Course Outlines

College Algebra — MATS 1300

  1. Course Description
    • Credits: 4.00
    • Lecture Hours/Week: 4.00
    • Lab Hours/Week: 0.00
    • OJT Hours/Week: 0
    • Prerequisites:
      • MATS 0600: Intermediate Algebra
      • MATS 0700: Algebra Emporium
      • MATS 1340: Math for Engineering Technology
    • Corequisites: None
    • MnTC Goals:
      • 04 – Mathematical/Logical Reasoning
    Linear, quadratic, polynomial, rational, exponential, logarithmic, and other functions are carefully analyzed, with particular emphasis on graphical transformations (shifting, reflecting, stretching and compressing). Additional topics include matrices and Gaussian elimination; solving complex equations, including those in quadratic form and those that must be solved graphically; variation problems; particle motion; optimization problems; composition and inverse functions; arithmetic and geometric sequences; properties of logarithms and exponential/logarithmic equations; exponential growth and decay. MnTC Goals: Goal 04 - Mathematical/Logical Reasoning Prerequisites: MATS 0700 Algebra Emporium
  2. Course Effective Dates: 6/1/00 – Present
  3. Outline of Major Content Areas
      As noted on course syllabus
  4. Learning Outcomes
    1. Analyze arithmetic vs geometric / linear vs exponential growth and decay.
    2. Analyze graphs of polynomial and rational functions, including intercepts, symmetry, end behavior, multiplicity and arymptotes.
    3. Apply Gaussian elimination and other techniques to solve linear systems of equations, including applications.
    4. Apply knowledge of transformations to convert among equation and graph forms of various functions.
    5. Apply log-laws to solve exponential and logarithmic equations.
    6. Explain the concept of function, executing instructions written using function notation, e.g. f(x+h) - f(x)
    7. Solve high-order polynomial equations by factoring, including complex number solutions.
  5. Minnesota Transfer Curriculum Goal Area(s) and Competencies
      Goal 04 — Mathematical/Logical Reasoning
      1. Clearly express mathematical/logical ideas in writing.
      2. Explain what constitutes a valid mathematical/logical argument(proof).
      3. Apply higher-order problem-solving and/or modeling strategies.
  6. Learner Outcomes Assessment
      As noted on course syllabus
  7. Special Information
      None noted