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College Algebra & Trigonometry Syllabus and Course Structure Study Guide

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

Course Overview

Introduction

This course, based on Sullivan's Algebra & Trigonometry (12th Edition), provides a comprehensive foundation in college algebra and trigonometry. It covers essential precalculus topics, preparing students for further study in mathematics and related fields. The course is delivered through Pearson MyLab and includes both digital and optional print materials.

Required Materials

Textbook and Technology

  • Textbook: Algebra & Trigonometry by Sullivan, 12th Edition (Pearson)

  • Calculator: Handheld scientific calculator required; graphing calculators allowed. Cell phones and internet-enabled devices are prohibited during exams.

Prerequisites

Entry Requirements

  • Demonstrated competency via assessment or successful completion of MATH 043 - Intermediate Algebra with a grade of "C" or higher.

Major Course Learning Objectives

Key Skills and Knowledge

  • Functions: Determine and sketch functions using transformations.

  • Complex Numbers: Simplify and perform operations.

  • Radical Equations: Solve equations involving radicals.

  • Rational and Absolute Value Equations/Inequalities: Solve and analyze.

  • Quadratic Equations/Inequalities: Solve using multiple techniques; determine vertex and sketch quadratic functions.

  • Exponential and Logarithmic Functions: Apply properties of logarithms; solve related equations.

  • Polynomial Functions: Solve equations and sketch graphs.

  • Rational Functions: Find zeros and vertical asymptotes.

  • Composite and Inverse Functions: Determine and analyze.

  • Function Notation: Use notation, determine domain/range, analyze properties (increasing, decreasing, max/min), and simplify difference quotients.

  • Applications: Solve application problems in all above areas.

  • Technology: Use appropriate technology to enhance learning.

Course Content Topics

Topical Areas of Study

  • Radicals and rational expressions

  • Graphs of equations and functions

  • Complex numbers

  • Exponential and logarithmic functions

  • Absolute value equations and inequalities

  • Quadratic, polynomial, rational, and radical equations

Assignment Types & Grading

Overview of Assessments

  • Discussions: 6 required, including responses to prompts and peer replies.

  • Homework: 25 assignments in MyLab Math; unlimited attempts before deadline; late submissions penalized 2% per day.

  • Quizzes: 12 regular quizzes (2 attempts each, best score counts), 2 review quizzes (unlimited attempts, must be completed in one session), 2 timed review quizzes (predictor for exam performance).

  • Exams: 2 proctored exams (midterm and final), each with 20 questions and a 2-hour limit; written work must be submitted.

Point Distribution & Grading Scale

Assignment Type

Number

Weight

Discussion

6

5%

Homework

25

15%

Quiz

14

10%

Midterm Exam Review - Timed

1

5%

Final Exam Review - Timed

1

5%

Midterm Exam

1

27.5%

Final Exam

1

32.5%

Grade

Range

A

90% to 100%

B

80% to < 90%

C

70% to < 80%

D

60% to < 70%

F

0% to < 60%

Course Schedule (Sample Module Topics)

Module Breakdown

  • Module 1: Quadratic Equations, Absolute Values, Complex Numbers, Radical Equations

  • Module 2: Functions, Graphs, Properties, Library of Functions, Transformations

  • Module 3: Quadratic Functions, Quadratic Inequalities, Polynomial Functions, Polynomial Graphs

  • Module 4: Midterm Exam Review and Exam

  • Module 5: Rational Equations, Rational Functions, Polynomial and Rational Inequalities, Zeros of Polynomials

  • Module 6: Composite Functions, Difference Quotient, Inverse Functions, Exponential and Logarithmic Functions

  • Module 7: Properties of Logarithms, Solving Logarithmic and Exponential Equations

  • Module 8: Final Exam Review and Exam

Policies & Procedures

Attendance and Deadlines

  • Grades posted in IvyLearn; feedback within 7 days.

  • Due dates use Eastern Time; students must manage deadlines responsibly.

  • Late homework and quizzes penalized 2% per day.

  • Non-attendance drop deadline: March 23rd, 2026.

  • Last day to withdraw: April 27th, 2026.

Academic Integrity

  • All work must be uniquely yours; cite sources as required.

  • Prohibited: Using AI for answers, prohibited resources during exams, submitting answers without supporting work, using apps/websites for exam work.

Communication

Course Communication Tools

  • Use IvyLearn Inbox for course-related messages.

  • Weekly course announcements expected.

  • Professional, respectful online communication required.

Support and Accessibility

Disability Support

  • Disability Support Services available for accommodations.

  • Report digital accessibility issues via provided form.

Summary Table: Key Precalculus Topics Covered

Chapter/Topic

Covered in Course?

Equations and Inequalities

Yes

Graphs

Yes

Functions and Their Graphs

Yes

Linear and Quadratic Functions

Yes

Polynomial and Rational Functions

Yes

Exponential and Logarithmic Functions

Yes

Complex Numbers

Yes

Absolute Value Equations and Inequalities

Yes

Radical Equations

Yes

Composite and Inverse Functions

Yes

Additional Info

  • This syllabus covers all major precalculus topics relevant to college algebra and trigonometry, as outlined in standard precalculus curricula.

  • Students are expected to use MyLab Math for assignments and exams, and to submit written work for exams.

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