 24, 25, 27 | |
| 3
Using a computer program, Approximations |
9/7 Labor Day
No Class Meeting |
9/9 Begin Better Approximations for SIR. | read 1.4
read 2.1 |
1.4: 6, 7 | ||
| 4 Euler's method | 9/14 Euler'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 |
9/16 Begin Rates:
Also Logistic Model discussed with Euler |
Read 3.1
Read 3.2 |
3.1:1-6 | |
| 5 The Derivative | 9/21 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 |
9/23 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 | 9/28 The derivative of xp, with p = 2,3,-1 | 3.5 [Note corrected section] | 3.5 [Note corrected section] 6(a,b,e,g), 8(a,b,d),9 | 9/30More derivatives, velocity, Leibniz notation. | 3.5 | 3.5:10,17,18,19 |
| 7Derivative Calculus | 10/5 The Chain Rule | 3.6 | 3.6:1(a,e),2(a-d),4,8,10 | 10/7 Product and Quotient Rules | 5.1 | 5.1: 1(a-i), 2(a-j) |
| 8 Midterm(?) | 10/12 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 |
10/14
Logarithmic functions. |
4.4(thru p221) | 4.4:3, 4 |
| 9 Differential Equations | 10/19 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 |
10/21 Slope fields | ||
| 10 | 10/26More Slope fields. Antiderivatives
(linearity rules) |
11.1(p 608-9, 617bottom-8) | 10/28 Linearity for antiderivatives.
Graphing features. Continuity,first derivative analysis, begin extrema |
5.3,5.4 | 4.5: 4, 5
11.1:10( 1st 6),14 5.3: 1,2, 3(a-c),4,5,7 |
|
| 11Applications | 11/2 More on extremes | 5.4 | 5.3: 9-11,14
5.4: 2,3,5 |
11/4 More examples of extrema and Newton's Method | 5.5 6.1 | 5.5: 2,5,6
6.1:1-3,6-8 |
| 12 Integration | 11/9 Euler and reimann sums and the integral | 6.2 (p 308-314)
6.3 |
6.2:2,16-20 | 11/11 The Fundamental Theorem | 6.4 | |
| 13 | 11/16 More on the Fundamental Theorem and the Definite Integral. | 11/18 Substitution.
Applications of the definite integral Average value. |
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) |
||
| 14 | 11/23
NO CLASS Fall Break |
11/25
NO CLASS Fall Break |
||||
| 15 Applications of DE's and integration
Team Assignment |
11/30 More applications of the integral: Separation of variables Begin Darts |
11.4 | 11.2: 2(a-c,e)
11.4: 2(a-c) |
12/2 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 Review? | 12/7 review application: implicit and logarithmic differentiation, related rates. | 12/8 Breath! |