diff --git a/angular-oauth2/angular-oauth2-tests.ts b/angular-oauth2/angular-oauth2-tests.ts
index 2b2328d5ee..042fe537aa 100644
--- a/angular-oauth2/angular-oauth2-tests.ts
+++ b/angular-oauth2/angular-oauth2-tests.ts
@@ -1,7 +1,7 @@
 import * as angular from 'angular';
 
 angular.module('angular-oauth2-test', ['angular-oauth2'])
-       .config(['OAuthProvider', function(OAuthProvider:angular.oauth2.OAuthProvider){
+       .config(['OAuthProvider', (OAuthProvider: angular.oauth2.OAuthProvider) => {
             OAuthProvider.configure({
                 baseUrl: 'https://api.website.com',
                 clientId: 'CLIENT_ID',
diff --git a/angular-oauth2/tsconfig.json b/angular-oauth2/tsconfig.json
index 717721bf79..e8a5250748 100644
--- a/angular-oauth2/tsconfig.json
+++ b/angular-oauth2/tsconfig.json
@@ -2,6 +2,10 @@
     "compilerOptions": {
         "module": "commonjs",
         "target": "es6",
+        "lib": [
+            "es6",
+            "dom"
+        ],
         "noImplicitAny": true,
         "noImplicitThis": true,
         "strictNullChecks": true,
diff --git a/jquery/index.d.ts b/jquery/index.d.ts
index 3a785530aa..0a47546193 100644
--- a/jquery/index.d.ts
+++ b/jquery/index.d.ts
@@ -1166,25 +1166,28 @@ interface JQueryStatic {
      * A generic iterator function, which can be used to seamlessly iterate over both objects and arrays. Arrays and array-like objects with a length property (such as a function's arguments object) are iterated by numeric index, from 0 to length-1. Other objects are iterated via their named properties.
      *
      * @param collection The object or array to iterate over.
-     * @param callback The function that will be executed on every object.
+     * @param callback The function that will be executed on every object. Will break the loop by returning false.
+     * @returns the first argument, the object that is iterated.
      * @see {@link https://api.jquery.com/jQuery.each/#jQuery-each-array-callback}
      */
     each<T>(
         collection: T[],
-        callback: (indexInArray: number, valueOfElement: T) => any
-        ): any;
+        callback: (indexInArray: number, valueOfElement: T) => boolean | void
+        ): T[];
 
     /**
      * A generic iterator function, which can be used to seamlessly iterate over both objects and arrays. Arrays and array-like objects with a length property (such as a function's arguments object) are iterated by numeric index, from 0 to length-1. Other objects are iterated via their named properties.
      *
      * @param collection The object or array to iterate over.
-     * @param callback The function that will be executed on every object.
+     * @param callback The function that will be executed on every object. Will break the loop by returning false.
+     * @returns the first argument, the object that is iterated.
      * @see {@link https://api.jquery.com/jQuery.each/#jQuery-each-object-callback}
      */
-    each(
-        collection: any,
-        callback: (indexInArray: any, valueOfElement: any) => any
-        ): any;
+    each<T extends Object>(
+        collection: T,
+        // TODO: `(keyInObject: keyof T, valueOfElement: T[keyof T])`, when TypeScript 2.1 allowed in repository
+        callback: (keyInObject: string, valueOfElement: any) => boolean | void
+        ): T;
 
     /**
      * Merge the contents of two or more objects together into the first object.
@@ -1240,7 +1243,7 @@ interface JQueryStatic {
      * @param obj Object to test whether or not it is an array.
      * @see {@link https://api.jquery.com/jQuery.isArray/}
      */
-    isArray(obj: any): boolean;
+    isArray(obj: any): obj is Array<any>;
     /**
      * Check to see if an object is empty (contains no enumerable properties).
      *
@@ -1254,7 +1257,7 @@ interface JQueryStatic {
      * @param obj Object to test whether or not it is a function.
      * @see {@link https://api.jquery.com/jQuery.isFunction/}
      */
-    isFunction(obj: any): boolean;
+    isFunction(obj: any): obj is Function;
     /**
      * Determines whether its argument is a number.
      *
@@ -1275,7 +1278,7 @@ interface JQueryStatic {
      * @param obj Object to test whether or not it is a window.
      * @see {@link https://api.jquery.com/jQuery.isWindow/}
      */
-    isWindow(obj: any): boolean;
+    isWindow(obj: any): obj is Window;
     /**
      * Check to see if a DOM node is within an XML document (or is an XML document).
      *
@@ -1360,7 +1363,7 @@ interface JQueryStatic {
      * @param obj Object to get the internal JavaScript [[Class]] of.
      * @see {@link https://api.jquery.com/jQuery.type/}
      */
-    type(obj: any): string;
+    type(obj: any): "array" | "boolean" | "date" | "error" | "function" | "null" | "number" | "object" | "regexp" | "string" | "symbol" | "undefined";
 
     /**
      * Sorts an array of DOM elements, in place, with the duplicates removed. Note that this only works on arrays of DOM elements, not strings or numbers.
@@ -1368,7 +1371,7 @@ interface JQueryStatic {
      * @param array The Array of DOM elements.
      * @see {@link https://api.jquery.com/jQuery.unique/}
      */
-    unique(array: Element[]): Element[];
+    unique<T extends Element>(array: T[]): T[];
 
     /**
      * Parses a string into an array of DOM nodes.
@@ -3301,10 +3304,10 @@ interface JQuery {
     /**
      * Iterate over a jQuery object, executing a function for each matched element.
      *
-     * @param func A function to execute for each matched element.
+     * @param func A function to execute for each matched element. Can stop the loop by returning false.
      * @see {@link https://api.jquery.com/each/}
      */
-    each(func: (index: number, elem: Element) => any): JQuery;
+    each(func: (index: number, elem: Element) => boolean | void): JQuery;
 
     /**
      * Retrieve one of the elements matched by the jQuery object.
@@ -3457,7 +3460,7 @@ interface JQuery {
      * @param func A function used as a test for each element in the set. this is the current DOM element.
      * @see {@link https://api.jquery.com/filter/#filter-function}
      */
-    filter(func: (index: number, element: Element) => any): JQuery;
+    filter(func: (index: number, element: Element) => boolean): JQuery;
     /**
      * Reduce the set of matched elements to those that match the selector or pass the function's test.
      *
diff --git a/jquery/jquery-tests.ts b/jquery/jquery-tests.ts
index e11a8b806f..d2d58aa2a2 100644
--- a/jquery/jquery-tests.ts
+++ b/jquery/jquery-tests.ts
@@ -100,16 +100,18 @@ function test_ajax() {
             if (getAllResponseHeaders()) {
                 return getAllResponseHeaders();
             }
-            var allHeaders = "";
-            $(["Cache-Control", "Content-Language", "Content-Type",
-                    "Expires", "Last-Modified", "Pragma"]).each(function (i, header_name) {
 
-                        if (xhr.getResponseHeader(header_name)) {
-                            allHeaders += header_name + ": " + xhr.getResponseHeader(header_name) + "\n";
-                        }
-                        return allHeaders;
-                    });
+            var allHeaders = "";
+            var headersFieldNames = ["Cache-Control", "Content-Language", "Content-Type",
+                "Expires", "Last-Modified", "Pragma"];
+            $(headersFieldNames).each(function (i, header_name) {
+                if (xhr.getResponseHeader(header_name)) {
+                    allHeaders += header_name + ": " + xhr.getResponseHeader(header_name) + "\n";
+                }
+            });
+            return allHeaders;
         };
+
         return xhr;
     };
     $.ajax({
@@ -1392,9 +1394,24 @@ function test_detach() {
 }
 
 function test_each() {
-    $.each([52, 97], function (index, value) {
+    var numArray: number[];
+    numArray = $.each([1, 2, 3, 4], function (index: number, value: number) {
         alert(index + ': ' + value);
     });
+    numArray = $.each([1, 2, 3, 4], function (index: number, value: number) {
+        alert(index + ': ' + value);
+        return value < 2;
+    });
+
+    var res: {one: number, 2: string};
+    res = $.each({ one: 1, 2: "two" }, function(key: string, value: any) {
+        alert(key + ': ' + value);
+    });
+    res = $.each({ one: 1, 2: "two" }, function(key: string, value: any) {
+        alert(key + ': ' + value);
+        return key === "2";
+    });
+
     var map = {
         'flammable': 'inflammable',
         'duh': 'no duh'
@@ -1404,8 +1421,7 @@ function test_each() {
     });
     var arr = ["one", "two", "three", "four", "five"];
     var obj = { one: 1, two: 2, three: 3, four: 4, five: 5 };
-    // TODO: Should not need explicit type annotation https://github.com/Microsoft/TypeScript/issues/10072
-    jQuery.each<string>(arr, function () {
+    jQuery.each(arr, function () {
         $("#" + this).text("Mine is " + this + ".");
         return (this != "three");
     });
@@ -1482,9 +1498,10 @@ function test_error() {
             $(this).hide();
         })
         .attr("src", "missing.png");
+    jQuery.error("Oups");
     jQuery.error = (message?: string) => {
         console.error(message); return this;
-    }
+    };
 }
 
 function test_eventParams() {
@@ -1516,7 +1533,7 @@ function test_eventParams() {
     function propStopped(e) {
         var msg = "";
         if (e.isPropagationStopped()) {
-            msg = "called"
+            msg = "called";
         } else {
             msg = "not called";
         }
@@ -1703,11 +1720,11 @@ function test_fadeToggle() {
 function test_filter() {
     $('li').filter(':even').css('background-color', 'red');
     $('li').filter(function (index) {
-        return index % 3 == 2;
+        return index % 3 === 2;
     }).css('background-color', 'red');
     $("div").css("background", "#b4b0da")
         .filter(function (index) {
-            return index == 1 || $(this).attr("id") == "fourth";
+            return index === 1 || $(this).attr("id") === "fourth";
         })
         .css("border", "3px double red");
     $("div").filter(document.getElementById("unique"));
@@ -1879,7 +1896,7 @@ function test_getJSON() {
     function (data) {
         $.each(data.items, function (i, item) {
             $("<img/>").attr("src", item.media.m).appendTo("#images");
-            if (i == 3) return false;
+            if (i === "3") return false;
         });
     });
     $.getJSON("test.js", function (json) {
@@ -2524,6 +2541,17 @@ function test_is() {
     });
 }
 
+function test_isTypeGuards() {
+    var foo: number[] | ((x: string) => number) | Window;
+    if (jQuery.isArray(foo)) {
+        foo.push(1515);
+    } else if (jQuery.isWindow(foo)) {
+        foo.close();
+    } else if (jQuery.isFunction(foo)) {
+        foo("hello world");
+    }
+}
+
 function test_isArray() {
     $("b").append("" + $.isArray([]));
 }
@@ -2582,6 +2610,16 @@ function test_isXMLDoc() {
     jQuery.isXMLDoc(document.body);
 }
 
+function test_unique() {
+    jQuery.unique($('div.foo, div.bar').get());
+    jQuery.unique($('div.foo, div.bar').toArray());
+
+    var divs: HTMLDivElement[];
+    var unique: HTMLDivElement[];
+    unique = jQuery.unique(divs);
+    unique = jQuery.unique<HTMLDivElement>(divs);
+}
+
 function test_jQuery() {
     $('div.foo');
     $('div.foo').click(function () {