About Us
The Mathematics Department of Quaid-i-Azam University is one of the first few departments of the university. The department was established in 1967.
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Programs
Department of Mathematics Offers the following 4 discipline of studies.
BS Mathematics, BS Mathematics with Finance and Economics , Mphil and PhD. Click the button below for further details.
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Courses
Modern courses are offered to the students enrolled in any disciplines offered by the department of Mathematics, Quaid-i-Azam University.
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Faculty
The faculty has been the pioneer in the production of a highly qualified working force in the country, producing the highest number of MPhil and PhD scholars.
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It is pleasure to welcome to the website of the Department of Mathematics, Quaid-i-Azam University, Islamabad. I believe a department is known by the faculty it has. The faculty of Mathematics has earned respect internationally for its high class fundamental scientific research. It has an excellent cadre of faculty members some of whom are outstanding scientists in the world.
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Dr.Tariq Shah- Chairman
The Mathematics Department of Quaid-i-Azam University is one of the first few departments of the university. The department was established in 1967. It consists of highly qualified faculty members, most of them are actively engaged in research in the fields of pure, applied and computational mathematics. The department has played a leading role in establishing traditions in mathematical research in Pakistan. Every year, the faculty members produce an impressive number of research papers in the international journals. Many faculty members have research collaborations
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Modern courses are offered to the students enrolled in any disciplines offered by the department of Mathematics, Quaid-i-Azam University.
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_document.getElementsByTagName('script')[0];script.parentNode.insertBefore(tag, script);}(window, document);`}onPixelEvent(e){this.selectPixelEvents(e).forEach((e=>{e&&window.obApi("track",e.event)}))}isLoaded(){return!!window.obApi}}class Revcontent extends Provider{get script(){return""}inject(){const e=document.createElement("script");e.src="https://assets.revcontent.com/master/rev.js",document.head.appendChild(e)}onPixelEvent(e){this.selectPixelEvents(e).forEach((e=>{e&&window.rev("event",e.event)}))}isLoaded(){return!!window.rev}}class Taboola extends Provider{get script(){return"window._tfa = window._tfa || [];!function (t, f, a, x) {if (!document.getElementById(x)) {t.async = 1;t.src = a;t.id=x;f.parentNode.insertBefore(t, f);}}(document.createElement('script'),document.getElementsByTagName('script')[0],'//cdn.taboola.com/libtrc/unip/1451879/tfa.js','tb_tfa_script');"}onPixelEvent(e){this.selectPixelEvents(e).forEach((e=>{e&&window._tfa.push({notify:"event",name:e.event,id:e.pixel_id})}))}isLoaded(){return Array.isArray(window._tfa)}}class Tiktok extends Provider{constructor(e,t){super(e),this.useAltTikTokEventsForAdsPlatformUser=t}get script(){return`!function (w, d, t) {w.TiktokAnalyticsObject=t;var ttq=w[t]=w[t]||[];ttq.methods=["page","track","identify","instances","debug","on","off","once","ready","alias","group","enableCookie","disableCookie"],ttq.setAndDefer=function(t,e){t[e]=function(){t.push([e].concat(Array.prototype.slice.call(arguments,0)))}};for(var i=0;i{e&&window.ttq.instance(this.identifier).track(e.event)}))}isLoaded(){return!!window.ttq}}const ADS_PARAM$1="?caf",MESSAGE_PREFIX="FSXDC,.aCS:",ALLOWED_ORIGINS=["https://www.google.com","https://www.adsensecustomsearchads.com","https://syndicatedsearch.goog","https://googleadservices.com"];class Pixels{static build(e){const t=unpackPHPArrayObject(e,"pixel_tracking_data");if(t)return t.useAltTikTokEventsForAdsPlatformUser=e.is_ads,new Pixels(t)}constructor(e){this.onPixelEvent=e=>{const{detail:{type:t}}=e;switch(t){case"visit":case"ctr":case"click":this.providers.forEach((e=>e.handlePixelEvent(t)))}},this.providers=[new Facebook(e.facebook),new Tiktok(e.tiktok,e.useAltTikTokEventsForAdsPlatformUser),new Taboola(e.taboola),new Revcontent(e.revcontent),new Outbrain(e.outbrain)]}listenForEvents(){document.addEventListener("pixel",(e=>{this.onPixelEvent(e)}));window.onmessage=e=>{const{origin:t,data:n}=e;ALLOWED_ORIGINS.includes(t)&&(null==n?void 0:n.startsWith(MESSAGE_PREFIX))&&window.location.search.startsWith(ADS_PARAM$1)&&document.dispatchEvent(new CustomEvent("pixel",{detail:{type:"click"}}))}}dispatchEvent(e){document.dispatchEvent(new CustomEvent("pixel",{detail:e}))}}var State;!function(e){e[e.Pending=0]="Pending",e[e.Loaded=1]="Loaded",e[e.Failure=2]="Failure",e[e.TimedOut=3]="TimedOut",e[e.Errored=4]="Errored"}(State||(State={}));const CAF_SCRIPT_SRC=`https://www.google.com/adsense/domains/caf.js?${GOOGLE_MV3_URL_PARAMS}`,TIMEOUT_SCRIPTS=Number(GOOGLE_CAF_TIMEOUT_SCRIPTS),TIMEOUT_CALLBACKS=Number(GOOGLE_CAF_TIMEOUT_CALLBACKS);class StateMachine{constructor(){this.state=State.Pending}transitionTo(e){this.state=e}transitionFromPendingTo(e){this.done||(this.state=e)}get loaded(){return this.state===State.Loaded}get timedOut(){return this.state===State.TimedOut}get done(){return this.state!==State.Pending}}class Ads{constructor(e,t){this.state={script:new StateMachine,blocks:new StateMachine},this.blocksLoaded=[],this.injectScriptTags=()=>__awaiter(this,void 0,void 0,(function*(){return new Promise((e=>{const t=document.createElement("script");t.type="text/javascript",t.src=CAF_SCRIPT_SRC,t.addEventListener("load",(()=>e(!0))),t.addEventListener("error",(()=>e(!1))),document.body.appendChild(t),TIMEOUT_SCRIPTS>0&&setTimeout((()=>e(!1)),TIMEOUT_SCRIPTS)}))})),this.onPageLoaded=(e,t)=>{if(this.pageLoaded={requestAccepted:e,status:t},this.state.script.done)return;const n=null==t?void 0:t.error_code;n?(this.state.script.transitionTo(State.Failure),this.failureReason=`caf_pageloaderror_${n}`):this.state.script.transitionTo(State.Loaded)},this.onBlockLoaded=(e,t,n,i)=>{this.blocksLoaded.push({containerName:e,adsLoaded:t,isExperimentVariant:n,callbackOptions:i}),this.state.blocks.done||(t?this.state.blocks.transitionTo(State.Loaded):this.blocksLoaded.length>=this.blocks.length&&(this.state.blocks.transitionTo(State.Failure),this.failureReason=`caf_adloadfail_${e}`))},this.onTimeout=()=>{this.state.script.transitionFromPendingTo(State.TimedOut),this.state.blocks.transitionFromPendingTo(State.TimedOut)},this.blocks=e,this.options=t}get loaded(){return this.state.script.loaded&&!this.blocksLoaded.map((e=>e.adsLoaded)).includes(!1)}waitForBlocks(){return __awaiter(this,void 0,void 0,(function*(){return new Promise((e=>{const t=()=>{const n=performance.now();if(this.state.blocks.done)return this.cafLoadTime=Math.round(n-this.cafStartTime),void e();const i=this.blocksLoaded.map((e=>e.adsLoaded));i.includes(!1)||i.length>=this.blocks.length?e():setTimeout(t,50)};t()}))}))}inject(){return __awaiter(this,void 0,void 0,(function*(){try{const e=yield this.injectScriptTags();return this.cafStartTime=performance.now(),e&&void 0!==window.google?(new window.google.ads.domains.Caf(Object.assign(Object.assign({},this.options),{pageLoadedCallback:this.onPageLoaded,adLoadedCallback:this.onBlockLoaded}),...this.blocks),TIMEOUT_CALLBACKS>0&&setTimeout(this.onTimeout,TIMEOUT_CALLBACKS),yield new Promise((e=>{const t=()=>{this.state.script.done?e():setTimeout(t,10)};t()}))):void this.state.script.transitionTo(State.Failure)}catch(e){return void(this.error=e.toString())}}))}toCallbacks(){return{adLoadedCallback:this.blocksLoaded.slice(-1)[0],pageLoadedCallback:this.pageLoaded,cafTimedOut:this.state.script.timedOut||this.state.blocks.timedOut,cafLoadedMs:this.cafLoadTime,googleAdsFailure:!!this.failureReason}}toContext(){const e={cafScriptWasLoaded:this.state.script.loaded,cafScriptLoadTime:this.cafLoadTime,callbacks:this.toCallbacks};return this.error&&(e.js_error={message:this.error}),this.state.script.loaded||(e.zeroclick={reason:"googleAdsFailure"}),e}mockFailedState(){this.state.blocks.transitionTo(State.Failure),this.state.script.transitionTo(State.Failure)}}class TagManager{constructor(e){this.injected=!1,this.identifier=e}inject(){if(this.injected)return;if(!this.identifier)return;if("TEST"===this.identifier)return;const e=document.createElement("script");e.setAttribute("src",`https://www.googletagmanager.com/gtag/js?id=${this.identifier}`),document.head.appendChild(e),this.track(),this.injected=!0}track(){this.push("js",new Date),this.push("config",this.identifier)}push(e,t){window.dataLayer||(window.dataLayer=[]),window.dataLayer.push(arguments)}}const ADS_PARAM="caf",ADS_TRACKING_URL="_tr",BLOCKS_TYPE="ads",BLOCKS_CONTAINER="rs",KNOWN_CAF_PARAMS=["caf","query","afdToken","pcsa","nb","nm","nx","ny","is","clkt"];class Google{static build({pageOptions:e,preferredLanguage:t,blocks:n,googleAnalytics:i},s,a,o){let r={};e&&(r=Object.assign({},e),r.hl||(r.hl=t));let d=null==e?void 0:e.resultsPageBaseUrl;d||(d=window.location.origin);return new Google(s.uuid,n,r,i,d,o)}constructor(e,t,n,i,s,a){this._blocks=t,this._pageOptions=n,this.uuid=e,this._baseURL=new URL(s),this._signature=a,this.ads=new Ads(this.blocks,this.pageOptions),this.tagManager=new TagManager(i)}injectTagManager(){this.tagManager.inject()}injectAds(){return __awaiter(this,void 0,void 0,(function*(){yield this.ads.inject()}))}waitForBlocks(){return __awaiter(this,void 0,void 0,(function*(){return this.ads.waitForBlocks()}))}get blocks(){return(this._blocks||[]).filter((e=>this.wantsToServeAds?e.type===BLOCKS_TYPE:e.container===BLOCKS_CONTAINER)).map((e=>{const t=this.baseURL;new URLSearchParams(window.location.search).forEach(((e,n)=>{t.searchParams.has(n)||t.searchParams.append(n,e)}));const n=Object.assign({},e);if(n.resultsPageBaseUrl=t.toString(),this.wantsToServeAds){const e=new URLSearchParams;e.append("click","true"),e.append("session",this.uuid);const t=Object.assign({},this._signature);delete t.ad_loaded_callback,delete t.caf_loaded_ms,delete t.caf_timed_out,delete t.flex_rule,delete t.frame,delete t.js_error,delete t.no_ads_redirect,delete t.page_headers,delete t.page_request,delete t.page_loaded_callback,delete t.popup,delete t.screen_resolution,delete t.user_has_ad_blocker,delete t.user_preference,delete t.user_supports_darkmode,delete t.user_using_darkmode,delete t.zeroclick,e.append("signature",encode(t)),n.clicktrackUrl=`${TRACKING_DOMAIN}${ADS_TRACKING_URL}?${e.toString()}`}return n}))}get baseURL(){const e=new URL(this._baseURL.origin);return e.searchParams.append(ADS_PARAM,"1"),this._baseURL.searchParams.forEach(((t,n)=>{e.searchParams.append(n,t)})),e}get pageOptions(){const e=Object.assign({},this._pageOptions);return Object.keys(this._pageOptions).forEach((t=>{t.startsWith("bodis")&&delete e[t]})),e}get cannotLoadAds(){return!this.ads.loaded}get wantsToServeAds(){return new URLSearchParams(window.location.search).has(ADS_PARAM)}get adsMode(){return this.ads.loaded&&this.wantsToServeAds}get adsReady(){return this.wantsToServeAds&&!this.cannotLoadAds}get noAdsRedirectUrl(){const e=new URLSearchParams(window.location.search);return KNOWN_CAF_PARAMS.forEach((t=>e.delete(t))),`${window.location.origin}?${e.toString()}`}get callbacks(){return this.ads.toCallbacks()}toContext(){return Object.assign({blocks:this.blocks,pageOptions:this.pageOptions},this.ads.toContext())}}class CookieConsentManager{constructor(){this.injectScriptTag=()=>__awaiter(this,void 0,void 0,(function*(){return new Promise((e=>{const t=document.createElement("script");t.setAttribute("src",COOKIE_CONSENT_JS_URL),t.addEventListener("load",(()=>this.awaitConsent(e))),t.addEventListener("error",(()=>e(!1))),document.head.appendChild(t)}))}))}inject(){return __awaiter(this,void 0,void 0,(function*(){this.injected||!COOKIE_CONSENT_JS_URL||isLocal()||(this.injected=yield this.injectScriptTag())}))}awaitConsent(e){let t=0;const n=setInterval((()=>{t+=1,20===t&&(clearInterval(n),e(!0)),void 0!==window.__tcfapi&&(window.addEventListener("ConsentActivity",(t=>{const{detail:{status:n}}=t;n&&e(!0)})),clearInterval(n))}),50)}}class App{main(){var e,t;return __awaiter(this,void 0,void 0,(function*(){if(this.parkResponse=decode(),this.findDomainResponse=yield getFindDomain(),!this.findDomainResponse)throw new Error("Domain failed to load.");this.pixels=Pixels.build(this.findDomainResponse),null===(e=this.pixels)||void 0===e||e.listenForEvents(),this.adblock=new Adblock,yield this.adblock.inject(),this.google=Google.build(this.findDomainResponse,this.parkResponse,this.adblock,buildSignature({context:this.context,callbacks:null===(t=this.google)||void 0===t?void 0:t.callbacks},"click")),this.google.injectTagManager();const n=Parking.build(this.findDomainResponse,this.google);Render.prerender(n),this.cookieConsentManager=new CookieConsentManager,yield this.cookieConsentManager.inject();let i=Failed.cannotPark(this.findDomainResponse);if(i)return void(yield this.transitionToFailed(i));yield this.google.injectAds();let s=Disabled.build(this.findDomainResponse,this.adblock.state);if(s)return void(yield this.transitionToDisabled(s));const a=this.adblock.hasAdblocker();a&&this.adblock.handleAdblocked();const o=Sales.build(this.findDomainResponse);if(o)return void(yield this.transitionToSales(o));this.eligibleForZeroClick&&(this.zeroClickResponse=yield getZeroClick(this.context));const r=Redirect.build(this.findDomainResponse,this.zeroClickResponse,this.google);if(r)yield this.transitionToRedirect(r);else{if(a)return s=Disabled.build(this.findDomainResponse,this.adblock.state),void(yield this.transitionToDisabled(s));i=Failed.noSponsors(this.google),i?yield this.transitionToFailed(i):yield this.transitionToParking(n)}}))}transitionToParking(e){return __awaiter(this,void 0,void 0,(function*(){this.state=e,Render.template(e),Render.revealPage(),yield this.google.waitForBlocks(),yield this.track()}))}transitionToRedirect(e){return __awaiter(this,void 0,void 0,(function*(){this.state=e;const t=this.track();Render.revealPage(),yield waiter(e.delay,(e=>Render.loading(e))),yield t,window.location.href=e.url,log(`➡ Redirecting [${e.url}]`)}))}transitionToFailed(e){return __awaiter(this,void 0,void 0,(function*(){this.state=e,Render.message(e.message),Render.revealPage(),yield this.track()}))}transitionToSales(e){return __awaiter(this,void 0,void 0,(function*(){this.state=e,e.init(this.context),yield this.track()}))}transitionToDisabled(e){return __awaiter(this,void 0,void 0,(function*(){this.state=e,Render.message(e.message),Render.revealPage(),yield this.track()}))}track(){var e;return __awaiter(this,void 0,void 0,(function*(){if(!this.state.track)return Promise.resolve();try{const t=this.state.trackingType;return null===(e=this.pixels)||void 0===e||e.dispatchEvent({type:t}),trackVisit({context:this.context,callbacks:this.google.callbacks},t)}catch(e){return}}))}get eligibleForZeroClick(){const{cannotPark:e,canZeroClick:t,zeroClick:n}=this.findDomainResponse,{cannotLoadAds:i,wantsToServeAds:s}=this.google;return this.adblock.state!==Blocking.BLOCKED&&(!!t&&(!!e||(!(!i||s)||!!(null==n?void 0:n.reason))))}get context(){var e,t,n,i;const s=this.findDomainResponse,a=this.parkResponse,o=null===(e=this.state)||void 0===e?void 0:e.toContext(),r=null===(t=this.adblock)||void 0===t?void 0:t.toContext(),d=null===(n=this.google)||void 0===n?void 0:n.toContext(),c=browserState(),l=Object.assign(Object.assign({},null===(i=this.findDomainResponse)||void 0===i?void 0:i.zeroClick),this.zeroClickResponse);return Object.assign(Object.assign(Object.assign(Object.assign(Object.assign(Object.assign(Object.assign({app_version:APP_VERSION},s),a),r),d),o),c),{zeroClick:l})}init(){return __awaiter(this,void 0,void 0,(function*(){try{window.__parkour=this,yield this.main()}catch(e){console.error("app",e);const t=Failed.fromError(e);this.state=t,Render.message(t.message),Render.revealPage()}}))}}(new App).init(),exports.App=App}));
