1. Pendahuluan 2. Fungsi dan Limit 3. Turunan 4. Penggunaan Turunan 5. Integral 6. Penggunaan Integral 7. Fungsi Transenden 8. Teknik Pengintegralan 9. Bentuk Tak Tentu dan Integral Tak Wajar 10. Metode Numerik, Hampiran
1 The Finite Dimensional problem , 1-22 2 The Basic Theory of the Calculus of Variations , 23-60 3 Additional Topics , 61-82 4 Optimal Control , 83-104 5 Unconstrained Reformulations , 105-128 6 Numerical Theory, Methods and Results , 129-190. Appendix A: Detailed References , 191-196 Appendix B: Uses of This Book , 197-198 Appendix C: Additional Problems , 199-210.
CHAPTER 0 PRELIMINARIES..1 0.1 Polynominals and Rational Functions..2 0.2 Graphing Calculators and Computer Algebra Systems..20 0.3 Inverse Functions..29 0.4 Trigonometric and Inverse Trigonometric Functions..36 0.5 Exponential and Logarithmic Functions..48 0.6 Transformations of Functions..61 CHAPTER 1 LIMITS AND CONTINUITY..73 1.1 A Brief Preview of Calculus: Tangent Lines and the L…
CHAPTER 0 PRELIMINARIES...1 CHAPTER 1 LIMITS AND CONTINUITY...73 CHAPTER 2 DIFFERENTIATION...145 CHAPTER 3 APPLICATIONS OF DIFFERENTIATION...241 CHAPTER 4 INTEGRATION...343 CHAPTER 5 APPLICATIONS OF THE DEFINITE INTEGRAL...431 CHAPTER 6 INTEGRATION TECHNIQUES...509 CHAPTER 7 FIRST-ORDER DIFFERENTIAL EQUATIONS...565 CHAPTER 8 INFINITE SERIES...611 CHAPTER 9 PARAMETRIC EQUATION…
1 Ordinary Differential Equations , 1-52 2 The Laplace Transform , 53-92 3 Numerical Methods for Solving Ordinary Differential Equations, 93-117 4 Series Solutions of Differential Equations : Special Functions , 118-185 5 Boundary Value Problems and Characteristic Function Representations , 186-268 6 Vector Analysis , 269-341 7 Topics in Higher Dimensional Calcu…
Pengertian, Sejarah, dan Penggolongan ilmu kalkulus dengan aplikasinya. Bagian/Session 1 : Pengerian, Sejarah, dan Penggolongan ilmu kalkulus Bagian/Session 2 : Pengertian Himpunan, Jenis himpunan, Operasi himpunan, Penggandaan himpunan serta Himpunan Bilangan. Bagian/Session 3 : Persamaan dan Pertidaksamaan satu variable, Persamaan dan pertidaksamaan dua vari…