BackCollege 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.