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# 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
3.2 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