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					                          BROWARD COMMUNITY COLLEGE
                                COURSE OUTLINE


LAST REVIEW: 2003-2004                      NEXT REVIEW: 2008-2009                                             STATUS: A
   (i.e. 2003-2004)                            (i.e. 2008-2009)                                                  (A, I, D)


COURSE TITLE: Calculus for Business, Social and Life Sciences
COMMON COURSE NUMBER: MAC 2233
CREDIT HOURS: 3                                                   CONTACT HOUR BREAKDOWN
                                                                                (per 16 week term)

CLOCK HOURS:                                                        Lecture: 48                      Lab:
  (Voc. Course ONLY)
                                                                    Clinic:                          Other:

PREREQUISITE(S): MAC 1105
COREQUISITE(S): None
PRE/COREQUISITE(S): None

COURSE DESCRIPTION (750 characters, maximum):

This is a general education course which includes the college-level skills of calculus including functions,
graphs, limits, differentiation, integration, average and instantaneous rates of change, and other
applications. Meets Area 5A of the general education requirements for the A.A. degree. Meets Areas 4 or
5 of the general education requirements for the A.S. degree. Recommendation of the Mathematic
Department or at least A grade of “C” in the prerequisite course is required.
General Education Requirements – Associate of Arts Degree (AA), meets Area(s):                                Area
General Education Requirements – Associate in Science Degree (AS), meets Area(s):                             Area
General Education Requirements – Associate in Applied Science Degree (AAS), meets Area(s):                    Area


UNIT TITLES
 1. Functions, Graphs, Limits

 2. Derivatives

 3. Integration

 4. Exponential and Logarithmic Functions




                                                                  Page 1 of 6
                                BROWARD COMMUNITY COLLEGE
                                      COURSE OUTLINE

EVALUATION:
Please provide a brief description (250 characters maximum) that details how students will be assessed on the course outcomes.

Students will be assessed on the course outcomes of this course in a variety of ways. They will be assessed with chapter
tests, quizzes on one or more sections, midterm exams and final exams.


                         *** Complete the following only if course is seeking general education status ***

GENERAL EDUCATION Competencies and Skills *:
Please highlight in green font all Competencies/Skills from the list below that apply to this course. In the box to the right of the
Competency/Skill, enter all specific learning outcome numbers (i.e. 1.1, 2.7, 5.12) that apply.

 1.   Read with critical comprehension

 2.   Speak and listen effectively

 3.   Write clearly and coherently

 4. Think creatively, logically, critically, and reflectively              1.1 – 1.6, 2.1 – 2.9, 3.1 – 3.4, 4.1 – 4.7
          (analyze, synthesize, apply, and evaluate)

 5.   Demonstrate and apply literacy in its various forms:                 1.1 – 1.6, 2.1 – 2.9, 3.1 – 3.4, 4.1 – 4.7
             (highlight in green ALL that apply)
      ( 1. technological, 2. informational, 3. mathematical,
        4. scientific, 5. cultural, 6. historical, 7. aesthetic and/or
        8. environmental )

 6.   Apply problem solving techniques to real-world                       1.1 – 1.6, 2.1 – 2.9, 3.1 – 3.4, 4.1 – 4.7
      experiences

 7.   Apply methods of scientific inquiry

 8.   Demonstrate an understanding of the physical and
      biological environment and how it is impacted by
      human beings

 9.   Demonstrate an understanding of and appreciation
      for human diversities and commonalities

 10. Collaborate with others to achieve common goals.

 11. Research, synthesize and produce original work

 12. Practice ethical behavior

 13. Demonstrate self-direction and self motivation

 14. Assume responsibility for and understand the impact
     of personal behaviors on self and society

 15. Contribute to the welfare of the community

                     *   General Education Competencies and Skills endorsed by ’05-’06 General Education Task Force




                                                                         Page 2 of 6
             BROWARD COMMUNITY COLLEGE
                   COURSE OUTLINE


                             Common Course Number: MAC 2233

UNITS

    Unit 1   Functions, Graphs, Limits

             General Outcome:

             1.0    The student shall be able to demonstrate knowledge of the concepts of
                    function, graphing and limits.


             Specific Measurable Learning Outcomes:

             Upon successful completion of this unit, the student shall be able to:

             1.1*    Define, graph, and write the equation for a linear function in the form f(x) =
                     mx + b.

             1.2*    Find the slope and intercepts of a linear function.

             1.3*    Find the vertex of a quadratic function, identify its maximum or minimum
                     value, and sketch its graph.

             1.4     Evaluate the limit of a function.

             1.5     Determine the continuity of a function at a point or on an interval.

             1.6     Analyze functions related to problems including, but not restricted to:

                     1.6.1    Fixed and variable costs

                     1.6.2    Revenues and profit

                     1.6.3    Break-even point

                     *        Review as needed




                                            Page 3 of 6
         BROWARD COMMUNITY COLLEGE
               COURSE OUTLINE


                        Common Course Number: MAC 2233

Unit 2   Derivatives

         General Outcome:

         2.0   The student shall be able to demonstrate knowledge of the meaning of
               derivatives, their applications, and, and rules of differentiation.


         Specific Measurable Learning Outcomes:

         Upon successful completion of this unit, the student shall be able to:


         2.1    Demonstrate knowledge of the meaning of a derivative.


         2.2    State and apply the definition of derivative.

         2.3    Recognize the different derivative notations.

         2.4    State and apply the rules of differentiation.

         2.5    Find higher order derivatives with and without technology as appropriate.

         2.6    Use first and second derivatives to find increasing and decreasing intervals,
                concavity, critical values, relative extrema, and absolute extrema.

         2.7    Identify vertical and horizontal asymptotes of a rational function.

         2.8    Sketch curves with technology as appropriate.

         2.9    Apply derivatives to problems including, but not restricted to:

                2.8.1    Marginal analysis
                2.8.2    Supply and demand
                2.8.3    Optimization
                2.8.4    Velocity and acceleration problems
                2.8.5    Growth and decay rates




                                       Page 4 of 6
          BROWARD COMMUNITY COLLEGE
                COURSE OUTLINE


                         Common Course Number: MAC 2233

Unit 3   Integration

         General Outcome:


         3.0   The student shall be able to demonstrate knowledge of integrals and their
               applications.



         Specific Measurable Learning Outcomes:

         Upon successful completion of this unit, the student shall be able to:

         3.1     State and apply the rules of integration.

         3.2     Perform indefinite integration.

         3.3     Evaluate definite integrals.

         3.4     Apply integrals to problems including, but not restricted to:

                 3.4.1    Area

                 3.4.2    Deriving cost and revenue functions from marginal functions.

                 3.4.3* Consumer and producer surplus.

                 3.4.4    Derive quantity from growth/decay function.

                 3.4.5    Find position function from velocity function.

                 3.4.6    Find velocity function from acceleration function.

                 *        Optional




                                          Page 5 of 6
         BROWARD COMMUNITY COLLEGE
               COURSE OUTLINE


                         Common Course Number: MAC 2233

Unit 4   Exponential and Logarithmic Functions

         General Outcome:

         4.0    The student shall be able to demonstrate knowledge of exponential and
                logarithmic functions, their derivatives, integrals and applications.

         Specific Measurable Learning Outcomes:

         Upon successful completion of this unit, the student shall be able to:

         4.1*    Sketch the graph of f(x) = ex and related functions using technology as
                 appropriate.

         4.2*    Sketch the graph of f(x) = lnx and related functions using technology as
                 appropriate.

         4.3*    State and apply the properties of logarithms.

         4.4     Find derivatives of exponential and logarithmic functions.

         4.5     Find integrals of exponential functions.

         4.6     Find integrals resulting in logarithmic functions.

         4.7     Apply exponential and logarithmic functions to problems including, but not
                 limited to:

                 4.7.1    Present value and future value.

                 4.7.2    Growth and decay.

                 *        Review as needed




                                         Page 6 of 6

				
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