Calculus
I
Text:
James Stewart, Calculus, 5th
edition, Brooks/Cole, 2003.
2.1 The Tangent and
Velocity Problems: 1, 6, 8
2.2 The Limit of a Function: 4, 13, 14, 19, 24
2.3 Calculating Limits
Using the Limit Laws:1e,f,10a,11,17, 23, 27, 36,
43,60
2.5 Continuity: 3, 5, 15, 23,
35, 41b
2.6 Tangents, Velocities,
and Other Rates of Change: 1,3,7,15,18,25
3.1 Derivatives: 7, 13, 15, 17, 21, 25, 29
3.2 The Derivative as a
Function: 5, 27, 36
3.3 Differentiation Formulas: (odd only) 1-41,51,53
3.4 Rates of change in the
Natural and Social Sciences: 1,3,15,21
3.5 Derivatives of Trigonometric Functions: (odd) 1-15
3.6 The Chain Rule: (odd)
1-41
3.7 Implicit
Differentiation: (odd) 1-19
3.8 Higher Derivatives: (odd) 5-19,23,25
Exam
I
3.9 Related Rates: (odd)
1-9
3.10 Linear Approximations and Differentials:5,7,21,23,25
4.1 Maximum and Minimum
Values: (odd) 7-25
4.2 The Mean Value Theorem: 19, 23, 27
4.3 How Derivatives Affect
the Shape of a Graph: 1, 11, 14, 23,
37, 49, 51
4.4 Limits at Infinity; Horizontal Asymptotes: 11, 13, 15, 21, 37, 51
4.5 Summary of Curve
Sketching: 5, 13, 45, 55
4.6 Graphing with Calculus and Calculators: 7, 13, 23
4.7 Optimization Problems:
1,3,5,9,11,15
4.8 Applications to Business and Economics:5,7,11,13,15
4.9
4.10 Antiderivatives: (odd) 1-35
5.1 Areas and distances:
1,2,5
5.2 The Definite Integral:37,47,49,53
Exam
II
5.3 The Fundamental Theorem of Calculus: (odd)
7-35
5.4 Indefinite Integrals and the total Change Theorem: (odd) 1-39
5.5 The Substitution Rule:
(odd) 7-31
6.1 Areas between Curves: (odd) 5-25
6.2 Volumes: 4-11,13,19,25,28,31,33,61
6.3 Volumes by Cylindrical Shells: (odd only) 3-5,9-13,15-19,21-25,35-39
6.4 Work:
5,7,9,11,13,15,16,17
6.5 Average Value of a Function: (odd only)
1-7,15
Exam
III