Precalculus Algebra

ELIGIBILITY: You must have the course prerequisites listed below and must never have completed with a grade of C- or better a course for which MAC 1140 is a (stated or implied) prerequisite. It is the student's responsibility to check and prove eligibility.

PREREQUISITES: You must have passed MAC 1105 with a grade of C- or better.

TEXT: Precalculus: Enhanced with Graphing Utilities (5th Edition) by Michael Sullivan.

COURSE CONTENT: Chapters 1-5, 9, 10, 12 of the text.

Chapter 1:
1.1. The distance and midpoint formulas.
1.2. Graph of equations in two variables. Intercepts. Symmetry.
1.3. Lines.
1.4. Circles.
Chapter 2:
2.1. Functions.
2.2 The Graph of a Function.
2.3 Properties of Functions.
2.4 Library of Functions. Piecewise-defined Functions.
2.5 Graphing Techniques: Transformations.
2.6 Mathematical Models: Building Functions.
Chapter 3:
3.1 Linear Functions and Their Properties.
3.2 Linear Models: Building Linear Functions from Data.
3.3 Quadratic Functions and Their Properties.
3.4 Build Quadratic Models from verbal descriptions and from data.
3.5 Inequalities Involving Quadratic Functions.
Chapter 4:
4.1. Polynomial Functions and Models.
4.2 Properties of Rational Functions.
4.3 The Graph of a Rational Function.
4.4 Polynomial and Rational Inequalities.
4.5 The Real Zeros of a Polynomial Function.
4.6 Complex Zeros. Fundamental Theorem of Algebra.
Chapter 5:
5.1 Composite Functions.
5.2 One-to-One Functions. Inverse Functions.
5.3 Exponential Functions.
5.4 Logarithmic Functions.
5.5 Properties of Logarithms.
5.6 Logarithmic and Exponential Equations.
5.7 Financial Models.
5.8 Exponential Growth and Decay Models: Newton?s Law.
5.9 Building Exponential, Logarithmic, and Logistic Models from Data.
Chapter 9:
9.1 Polar Coordinates.
9.2 Polar Equations and Graphs.
9.3 The Complex Plane. De Moiré?s Theorem.
9.4 Vectors.
9.5 The Dot Product.
9.6 Vectors in Space.
9.7 The Cross Product.
Chapter 10:
10.1 Conics.
10.2 The Parabola.
10.3 The Ellipse.
10.4 The Hyperbola.
10.5 Rotation of Axes. General Form of a Conic.
10.6 Polar Equations of Conics.
10.7 Plane Curves and Parametric Equations.
Chapter 11:
11.1 Systems of Linear Equations: Substitution and Elimination.
11.2 Systems of Linear Equations: Matrices.
11.3 Systems of Linear Equations: Determinants.
11.4 Matrix Algebra.
11.5 Partial Fraction Decomposition.
11.6 Systems of Nonlinear Equations.
11.7 Systems of Inequalities.
11.8 Linear Programming.
Chapter 12:
12.1 Sequences.
12.2 Arithmetic Sequences.
12.3 Geometric Sequences. Geometric Series.
12.4 Mathematical Induction.
12.5 The Binomial Theorem.

?. COURSE OBJECTIVES: This course is designed to introduce students to basic and advanced topics in calculus and algebra and some applications. The material in this course should be mastered before the student proceeds to courses for which it is a prerequisite. The purpose of this course is:
- to teach students advanced techniques and concepts in calculus and algebra,
- to demonstrate its usefulness in selected applications.
? In addition to these course content objectives, my objectives are:
- to have students become aware of where mathematics is used around them and how mathematics can be useful,
- to encourage students to have practice writing mathematically. It is not only important to be able to do mathematics, but you also need to be able to convey your results to others.

CALCULATORS A programmable graphing calculator is optional. However, you are likely to be at a disadvantage if you do not have one. Use of graphing or scientific calculators and computers for homework is encouraged. In fact, it is almost indispensable.

ASSESSMENT: Except in the case of excused absences or extreme extenuating circumstances the following will be the policy of this class: 1) late assignments will not be accepted, 2) there will be no "make-ups" of quizzes or exams, 3) no quizzes or exams will be given early. The passing grade for this course is C- (70). No curves are applied to grades in this class.

The total score for the course will be determined by the following rule:
25% Class work and participation
20% Homework
10% Group project
20% Midterm exam
25% Final Exam

Grades will be assigned on this scale:
A = above 91.49 A- = 89.50 - 91.49 B+ = 87.50 - 89.49 B = 81.50 - 87.49
B- = 79.50 - 81.49 C+ = 76.50 - 79.49 C = 69.50 - 76.49 C- = 65.50 - 69.49
D = 59.50 - 65.49 D- = 55.50 - 59.49 F = below 55.50