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Single-variable calculus is a fundamental mathematical framework essential for students across diverse fields—including the basic sciences, engineering, and economics—because it enables the precise modeling and understanding of dynamic systems. It introduces two indispensable tools: the derivative, which quantifies instantaneous rates of change, and the integral, which measures accumulation over time or space. These concepts form the foundation of nearly all quantitative disciplines.
To truly master the concepts and techniques of single-variable calculus, practice is paramount. "A Problem-Solving Approach to Single-Variable Calculus" is your essential guide, offering a comprehensive, two-volume set filled with plenty of meticulously solved, step-by-step problems designed to build your skills and deepen your understanding. This book empowers you to confidently tackle any single-variable calculus challenge, transforming them into triumphs.
• Includes a large number of solved problems, providing step-by-step explanations and solutions
• Integrates MATLAB® and Simulink® to complement traditional pen-and-paper methods
• Serves as a valuable supplement to core textbooks
List of contents
Mathematical Prerequisites.- Fundamentals of Trigonometry.- A Concise Review of Matrices and Linear Algebra.- Techniques for Solving Equations.- Complex Numbers.- Limits.- Derivative.- Applications of the Differentiation.- Partial Fraction Decomposition.- Indefinite Integrals.- Essentials of MATLAB®.- Curve Fitting in MATLAB.- Calculator Skills and Formula Writing in Microsoft® Word®.
About the author
Farzin Asadi received his B.Sc. in Electronics Engineering, his M.Sc. in Control Engineering, and his Ph.D. in Mechatronics Engineering. Currently, he is with the Department of Computer Engineering at the OSTIM Technical University in Ankara, Turkey. Dr. Asadi has published more than 40 international papers and 40 books. His research interests include switching converters, control theory, robust control of power electronics converters, and robotics.
Summary
Single-variable calculus is a fundamental mathematical framework essential for students across diverse fields—including the basic sciences, engineering, and economics—because it enables the precise modeling and understanding of dynamic systems. It introduces two indispensable tools: the derivative, which quantifies instantaneous rates of change, and the integral, which measures accumulation over time or space. These concepts form the foundation of nearly all quantitative disciplines.
To truly master the concepts and techniques of single-variable calculus, practice is paramount. "A Problem-Solving Approach to Single-Variable Calculus" is your essential guide, offering a comprehensive, two-volume set filled with plenty of meticulously solved, step-by-step problems designed to build your skills and deepen your understanding. This book empowers you to confidently tackle any single-variable calculus challenge, transforming them into triumphs.