Precalculus Syllabus and Course Structure: Math 121 (Fall 2026)

Course Overview

This document outlines the structure, policies, and weekly topics for Math 121: Precalculus at UIC for Fall 2026. The course is designed to prepare students for calculus by covering foundational topics in functions, algebra, trigonometry, and analytic geometry.

Course Description

• Topics Covered: Properties and graphs of functions (polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions), solving equations, trigonometric identities, applications of trigonometric functions, and polar coordinates.

• Primary Goal: Equip students with concepts and skills necessary for success in calculus.

• Prerequisites: Grade of C or better in MATH 110 or appropriate placement test score.

Course Structure and Grading

Assessment Components

• Online Homework (MyLab): 18.44% of final grade. Unlimited attempts, due Mondays and Fridays.

• Group Quizzes (Tuesdays): 4.74% (best 9 of 11 scores counted).

• Individual Quizzes (Thursdays): 10.91% (best 9 of 11 scores counted).

• Attendance: 7.43% (points awarded for presence in lectures and discussions).

• Midterm Exams (3): Each worth 12.64% (individual and group portions).

• Final Exam: 20.55% (cumulative, in-person, 2 hours, includes trig identity sheet).

Grading Scale

Points	Percentage	Grade
1651+	87%+	A
1424+	75%+	B
1139+	60%+	C
854+	45%+	D
<854	<45%	F

Note: The lowest midterm exam score (as a percentage) may be replaced by the final exam percentage if the final is higher.

Attendance and Participation

• Mandatory for all lectures and discussions.

• Attendance tracked via Acadly app; students are responsible for ensuring their attendance is recorded.

• No excused/unexcused absences; only absences. Points only awarded for presence.

Makeup and Drop Policies

• Lowest two group and two individual quiz scores are dropped to accommodate emergencies.

• Makeups for exams require prior approval; no makeups for group exam portions.

• Missed exams may have the final exam percentage substituted.

Course Materials

• Textbook: Precalculus, 12th Edition by Michael Sullivan (Pearson/MyLab access required).

• Guided Lecture Sheets: Provided in the Course Workbook and online; students are expected to complete all questions.

• Discussion Sheets: Used in group and individual quizzes during discussion sessions.

Weekly Calendar of Topics

The following is a summary of the weekly topics, mapped to standard precalculus chapters:

Week/Date	Topic	Section(s)
Start	Course Policies, Syllabus Quiz	-
Week 1	Functions, Domain and Range	2.1
Week 1-2	Graphical Properties of Functions	2.2, 2.3
Week 2	Algebra of Functions (Addition, Subtraction, Multiplication, Division, Composition)	2.1, 5.1
Week 2	Average Rate of Change	2.3
Week 3	Polynomial Functions	4.1, 4.2
Week 3	Right Triangle Trigonometry	8.1
Week 3	Angle Measure, Trig Functions of Angles	6.1, 8.1
Week 4	Exponential Functions	5.3
Week 4	The Unit Circle, Trig Functions	6.2
Week 5	Transformations of Functions	2.5
Week 5	Inverses of Functions	5.2
Week 5-6	Logarithmic Functions and Laws	5.4, 5.5
Week 6	Rational Functions and Their Graphs	3.6
Week 7	Graphs of Sine and Cosine	6.4
Week 7	Verifying Trig Identities	7.4
Week 8	Inverse Trig Functions and Their Graphs	7.1
Week 8-9	Trig Identities: Addition, Subtraction, Double Angle	7.5, 7.6
Week 9	Solving Exponential, Logarithmic, and Trig Equations	5.6, 7.3
Week 10	Law of Sines and Cosines	8.2, 8.3
Week 10	Polar Coordinates and Graphs of Polar Equations	9.1, 9.2

Note: The schedule is tentative and may be adjusted as needed.

Key Precalculus Topics (as per Syllabus)

• Functions and Their Graphs: Understanding domain, range, and types of functions.

• Polynomial and Rational Functions: Analyzing behavior, zeros, and asymptotes.

• Exponential and Logarithmic Functions: Properties, laws, and solving equations.

• Trigonometric Functions: Definitions, unit circle, graphs, and identities.

• Analytic Trigonometry: Proving identities, solving equations, and using laws of sines and cosines.

• Polar Coordinates: Converting between polar and rectangular forms, graphing polar equations.

Course Policies and Student Support

• Academic Integrity: No use of notes, calculators, or electronic devices on exams/quizzes. Violations result in severe penalties.

• Accommodations: Students with disabilities should contact the Disability Resource Center for support and accommodations.

• Student Wellness: Multiple resources are available for academic, financial, and personal support.

• Classroom Conduct: Respectful, inclusive, and civil discourse is expected at all times.

Tips for Success

• Participate actively in lectures and discussions.

• Complete all homework and guided lecture sheets independently.

• Form study groups and collaborate on discussion worksheets.

• Seek help early from instructors, TAs, or campus resources if struggling.

• Stay current with assignments and avoid procrastination.

Contact Information

• Coordinator: Dr. Billy Jackson (SEO 315, [e-mail])

• Instructors: Olga Kashcheyeva, Victor Protsak (see syllabus for office locations and emails)

• TAs and LAs: Multiple teaching assistants and learning assistants are available for support.

For the most accurate and up-to-date information, always consult the course's Canvas site and weekly content folder.