Engineering Mathematics: A Series of Lectures Delivered at Union College, Volume 2

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McGraw-Hill book Company, Incorporated, 1917 - Engineering mathematics - 321 pages
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Contents

CHAPTER П THE POTENTIAL SERIES AND EXPONENTIAL
52
Use of series for approximation of small terms Instance
58
Solution of the general differential equation by means of the exponential function by the method of indeterminate coefficients 86
62
Instance of condenser discharge through resistance and induc tance Exponential solution and evaluation of constants 88
63
B DIFFERENTIAL EQUATIONS
64
Involution of solution Exponential function
70
Instance of condenser discharge through resistance
76
Relations between trigonometric functions and exponential func
83
trigonometric functions The oscillating functions
91
Explanation of tables of exponential functions
92
TRIGONOMETRIC SERIES A TRIGONOMETRIC FUNCTIONS 66 Definition of trigonometric functions on circle and right triangle
94
Sign of functions in different quadrants
95
Relations between sin cos tan and cot
97
Negative supplementary and complementary angles
98
тг H 70 Angles xn and I x 1
100
Relations between two angles and between angle and double angle
102
Differentiation and integration of trigonometric functions Definite integrals
103
The binomial relations
104
Trigonometric formulas of the triangle
105
Constant transient and periodic phenomena Univalent peri odic function represented by trigonometric series
106
Alternating sine waves and distorted waves
107
Evaluation of the Constants from Instantaneous Values Cal culation of constant term of series
108
Calculation of coscoefficients
110
Calculation of sincoefficients
113
Instance of calculating llth harmonic of generator wave
114
Discussion Instance of complete calculation of pulsating cur rent wave
116
Alternating waves as symmetrical waves Calculation of sym metrical wave
117

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