Course Overview

Course Title and Description

Precalculus Algebra/Trigonometry (MAC 1147) is a comprehensive course designed to prepare students for calculus by developing a strong foundation in algebraic and trigonometric concepts. The course integrates topics from both college algebra and trigonometry, covering essential mathematical principles and their applications.

• Credit Hours: 5

• Prerequisites: MAC1105 or MAC2233

• Course Duration: August 17 – December 10

• Location: Room 7-112

• Instructor: Melissa Quigley

Course Topics and Objectives

Main Topics Covered

The course content aligns with standard Precalculus topics, including:

• Quadratic Functions and Equations; Inequalities

• Polynomial and Rational Functions

• Exponential and Logarithmic Functions

• Trigonometric Functions and Identities

• Applications of Trigonometry

• Systems of Equations and Matrices

• Analytic Geometry (Conic Sections)

• Sequences, Series, and the Binomial Theorem

Course Objectives:

• Perform algebraic operations on polynomial and rational expressions

• Solve linear, quadratic, and higher-order equations and inequalities

• Graph and analyze polynomial, rational, exponential, and logarithmic functions

• Apply synthetic division and find zeros of polynomials

• Solve and graph trigonometric functions and equations

• Use trigonometric identities and solve triangles

• Solve systems of equations using matrices and determinants

• Expand expressions using the binomial theorem

• Graph conic sections (parabolas, circles, ellipses, hyperbolas)

Course Structure and Assessment

Grading Components

• Homework Assignments: 9%

• Attendance: 5%

• Pop Quizzes: 8%

• Online Quizzes: 8%

• Rocket Project: 5%

• Exams (6 total): 70%

• Extra Credit: Available through test reviews and exam questions

Grading Scale:

Course Schedule Outline

Weekly Topics (Sample)

• Weeks 1-2: Inverse, Exponential, and Logarithmic Functions

• Weeks 3-4: Polynomial Functions, Division, Zeros, Rational Functions, Inequalities

• Weeks 5-7: Trigonometric Functions, Radians, Graphs, Identities

• Weeks 8-9: Inverse Trig, Solving Trig Equations, Law of Sines/Cosines, Complex Numbers, Polar Coordinates

• Weeks 10-12: Vectors, Systems of Equations, Matrices, Determinants, Partial Fractions, Parabola

• Weeks 13-16: Circles, Ellipses, Hyperbolas, Nonlinear Systems, Sequences, Series, Binomial Theorem

• Final Exam: Comprehensive (Chapters 4-11)

Additional Course Information

• Required Materials: MyLab Math with Pearson eText (18-week access), TI-30XS Multiview Scientific Calculator (or similar)

• Calculator Policy: Only basic scientific calculators allowed; graphing calculators and programmable calculators are prohibited.

• Tutoring: Free tutoring available on campus and online (Tutor.com, 5 free hours per course)

• Make-Up Policy: Late homework/quizzes accepted with penalty; limited exam make-ups with restrictions

Institutional Learning Outcomes

• Perform accurate computations using order of operations

• Identify and organize relevant information for applied problems

• Interpret and communicate understanding of visual data representations

• Demonstrate mathematical number sense and unit sense

Academic Integrity and Policies

• Adherence to the college’s academic integrity policy is required

• Use of AI tools is subject to instructor’s guidelines

• Nondiscrimination and equal opportunity policies apply

Additional info: This syllabus provides a comprehensive overview of the Precalculus Algebra/Trigonometry course, including all major topics, assessment methods, and institutional policies. For detailed content on each mathematical topic, refer to the course textbook and weekly assignments.