Precalculus Syllabus and Course Structure Overview

Course Overview: Precalculus (MAC1147)

Introduction

This document provides a comprehensive overview of the Precalculus course (MAC1147) at the University of North Florida. The course is designed to prepare students for calculus by covering foundational topics in algebra, functions, trigonometry, and introductory analytic geometry. The syllabus outlines course objectives, materials, grading policies, and a detailed schedule of topics and assessments.

Course Content and Learning Outcomes

Key Topics Covered

• Polynomial and Rational Functions

• Linear and Quadratic Functions

• Exponential and Logarithmic Functions

• Trigonometric Functions and Identities

• Systems of Equations and Matrices

• Conic Sections and Analytic Geometry

Learning Outcomes

• Solve polynomial and rational inequalities.

• Analyze, model, and compare graphs of polynomial, rational, exponential, and logarithmic functions.

• Apply conic sections and their graphs in mathematical contexts.

• Evaluate sums of arithmetic and geometric sequences.

• Solve equations and prove results using the Binomial Theorem.

• Apply trigonometric identities and solve trigonometric equations.

• Use trigonometric functions to model and solve real-world problems.

Course Materials

Textbook

• Title: Precalculus

• Author: Sullivan

• Edition: 12th

• Publisher: Pearson

Additional handouts and resources will be provided via the course's online platform.

Assessment and Grading

Grading Breakdown

Component	Percentage
Tests	45%
Quizzes	12%
Online Homework	20%
Attendance and Participation	3%
Final Exam	20%

Grading Scale

Grade	Percentage
A	90% and above
B+	87% - 89%
B	80% - 86%
C+	77% - 79%
C	70% - 76%
D	60% - 69%
F	Below 60%

Course Outline

• Chapter R: Appendix, Prerequisites (Review material)

• Chapter 1: Graphing

• Chapter 2: Functions & Their Graphs

• Chapter 3: Linear & Quadratic Functions

• Chapter 4: Polynomial & Rational Functions

• Chapter 5: Exponential & Logarithmic Functions

• Chapter 6: Trigonometric Functions

• Chapter 7: Analytic Trigonometry

• Section 11.1: Systems of Linear Equations

Sample Formulas and Concepts

• Quadratic Formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

• Exponential Function: $f(x) = a \cdot b^x$

• Logarithmic Function: $y = \log_b(x) \iff b^y = x$

• Trigonometric Identity (Pythagorean): $\sin^2\theta + \cos^2\theta = 1$

• Sum of Arithmetic Series: $S_n = \frac{n}{2}(a_1 + a_n)$

• Sum of Geometric Series: $S_n = a_1 \frac{1 - r^n}{1 - r}$, $r \neq 1$

Course Policies and Resources

• Attendance: Regular attendance is required and will be checked daily.

• Homework: Assignments are completed online and are essential for success.

• Exams: Four unit tests and a comprehensive final exam.

• Tutoring: Free tutoring is available through the university's SMART Center.

• Academic Integrity: Strict policies against plagiarism and unauthorized collaboration.

• Accessibility: Accommodations are available for students with documented needs.

Course Schedule

The course schedule includes a detailed calendar of topics, test dates, and assignment deadlines. Students are expected to follow the schedule closely and prepare for each class accordingly.

Conclusion

This syllabus provides the foundational structure for success in Precalculus. Mastery of the outlined topics will prepare students for further study in calculus and related fields.