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Engineering Mathematics
DIFFERENTIAL CALCULUS :
1 Partial Differentiation
2 Miscellaneous Applications
SOLID GEOMETRY :
3 Coordinates & Direction Cosines
4 The Plane
5 The Straight Line
6 The Sphere
7 The Cone, Cylinder & Surfaces of Revolution
8 Matrices
9 Integral Calculus
10 Integration by Substitution
11 Integration by Parts
12 Integration by Partial Fractions
13 Integration of Irrational Algebraic Functions
14 Integration of Trigonometric Functions
15 Reduction Formulas
16 Properties of Definite Integrals
17 Elements of Curve Tracing
18 Length of Plane Curves
19 Areas of Plane Curves
20 Volumes and Surfaces of Solids of Revolution
21 Simpsons' Rule, Mean Value, Root Mean Square Value
22 Multiple Integrals
23 Partial Differential Equations
24 Applications of Partial Differential Equations
25 Finite Differences & Numerical Methods
26 Statistics & Probability
Appendix: I Summary of Results from Elementary Mathematics
II Areas under the standard Normal Curve
Errata
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