Soal Dan Pembahasan Kalkulus 2 Pdf
Oct 1, 2017 - You might also like: Kalkulus edisi 9: Purcell, Varberg, Rigdon Soal Uji Coba UN Tahun 2013/2014 Soal Olympiade SMA Kabupaten 2017. PEMBAHASAN SOAL UTS KALKULUS II Arini Soesatyo Putri JANUARY 29, 2016 UNIVERSITAS ISLAM NEGERI SUNAN GUNUNG DJATI BANDUNG Pembahasan Soal UTS Kalkulus 2 Tahun Ajaran 2013/2014 Dosen: Bu Siti Julaeha, M.Si 1.
Chapter 1
Functions
| 1.1 | Functions and Their Graphs | Exercises | p.11 |
| 1.2 | Combining Functions: Shifting and Scaling Graphs | Exercises | p.19 |
| 1.3 | Trigonometric Functions | Exercises | p.28 |
| 1.4 | Graphing with Calculators and Computers | Exercises | p.34 |
| Questions to Guide Your Review | p.34 | ||
| Practice Exercises | p.35 | ||
| Additional and Advanced Exercises | p.37 |
Chapter 2
Limits And Continuity
| 2.1 | Rates of Change and Tangents to Curves | Exercises | p.44 |
| 2.2 | Limit of a Function and Limit Laws | Exercises | p.54 |
| 2.3 | The Precise Definition of a Limit | Exercises | p.63 |
| 2.4 | One-Sided Limits | Exercises | p.71 |
| 2.5 | Continuity | Exercises | p.82 |
| 2.6 | Limits Involving Infinity; Asymptotes of Graphs | Exercises | p.94 |
| Questions to Guide Your Review | p.96 | ||
| Practice Exercises | p.97 | ||
| Additional and Advanced Exercises | p.98 |
Chapter 3
Differentiation
| 3.1 | Tangents and the Derivative at a Point | Exercises | p.105 |
| 3.2 | The Derivative as a Function | Exercises | p.112 |
| 3.3 | Differentiation Rules | Exercises | p.122 |
| 3.4 | The Derivative as a Rate of Change | Exercises | p.132 |
| 3.5 | Derivatives of Trigonometric Functions | Exercises | p.139 |
| 3.6 | The Chain Rule | Exercises | p.147 |
| 3.7 | Implicit Differentiation | Exercises | p.153 |
| 3.8 | Related Rates | Exercises | p.160 |
| 3.9 | Linearization and Differentials | Exercises | p.173 |
| Questions to Guide Your Review | p.175 | ||
| Practice Exercises | p.176 | ||
| Additional and Advanced Exercises | p.180 |
Chapter 4
Applications Of Derivatives
| 4.1 | Extreme Values of Functions | Exercises | p.189 |
| 4.2 | The Mean Value Theorem | Exercises | p.196 |
| 4.3 | Monotonic Functions and the First Derivative Test | Exercises | p.201 |
| 4.4 | Concavity and Curve Sketching | Exercises | p.211 |
| 4.5 | Applied Optimization | Exercises | p.219 |
| 4.6 | Newton's Method | Exercises | p.228 |
| 4.7 | Antiderivatives | Exercises | p.236 |
| Questions to Guide Your Review | p.239 | ||
| Practice Exercises | p.240 | ||
| Additional and Advanced Exercises | p.243 |
Chapter 5
Integration
| 5.1 | Area and Estimating with Finite Sums | Exercises | p.253 |
| 5.2 | Sigma Notation and Limits of Finite Sums | Exercises | p.261 |
| 5.3 | The Definite Integral | Exercises | p.270 |
| 5.4 | The Fundamental Theorem of Calculus | Exercises | p.282 |
| 5.5 | Indefinite Integrals and the Substitution Method | Exercises | p.290 |
| 5.6 | Substitution and Area Between Curves | Exercises | p.297 |
| Questions to Guide Your Review | p.300 | ||
| Practice Exercises | p.301 | ||
| Additional and Advanced Exercises | p.304 |
Chapter 6
Applications Of Definite Integrals
| 6.1 | Volumes Using Cross-Sections | Exercises | p.316 |
| 6.2 | Volumes Using Cylindrical Shells | Exercises | p.324 |
| 6.3 | Arc Length | Exercises | p.330 |
| 6.4 | Areas of Surfaces of Revolution | Exercises | p.335 |
| 6.5 | Work and Fluid Forces | Exercises | p.342 |
| 6.6 | Moments and Centers of Mass | Exercises | p.355 |
| Questions to Guide Your Review | p.357 | ||
| Practice Exercises | p.357 | ||
| Additional and Advanced Exercises | p.359 |
Chapter 7
Transcendental Functions
| 7.1 | Inverse Functions and Their Derivatives | Exercises | p.367 |
| 7.2 | Natural Logarithms | Exercises | p.375 |
| 7.3 | Exponential Functoins | Exercises | p.385 |
| 7.4 | Exponential Change and Separable Differential Equations | Exercises | p.394 |
| 7.5 | Indeterminate Forms and L'Hopital's Rule | Exercises | p.402 |
| 7.6 | Inverse Trigonometric Functions | Exercises | p.413 |
| 7.7 | Hyperbolic Functions | Exercises | p.421 |
| 7.8 | Relative Rates of Growth | Exercises | p.428 |
| Questions to Guide Your Review | p.429 | ||
| Practice Exercises | p.430 | ||
| Additional and Advanced Exercises | p.433 |
Chapter 8
Techniques Of Integration
| 8.1 | Integration by Parts | Exercises | p.441 |
| 8.2 | Trigonometric Integrals | Exercises | p.448 |
| 8.3 | Trigonometric Substitutions | Exercises | p.452 |
| 8.4 | Integration of Rational Functions by Partial Fractions | Exercises | p.461 |
| 8.5 | Integral Tables and Computer Algebra Systems | Exercises | p.467 |
| 8.6 | Numerical Integration | Exercises | p.475 |
| 8.7 | Improper Integrals | Exercises | p.487 |
| Questions to Guide Your Review | p.489 | ||
| Practice Exercises | p.489 | ||
| Additional and Advanced Exercises | p.491 |
Chapter 9
First-Order Differential Equations
| 9.1 | Solutions, Slope Fields, and Euler's Method | Exercises | p.502 |
| 9.2 | First-Order Linear Equations | Exercises | p.508 |
| 9.3 | Applications | Exercises | p.515 |
| 9.4 | Graphical Solutions of Autonomous Equations | Exercises | p.522 |
| 9.5 | Systems of Equations and Phase Planes | Exercises | p.527 |
| Questions to Guide Your Review | p.529 | ||
| Practice Exercises | p.529 | ||
| Additional and Advanced Exercises | p.530 |
Chapter 10
Infinite Sequences And Series
| 10.1 | Sequences | Exercises | p.541 |
| 10.2 | Infinite Series | Exercises | p.551 |
| 10.3 | The Integral Test | Exercises | p.557 |
| 10.4 | Comparison Tests | Exercises | p.562 |
| 10.5 | The Ratio and Root Tests | Exercises | p.567 |
| 10.6 | Alternating Series, Absolute and Conditional Convergence | Exercises | p.573 |
| 10.7 | Power Series | Exercises | p.582 |
| 10.8 | Taylor and Maclaurin Series | Exercises | p.588 |
| 10.9 | Convergence of Taylor Series | Exercises | p.595 |
| 10.10 | The Binomial Series and Applications of Taylor Series | Exercises | p.602 |
| Questions to Guide Your Review | p.605 | ||
| Practice Exercises | p.605 | ||
| Additional and Advanced Exercises | p.607 |
Chapter 11
Parametric Equations And Polar Coordinates
| 11.1 | Parametrizations of Plane Curves | Exercises | p.616 |
| 11.2 | Calculus with Parametric Curves | Exercises | p.625 |
| 11.3 | Polar Coordinates | Exercises | p.630 |
| 11.4 | Graphing in Polar Coordinates | Exercises | p.634 |
| 11.5 | Areas and Lengths in Polar Coordinates | Exercises | p.638 |
| 11.6 | Conic Sections | Exercises | p.645 |
| 11.7 | Conics in Polar Coordinates | Exercises | p.653 |
| Questions to Guide Your Review | p.654 | ||
| Practice Exercises | p.655 | ||
| Additional and Advanced Exercises | p.657 |
Chapter 12
Vectors And The Geometry Of Space
| 12.1 | Three-Dimensional Coordinate Systems | Exercises | p.663 |
| 12.2 | Vectors | Exercises | p.672 |
| 12.3 | The Dot Product | Exercises | p.680 |
| 12.4 | The Cross Product | Exercises | p.686 |
| 12.5 | Lines and Plans in Space | Exercises | p.694 |
| 12.6 | Cylinders and Quadric Surfaces | Exercises | p.700 |
| Questions to Guide Your Review | p.701 | ||
| Practice Exercises | p.702 | ||
| Additional and Advanced Exercises | p.704 |
Chapter 13
Vector-Valued Functions And Motion In Space
| 13.1 | Curves in Space and Their Tangents | Exercises | p.713 |
| 13.2 | Integrals of Vector Functions; Projectile Motion | Exercises | p.720 |
| 13.3 | Arc Length in Space | Exercises | p.727 |
| 13.4 | Curvature and Normal Vectors of a Curve | Exercises | p.733 |
| 13.5 | Tangential and Normal Components of Acceleration | Exercises | p.738 |
| 13.6 | Velocity and Acceleration in Polar Coordinates | Exercises | p.742 |
| Questions to Guide Your Review | p.742 | ||
| Practice Exercises | p.743 | ||
| Additional and Advanced Exercises | p.745 |
Chapter 14
Partial Derivatives
| 14.1 | Functions of Several Variables | Exercises | p.753 |
| 14.2 | Limits and Continuity in Higher Dimensions | Exercises | p.761 |
| 14.3 | Partial Derivatives | Exercises | p.772 |
| 14.4 | The Chain Rule | Exercises | p.782 |
| 14.5 | Directional Derivatives and Gradient Vectors | Exercises | p.790 |
| 14.6 | Tangent Planes and Differentials | Exercises | p.799 |
| 14.7 | Extreme Values and Saddle Points | Exercises | p.808 |
| 14.8 | Lagrange Multipliers | Exercises | p.818 |
| 14.9 | Taylor's Formula for Two Variables | Exercises | p.824 |
| 14.10 | Partial Derivatives with Constrained Variables | Exercises | p.828 |
| Questions to Guide Your Review | p.829 | ||
| Practice Exercises | p.829 | ||
| Additional and Advanced Exercises | p.833 |
Chapter 15
Multiple Integrals
| 15.1 | Double and Iterated Integrals over Rectangles | Exercises | p.840 |
| 15.2 | Double Integrals over General Regions | Exercises | p.847 |
| 15.3 | Area by Double Integration | Exercises | p.852 |
| 15.4 | Double Integrals in Polar Form | Exercises | p.857 |
| 15.5 | Triple Integrals in Rectangular Coordinates | Exercises | p.865 |
| 15.6 | Moments and Centers of Mass | Exercises | p.873 |
| 15.7 | Triple Integrals in Cylindrical and Spherical Coordinates | Exercises | p.883 |
| 15.8 | Substitutions in Multiple Integrals | Exercises | p.894 |
| Questions to Guide Your Review | p.896 | ||
| Practice Exercises | p.896 | ||
| Additional and Advanced Exercises | p.898 |
Chapter 16
Integration In Vector Fields
| 16.1 | Line Integrals | Exercises | p.906 |
| 16.2 | Vector Fields and Line Integrals: Work, Circulation and Flux | Exercises | p.917 |
| 16.3 | Path Independence, Conservative Fields, and Potentials Functions | Exercises | p.929 |
| 16.4 | Green's Theorem in the Plane | Exercises | p.940 |
| 16.5 | Surfaces and Area | Exercises | p.951 |
| 16.6 | Surface Integrals | Exercises | p.960 |
| 16.7 | Stoke's Theorem | Exercises | p.970 |
| 16.8 | The Divergence Theorem and a Unified Theory | Exercises | p.981 |
| Questions to Guide Your Review | p.983 | ||
| Practice Exercises | p.983 | ||
| Additional and Advanced Exercises | p.986 |
Chapter 17
Second-Order Differential Equations
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