Discipline: Mathematics Degree Credit  [X]
Non Credit  [ ]
Nondegree Credit  [ ]
Comm Service  [ ]
 

Riverside Community College District
Integrated Course Outline of Record

Mathematics 5


COURSE DESCRIPTION
5 Calculus, Short Course Units: 4.00
 
Prerequisite(s): MAT 35: Intermediate Algebra
Calculus for majors in economics, business management, biological and social sciences. Emphasis on problem solving and applications. Topics include: functions, graphs, limits, differentiation, integration, exponential and logarithmic functions. 72 hours lecture.
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
Calculus for economics, business, biology and social science majors. Applications of the derivative and integration.
 
ADVISORY ENTRY SKILLS
None.

STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:
  1. Employ the concept of functions, limits and continuity.
  2. Apply differentiation rules and integration techniques to algebraic functions.
  3. Use derivatives and integrals to solve real world problems.
  4. Determine derivatives and integrals of exponential and logarithmic functions.
 
COURSE CONTENT
  TOPICS
 

1. Functions, Graphs, and Limits
       a.Graphs, Limits and Continuity of Functions.
2. Differentiation
       a.Slope of a graph, Velocity, Product and Quotient Rules, Chain
       Rule, Implicit Differentiation, Related Rates
3. Applications of the Derivative
       a.Increasing and Decreasing functions, Extrema, concavity,
       Optimization, Business and Economics Applications. Curve
       sketching
4. Exponential and Logarithmic Functions
       a.Derivatives, Exponential Growth and Decay
5. Integration and its Applications
       a.Power rule, Fundamental Theorem of Calculus, Area of a Region,
       Volumes of Solids of Revolution
6. Techniques of Integration
       a.Substitution, integration by parts, Partial Fractions, Numerical
       Integration, Improper Integrals.
 
METHODS OF INSTRUCTION
 Methods of instruction used to achieve student learning outcomes may include, but are not limited to:

  • Class lectures/discussions/demonstrations
  • Drills and pattern practices
  • Videos/films/slides/audio tapes/computer assisted instruction
  • Pair and small group activities/discussion
  • Class exercises
  • Handouts
  • Cooperative learning tasks
  • Online/distance education
 
METHODS OF EVALUATION
 Students will be evaluated for progress in and/or mastery of learning outcomes by methods of evaluation which may include, but are not limited to:

  • Oral reports/presentations/performance
  • Written reports/presentations
  • Quizzes/examinations
  • Written assignments
  • Class and individual projects
  • Final examination
ASSIGNMENTS

Required Reading Assignments


Required Writing Assignments


Other Outside-of-Class Assignments
 
COURSE MATERIALS
 All materials used in this course will be periodically reviewed to ensure that they are appropriate for college level instruction. Possible texts include:

  • Larson and Edwards. Brief Calculus An Applied Worktext. Houghton Mifflin, 1999.
  • Barnett, Ziegler, Byleen. Applied Calculus for Business, Economics, Life Sciences and Social Sciences. 7th ed. Prentice Hall, 2000.
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