MATH& 141: Precalculus I

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Class Program
Mathematics
Distribution
Math/Science Non-Laboratory,
Symbolic or Quantitative Reasoning
Credits 5 Lecture Hours 55

This course will present the following concepts: college level algebra, introduction to functions and graphing, the graphs and properties of polynomial, rational, radical, exponential and logarithmic functions.

Prerequisites

MATH 099 with a passing grade equivalent to a 2.0 or a higher placement or instructor permission.

Quarters Offered
Fall,
Winter,
Spring
Course Outcomes

Upon successful completion of the course, students should be able to demonstrate the following knowledge or skills:

  1. Simplify expressions of several variables.
  2. Apply appropriate methods to solve complex equations.
  3. Apply transformations to graphs and relations.
Institutional Outcomes

IO2 Quantitative Reasoning: Students will be able to reason mathematically.

Course Content Outline
  1. College Algebra
    1. Manipulate expressions (exponents, radicals, factoring, rationals, complex numbers, complete the square)
    2. Solve equations (radicals, quadratics, linear formulas, absolute value)
  2. Functions and Graphs
    1. Function notation and domain
    2. Algebra of functions
    3. Inverse functions
    4. Graphs with transformations of functions
  3. Common Functions and Properties
    1. Square root (graphs and translations)
    2. Polynomial (graph, synthetic division, real zeros, complex zeros, fundamental theorem of algebra)
    3. Rational (graphs and asymptotes, partial fractions)
  4. Exponents and Logarithms
    1. Simplify and solve exponential equations (including natural base)
    2. Use the properties of logarithms to simplify expressions and solve equations
    3. Applications of logarithms and exponents