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

Riverside Community College District
Integrated Course Outline of Record

Mathematics 7


COURSE DESCRIPTION
7 Mathematica Units: 2.00
 
Prerequisite(s): MAT 1A: Calculus I
Introduction to the computer software package Mathematica for math, science and engineering majors. Mathematica will be used in solving selected problems in algebra, trigonometry, calculus, vector and matrix analysis, data manipulation and presentation, complex analysis, etc., with emphasis on Mathematica’s superior 2- and 3-dimensional graphical capability. 18 hours lecture and 54 hours computer laboratory.
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
Introduction to the computer software package Mathematica for math, science and engineering majors.
 
ADVISORY ENTRY SKILLS
None.

STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:

Use the syntax of Mathematica.

  1. Critical Thinking - Generalize appropriately from specific contexts
  2. Critical Thinking - Integrate knowledge across a range of contexts
  3. Information Skills - Demonstrate computer literacy
  4. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  5. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Understand the Mathematica front end.

  1. Information Skills - Demonstrate computer literacy
  2. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Understand the Mathematica packages.

  1. Information Skills - Demonstrate computer literacy
  2. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Use Mathematica as an infinite precision calculator.

  1. Critical Thinking - Integrate knowledge across a range of contexts
  2. Information Skills - Demonstrate computer literacy
  3. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Learn how to create and manipulate graphical output.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Generalize appropriately from specific contexts
  3. Information Skills - Demonstrate computer literacy
  4. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Integrate and differentiate with Mathematica.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Information Skills - Demonstrate computer literacy
  3. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  4. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Design their own Mathematica package.
   

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Information Skills - Demonstrate computer literacy
  3. Application of Knowledge - Maintain and transfer academic and technical skills to workplace
 
COURSE CONTENT
  TOPICS
 
  1. The Mathematica front end
  2. Mathematica cells and packages
  3. Numerical calculations with Mathematica
  4. Algebraic calculations and manipulations using Mathematica
  5. Trigonometric Calculations and Manipulations using Mathematica
  6. 2-dimensional plotting using Mathematica
  7. 3-demensional plotting using Mathematica
  8. Parametric and polar plotting using Mathematica
  9. Integration and differentiation using Mathematica
  10. Complex analysis using Mathematica
  11. Vectors analysis using Mathematica
  12. Multivariate analysis using Mathematica
  13. Numerical analysis with Mathematica
 
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
  • Laboratory projects/performance
  • 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:

  • Wolfram, Steven. Matematica. Addison Wesley, 1999.
  • Software: Mathematica Version 4.0, 1999
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