TY - BOOK AU - Kochman,Stanley O. TI - Single variable calculus T2 - Always learning SN - 9781256297598 U1 - 515 23 CY - DON mills, Ontario PB - Addison Wesley KW - Calculus KW - Textbooks KW - Variables (Mathematics) N1 - CONTENT Preliminaries 1. Limits AND Continuity 1.1 Example's of velocity 1.2 Limits of functions 1.3 Limits at infinity and infinite limits etc... 2. Differentiation 2.1 Tangent lines and their slopes 2.2 The derivative 2.3 Differentiation rules etc... 3. Transcendental functions 3.1 Inverse functions 3.2 Exponential and logarithmic functions 3.3 The natural logarithm and exponential etc... 4. Some Applications of derivatives 4.1 Related rates 4.2 Extreme values 4.3 Concavity and inflection etc... 5. Integration 5.1 Sums and sigma notation 5.2 Areas as limits of sums 5.3 The definite integral etc... 6. Techniques of integration 6.1 Integration by parts 6.2 Inverse substitution 6.3 Integrals of rational functions etc... 7. Applications of integration 7.1 Volumes of solids of revolution 7.2 Other volumes by slicing 7.3 Arc length and surface area etc... 8. Conics, parametric curves, and polar curves 8.1 Conics 8.2 Parametric curves 8.3 Smooth parametric curves and their slopes etc... 9. Sequences, series and power series 9.1 Sequences and convergence 9.2 Infinite series 9.3 Convergence tests for positive series etc... Appendices; Includes index ER -