## Math 105 Fall, '98Assignments (Tentative & subject to change) Last updated:10/28/98

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 8/24
1.1 Discussion of model
1.1:1-5
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

Using a computer program,
Approximations
9/7 Labor Day
No Class Meeting
9/9 Begin Better Approximations for SIR. read 1.4
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
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!

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