Thomas Calculus PDF Free Download for Bachelor’s Degree
Thomas Calculas Helping Material for Bachelor’s Degree PDF Free Download
Course Contents for Thomas Calculus Recommended by HEC
This Outline Content depends Upon University Course:
Complex Numbers, DeMoivre’s Theorem and its Applications, Simple Cartesian Curves, Functions and Graphs, Symmetrical Properties, Curve Tracing, Limit and Continuity, Differentiation of Functions. Derivative as Slope of Tangent to a Curve and as Rate of Change, Application to Tangent and Normal, Linearization, Maxima/Minima and Point of Inflexion, Taylor and Maclaurin Expansions and their convergence; Integral as Anti-derivative, Indefinite Integration of Simple Functions. Methods of Integration
The concepts of efficiency, reliability and accuracy of a method; Minimizing computational errors; Theory of Differences, Difference Operators, Difference Tables, Forward Differences, Backward Differences and Central Differences. Mathematical Preliminaries, Solution of Equations in one variable, Interpolation and Polynomial Approximation, Numerical Differentiation and Numerical Integration, Initial Value Problems for Ordinary Differential Equations, Direct Methods for Solving Linear Systems, Iterative Techniques in Matrix Algebra, Solution of non-linear equations.
Functions of Several Variables and Partial Differentiation. Multiple Integrals, Line and Surface Integrals. Green’s and Stoke’s Theorem. Fourier Series: periodic functions, Functions of any period P-2L, Even & odd functions, Half Range expansions, Fourier Transform; Laplace Transform, Z-Transform.
Reference Materials Recommended By HEC
1. Calculus and Analytical Geometry, Swokowski Olinick. Pence. 1994. 6th
edition. Brooks/Cole Publishers. 2. Calculus, 7
th edition.2002. John Wiley and Sons (WIE).
3. Calculus, William, E. Boyce .Richard, C. Diprima. John Wiley & Sons, ISBN:
4. Calculus and Analytical Geometry 10th edition. Thomas, F. John Wiley and
5. Advanced Engineering Mathematics, 7
th edition. Erwin, K. 1993. John
Wiley & Sons Inc.
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