{"id":20056,"date":"2023-09-05T10:56:23","date_gmt":"2023-09-05T08:56:23","guid":{"rendered":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/?post_type=course&#038;p=20056"},"modified":"2026-05-20T10:35:34","modified_gmt":"2026-05-20T08:35:34","slug":"matematik-4","status":"publish","type":"course","link":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/kurser\/matematik-4\/","title":{"rendered":"Matematik &#8211; forts\u00e4ttning niv\u00e5 2"},"content":{"rendered":"<section class=\"wp-block-kunskapsforbundetpageblocks-course-hero\"  style=\"--course-hero-focal-point-x:0.5; --course-hero-focal-point-y:0.5; --course-hero-background:var(--purple-light); --course-hero-box-color:var(--purple-dark); --course-hero-text:var(--black); --course-box-text:var(--white);\"\n>\n  <div class=\"course-hero-image-wrapper\">\n          <img decoding=\"async\" src=\"https:\/\/kunskapsforbundet.se\/app\/uploads\/sites\/6\/2023\/09\/writing-math-equations-in-a-notebook-with-a-pencil-2026-03-09-21-44-37-utc-scaled.jpg\" sizes=\"Array\" alt=\"\" class=\"course-hero-image\" \/>\n      <\/div>\n\n  <div class=\"course-hero-content\">\n    <h1 class=\"course-hero-heading hyphens\">Matematik \u2013 forts\u00e4ttning niv\u00e5 2<\/h1>\n    <p class=\"course-hero-description\">Gymnasial niv\u00e5<\/p>\n\n    \n    \n    <div class=\"course-hero-tab\">\n      <div class=\"course-hero-city\">V\u00e4nersborg<\/div>\n      <div class=\"course-hero-length\">100 po\u00e4ng<\/div>\n    <\/div>\n        <div class=\"course-hero-circle course-hero-circle--planned\">\n      <div class=\"course-hero-status\">Planerad start <\/div>\n    <\/div>\n      <\/div>\n<\/section>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<section style=\"background-color:transparent;--kf-button-icon-background:transparent\" class=\"wp-block-kunskapsforbundetpageblocks-container\"><div class=\"container-block width-narrow false\">\n<p class=\"has-is-size-5-font-size\">Matematiken har en flertusen\u00e5rig historia med bidrag fr\u00e5n m\u00e5nga kulturer. Matematik \u2013 forts\u00e4ttning behandlar derivator, integraler, komplexa tal och trigonometri. Derivator och integraler har varit avg\u00f6rande f\u00f6r utveckling inom fysik och spelar i dag en viktig roll inom flera olika vetenskaper. \u00c4ven komplexa tal och trigonometri spelar en viktig roll inom fysik och matematik. Ytterst handlar matematiken om att uppt\u00e4cka m\u00f6nster och formulera generella samband.<\/p>\n<\/div><\/section>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<section style=\"background-color:var(--purple-light);--kf-button-icon-background:var(--purple-light)\" class=\"wp-block-kunskapsforbundetpageblocks-container\"><div class=\"container-boxes container-boxes--vux\"><div><\/div><div><\/div><div><\/div><\/div><div class=\"container-block width-narrow false\">\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-is-size-4-font-size\">Kortfakta<\/h2>\n\n\n\n<div style=\"height:28px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group is-content-justification-center is-nowrap is-layout-flex wp-container-core-group-is-layout-94bc23d7 wp-block-group-is-layout-flex\"><div class=\"wp-block-kunskapsforbundetpageblocks-course-study-formats\">\n\t\t\t<a href=\"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/studieform\/dagtid\/\">Dagtid<\/a>\n\t<\/div>\n<\/div>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:45%\">\n<p class=\"has-text-align-left\"><strong>Po\u00e4ng:<\/strong> 100<br><strong>L\u00e4ngd: <\/strong>20 veckor<br><strong>Studieort:<\/strong> V\u00e4nersborg<br><strong>N\u00e4sta studieperiod:<\/strong> V\u00e5ren 2027<br><strong>CSN ber\u00e4ttigad: <\/strong>\u2713<br><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:17px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center has-is-size-7-font-size\"><i class=\"icon fas fa-circle-info\" aria-hidden=\"true\"><\/i><em>\u00c4mnesniv\u00e5n \u00e4r i normala fall ans\u00f6kningsbar varje v\u00e5rperiod.<\/em><\/p>\n\n\n\n<div style=\"height:23px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-kunskapsforbundetpageblocks-kf-buttons aligncenter\" data-accordions=\"true\">\n<a style=\"--kf-button-background:var(--purple-dark);--kf-button-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-kf-button kf-button-simple kf-button-size-large\" href=\"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/komvuxansokan\/\" rel=\"noopener noreferrer\" target=\"_blank\"><div class=\"kf-button-heading\">Ans\u00f6k h\u00e4r<\/div><\/a>\n<\/div>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<\/div><\/section>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<section style=\"background-color:transparent;--kf-button-icon-background:transparent\" class=\"wp-block-kunskapsforbundetpageblocks-container\"><div class=\"container-block width-narrow false\">\n<h2 class=\"wp-block-heading has-text-align-center has-is-size-3-font-size\">Om \u00e4mnesniv\u00e5n<\/h2>\n\n\n\n<div style=\"height:16px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<section style=\"background-color:transparent;--kf-button-icon-background:transparent\" class=\"wp-block-kunskapsforbundetpageblocks-container\"><div class=\"container-block width-narrow false\">\n<p>Matematik &#8211; forts\u00e4ttning niv\u00e5 2 bygger vidare p\u00e5 och f\u00f6rdjupar dina kunskaper om trigonometri och funktioner fr\u00e5n Matematik &#8211; forts\u00e4ttning niv\u00e5 1c. Du f\u00e5r i kursen l\u00e4ra dig att derivera fler typer av funktioner samt regler f\u00f6r att derivera sammansatta funktioner. Du f\u00e5r \u00e4ven l\u00e4ra dig att skissa grafer utifr\u00e5n derivata och asymptoter samt f\u00f6rdjupa dina kunskaper om integraler.<\/p>\n\n\n\n<p>Matematik &#8211;  forts\u00e4ttning niv\u00e5 2 motsvarar den gamla kursen Matematik 4.<\/p>\n<\/div><\/section>\n\n\n\n<div style=\"height:42px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<dl class=\"wp-block-kunskapsforbundetpageblocks-accordion\" data-accordions=\"true\">\n<div style=\"--accordion-head-background:var(--purple-dark);--accordion-head-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-accordion-tab\"><dt><button class=\"tab-page-head\" id=\"tab-217636b2-ba33-475f-a675-40f8eeb2027c\" aria-controls=\"panel-tab-217636b2-ba33-475f-a675-40f8eeb2027c\" aria-label=\"Rekommenderade f\u00f6rkunskaper\"><span class=\"tab-page-heading\">Rekommenderade f\u00f6rkunskaper<\/span><span><span class=\"accordion-icon\"><\/span><span class=\"accordion-icon is-hidden\"><\/span><\/span><\/button><\/dt><dd id=\"panel-tab-217636b2-ba33-475f-a675-40f8eeb2027c\" class=\"tab-page-body is-hidden\" role=\"tabpanel\" aria-hidden=\"true\"><div>\n<p>Godk\u00e4nt betyg i Matematik \u2013 forts\u00e4ttning, niv\u00e5 1b-c eller motsvarande kunskaper samt godk\u00e4nt betyg i SFI C eller motsvarande kunskaper.<\/p>\n<\/div><\/dd><\/div>\n\n\n\n<div style=\"--accordion-head-background:var(--purple);--accordion-head-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-accordion-tab\"><dt><button class=\"tab-page-head\" id=\"tab-2315de63-f941-416b-ba0e-5a207f13e2be\" aria-controls=\"panel-tab-2315de63-f941-416b-ba0e-5a207f13e2be\" aria-label=\"Studieekonomi\"><span class=\"tab-page-heading\">Studieekonomi<\/span><span><span class=\"accordion-icon\"><\/span><span class=\"accordion-icon is-hidden\"><\/span><\/span><\/button><\/dt><dd id=\"panel-tab-2315de63-f941-416b-ba0e-5a207f13e2be\" class=\"tab-page-body is-hidden\" role=\"tabpanel\" aria-hidden=\"true\"><div>\n<p>\u00c4mnesniv\u00e5n \u00e4r CSN-ber\u00e4ttigad och kostnadsfri.<\/p>\n\n\n\n<p>Vill du l\u00e4sa mer om studieekonomi f\u00f6r dig som studerar p\u00e5 vuxenutbildningen? L\u00e4s mer&nbsp;<a href=\"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/studieekonomi\/\">h\u00e4r<\/a>.<\/p>\n<\/div><\/dd><\/div>\n\n\n\n<div style=\"--accordion-head-background:var(--purple-dark);--accordion-head-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-accordion-tab\"><dt><button class=\"tab-page-head\" id=\"tab-2993d588-62ad-4ff9-8e91-224222f0cbef\" aria-controls=\"panel-tab-2993d588-62ad-4ff9-8e91-224222f0cbef\" aria-label=\"Studielitteratur\"><span class=\"tab-page-heading\">Studielitteratur<\/span><span><span class=\"accordion-icon\"><\/span><span class=\"accordion-icon is-hidden\"><\/span><\/span><\/button><\/dt><dd id=\"panel-tab-2993d588-62ad-4ff9-8e91-224222f0cbef\" class=\"tab-page-body is-hidden\" role=\"tabpanel\" aria-hidden=\"true\"><div>\n<p>Information om vilken studielitteratur som anv\u00e4nds i denna \u00e4mnesniv\u00e5 hittar du h\u00e4r:<\/p>\n\n\n\n<p><a href=\"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/kurslitteratur\/\">Studielitteratur p\u00e5 Komvux<\/a><\/p>\n<\/div><\/dd><\/div>\n\n\n\n<div style=\"--accordion-head-background:var(--purple);--accordion-head-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-accordion-tab\"><dt><button class=\"tab-page-head\" id=\"tab-2b50a478-ea7a-4ba3-b723-d74c0ab411e1\" aria-controls=\"panel-tab-2b50a478-ea7a-4ba3-b723-d74c0ab411e1\" aria-label=\"Skolverket \"><span class=\"tab-page-heading\">Skolverket <\/span><span><span class=\"accordion-icon\"><\/span><span class=\"accordion-icon is-hidden\"><\/span><\/span><\/button><\/dt><dd id=\"panel-tab-2b50a478-ea7a-4ba3-b723-d74c0ab411e1\" class=\"tab-page-body is-hidden\" role=\"tabpanel\" aria-hidden=\"true\"><div>\n<p>L\u00e4s mer om \u00e4mnesniv\u00e5n p\u00e5 skolverkets hemsida.<\/p>\n\n\n\n<div class=\"wp-block-kunskapsforbundetpageblocks-kf-buttons\" data-accordions=\"true\">\n<a style=\"--kf-button-background:var(--purple-dark);--kf-button-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-kf-button kf-button-simple kf-button-size-small\" href=\"https:\/\/www.skolverket.se\/undervisning\/komvux\/komvux-pa-gymnasial-niva\/amnen-for-komvux-pa-gymnasial-niva\/hitta-amnen-for-komvux-pa-gymnasial-niva-gy25\/hitta-amnen-for-komvux-pa-gymnasial-niva-gy25\/search\/subjects\/MATO?v=1#MATO\" rel=\"noopener noreferrer\" target=\"_blank\"><div class=\"kf-button-heading\">Till skolverket<\/div><\/a>\n<\/div>\n<\/div><\/dd><\/div>\n<\/dl>\n<\/div><\/section>\n\n\n\n\n\n<section style=\"background-color:transparent;--kf-button-icon-background:transparent\" class=\"wp-block-kunskapsforbundetpageblocks-container\"><div class=\"container-block width-wide false\"><\/div><\/section>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<section style=\"background-color:transparent;--kf-button-icon-background:transparent\" class=\"wp-block-kunskapsforbundetpageblocks-container\"><div class=\"container-block width-wide false\">\n<h2 class=\"wp-block-heading has-text-align-center has-is-size-4-font-size\">Liknande \u00e4mnen<\/h2>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-kunskapsforbundetpageblocks-shortcuts\" data-accordions=\"true\">\n<a style=\"--shortcut-background:var(--purple-dark);--shortcut-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-shortcut\" href=\"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/kurser\/matematik-3b-c\/\" rel=\"noopener noreferrer\" target=\"_blank\"><div class=\"shortcut-heading\">Matematik-forts\u00e4ttning niv\u00e5 1 b-c<\/div><\/a>\n\n\n\n<a style=\"--shortcut-background:var(--purple);--shortcut-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-shortcut\" href=\"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/kurser\/matematik-2b-c\/\" rel=\"noopener noreferrer\" target=\"_blank\"><div class=\"shortcut-heading\">Matematik niv\u00e5 2 b-c<\/div><\/a>\n\n\n\n<a style=\"--shortcut-background:var(--purple-dark);--shortcut-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-shortcut\" href=\"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/kurser\/matematik-1b-c\/\" rel=\"noopener noreferrer\" target=\"_blank\"><div class=\"shortcut-heading\">Matematik niv\u00e5 1 b-c<\/div><\/a>\n<\/div>\n<\/div><\/section>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<section style=\"background-color:var(--orange-light);--kf-button-icon-background:var(--orange-light)\" class=\"wp-block-kunskapsforbundetpageblocks-container\"><div class=\"container-block width-wide false\">\n<div style=\"height:64px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:60%\">\n<h2 class=\"wp-block-heading has-is-size-3-font-size\">Har du fr\u00e5gor om dina studier?<\/h2>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>Du kan alltid kontakta oss vid fr\u00e5gor om v\u00e5ra yrkesutbildningar. V\u00e5ra Studie- och yrkesv\u00e4gledare kan svara p\u00e5 fr\u00e5gor om ans\u00f6kan, beh\u00f6righet och studieplanering. Har du fr\u00e5gor om antagning, intyg, betyg eller svarsbesked kan du kontakta v\u00e5r administration.<\/p>\n\n\n\n<div style=\"height:32px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-kunskapsforbundetpageblocks-kf-buttons\" data-accordions=\"true\">\n<a style=\"--kf-button-background:var(--orange-dark);--kf-button-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-kf-button kf-button-simple kf-button-size-large\" href=\"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/studie-och-yrkesvagledning\/\" rel=\"noopener noreferrer\" target=\"_blank\"><div class=\"kf-button-heading\">Studie- och yrkesv\u00e4gledning<\/div><\/a>\n\n\n\n<a style=\"--kf-button-background:var(--orange-dark);--kf-button-text:var(--white)\" class=\"wp-block-kunskapsforbundetpageblocks-kf-button kf-button-simple kf-button-size-large\" href=\"https:\/\/minasidor.kunskapsforbundet.se\/oversikt\/overview\/215\" rel=\"noopener noreferrer\" target=\"_blank\"><div class=\"kf-button-heading\">Administration<\/div><\/a>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:40%\">\n<div class=\"wp-block-kunskapsforbundetpageblocks-media-container shadow-right false\" style=\"--media-container-shadow-color:var(--orange)\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"667\" src=\"https:\/\/kunskapsforbundet.se\/app\/uploads\/sites\/6\/2025\/09\/VUX-utbildningsmassa-HT25_12.jpg\" alt=\"\" class=\"wp-image-26598\" style=\"aspect-ratio:1;object-fit:cover\" srcset=\"https:\/\/kunskapsforbundet.se\/app\/uploads\/sites\/6\/2025\/09\/VUX-utbildningsmassa-HT25_12.jpg 1000w, https:\/\/kunskapsforbundet.se\/app\/uploads\/sites\/6\/2025\/09\/VUX-utbildningsmassa-HT25_12-300x200.jpg 300w, https:\/\/kunskapsforbundet.se\/app\/uploads\/sites\/6\/2025\/09\/VUX-utbildningsmassa-HT25_12-768x512.jpg 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:64px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<\/div><\/section>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"featured_media":31097,"template":"","course-info":[1000],"course-nextstart":[1063],"course-eduform":[980],"course-studyform":[974],"course-status":[973],"class_list":["post-20056","course","type-course","status-publish","has-post-thumbnail","hentry","course-studyform-dagtid"],"acf":[],"_links":{"self":[{"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course\/20056","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course"}],"about":[{"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/types\/course"}],"version-history":[{"count":7,"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course\/20056\/revisions"}],"predecessor-version":[{"id":31248,"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course\/20056\/revisions\/31248"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/media\/31097"}],"wp:attachment":[{"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/media?parent=20056"}],"wp:term":[{"taxonomy":"course-info","embeddable":true,"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course-info?post=20056"},{"taxonomy":"course-nextstart","embeddable":true,"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course-nextstart?post=20056"},{"taxonomy":"course-eduform","embeddable":true,"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course-eduform?post=20056"},{"taxonomy":"course-studyform","embeddable":true,"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course-studyform?post=20056"},{"taxonomy":"course-status","embeddable":true,"href":"https:\/\/kunskapsforbundet.se\/vuxenutbildningen\/wp-json\/wp\/v2\/course-status?post=20056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}