Pre-Calculus I
I. COURSE DESCRIPTION FROM CATALOG:
Review of algebra; relations and functions and their graphs, including
polynomial and
rational functions; conic sections; inequalities, arithmetic and geometric
sequences and
series. Lec. 3. Cr. 3.
II. PREREQUISITE(S):
Two years of high school algebra and one year of high school geometry.
III. COURSE OBJECTIVES(S):
Build on (not replicate) the competencies gained through the study of two
years of high
school algebra and one year of high school geometry. Use mathematics to solve
problems
and determine if the solutions are reasonable. Use mathematics to model real
world
behaviors and apply mathematical concepts to the solution of real-life problems.
Make
meaningful connections between mathematics and other disciplines. Use technology
for
mathematical reasoning and problem solving. Apply mathematical and/or basic
statistical
reasoning to analyze data and graphs. Refine the algebraic, geometric, and
reading
comprehension skills necessary in the study of calculus.
IV. TOPICS TO BE COVERED:
Chapter 1 Equations and Inequalities
1.3 Complex Numbers
Chapter 2 Graphs and Functions
2.1 Rectangular Coordinates and
Graphs
2.2 Circles
2.3 Functions
2.4 Linear Functions
2.5 Equations of Lines; Curve Fitting
2.6 Graphs of Basic Functions
2.7 Graphing Techniques
2.8 Function Operations and
Composition
Chapter 3 Polynomial and Rational
Functions
3.1 Quadratic Functions and Models
3.2 Synthetic Division
3.3 Zeros of Polynomials
3.4 Polynomial Functions: Graphs,
Applications and Models
3.5 Rational Functions: Graphs,
Applications, and Models
3.6 Variation - Omit
Chapter 4 Inverse, Exponential, and
Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions
4.3 Logarithmic Functions
4.4 Evaluating Logarithms and the
Change-of-Base Theorem
4.5 Exponential and Logarithmic
Equations
Chapter 9 Systems and Matrices
9.4 Partial Fractions
Chapter 11 Further Topics in Algebra
11.1 Sequences and Series
11.2 Arithmetic Sequences, and
Series
11.3 Geometric Sequences and
Series
11.4 The Binomial Theorem
11.5 Mathematical Induction
11.6 Counting Theory - Omit
11.7 Basics of Probability – Omit
V. ADDITIONAL INFORMATION:
VI. POSSIBLE TEXTS AND REFERENCES:
Precalculus, 4th edition Margaret L. Lial, John Hornsby and David I. Schnieder
VII. ANY TECHNOLOGY THAT MAY BE USED:
MyMathLab