Jul 07, 2020  
2019-2020 Course Catalog 
2019-2020 Course Catalog [ARCHIVED CATALOG]

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MATH 0070 - Intermediate Algebra

Credits: 5
Hours/Week: Lecture None Lab None
Course Description: This course is equivalent to a second course in high school algebra. Topics include polynomials and rational expressions and equations; systems of linear equations; linear, absolute value, polynomial, and rational inequalities; rational exponents, radicals, and complex numbers; linear, quadratic, exponential, and logarithmic functions; and the binomial theorem. A graphing calculator is required. Instruction will be provided in the use of the TI-83/TI-84 calculator. Offered F, S, SS.
MnTC Goals

Prerequisite(s): MATH 0030  with a grade of C or higher, or assessment score placement in MATH 0070.
Corequisite(s): None
Recommendation: None

Major Content
  1. Rational Expressions and Equations
  2. Functional and Graphs
  3. Systems of Equations
  4. Inequalities
  5. Exponents and Radicals
  6. Quadratic Functions and equations
  7. Exponential and Logarithmic Functions
  8. Exponents, Radicals, and Complex Numbers
  9. Parabolas and Circles
  10. Binomial Theorem

Learning Outcomes
At the end of this course students will be able to:

  1. Demonstrate critical and logical reasoning when solving problems.
  2. Simplify polynomial, rational, radical, complex, exponential, and logarithmic expressions symbolically.
  3. Solve polynomial, rational, absolute value, radical, exponential, and logarithmic equations symbolically.
  4. Solve linear compound, polynomial, rational, and absolute value inequalities symbolically.
  5. Solve systems of linear equations symbolically and graphically.
  6. Solve systems of linear inequalities graphically.
  7. Evaluate functions.
  8. Identify the domain and range of functions symbolically and graphically.
  9. Determine the sum, difference, product, quotient, composition, and inverse of functions.
  10. Graph linear, quadratic, exponential, logarithmic functions by hand and with technology.
  11. Apply the Binomial Theorem.
  12. Graph parabolas and circles by hand.
  13. Model and solve applied problems using linear, rational, radical, quadratic, exponential, and logarithmic equations.
  14. Write the equation of a line, parabola, or circle given certain conditions
  15. communicate clearly a problems solution and its explanation for the intended audience in terms of the problem posed.

Competency 1 (1-6)
Competency 2 (7-10)

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