Instructor's Resource Guide


Syllabus A


Semester I
(through single variable differentiation)
Day Material to be covered
1 1.1 Fundamentals of Modeling
2 1.2 Functions and Graphs
3 1.3 Constructed Functions
4 1.4 Linear Functions and Models
5 Test 1
6 2.1 Exponential Functions and Models
7  
8 2.2 Exponential Models in Finance
9 2.3 Polynomial Functions and Models
10 2.4 Choosing a Model
11 *8.1 and Appendix: Sine Functions as Models
12 Test 2
13 3.1 Average Rates of Change
14 3.2 Instantaneous Rates of Change
15 3.3 Tangent Lines
*8.2 Rates of Change and Sine Models
16 3.4 Derivatives
17  
18 3.5 Percentage Change and Percentage Rates of Change
19 Test 3
20 4.1 Numerically Finding Slopes
21  
22 Presentation 1 (a project from chapters 1, 2, or 3)
23  
24 4.2 Drawing Slope Graphs
25 4.3 Slope Formulas
26 *8.3 Derivatives of the Sine and Cosine
27 Test 4
28 4.4 The Sum Rule
29 4.5 The Chain Rule
30  
31 4.6 The Product Rule
32  
33 Test 5
34 5.1 Optimization
35 *8.4 Extrema and Points of Inflection
36 5.2 Inflection Points
37  
38 5.3 Approximating Change
39 Presentation 2 (a project from chapters 4 or 5)
40  
41 Review
42  
  Final Exam (cumulative)
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 Midpoint-Rectangle 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 Cross-Sectional 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)



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