MAC 1105 — College Algebra — Syllabus
Prerequisites: C (2.0) or better in MAT 1033, or SAT Math score of 490
or better, or ACT Math score of 21 or better, or Elementary Algebra CPT score of
90 or better, or College-Level Math CPT score of 40 or better.
Course Description: This course meets twice a week for 75-minute lecture
sessions and twice a week for 50-minute help sessions. Successful completion of
the course merits 3 semester hours of credit and provides sufficient background
for either Precalculus or Calculus that does not use trigonometry. There are
typically four midterm exams plus a final. The final exam is cumulative and all
multiple choice.
Text: College Algebra by Ratti and McWaters
Course Content
Chapter P: Basic Concepts of Algebra (omit)
P.1 The Real Numbers and Their Properties
P.2 Integer Exponents and Scientific Notation
P.3 Polynomials
P.4 Factoring Polynomials
P.5 Rational Expressions
P.6 Rational Exponents and Radicals
P.7 Topics in Geometry
Chapter 1: Equations and Inequalities (omit)
1.1 Linear Equations in One Variable
1.2 Applications of Linear Equations
1.3 Complex Numbers
1.4 Quadratic Equations
1.5 Solving Other Types of Equations
1.6 Linear Inequalities
1.7 Polynomial and Rational Inequalities
1.8 Equations and Inequalities Involving Absolute Value
Chapter 2: Graphs and Functions (4 weeks)
2.1 The Coordinate Plane
2.2 Graphs of Equations
2.3 Lines
2.4 Relations and Functions
2.5 A Library of Functions
2.6 Transformations of Functions
2.7 Combining Functions; Composite Functions
2.8 Inverse Functions
Chapter 3: Polynomial and Rational Functions (4 weeks)
3.1 Quadratic Functions
3.2 Polynomial Functions
3.3 Dividing Polynomials and Rational Zeros Test
3.4 Zeros of a Polynomial Function
3.5 Rational Functions
3.6 Variation
Chapter 4: Exponential and Logarithmic Functions (4 weeks)
4.1 Exponential Functions
4.2 The Natural Exponential Function
4.3 Logarithmic Functions
4.4 Rules of Logarithms
4.5 Exponential and Logarithmic Equations
Chapter 5: Systems of Equations and Inequalities (2 weeks)
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in Three Variables
5.3 Partial-Fraction Decomposition
5.4 Systems of Linear Inequalities; Linear Programming (omit)
5.5 Nonlinear Systems of Equations and Inequalities
Chapter 6: Matrices and Determinants (omit)
6.1 Matrices and Systems of Equations
6.2 Matrix Algebra
6.3 The Matrix Inverse
6.4 Determinants and Cramer's Rule
Chapter 7: The Conic Sections (omit)
7.1 Conic Sections: Overview
7.2 The Parabola
7.3 The Ellipse
7.4 The Hyperbola
Chapter 8: Further Topics in Algebra (omit)
8.1 Sequences and Series
8.2 Arithmetic Sequences; Partial Sums
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles
8.7 Probability
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