TY  - BOOK
AU  - Ayres,Frank
AU  - Mendelson,Elliott
TI  - Schaum's outline of theory and problems of differential and integral calculus 
T2  - Schaum's outline series
SN  - 0070026629
U1  - 515 20
PY  - 1990///
CY  - New York
PB  - McGraw-Hill
KW  - Calculus
N1  - Cover title: Theory and problems of differential and integral calculus; Spine title: Calculus; Includes index; 1.	Linear coordinate systems 
2.	Absolute value 
3.	Inequalities 
4.	Rectangular coordinate systems 
5.	Lines 
6.	Circles 
7.	Equations and their graphs 
8.	Functions 
9.	Limits 
10.	Continuity 
11.	The derivative 
12.	Rules for differentiating functions 
13.	Implicit differentiation 
14.	Tangent and normal lines 
15.	Law of the mean 
16.	Increasing and decreasing functions 
17.	Maximum and minimum values 
18.	Curve sketching 
19.	Concavity 
20.	Symmetry 
21.	Review of trigonometry 
22.	Differentiation of trigonometric functions 
23.	Inverse trigonometric functions 
24.	Rectilinear and circular motion 
25.	Related rates 
26.	Differentials 
27.	Newton's method 
28.	Antiderivatives 
29.	The definite integral
30.	Area under a curve 
31.	The fundamental theorem of calculus 
32.	The natural logarithm 
33.	Exponential and logarithmic functions 
34.	L'hopital's rule 
35.	Exponential growth and decay
36.	Applications of integration i: area and arc length 
37.	Applications of integration ii: volume 
38.	Techniques of integration i: integration by parts 
39.	Techniques of integration ii: trigonometric integrands and trigonometric substitutions 
40.	Techniques of integration iii: integration by partial fractions 
41.	Miscellaneous substitutions 
42.	Improper integrals 
43.	Applications of integration ii: area of a surface of revolution 
44.	Parametric representation of curves 
45.	Curvature 
46.	Plane vectors 
47.	Curvilinear motion 
48.	Polar coordinates 
49.	Infinite sequences 
50.	Infinite series 
51.	Series with positive terms 
52.	The integral test 
53.	Comparison tests 
54.	Alternating series 
55.	Absolute and conditional convergence 
56.	The ratio test 
57.	Power series 
58.	Taylor and maclaurin series 
59.	Taylor's formual with remainder 
60.	Partial derivatives 
61.	Total differential 
62.	Differentiability 
63.	Chain rules 
64.	Space vectors 
65.	Surface and curves in space 
66.	Directional derivatives 
67.	Maximum and minimum values 
68.	Vector differentiation and integration 
69.	Double and iterated integrals 
70.	Centroids and moments of inertia of plane areas 
71.	Double integration applied to volume under a surface and the area of a curved surface 
72.	Triple integrals 
73.	Masses of variable density 
74.	Differential equations of first and second order

ER  -