MA105 COLLEGE ALGEBRA FOR CALCULUS PREPARATION (4 Cr.)
COURSE DESCRIPTION
Satisfies the foundations of natural sciences/mathematics requirement.
Prerequisite:
MA 100 (B- or better) or satisfactory score on the
Math Placement Exam. A graphing calculator or equivalent software is required.
General Introduction and Goals
This course involves the continued development of students'
abilities to manipulate algebraic statements and solve problems. A study
of functions, graphing, equation solving techniques, exponents and logarithms,
and systems of equations. Topics, applications and pace are tailored for
those students intending to take calculus.
Course Content
- Review of Algebra
- The algebra of polynomials and rational expressions
- Solving linear and quadratic equations
- Radicals and rational exponents
- The coordinate plane and graphing
- Solving systems of linear equations
- Real and Complex Numbers
- Subsets of the real number system: naturals, integers, rationals, irrationals
- Complex numbers: their inception and arithmetic
- The Graphing Calculator
- Drawing graphs
- Approximating solutions to equations, determining extrema, etc.
- Functions
- The function concept and functional notation
- Expressing functional dependence algebraically
- Combinations of functions; inverse functions
- Graphs, and transformations of graphs, of functions
- Linear, quadratic, polynomial, and rational functions
- Functions involving radicals
- Solving Polynomial Equations and Inequalities
- Algebraic and graphical methods
- The theory of Equations
- Solving literal equations
- Exponents and Logarithms
- Properties of the exponential and logarithmic functions
- Solving exponential and logarithmic equations
- Applications of the exponential and logarithmic functions
- Systems of Equations
- Solving linear systems algebraically
- Solving non-linear systems algebraically and graphically
- Applications of systems of equations
- Other Topics
- Matrices and determinants
- Permutations and combinations
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