Semester II
(sine models, multivariable calculus, and differential equations)

Day

Material to be covered

1 
Review of Chapters 1 through 6 
2 

3 

4 

5 
Test 1 
6 
Review of Sections 7.1, 7.2, and 7.4 
7 

8 
7.3 Streams in Business and Biology 
9 
7.5 Average Value and Average Rates of Change 
10 
7.6 Probability Distributions and Density Functions 
11 

12 
Test 2 
13 
Appendix: Trigonometry 
14 
8.1 Sine Functions as Models 
15 
8.2 Rates of Change and Sine Models 
16 

17 
8.3 Derivatives of the Sine and Cosine 
18 
8.4 Extrema and Points of Inflection 
19 
8.5 Accumulation in Cycles 
20 

21 
Test 3 
22 
9.1 CrossSectional Models and Multivariable Functions 
23 
9.2 Contour Graphs 
24 

25 
9.3 Partial Rates of Change 
26 

27 
9.4 Compensating for Change 
28 

29 
Test 4 
30 
10.1 Multivariable Critical Points 
31 

32 
10.2 Multivariable Optimization 
33 

34 
10.3 Least Squares Optimization 
35 
Test 5 
36 
11.1 Differential Equations and Accumulation Functions 
37 
11.2 Separable Differential Equations 
38 

39 
11.3 SecondOrder Differential Equations 
40 

41 
Review 
42 


Final Exam (cumulative) 