Tricky exercises for Calculus II, where can I find them?












0












$begingroup$


I'm getting myself ready for university exam of calculus II, but I'm struggling to find exercises that are difficult enough to be really prepared for an exam. The topics I'm interested to are:




  • Tangent plane and normal vector to a surface

  • Maxima and minima research for multivariable functions

  • Partial derivatives and gradient vector

  • Double and triple integrals


Thanks for any reference (also online PDFs are OK)










share|cite|improve this question









$endgroup$

















    0












    $begingroup$


    I'm getting myself ready for university exam of calculus II, but I'm struggling to find exercises that are difficult enough to be really prepared for an exam. The topics I'm interested to are:




    • Tangent plane and normal vector to a surface

    • Maxima and minima research for multivariable functions

    • Partial derivatives and gradient vector

    • Double and triple integrals


    Thanks for any reference (also online PDFs are OK)










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I'm getting myself ready for university exam of calculus II, but I'm struggling to find exercises that are difficult enough to be really prepared for an exam. The topics I'm interested to are:




      • Tangent plane and normal vector to a surface

      • Maxima and minima research for multivariable functions

      • Partial derivatives and gradient vector

      • Double and triple integrals


      Thanks for any reference (also online PDFs are OK)










      share|cite|improve this question









      $endgroup$




      I'm getting myself ready for university exam of calculus II, but I'm struggling to find exercises that are difficult enough to be really prepared for an exam. The topics I'm interested to are:




      • Tangent plane and normal vector to a surface

      • Maxima and minima research for multivariable functions

      • Partial derivatives and gradient vector

      • Double and triple integrals


      Thanks for any reference (also online PDFs are OK)







      calculus reference-request






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 10 at 20:02









      Baffo rastaBaffo rasta

      14311




      14311






















          1 Answer
          1






          active

          oldest

          votes


















          2












          $begingroup$

          References for optimization (finding maxima and minima)



          Boyd, Stephen, and Lieven Vandenberghe. Convex optimization. Cambridge university press, 2004.



          Wright, Stephen, and Jorge Nocedal. "Numerical optimization." Springer Science 35.67-68 (1999): 7.



          and for some calculus



          Stewart, James. Calculus. Cengage Learning, 2011.






          share|cite|improve this answer









          $endgroup$













            Your Answer





            StackExchange.ifUsing("editor", function () {
            return StackExchange.using("mathjaxEditing", function () {
            StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
            StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
            });
            });
            }, "mathjax-editing");

            StackExchange.ready(function() {
            var channelOptions = {
            tags: "".split(" "),
            id: "69"
            };
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function() {
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled) {
            StackExchange.using("snippets", function() {
            createEditor();
            });
            }
            else {
            createEditor();
            }
            });

            function createEditor() {
            StackExchange.prepareEditor({
            heartbeatType: 'answer',
            autoActivateHeartbeat: false,
            convertImagesToLinks: true,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: 10,
            bindNavPrevention: true,
            postfix: "",
            imageUploader: {
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            },
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            });


            }
            });














            draft saved

            draft discarded


















            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3069112%2ftricky-exercises-for-calculus-ii-where-can-i-find-them%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown

























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2












            $begingroup$

            References for optimization (finding maxima and minima)



            Boyd, Stephen, and Lieven Vandenberghe. Convex optimization. Cambridge university press, 2004.



            Wright, Stephen, and Jorge Nocedal. "Numerical optimization." Springer Science 35.67-68 (1999): 7.



            and for some calculus



            Stewart, James. Calculus. Cengage Learning, 2011.






            share|cite|improve this answer









            $endgroup$


















              2












              $begingroup$

              References for optimization (finding maxima and minima)



              Boyd, Stephen, and Lieven Vandenberghe. Convex optimization. Cambridge university press, 2004.



              Wright, Stephen, and Jorge Nocedal. "Numerical optimization." Springer Science 35.67-68 (1999): 7.



              and for some calculus



              Stewart, James. Calculus. Cengage Learning, 2011.






              share|cite|improve this answer









              $endgroup$
















                2












                2








                2





                $begingroup$

                References for optimization (finding maxima and minima)



                Boyd, Stephen, and Lieven Vandenberghe. Convex optimization. Cambridge university press, 2004.



                Wright, Stephen, and Jorge Nocedal. "Numerical optimization." Springer Science 35.67-68 (1999): 7.



                and for some calculus



                Stewart, James. Calculus. Cengage Learning, 2011.






                share|cite|improve this answer









                $endgroup$



                References for optimization (finding maxima and minima)



                Boyd, Stephen, and Lieven Vandenberghe. Convex optimization. Cambridge university press, 2004.



                Wright, Stephen, and Jorge Nocedal. "Numerical optimization." Springer Science 35.67-68 (1999): 7.



                and for some calculus



                Stewart, James. Calculus. Cengage Learning, 2011.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Jan 10 at 20:12









                Mostafa AyazMostafa Ayaz

                15.7k3939




                15.7k3939






























                    draft saved

                    draft discarded




















































                    Thanks for contributing an answer to Mathematics Stack Exchange!


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid



                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.


                    Use MathJax to format equations. MathJax reference.


                    To learn more, see our tips on writing great answers.




                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function () {
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3069112%2ftricky-exercises-for-calculus-ii-where-can-i-find-them%23new-answer', 'question_page');
                    }
                    );

                    Post as a guest















                    Required, but never shown





















































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown

































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown







                    Popular posts from this blog

                    Human spaceflight

                    Can not write log (Is /dev/pts mounted?) - openpty in Ubuntu-on-Windows?

                    張江高科駅