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Full Description
Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises.
The approaches taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additionally, the material presented is intentionally non-specific to any software or hardware platform in order to accommodate the wide variety and rapid evolution of tools used. Technology is referenced in the text and is required for a good number of problems.
Contents
Preface.- 1. Points and Vectors.- 2. Limits and Derivatives.- 3. More on Limits.- 4. Rules for Finding Derivatives.- 5. Applications of Limits and Derivatives.- 6. Integration.- 7. The Cross Product.- 8. More Techniques of Integration.- 9. Applications of Integration.- 10. Series.- Index.
