Calculus for Scientists and Engineers, Single Variable Plus MyLab Math -- Access Card Package

Briggs/Cochran is the most successful new calculus series published in the last two decades. The authors’ years of teaching experience resulted in a text that reflects how students generally use a textbook: they start in the exercises and refer back to the narrative for help as needed. The text therefore builds from a foundation of meticulously crafted exercise sets, then draws students into the narrative through writing that reflects the voice of the instructor, examples that are stepped out and thoughtfully annotated, and figures that are designed to teach rather than simply supplement the narrative. The authors appeal to students’ geometric intuition to introduce fundamental concepts, laying a foundation for the rigorous development that follows. *This book covers chapters single variable topics (chapters 1–12) of Calculus for Scientists and Engineers, by the same authors.   0321844564 / 9780321844569 Calculus for Scientists and Engineers, Single Variable plus MyMathLab Student Access Kit Package consists of:    0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 032182671X / 9780321826718 Calculus for Scientists and Engineers, Single Variable  

Table of Contents:
1. Functions 1.1 Review of functions 1.2 Representing functions 1.3 Trigonometric functions and their inverses Review   2. Limits 2.1 The idea of limits 2.2 Definitions of limits 2.3 Techniques for computing limits 2.4 Infinite limits 2.5 Limits at infinity 2.6 Continuity 2.7 Precise definitions of limits Review   3. Derivatives 3.1 Introducing the derivative 3.2 Rules of differentiation 3.3 The product and quotient rules 3.4 Derivatives of trigonometric functions 3.5 Derivatives as rates of change 3.6 The Chain Rule 3.7 Implicit differentiation 3.8 Derivatives of inverse trigonometric functions 3.9 Related rates Review   4. Applications of the Derivative 4.1 Maxima and minima 4.2 What derivatives tell us 4.3 Graphing functions 4.4 Optimization problems 4.5 Linear approximation and differentials 4.6 Mean Value Theorem 4.7 L'Hôpital's Rule 4.8 Newton's method 4.9 Antiderivatives Review   5. Integration 5.1 Approximating areas under curves 5.2 Definite integrals 5.3 Fundamental Theorem of Calculus 5.4 Working with integrals 5.5 Substitution rule Review   6. Applications of Integration 6.1 Velocity and net change 6.2 Regions between curves 6.3 Volume by slicing 6.4 Volume by shells 6.5 Length of curves 6.6 Surface area 6.7 Physical applications 6.8 Hyperbolic functions Review   7. Logarithmic and Exponential Functions 7.1 Inverse functions 7.2 The natural logarithm and exponential functions 7.3 Logarithmic and exponential functions with general bases 7.4 Exponential models 7.5 Inverse trigonometric functions 7.6 L'Hôpital's rule and growth rates of functions Review   8. Integration Techniques 8.1 Basic approaches 8.2 Integration by parts 8.3 Trigonometric integrals 8.4 Trigonometric substitutions 8.5 Partial fractions 8.6 Other integration strategies 8.7 Numerical integration 8.8 Improper integrals Review   9. Differential Equations 9.1 Basic ideas 9.2 Direction fields and Euler's method 9.3 Separable differential equations 9.4 Special first-order differential equations 9.5 Modeling with differential equations Review   10. Sequences and Infinite Series 10.1 An overview 10.2 Sequences 10.3 Infinite series 10.4 The Divergence and Integral Tests 10.5 The Ratio, Root, and Comparison Tests 10.6 Alternating series Review   11. Power Series 11.1 Approximating functions with polynomials 11.2 Properties of power series 11.3 Taylor series 11.4 Working with Taylor series Review   12. Parametric and Polar Curves 12.1 Parametric equations 12.2 Polar coordinates 12.3 Calculus in polar coordinates 12.4 Conic sections Review