FLORIDA STATE COLLEGE AT JACKSONVILLE COLLEGE CREDIT COURSE OUTLINE. Calculus for Business and Social Sciences

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1 Form 2A, Page 1 FLORIDA STATE COLLEGE AT JACKSONVILLE COLLEGE CREDIT COURSE OUTLINE COURSE NUMBER MAC 2233 COURSE TITLE: PREREQUISITE(S): COREQUISITE(S): Calculus for Business and Social Sciences MAC 1105 or MAC 1140 with a grade of "C" or better or a satisfactory score on placement test None CREDIT HOURS: 3 CONTACT HOURS/WEEK: 3 CONTACT HOUR BREAKDOWN: Lecture/Discussion: 3 Laboratory: Other : FACULTY WORKLOAD POINTS: 3 STANDARDIZED CLASS SIZE ALLOCATION: 25 CATALOG COURSE DESCRIPTION: This course is designed for students who plan to major in business or the social sciences. It provides an introduction to differential and integral calculus with emphasis placed on applications from business, economics and the social sciences. This course cannot be used to satisfy degree requirements for students majoring in mathematics or engineering. SUGGESTED TEXT(S): Larson, Brief Calculus with Applications, Houghton-- Mifflin, current ed., ISBN Bittinger, Calculus & Its Appl., Addison-Wesley, Current ed., ISBN package,

2 Form 2A, Page 2 SUGGESTED TEXT(S) (CONTINUED) Barnett & Ziegler, Calculus for Business, Economics, Life Sciences, & Social Sciences, Prentice Hall, current ed., ISBN Tan, Calculus for Managerial ETC, Thompson Learning, Current ed., ISBN Taylor, Applied Calculus, Thomson Learning, current ed., ISBN Larson-Edwards, Brief Calculus: An Applied Approach, Houghton-Mifflin Co., current ed. ISBN Lial, Calculus with Applications (Brief Version), Addison-Wesley, current ed., ISBN Hoffman, Calculus for Business, Economics, and the social and life Sciences, McGraw Hill, 9 th Edition, ISBN Hughes-Hallett, Applied Calculus Wiley Current Edition, ISBN: IMPLEMENTATION DATE: Winter Term, 1984 (852) REVIEW OR MODIFICATION DATE: Fall Term, 1999 Fall Term, 2002 (20031) Spring Term, 2005 (20052) Fall Term 2008 (20091) - Outline Review 2007 Fall Term, 2012 (20131) GER Review 2012

3 Form 2A, Page 3 COURSE TOPICS CONTACT HOURS PER TOPIC I. Algebra Review 7 A. Equations, Tables, and Graphs of Algebraic Functions 1. Linear 2. Quadratic 3. Cubic 4. Polynomial 5. Exponential 6. Logarithmic 7. Rational 8. Logistic B. Mathematical Modeling with Algebraic Functions (Regression with Technology) C. Applications II. Limits and the Derivative 10 A. Limits and Continuity B. Change C. Average Rates of Change D. Instantaneous Rates of Change E. Definition of the Derivative F. Differentiation: Algebraic Functions (Derivative Formulas) 1. Constant 2. Linear 3. Power 4. Constant Multiple 5. Derivative of Sum and Difference 6. Polynomial 7. Exponential 8. Product 9. Quotient 10. Natural Logarithm 11. Chain 12. Definition of the Second Derivative and Differentiation with Algebraic Functions III. Applications of the Derivative 7 A. Interpretations, Symbols, and Units of the First Derivative B. Linear Approximation and the Derivative C. Relative (Local) Maxima and Minima (critical points) D. Absolute (Global) Maxima and Minima (critical points) E. Curve Sketching F. Implicit Differentiation (Optional) G. Interpretations, Symbols, and Units of the Second Derivative (inflection points) H. Higher-Order Derivatives I. Applications of Extrema

4 IV. Introduction to Integration 7 A. Antiderivatives and Indefinite Integrals B. Interpretations, Symbols, and Units of the Antidervatives, Indefinite, Definite Integrals C. Area and the Definite Integral D. The Fundamental Theorem of Calculus E. Substitution (Optional) F. Area Between Two Curves V. Exponential and Logarithmic Functions 7 A. Exponential Functions B. Logarithmic Functions C. Derivatives of Exponential Functions D. Derivatives of Logarithmic Function VI. Applications 7 A. Business B. Economics C. Social Sciences D. Education VII. Topics from Linear Algebra (Optional) A. Matrices and Determinants B. Applications: Linear Programming *TOPICS NEED NOT BE COVERED IN THE INDICATED SEQUENCE.

5 Florida State College At Jacksonville Learning Outcomes & Assessment NOTE: Use either the Tab key or mouse click to move from field to field. The box will expand to accommodate your entry. Section 1 COURSE PREFIX AND NUMBER: MAC2233 COURSE TITLE: Calculus for Business and Social Sciences SEMESTER CREDIT HOURS (CC): 3 CONTACT HOURS (NCC): Section 2 TYPE OF COURSE: (Click on the box to check all that apply) AA Elective AS Required Professional College Prep AS Professional Elective AAS Required Professional Technical Certificate Other PSAV Apprenticeship General Education: (For General Education courses, you must also complete Section 3 and Section 7) Section 3 (If applicable) INDICATE BELOW THE DISCIPLINE AREA FOR GENERAL EDUCATION COURSES: Communications Social & Behavioral Sciences Mathematics Natural Sciences Humanities Section 4 INTELLECTUAL COMPETENCIES: Reading Speaking Critical Analysis Writing Listening Information Literacy Quantitative Skills Ethical Judgment Scientific Method of Inquiry Working Collaboratively Section 5 STATE GENERAL EDUCATION LEARNING OUTCOME AREA Communication Critical Thinking Scientific and Quantitative Reasoning Information Global Sociocultural Responsibility Literacy Section 6 Students will identify the nature 2 of mathematical problems Students will formulate /translate problems 3 into mathematical language Students will use various mathematical 4 methods to correctly solve problems Gen. Ed /Discipline Gen. Ed /Discipline Gen. Ed /Discipline

6 Section 6 (Continued) Students will use critical thinking in interpreting data and/or drawing conclusions from the 5 results of a mathematical problems Gen. Ed /Discipline Students will use technology as appropriate in analyzing data or solving mathematical problems Students will be able to represent and explain mathematical information graphically verbally, numerically and symbolically Gen. Ed /Discipline Discipline Use algebraic techniques, including analytical, numerical, graphical, verbal, and technology aided procedures to analyze or solve algebraic functions Apply mathematical modeling to algebraic functions Demonstrate comprehension of limits and continuity. Demonstrate comprehension of change.

7 Section 6 (Continued) Demonstrate comprehension of average rate of change Demonstrate comprehension of instantaneous rate of change Demonstrate comprehension of the derivative Apply derivative formulas Understand symbols, units, an interpretation of the first derivative Use the derivative in linear approximation Find relative (local) extrema

8 Section 6 (Continued) Find absolute (global) extrema Demonstrate understanding of curve sketching Optional: Demonstrate the use of implicit differentiation Understand symbols, units, an interpretation of the second derivative Find Higher-Order Derivatives Solve real world problems using S the concept of Extrema

9 Section 6 (Continued) Find Antiderivatives and Indefinite Integrals Understand Interpretations, Symbols, and Units of the Antidervatives, Indefinite, Definite Integrals Find the Definite Integral and relate it to the concept of Area Understand The Fundamental Theorem of Calculus Optional : Demonstrate the technique of substitution Calculate the Area Between Two Curves

10 Section 6 (Continued) Solve real world problems in areas of Business, Economics, Social Sciences, and/or Education Optional: Topics from Linear Algebra: Find Matrices and Determinants Optional: Topics from Linear Algebra Applications: Linear Programming Section 7 Name of Person Completing This Form: Paula Risko Date: 03/20/2011

11 Primary Secondary N/A Primary Secondary N/A SECTION 8 MUST BE COMPLETED FOR ALL GENERAL EDUCATION COURSES ONLY (exclude AA electives) Section 8 KNOWLEDGE A. Global and Historical Knowledge & Understanding Comprehends a general knowledge of the nature, origins and contributions of major civilizations Comprehends the workings and interrelations of personal, business and government economies Comprehends political, social and economic systems and their effects upon society B. Cultural and Aesthetic Knowledge and Understanding Comprehends the contributions of the arts and humanities to the human experience on a personal, national or global level Comprehends the historical development of the arts and sciences VALUE Intellectual honesty Curiosity and openness to new ideas Recognition of one s own creative potential Acceptance of and respect for differences among people and cultures Civic Engagement Lifelong Learning Comprehends religious and cultural systems and their effects upon society C. Human Awareness and Understanding Comprehends the dynamics of human behavior and the process of increasing self-awareness, growth and development Comprehends the stages of human development and the dynamics of human relationships in diverse cultures Comprehends the factors that promote physical, mental and social well-being D. Mathematics, Science and Technology Comprehends the basic concepts and investigative processes of the natural sciences Comprehends the breadth, significance and development of the mathematical sciences Comprehends the ways science and technology have shaped and continue to reshape human cultures and the environment Section 9 Name of Person Completing This Form: Paula Risko Date: 03/20/2011