Math 2130 Section 101 Homepage

News & Announcements

08/01 Our last quiz is Thursday. Also, Homework #4 is due Thursday as well.

      The Final Exam is Friday at 10:20am in our regular classroom.
      However, come as early as you want! My other class starts their exam at 8am (same room).

      Supplemental Problems: Vector Calculus [Source: (.tex)]

      Last Handouts:      
      Divergence, Curl, and Forms [Source: (.tex)]
      The Big Theorems [Source: (.tex)]
      Verify Stokes' Example... Now typed up: (.pdf) [Source: (.tex)]

      I will allow everyone to bring one page of notes (one side of a standard size 
      piece of paper) to the final exam. Also, the final exam can replace your lowest
      test score (if this helps). Prepare well!

07/28 Reminder: Homework #3 is due tomorrow (Friday, July 29th).

      A handout to discuss today/tomorrow: 
      Divergence, Curl, and Forms [Source: (.tex)]

      Supplemental Problems for after Test #3: 
      Vector Calculus [Source: (.tex)]

      Test #3 is Monday, August 1st. It covers Chapter 15 as well as the handouts on 
      Double Riemann sums and vector fields. 

      Relevant handouts:
      Double Riemann Sums Supplemental Homework (.pdf) [Source: (.tex)]
      Vector Fields [Source: (.tex)]

      Examples:
      Spherical Cap Example (.pdf) [Maple: (.mw)]
      Examples of centroids handout [Source: (.zip)]
      Triple Integral Example (.pdf) [Maple: (.mw)]
      Triple Integral Example (.pdf) [Maple: (.mw)]

      I will provide the change of coordinate formulas for rectangular to spherical coordinates:
      
          $x=\rho\cos(\theta)\sin(\varphi), y=\rho\sin(\theta)\sin(\varphi), z= \rho\cos(\varphi)$.

      as well as the spherical coordinates Jacobian: 
      
          $J = \rho^2\sin(\varphi)$.

      If I give a center of mass or centroid problem, I will provide formulas for mass and moments.
      
      Old exams are posted here

      Here are a list of relevant review problems:

      Spring 2021 Test #3: All of it except problem #3.

      Summer 2019 Test #3: All of it except problem #1.

        Fall 2016 Test #3: All of it except problem #1b.

      Summer 2016 Test #3: All of it.
        
      Spring 2016 Test #3: All of it except problem 1b.
      
      Summer 2015 Test #3: All of it.
        
        Fall 2014 Test #3: All of it except problem 1b and 1c.

      Summer 2014 Test #3: All of it.

        Fall 2013 Test #3: All of it except problem 1b and 1c.

      Spring 2013 Test #3: All of it.
      
        Fall 2012 Test #3: All of it.
        
      Spring 2012 Test #3: All of it except problem 7.

        Fall 2011 Test #3: Problems 1-5.
     
      Spring 2011 Test #3: All of it except problem 3.

        Fall 2009 Test #3: All of it (includes a prob. dens. function problem).
               Final Exam: Problem 3 (a prob. den. function problem).

        Fall 2007 Exam #2: Problems 3-6.

      Spring 2007 Exam #2: Problems 3,4,6, and 8.
               Final Exam: Problems 5-7.
               
      Spring 2006 Exam #2: Problems 1-4.

        Fall 2005 Exam #2: Problems 4-7.

07/22 Double Riemann Sums Supplemental Homework (.pdf) [Source: (.tex)]

      Examples:
      Triple Integral Example (.pdf) [Maple: (.mw)]
      Triple Integral Example (.pdf) [Maple: (.mw)]

      Homework #2 is due today.
      Homework #3 is due next Friday (July 29th).

07/20 Reminder: Homework #2 is due Friday. 

      Test #2 is Monday (7/25). Although we should finish its material today.
      [So the stuff we cover later this week on integration will not be on Test #2.]

      Test #2 will cover Sections 12.6 and 14.1-14.9 as well as our handouts on 
      Quadratic Approximations (.pdf) [Answers (.mw) or (.html)] and Differentiability (.pdf) [Source: (.tex)]

      For the most part, all Test #2's are relevant except that some contain a problem
      on Riemann sums - these can be skipped for now. 

      Relevant old tests/test problems:

      All of Test #2's from Spring 2011 up to Spring 2021 with the 
      following exceptions:
           Summer 2016 skip #2
           Spring 2012 skip #7
             Fall 2011 skip #10 (both sections)
      
      
      Fall 2009 Test #2 Section 101: 2,3,4,5,7,8
                        Section 102: 2,3,4,5,6b,7,8
                       
      Fall 2007 Exam #1: 6,7,8
                Exam #2: 1,2
             
    Spring 2007 Exam #1: 1,4,6,8,9
                Exam #2: 1,5
           Sample Final: 3,4

    Spring 2006 Exam #1: 4,5,6,7

      Fall 2005 Exam #1: 1,3,4,5,8
                Exam #2: 2,3

07/14 Links to upcoming handouts...

      Quadratic Approximations Handout (.pdf) [Source: (.tex)] 
      and Maple worksheet with Problem Answers (.mw) [HTML Export of Problem Answers]
      
      Differentiability (.pdf) [Source: (.tex)]

07/11 Today's handout: Differential Geometry Summary (.pdf) [Source: (.tex)]

      Reminders:
      • Test #1 is Wednesday (July 13th).
      • Homework #1 is due Thursday, July 14th. 

      Test #1 is Wednesday at 10:20am (you will have the full period):
      -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=--=-=-=-=-=-=-=-=-=-=-=-=-=-
      The test will cover the parts of sections 11.1, 11.2, 12.1-12.5, 13.1-13.5, & 16.1.
      Our handout is worth studying: Differential Geometry Summary (.pdf) [Source: (.tex)]
      [You may skip center of mass and centroid problems for now.]

      Old tests can be found here.
    
      While old tests are a good resource for getting an idea of what kinds of things I like
      to ask. Keep in mind that we switched textbooks a year or two ago so there are a few topics 
      that aren't as relevant and a few that are missing. For example, you won't find much 
      referencing torsion. 

      Studying old tests is helpful, but make sure you also look over your notes from class
      and try lots of suggested homework problems.

      Relevant old tests/test problems:

      All of Test #1's from Spring 2012 up to Spring 2021.

        Fall 2011 Test #1: all of it.
                  Test #3: 6
                  
      Spring 2011 Test #1: all of it.
               Final Exam: 1ab, 2, 5
               
        Fall 2009    Test #1 Section 101: 1, 2, 3a, 3c, 5b, 6 
                     Test #1 Section 102: 1, 2, 3, 5, 7b, 7c, 8
              Test #2 Sections 101 & 102: 1
           Final Exam Sections 101 & 102: 1, 4

      Rutgers Spring 2007 Exam #1: 2, 3, 5, 7
                          Exam #2: 2
                Sample Final Exam: 1, 2
      
        Rutgers Fall 2005 Exam #1: 2, 6, 7, 9
                          Exam #2: 9
      
      Possibly More Challenging Problems (From Honors Classes):
      
        Rutgers Fall 2007 Exam #1: 1, 2, 3, 4, 5a
                          Exam #2: 7
      
      Rutgers Spring 2006 Exam #1: 1, 2, 3a, 3b, 6a
                          Exam #2: 8      

06/29 Syllabus, tenative schedule, & suggested homework
      pages are posted & updated. Also, AsULearn activated.

      I have posted Maple homework assignments for this class:
      Homework #1 is due Thursday, July 14th. 
      Homework #2 is due Friday, July 22nd. 
      Homework #3 is due Friday, July 29th.
      Homework #4 is due Thursday, August 4th.

      Math lab & Summer Tutoring information can be found here.

01/10 Course Data
      MAT 2130 CALCUL ANALY GEOM III
	  
      Section 101 
      Meeting Times: MTWRF 10:20am-12:30pm 
           Location: WA 314
         Final Exam: Aug. 5th 10:20am-12:30pm [last day of class]

      Course Title & Description:
      -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
      MAT 2130. Calculus With Analytic Geometry III (4 credits)
	  A study of parametric equations, vectors, vector-valued functions, 
	  function of several variables, double and triple integrals, and 
	  vector analysis.
      Prerequisite: MAT 1120 (with a grade of "C-" or higher). 
	  Demonstrated Readiness for College-level Math. 
      -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

      Any questions about this class? 
      Send me an email at cookwj@appstate.edu