This introductory calculus course covers differentiation and integration of functions of one variable, with applications. Differentiation, Applications of Differentiation, Integration, Techniques of Integration,
Calculus and Advanced Functions Features The basic concepts of calculus and advanced functions are taught in a wide variety of practical contexts to accommodate students with diverse interests and goals. Each chapter begins with a modeling math problem illustrating real world examples of where calculus can be applied.
These lecture notes describe the Aubry-Mather-Theory within the calculus of variations. The text consists of the translated original lectures of Jьrgen Moser and a bibliographic appendix with comments on the current state of the art in this field of interest. Students will find a rapid introduction to the calculus of variations, leading to modern dynamical systems theory. Differential geometric applications are discussed, in particular billiards and minimal geodesics on the two-dimensional torus. Many exercises and open questions make this book a valuable resource for both teaching and research.
Outlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis. Reviews elementary and intermediate calculus and features discussions of elementary-point set theory, and properties of continuous functions.
When it comes to understanding one of your most intimidating courses--calculus--even good students can be confused. Intended primarily for the non-engineering calculus student (though the more serious calculus student will also benefit), Calculus for the Utterly Confused is your ticket to success. Calculus concepts are explained and applied in such diverse fields as business, medicine, finance, economics, chemistry, sociology, physics, and health and environmental sciences. The message of Calculus for the Utterly Confused is simple: You donOt have to be confused anymore. With the wealth of expert advice from the authors who have taught many, many confused students, youOll discover a newer, fresher, clearer way to look at calculus. DonOt wait another minute--get on the road to higher grades and greater confidence, and go from utterly confused to totally prepared in no time!
