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1 absolute growth rate 绝对长 absolute value function 绝对值 absolute convergent 绝对敛 acceleration acceleration due to gravity accuracy addition of vectors alternating series amplitude analytical solution of differential equations angular frequency 频 antiderivative 积 fundamental theorem approximation bisection error in Taylor polynomial 级 Euler s method finite difference Fourier polynomial 项 global vs. local vs linear 线 Newton s method 顿 Picard s method quadratic tangent line 线 arc lenght 长 Archimedean spiral Archimedes Principle arithmetic mean 术 asymptote 渐线 average rate of change 变 average value of function 值

bisection error in Taylor polynomial 级 Euler s method finite difference Fourier polynomial 项 global vs.

2 Barometric pressure 压 base of exponential function of logarithm function 对 bell-shaped curve 钟线 bounded sequence caffeine calculators 计 round off error 值 Cantor set carbon dioxide level 氧浓 carbon cardioid 线 carrying capacity 载 Cartesian coordinate 标 catenary 悬链线 Cauchy formal definition of limit 义 cdfshort for cumulative distribution function 计 center of mass continuous mass density moment of point masses cephalexin, antibiotic chain rule chaos chlorofluorocarbons circle closed curves closed form of series 质连续质动质质头孢连锁则氯氟烃圆闭线达

Cauchy formal definition of limit 义 cdfshort for cumulative distribution function 计 center of mass continuous mass density moment of point

3 closed interval code-red computer virus common ratio comparison test Competitive Exclusion complex number complex plane compliance component of vector composite functions compound interest compressibility index concavity concentration conditionally convergent conjugate consols constant function theorem constant of proportionality consumer surplus continuity continuous function continuous rate continuous variable convergence coordinates Coroner s Rule of Thumb cosine function cost function coupon credit multiplier critical point cross-section 闭间电脑较竞则态压缩敛轭统债费连续连续连续变敛标时间优贷驻

theorem constant of proportionality consumer surplus continuity continuous function continuous rate continuous variable convergence coordinates Coroner

4 cubic polynomial cumulative distribution function curve D decreasing function decreasing function theorem definite integral degree of a polynomial degree-days Delta demand curve density density function dependent function dependent variable depreciation derivative chain rule critical points differentiability estimating graphically estimating numerically graphical interpretation inflection point interpretation Leibniz notation local maxima derivative function difference quotient differentiable differential equations differentiation dipole 计线递积项线联变贬值导连锁则驻图计值计图说值导

differentiability estimating graphically estimating numerically graphical interpretation inflection point interpretation Leibniz notation local

5 direction field direction of vector discrete variable disease incidence displacement displacement vector distance distribution function distribution of resources divergence diverging to infinity domain dominance dominates double factorial doubling time drug dosage as series Dubois formulas electric charge electric circuits electric dipole electric potential electron wave function elementary function ellipse end behavior of a function energy energy spectrum epidemic equation equations of motion equilibrium equilibrium point 场变发资发发穷义阶时间电电电电势电谔椭圆趋边穷远为谱运动

formulas electric charge electric circuits electric dipole electric potential electron wave function elementary function ellipse end behavior of

6 error error function escape velocity Euler s Constant Euler s formula Euler s method even function expansions, Taylor explicit function exponential growth exponential growth and decay extrapolation extrema extreme value theorem factorial factoring family of function Fermat s Principle Fibonacci sequence finite difference approximation first derivative First Fundamental Theorem of calculus fixed cost foot-pound force force of gravity Fourier coefficient fourier polynomial Fourier series fraction of population frequency fuel consumption function future value 误误显长长变值值阶费马计阶导积单约项级频

$coefficient fourier polynomial Fourier series fraction of population frequency fuel consumption function future value 误误显长长变值值阶费马计阶导积单约$

7 gamma function Gause yeast population model general solution of differential equation general term general term of a series geometric mean geometric series geometry Gini s index of inequality global behavior of a function global maxima Golden Gate Bridge golden ration Gompertz equation Gompertz growth graph gravitational constant gravitational field gravity greatest lower bound Greenland Ice sheet growth factor growth rate harmonic series height velocity graph histogram Hooke s Law l Hopital s rule horizontal asymptote horizontal line horizontal line test hybrid cars hydroelectric power 马项项为 eg 图总义值桥图场兰长长调级 - 图图达则渐线线线单动车发电

gravitational constant gravitational field gravity greatest lower bound Greenland Ice sheet growth factor growth rate harmonic series height velocity graph

8 hydrogen hyperbola hyperbolic hyperbolic function hyperbolic tangent hyperinflation identities imaginary numbers imaginary part of complex numbers implicit differentiation implicit function improper integral income stream increasing function indefinite integral independent variable index in power series index in Taylor series inertia, principle of infinite series inflection point initial condition initial value problem input into a function instantaneous integral integral test for series integrand integrationby parts) reduction formulas intercept interest Intermediate Value Theorem 氢线恶货胀单隐隐义积积变幂级标级标惯顿穷态值问题输值积敛积积积 ( 积值

Taylor series inertia, principle of infinite series inflection point initial condition initial value problem input into a function instantaneous integral integral

9 interval notation interval of convergence inverse inverse function inverse square law inverse trigonometric function inversely proportional invertible function isotopes iteration joule kinetic energy Lagrange error bound lapse rate leading coefficient leaf decomposition least upper bound left-hand limit left-hand sum lemniscate limacon 间敛动项递项树边纽线蜗线 limit instantaneous velocity limit comparison test limits of integration linear approximation linear function linearization local behavior of a function local extrema local linearity 时值积线线线质值线

upper bound left-hand limit left-hand sum lemniscate limacon 间敛动项递项树边纽线蜗线 limit instantaneous velocity limit comparison test

10 logarithm function logistic equation logistic function logistic model long division lottery winning lower bound lung magnitude of vector marginal mass Mass Action, Law of mass vs weight maxwell distribution mean mean value inequality mean value theorem moment monotone sequence monotonic function morphine motion murder natural logarithm newton nondecreasing function non-differentiability normal line nullclines numerical methods odd function one-sided limit open interval 对 logistic logistic logistic 长赢长边缘质质质韦值值值单调单调吗动谋杀对顿线值单侧间

sequence monotonic function morphine motion murder natural logarithm newton nondecreasing function non-differentiability normal line

11 optimization optimal values overestimate ozone p-series parabola parallel lines parameter parameterization parametric equations parasite drag partial fraction particular solution pdf pendulum period periodic function perpendicular lines phase difference phase plane phase shift phyllotaxis Picard s method piecewise linear function Plutonium polar coordinates polynomial population population growth position vector potential energy power function power rule 优优值氧 p 线线 probability density function 缩摆线间线钚标项长时幂幂规则导师幂

plane phase shift phyllotaxis Picard s method piecewise linear function Plutonium polar coordinates polynomial population population

12 power series predator-prey model present value pressure principal Principle of competitive exclusion probability probability density function producer surplus product rule production profit projectile proportional pulmonologist pulse train quadratic approximation quadratic formula quadratic polynomial quarantine quartic polynomial quintic polynomial quotient rule radians radius of convergence range rate of change ratio test rational function real part of complex number recurrence relations reduction formulas reflection coefficient 幂级标现值压竞产导积则产润项检项项导则敛值变值实

quadratic polynomial quarantine quartic polynomial quintic polynomial quotient rule radians radius of convergence range rate of change ratio test

13 reflection of light related rate relative growth rate relative mass rent controls resistance, resonance revenue revenue function Riemann sum Rolle s Theorem root mean square root test 长对质鸣罗值值审敛 rule of four satellite power saturation level scalar scalar multiplication second derivative second fundamental theorem of calculus sensitivity of a drug separation of variables sequence series Sigma sigmoid curve signal Simpson s Rule sine function sine-integral sinusoidal function 规则 review 规则卫电饱标标导积药变级 S 线规则积

multiplication second derivative second fundamental theorem of calculus sensitivity of a drug separation of variables sequence

14 slicing slope slope field smooth a sequence snow tree cricket solar panels solar photovoltaic installation solar power solid of revolution 场树电转 solution curve speed spring square wave stable equilibrium standard deviation of normal distribution statue of Liberty substitution sum sum formulas for sine summation notation supply curve surface area surge function surplus survival time symbiosis symmetry system of differential equations table table of integral tangent field 线稳态标换应线积 y=axe^{bx}a,b 为时间对组积线场

$symbiosis symmetry system of differential equations table table of integral tangent field 线稳态标换应线积 y=axe^{bx}a,b 为时间对组$

15 tangent function tangent line Taylor expansion Taylor polynomial terminal velocity terms in series theorem Three Gorges Dam threshold value tin pest total cost total quantity total revenue total utility trajectories transmission coefficient trapezoid rule trapezoid area of triangular wave trigonometric function trigonometric identity trigonometric substitution two-sided limit unbounded function unit circle units unstable equilibrium upper bound urologist variable variable cost vector velocity 线场项终级项坝阈值锡总总总总线传输积积换侧单圆单稳师变变

of triangular wave trigonometric function trigonometric identity trigonometric substitution two-sided limit unbounded function unit circle

16 warfarin water clock wind power wind resistance winning probability work Zeno zeros zeros of a function zooming 华钟风风赢诺缩

Microsoft Word - ch05note_1210.doc

Microsoft Word - ch05note_1210.doc Section 5. Antiderivatives and indefinite integrals 反導函數與不定積分上一章我們已經學過微分以及它的應用現在我們考慮反向的過程, 稱為積分 (antidifferentiation), 給定一個導函數, 找出它原始的函數積分也有許多