Semester II
(single variable integration through multivariable differentiation)

Day

Material to be covered

1 
Review of Semester I 
2 

3 

4 

5 
Test 1 
6 
6.1 Results of Change 
7 
6.2 Trapezoid and MidpointRectangle Approximations 
8 
6.3 The Definite Integral as a Limit of Sums 
9 
6.4 Accumulation Functions 
10 
6.5 The Fundamental Theorem of Calculus 
11 

12 
6.6 The Definite Integral 
13 
*8.5 Accumulation in Cycles 
14 
Test 2 
15 
7.1 Differences of Accumulated Changes 
16 
7.2 Perpetual Accumulation 
17 
7.3 Streams in Business and Biology 
18 
7.4 Integrals in Economics 
19 

20 
Presentation 1 (a project from chapters 6, 7, or 8) 
21 

22 
7.5 Average Value and Average Rates of Change 
23 
7.6 Probability Distributions and Density Functions 
24 

25 
Test 3 
26 
9.1 CrossSectional Models and Multivariable Functions 
27 
9.2 Contour Graphs 
28 

29 
9.3 Partial Rates of Change 
30 

31 
9.4 Compensating for Change 
32 
Test 4 
33 
10.1 Multivariable Critical Points 
34 

35 
10.2 Multivariable Optimization 
36 

37 
10.3 Least Squares Optimization 
38 
Test 5 
39 
Presentation 2 (a project from chapters 9 or 10) 
40 

41 
Review 
42 


Final Exam (cumulative) 