diff --git a/src/ol/interaction/interaction.js b/src/ol/interaction/interaction.js
index 3fdb640b2f..51625a9eb3 100644
--- a/src/ol/interaction/interaction.js
+++ b/src/ol/interaction/interaction.js
@@ -6,6 +6,7 @@ goog.require('ol');
 goog.require('ol.Object');
 goog.require('ol.easing');
 goog.require('ol.interaction.Property');
+goog.require('ol.math');
 
 
 /**
@@ -180,6 +181,12 @@ ol.interaction.Interaction.zoom = function(view, resolution, opt_anchor, opt_dur
 ol.interaction.Interaction.zoomByDelta = function(view, delta, opt_anchor, opt_duration) {
   var currentResolution = view.getResolution();
   var resolution = view.constrainResolution(currentResolution, delta, 0);
+  var resolutions = view.getResolutions();
+
+  resolution = ol.math.clamp(
+      resolution,
+      view.getMinResolution() || resolutions[resolutions.length - 1],
+      view.getMaxResolution() || resolutions[0]);
 
   // If we have a constraint on center, we need to change the anchor so that the
   // new center is within the extent. We first calculate the new center, apply
diff --git a/src/ol/view.js b/src/ol/view.js
index 7b5ce16067..0df83f32d5 100644
--- a/src/ol/view.js
+++ b/src/ol/view.js
@@ -180,6 +180,12 @@ ol.View.prototype.applyOptions_ = function(options) {
   } else if (options.zoom !== undefined) {
     properties[ol.ViewProperty.RESOLUTION] = this.constrainResolution(
         this.maxResolution_, options.zoom - this.minZoom_);
+
+    if (this.resolutions_) { // in case map zoom is out of min/max zoom range
+      properties[ol.ViewProperty.RESOLUTION] = ol.math.clamp(
+          Number(this.getResolution() || properties[ol.ViewProperty.RESOLUTION]),
+          this.minResolution_, this.maxResolution_);
+    }
   }
   properties[ol.ViewProperty.ROTATION] =
       options.rotation !== undefined ? options.rotation : 0;
@@ -815,7 +821,7 @@ ol.View.prototype.getZoomForResolution = function(resolution) {
   var max, zoomFactor;
   if (this.resolutions_) {
     var nearest = ol.array.linearFindNearest(this.resolutions_, resolution, 1);
-    offset += nearest;
+    offset = nearest;
     max = this.resolutions_[nearest];
     if (nearest == this.resolutions_.length - 1) {
       zoomFactor = 2;
@@ -1103,8 +1109,9 @@ ol.View.createResolutionConstraint_ = function(options) {
 
   if (options.resolutions !== undefined) {
     var resolutions = options.resolutions;
-    maxResolution = resolutions[0];
-    minResolution = resolutions[resolutions.length - 1];
+    maxResolution = resolutions[minZoom];
+    minResolution = resolutions[maxZoom] !== undefined ?
+      resolutions[maxZoom] : resolutions[resolutions.length - 1];
     resolutionConstraint = ol.ResolutionConstraint.createSnapToResolutions(
         resolutions);
   } else {
diff --git a/test/spec/ol/view.test.js b/test/spec/ol/view.test.js
index de81d56133..2ee3aeeeba 100644
--- a/test/spec/ol/view.test.js
+++ b/test/spec/ol/view.test.js
@@ -1147,6 +1147,56 @@ describe('ol.View', function() {
 
   });
 
+  describe('#setMaxZoom', function() {
+    describe('with resolutions property in view', function() {
+      it('changes the zoom level when the level is over max zoom', function() {
+        var view = new ol.View({
+          resolutions: [100000, 50000, 25000, 12500, 6250, 3125],
+          zoom: 4
+        });
+
+        view.setMaxZoom(2);
+        expect(view.getZoom()).to.be(2);
+      });
+    });
+
+    describe('with no resolutions property in view', function() {
+      it('changes the zoom level when the level is over max zoom', function() {
+        var view = new ol.View({
+          zoom: 4
+        });
+
+        view.setMaxZoom(2);
+        expect(view.getZoom()).to.be(2);
+      });
+    });
+  });
+
+  describe('#setMinZoom', function() {
+    describe('with resolutions property in view', function() {
+      it('changes the zoom level when the level is under min zoom', function() {
+        var view = new ol.View({
+          resolutions: [100000, 50000, 25000, 12500, 6250, 3125],
+          zoom: 4
+        });
+
+        view.setMinZoom(5);
+        expect(view.getZoom()).to.be(5);
+      });
+    });
+
+    describe('with no resolutions property in view', function() {
+      it('changes the zoom level when the level is under min zoom', function() {
+        var view = new ol.View({
+          zoom: 4
+        });
+
+        view.setMinZoom(5);
+        expect(view.getZoom()).to.be(5);
+      });
+    });
+  });
+
   describe('#calculateExtent', function() {
     it('returns the expected extent', function() {
       var view = new ol.View({
@@ -1438,5 +1488,4 @@ describe('ol.View.isNoopAnimation()', function() {
       expect(noop).to.equal(c.noop);
     });
   });
-
 });