| Kapitel 1 | ||
| domain | definitionsmängd | 2 |
| function | funktion | 2 |
| range | värdemängd | 2 |
| inversely proportional | omvänt proportionell | 5 |
| proportional | proportionell | 5 |
| linear function | linjär funktion | 8 |
| slope | riktningskoefficient | 8 |
| vertical intercept | skärning med y-axeln | 8 |
| decreasing | avtagande | 10 |
| increasing | växande | 10 |
| exponential function | exponentialfunktion | 13 |
| concave down | konkav nerifrån | 15 |
| concave up | konkav uppifrån | 15 |
| concave up | konvex | 15 |
| asymptote | asymptot | 19 |
| fractional exponent | rationell exponent | 21 |
| power function | potensfunktion | 24 |
| integral exponent | heltalsexponent | 25 |
| inverse function | invers | 31 |
| invertible | inverterbar | 31 |
| logarithm | logaritm | 35 |
| natural logarithm | naturlig logaritm | 40 |
| exponential decay | exponentiellt avtagande | 41 |
| exponential growth | exponentiell tillväxt | 41 |
| continuous | kontinuerlig | 43 |
| growth rate | tillväxttakt | 43 |
| composite functions | sammansatt funktion | 47 |
| even | jämn | 49 |
| odd | udda | 49 |
| radian | radian | 52 |
| arc length | båglängd | 53 |
| cosine | cosinus | 53 |
| sine | sinus | 53 |
| tangent function | tangens | 56 |
| rational function | rationell funktion | 60 |
| continuity | kontinuitet | 67 |
| binomial theorem,the | binomialsatsen | 78 |
| binomial coefficient | binomialkoefficient | 81 |
| completeness | fullständighet | 82 |
| root | rot | 82 |
| completeness axiom | fullständighetsaxiomet | 83 |
| upper bound | övre begränsning | 83 |
| intermediate value theorem | sats om mellanliggande värden | 84 |
| nested interval theorem | inkapslingssatsen | 84 |
| Kapitel 2 | ||
| average velocity | medelhastighet | 88 |
| instantaneous velocity | momentan hastighet | 88 |
| limit | gränsvärde | 92 |
| derivative | derivata | 95 |
| differentiable | deriverbar | 97 |
| second derivative | andraderivata | 116 |
| Kapitel 3 | ||
| definite integral | bestämd integral | 153 |
| integrand | integrand | 154 |
| fundamental theorem of calculus | integralkalkylens huvudsats | 167 |
| integrable | integrerbar | 183 |
| Kapitel 4 | ||
| chain rule | kedjeregeln | 208 |
| implicit diffrentiation | implicit derivering | 224 |
| implicit function | implicit funktion | 224 |
| Kapitel 5 | ||
| critical point | kritisk punkt | 241 |
| local maximum | lokalt maximum | 241 |
| local minimum | lokalt minimum | 241 |
| inflection point | inflexionspunkt | 244 |
| optimization | optimering | 254 |
| global minimum (maximum) | globalt minimum (maximum) | 255 |
| modeling | modellering | 270 |
| hyperbolic functions | hyperboliska funktioner | 277 |
| hyperbolic sine (cosine) | sinus (cosinus) hyperbolicus | 277 |
| extrem value theorem | sats om största värde | 286 |
| Kapitel 6 | ||
| antiderivative | primitiv funktion | 294 |
| differential equations | differentialekvationer | 304 |
| Kapitel 7 | ||
| substitution | substitution | 322 |
| integration by parts | partiell integration | 333 |
| partial fractions | partialbråk | 342 |
| trapezoid rule | trapetsregeln | 346 |
| improper integral | generaliserad integral | 356 |
| comparison test | jämförelsekriteriet | 365 |
| Kapitel 8 | ||
| solid of revolution | rotationskropp | 379 |
| cumulative distribution function | fördelningsfunktion | 413 |
| probability | sannolikhet | 416 |
| mean | medelvärde | 420 |
| normal distribution | normalfördelning | 420 |
| standard deviation | standardavvikelse | 420 |
| Kapitel 9 | ||
| power series | potensserie | 435 |
| binomial series | binomialserien | 439 |
| ratio test | kvotkriteriet | 440 |
| harmonic series | harmoniska serien | 441 |
| alternating series | alternerande serie | 442 |
| geometric series | geometriska serien | 451 |
| Kapitel 10 | ||
| family of solutions | lösningsfamilj | 491 |
| initial condition | begynnelsevillkor | 491 |
| slope fields | riktningsfält | 494 |
| equlibrium solutions | jämviktslösningar | 515 |
| stable | stabil | 516 |
| unstable | instabil | 516 |
| Kapitel 11 | ||
| cross-section | tvärsnitt | 577 |
| contour line | nivåkurva | 583 |
| level curve | nivåkurva | 584 |
| level surface | nivåyta | 603 |
| Kapitel 12 | ||
| displacement vector | translationsvektor | 618 |
| scalar | skalär | 620 |
| resolve | dela upp | 621 |
| components | komponenter | 621 |
| unit vector | enhetsvektor | 624 |
| commutativity | kommutativitet | 629 |
| distributivity | distributivitet | 629 |
| associativity | associativitet | 629 |
| identity | identitet | 629 |
| dot product | skalärprodukt | 633 |
| orthogonal | ortogonal | 635 |
| cross product | vektorprodukt, kryssprodukt | 642 |
| vector product | vektorprodukt, kryssprodukt | 642 |
| Kapitel 13 | ||
| partial derivative | partiell derivata | 655 |
| tangent plane | tangentplan | 666 |
| differential | differential | 669 |
| directional derivative | riktningsderivata | 673 |
| gradient vector | gradientvektor | 675 |
| second-order | andra ordningen | 693 |
| Kapitel 14 | ||
| saddle point | sadelpunkt | 721 |
| quadratic function | kvadratisk funktion | 722 |
| unconstrained | utan bivillkor | 727 |
| constrained | med bivillkor | 727 |
| fitting | anpassa | 729 |
| gradient search | gradientmetod | 730 |
| boundary | rand | 733 |
| interior point | inre punkt | 733 |
| bounded | begränsad | 732 |
| multiplier | multiplikator | 737 |
| Kapitel 15 | ||
| double integral | dubbelintegral | 755 |
| iterated | itererad, upprepad | 762 |
| triple integral | trippelintegral | 770 |
| polar coordinates | polära koordinater | 774 |
| Kapitel 16-20 | ||
| parameterized curves | parametriserade kurvor | 799 |
| path | väg | 801 |
| vector fields | vektorfält | 821 |
| gradient field | gradientfält | 825 |
| flow | flöde | 829 |
| flow line | flödeslinje | 829 |
| line integral | linjeintegral, kurvintegral | 835 |
| oriented | orienterad | 836 |
| conservative field | konservativt fält | 852 |
| path-independent | vägoberoende | 852 |
| potential function | potentialfunktion | 853 |
| curl | rotation | 859 |
| flux integral | flödesintegral | 875 |
| divergence | divergens | 896 |