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picture1_Calculus Pdf 170635 | Math2574 Calculus Three


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File: Calculus Pdf 170635 | Math2574 Calculus Three
northwest arkansas community college science and mathematics division discipline code math course number 2574 course title calculus iii catalog description a continuation of math 2564 topics include parametric curves vectors ...

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             Northwest Arkansas Community College 
                 Science and Mathematics Division 
     
     
    Discipline Code 
    MATH 
     
    Course Number  
    2574 
     
    Course Title 
    Calculus III 
     
    Catalog Description 
    A continuation of MATH 2564.  Topics include parametric curves, vectors and vector-valued function, 
    surfaces, partial differentiation, multiple integrals and vector calculus.   
     
    Prerequisites 
    MATH 2554 and 2564 with a grade of C or better. 
     
    Credit Hours 
    4 credit hours 
     
    Contact hours 
    60 contact hours 
     
    Load hours 
    4 load hours    
     
    Semesters Offered  
    Fall and Spring  
     
    ACTS Equivalent 
    MATH 2603, Calculus III 
     
    Grade Mode 
    A-F 
     
     
     
     
     
     
     
         Learning Outcomes 
         Upon successful completion of this course students will exhibit mastery of certain knowledge and 
         basic skills. These skills include, but are not limited to:  
          
             •   Analyze and perform operations with vectors 
             •   Graph in 3-space 
             •   Use calculus of vector-valued functions including velocity, acceleration, arc-length and 
                 curvature 
             •   Differentiate multivariate functions 
             •   Calculate and analyze the directional derivative and gradient 
             •   Optimize functions of several variables using the Second Partials Test and Lagrange 
                 Multipliers 
             •   Integrate and apply techniques of multiple integration 
             •   Set up, analyze, and evaluate integrals using vector calculus (including line integrals, Green’s 
                 Theorem, Divergence Theorem, Stokes’ Theorem) 
          
          
             •  General Education Outcomes Supported 
             •   Students develop higher order thinking skills. 
             •   Students achieve mathematical literacy 
              
          
         Standard Practices 
                 Topics list  
             •   Vectors and the Geometry of Space 
             •   Vector-Valued Functions 
             •   Functions of Several Variables including, but not limited to, Partial Derivatives, Directional 
                 Derivatives, and Optimization 
             •   Multiple Integration including rectangular, cylindrical, and spherical coordinate systems 
             •   Vector Calculus including line integrals, Green’s Theorem, Stokes’ Theorem, and Divergence 
                 Theorem 
                          
                 Learning activities 
             •   Courses must, at a minimum, cover the core learning outcomes for each topic. Faculty may 
                 add to these outcomes, but may not omit any of them.  
             •   The content of the course may be taught with or without the use of a graphing calculator as 
                 deemed appropriate by the instructor. 
          
                 Assessments  
             •   There will be a common departmental portion on the required comprehensive final exam. 
             •   These questions will be in direct support of the Learning Outcomes. 
             •   Instructors will report the results of the individual departmental questions when grades are 
                 submitted. 
          
                 Grading Guidelines 
             •   At least 70% of the student’s final grade should come from proctored work. 
                  
          
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...Northwest arkansas community college science and mathematics division discipline code math course number title calculus iii catalog description a continuation of topics include parametric curves vectors vector valued function surfaces partial differentiation multiple integrals prerequisites with grade c or better credit hours contact load semesters offered fall spring acts equivalent mode f learning outcomes upon successful completion this students will exhibit mastery certain knowledge basic skills these but are not limited to analyze perform operations graph in space use functions including velocity acceleration arc length curvature differentiate multivariate calculate the directional derivative gradient optimize several variables using second partials test lagrange multipliers integrate apply techniques integration set up evaluate line green s theorem divergence stokes general education supported develop higher order thinking achieve mathematical literacy standard practices list geo...

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