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KCP - Calculus Concepts and Applications c2005
Mathematics - Grade 11

	CHAPTER					KCP.1.	Chapter 1: Limits, Derivatives, Integrals, and Integrals
		SECTION				KCP.1-1.	Ch 1 Sec 1: The Concept of Instantaneous Rate (pp. 3 - 5) materials correlated to this standard →
		SECTION				KCP.1-2.	Ch 1 Sec 2: Rate of Change by Equation, Graph, or Table (pp. 6 - 14) materials correlated to this standard →
		SECTION				KCP.1-3.	Ch 1 Sec 3: One Type of Integral of a Function (pp. 14 - 18) materials correlated to this standard →
		SECTION				KCP.1-4.	Ch 1 Sec 4: Definite Integrals by Trapezoids, from Equations and Data (pp. 18 - 24) materials correlated to this standard →
	CHAPTER					KCP.2.	Chapter 2: Properties of Limits
		SECTION				KCP.2-1.	Ch 2 Sec 1: Numerical Approach to the Definition of Limit (pp. 33) materials correlated to this standard →
		SECTION				KCP.2-2.	Ch 2 Sec 2: Graphical and Algebraic Approaches to the Definition of Limit (pp. 34 - 39) materials correlated to this standard →
		SECTION				KCP.2-3.	Ch 2 Sec 3: The Limit Theorems (pp. 40 - 45) materials correlated to this standard →
		SECTION				KCP.2-4.	Ch 2 Sec 4: Continuity and Discontinuity (pp. 45 - 52) materials correlated to this standard →
		SECTION				KCP.2-5.	Ch 2 Sec 5: Limits Involving Infinity (pp. 52 - 59) materials correlated to this standard →
		SECTION				KCP.2-6.	Ch 2 Sec 6: The Intermediate Value Theorem and Its Consequences (pp. 60 - 63) materials correlated to this standard →
	CHAPTER					KCP.3.	Chapter 3: Derivatives, Antiderivatives, and Indefinite Integrals
		SECTION				KCP.3-1.	Ch 3 Sec 1: Graphical Interpretation of Derivative (pp. 73) materials correlated to this standard →
		SECTION				KCP.3-2.	Ch 3 Sec 2: Difference Quotients and One Definition of Derivative (pp. 74 - 78) materials correlated to this standard →
		SECTION				KCP.3-3.	Ch 3 Sec 3: Derivative Functions, Numerically and Graphically (pp. 78 - 84) materials correlated to this standard →
		SECTION				KCP.3-4.	Ch 3 Sec 4: Derivative of the Power Function and Another Definition of Derivative (pp. 85 - 92) materials correlated to this standard →
		SECTION				KCP.3-5.	Ch 3 Sec 5: Displacement, Velocity, and Acceleration (pp. 92 - 100) materials correlated to this standard →
		SECTION				KCP.3-6.	Ch 3 Sec 6: Introduction to Sine, Cosine, and Composite Functions (pp. 100 - 102) materials correlated to this standard →
		SECTION				KCP.3-7.	Ch 3 Sec 7: Derivatives of Composite Functions-The Chain Rule (pp. 102 - 106) materials correlated to this standard →
		SECTION				KCP.3-8.	Ch 3 Sec 8: Proof and Application of Sine and Cosine Derivatives (pp. 107 - 114) materials correlated to this standard →
		SECTION				KCP.3-9.	Ch 3 Sec 9: Exponential and Logarithmic Functions (pp. 115 - 122) materials correlated to this standard →
	CHAPTER					KCP.4.	Chapter 4: Products, Quotients, and Parametric Functions
		SECTION				KCP.4-1.	Ch 4 Sec 1: Combinations of Two Functions (pp. 131) materials correlated to this standard →
		SECTION				KCP.4-2.	Ch 4 Sec 2: Derivative of a Product of Two Functions (pp. 132 - 137) materials correlated to this standard →
		SECTION				KCP.4-3.	Ch 4 Sec 3: Derivative of a Quotient of Two Functions (pp. 137 - 142) materials correlated to this standard →
		SECTION				KCP.4-4.	Ch 4 Sec 4: Derivatives of the Other Trigonometric Functions (pp. 142 - 146) materials correlated to this standard →
		SECTION				KCP.4-5.	Ch 4 Sec 5: Derivatives of Inverse Trigonometric Functions (pp. 146 - 153) materials correlated to this standard →
		SECTION				KCP.4-6.	Ch 4 Sec 6: Differentiability and Continuity (pp. 153 - 160) materials correlated to this standard →
		SECTION				KCP.4-7.	Ch 4 Sec 7: Derivatives of a Parametric Function (pp. 160 - 169) materials correlated to this standard →
		SECTION				KCP.4-8.	Ch 4 Sec 8: Graphs and Derivatives of Implicit Relations (pp. 169 - 174) materials correlated to this standard →
		SECTION				KCP.4-9.	Ch 4 Sec 9: Related Rates (pp. 174 - 179) materials correlated to this standard →
	CHAPTER					KCP.5.	Chapter 5: Definite and Indefinite Integrals
		SECTION				KCP.5-1.	Ch 5 Sec 1: A Definite Integral Problem (pp. 189) materials correlated to this standard →
		SECTION				KCP.5-2.	Ch 5 Sec 2: Linear Approximations and Differentials (pp. 190 - 196) materials correlated to this standard →
		SECTION				KCP.5-3.	Ch 5 Sec 3: Formal Definition of Antiderivative and Indefinite Integral (pp. 197 - 204) materials correlated to this standard →
		SECTION				KCP.5-4.	Ch 5 Sec 4: Riemann Sums and the Definition of Definite Integral (pp. 204 - 211) materials correlated to this standard →
		SECTION				KCP.5-5.	Ch 5 Sec 5: The Mean Value Theorem and Rolle's Theorem (pp. 211 - 221) materials correlated to this standard →
		SECTION				KCP.5-6.	Ch 5 Sec 6: The Fundamental Theorem of Calculus (pp. 221 - 227) materials correlated to this standard →
		SECTION				KCP.5-7.	Ch 5 Sec 7: Definite Integral Properties and Practice (pp. 227 - 233) materials correlated to this standard →
		SECTION				KCP.5-8.	Ch 5 Sec 8: Definite Integrals Applied to Area and Other Problems (pp. 233 - 241) materials correlated to this standard →
		SECTION				KCP.5-9.	Ch 5 Sec 9: Volume of a Solid by Plane Slicing (pp. 242 - 251) materials correlated to this standard →
		SECTION				KCP.5-10.	Ch 5 Sec 10: Definite Integrals Numerically by Grapher and by Simpson's Rule (pp. 252 - 259) materials correlated to this standard →
	CHAPTER					KCP.6.	Chapter 6: The Calculus of Exponential and Logarithmic Functions
		SECTION				KCP.6-1.	Ch 6 Sec 1: Integral of the Reciprocal Function: A Population Growth Problem (pp. 269) materials correlated to this standard →
		SECTION				KCP.6-2.	Ch 6 Sec 2: Antiderivative of the Reciprocal Function and Another Form of the Fundamental Theorem (pp. 270 - 280) materials correlated to this standard →
		SECTION				KCP.6-3.	Ch 6 Sec 3: The Uniqueness Theorem and Properties of Logarithmic Functions (pp. 280 - 287) materials correlated to this standard →
		SECTION				KCP.6-4.	Ch 6 Sec 4: The Number e, Exponential Functions, and Logarithmic Differentiation (pp. 288 - 295) materials correlated to this standard →
		SECTION				KCP.6-5.	Ch 6 Sec 5: Limits of Indeterminate Forms: l'Hospital's Rule (pp. 295 - 301) materials correlated to this standard →
		SECTION				KCP.6-6.	Ch 6 Sec 6: Derivative and Integral Practice for Transcendental Functions (pp. 301 - 306) materials correlated to this standard →
	CHAPTER					KCP.7.	Chapter 7: The Calculus of Growth and Decay
		SECTION				KCP.7-1.	Ch 7 Sec 1: Direct Proportion Property of Exponential Functions (pp. 317) materials correlated to this standard →
		SECTION				KCP.7-2.	Ch 7 Sec 2: Exponential Growth and Decay (pp. 318 - 324) materials correlated to this standard →
		SECTION				KCP.7-3.	Ch 7 Sec 3: Other Differential Equations for Real-World Applications (pp. 324 - 333) materials correlated to this standard →
		SECTION				KCP.7-4.	Ch 7 Sec 4: Graphical Solution of Differential Equations by Using Slope Fields (pp. 333 - 341) materials correlated to this standard →
		SECTION				KCP.7-5.	Ch 7 Sec 5: Numerical Solution of Differential Equations by Using Euler's Method (pp. 341 - 348) materials correlated to this standard →
		SECTION				KCP.7-6.	Ch 7 Sec 6: The Logistic Function, and Predator-Prey Population Problems (pp. 348 - 358) materials correlated to this standard →
	CHAPTER					KCP.8.	Chapter 8: The Calculus of Plane and Solid Figures
		SECTION				KCP.8-1.	Ch 8 Sec 1: Cubic Functions and Their Derivatives (pp. 371) materials correlated to this standard →
		SECTION				KCP.8-2.	Ch 8 Sec 2: Critical Points and Points of Inflection (pp. 372 - 385) materials correlated to this standard →
		SECTION				KCP.8-3.	Ch 8 Sec 3: Maxima and Minima in Plane and Solid Figures (pp. 385 - 395) materials correlated to this standard →
		SECTION				KCP.8-4.	Ch 8 Sec 4: Volume of a Solid of Revolution by Cylindrical Shells (pp. 395 - 401) materials correlated to this standard →
		SECTION				KCP.8-5.	Ch 8 Sec 5: Length of a Plane Curve-Arc Length (pp. 401 - 407) materials correlated to this standard →
		SECTION				KCP.8-6.	Ch 8 Sec 6: Area of a Surface of Revolution (pp. 407 - 414) materials correlated to this standard →
		SECTION				KCP.8-7.	Ch 8 Sec 7: Lengths and Areas for Polar Coordinates (pp. 414 - 423) materials correlated to this standard →
	CHAPTER					KCP.9.	Chapter 9: Algebraic Calculus Techniques for the Elementary Functions
		SECTION				KCP.9-1.	Ch 9 Sec 1: Introduction to the Integral of a Product of Two Functions (pp. 433 - 434) materials correlated to this standard →
		SECTION				KCP.9-2.	Ch 9 Sec 2: Integration by Parts-A Way to Integrate Products (pp. 434 - 437) materials correlated to this standard →
		SECTION				KCP.9-3.	Ch 9 Sec 3: Rapid Repeated Integration by Parts (pp. 438 - 443) materials correlated to this standard →
		SECTION				KCP.9-4.	Ch 9 Sec 4: Reduction Formulas and Computer Algebra Systems (pp. 444 - 449) materials correlated to this standard →
		SECTION				KCP.9-5.	Ch 9 Sec 5: Integrating Special Powers of Trigonometric Functions (pp. 449 - 454) materials correlated to this standard →
		SECTION				KCP.9-6.	Ch 9 Sec 6: Integration by Trigonometric Substitution (pp. 454 - 460) materials correlated to this standard →
		SECTION				KCP.9-7.	Ch 9 Sec 7: Integration of Rational Functions by Partial Fractions (pp. 460 - 466)
		SECTION				KCP.9-8.	Ch 9 Sec 8: Integrals of the Inverse Trigonometric Functions (pp. 466 - 469) materials correlated to this standard →
		SECTION				KCP.9-9.	Ch 9 Sec 9: Calculus of the Hyperbolic and Inverse Hyperbolic Functions (pp. 469 - 481) materials correlated to this standard →
		SECTION				KCP.9-10.	Ch 9 Sec 10: Improper Integrals (pp. 481 - 488) materials correlated to this standard →
		SECTION				KCP.9-11.	Ch 9 Sec 11: Miscellaneous Integrals and Derivatives (pp. 488 - 493) materials correlated to this standard →
	CHAPTER					KCP.10.	Chapter 10: The Calculus of Motion-Averages, Extremes, and Vectors
		SECTION				KCP.10-1.	Ch 10 Sec 1: Introduction to Distance and Displacement for Motion Along a Line (pp. 501 - 502) materials correlated to this standard →
		SECTION				KCP.10-2.	Ch 10 Sec 2: Distance, Displacement, and Acceleration for Linear Motion (pp. 502 - 508) materials correlated to this standard →
		SECTION				KCP.10-3.	Ch 10 Sec 3: Average Value Problems in Motion and Elsewhere (pp. 508 - 514) materials correlated to this standard →
		SECTION				KCP.10-4.	Ch 10 Sec 4: Minimal Path Problems (pp. 514 - 519) materials correlated to this standard →
		SECTION				KCP.10-5.	Ch 10 Sec 5: Maximum and Minimum Problems in Motion and Elsewhere (pp. 520 - 522) materials correlated to this standard →
		SECTION				KCP.10-6.	Ch 10 Sec 6: Vector Functions for Motion in a Plane (pp. 522 - 538) materials correlated to this standard →
	CHAPTER					KCP.11.	Chapter 11: The Calculus of Variable-Factor Products
		SECTION				KCP.11-1.	Ch 11 Sec 1: Review of Work-Force Times Displacement (pp. 547) materials correlated to this standard →
		SECTION				KCP.11-2.	Ch 11 Sec 2: Work Done by a Variable Force (pp. 548 - 553) materials correlated to this standard →
		SECTION				KCP.11-3.	Ch 11 Sec 3: Mass of a Variable-Density Object (pp. 553 - 557) materials correlated to this standard →
		SECTION				KCP.11-4.	Ch 11 Sec 4: Moments, Centroids, Center of Mass, and the Theorem of Pappus (pp. 558 - 567) materials correlated to this standard →
		SECTION				KCP.11-5.	Ch 11 Sec 5: Force Exerted by a Variable Pressure-Center of Pressure (pp. 567 - 573) materials correlated to this standard →
		SECTION				KCP.11-6.	Ch 11 Sec 6: Other Variable-Factor Products (pp. 573 - 580) materials correlated to this standard →
	CHAPTER					KCP.12.	Chapter 12: The Calculus of Functions Defined by Power Series
		SECTION				KCP.12-1.	Ch 12 Sec 1: Introduction to Power Series (pp. 589) materials correlated to this standard →
		SECTION				KCP.12-2.	Ch 12 Sec 2: Geometric Sequences and Series as Mathematical Models (pp. 590 - 596) materials correlated to this standard →
		SECTION				KCP.12-3.	Ch 12 Sec 3: Power Series for an Exponential Function (pp. 597 - 598) materials correlated to this standard →
		SECTION				KCP.12-4.	Ch 12 Sec 4: Power Series for Other Elementary Functions (pp. 598 - 604) materials correlated to this standard →
		SECTION				KCP.12-5.	Ch 12 Sec 5: Taylor and Maclaurin Series, and Operations on These Series (pp. 605 - 612) materials correlated to this standard →
		SECTION				KCP.12-6.	Ch 12 Sec 6: Interval of Convergence for a Series-The Ratio Technique (pp. 613 - 620) materials correlated to this standard →
		SECTION				KCP.12-7.	Ch 12 Sec 7: Convergence of Series at the Ends of the Convergence Interval (pp. 621 - 635) materials correlated to this standard →
		SECTION				KCP.12-8.	Ch 12 Sec 8: Error Analysis for Series-The Lagrange Error Bound (pp. 635 - 643) materials correlated to this standard →