Precalculus (MATH 2412) Syllabus and Course Structure – Dallas College

Course Overview

Introduction to Precalculus

This course, MATH 2412 (Precalculus), is designed to prepare students for calculus by covering foundational topics in algebra and trigonometry. The curriculum emphasizes the study of functions, their properties, and their applications, as well as analytic geometry and introductory concepts in sequences, probability, and limits.

• Course Duration: 08/24/2026 – 12/10/2026

• Delivery Mode: Online

• Instructor: Alysmarie Hodges

• Contact: [e-mail]

Course Description and Learning Outcomes

Topics Covered

• Algebraic and Trigonometric Functions: Polynomial, rational, exponential, logarithmic, and trigonometric functions and their graphs.

• Analytic Geometry: Conic sections, polar coordinates, and related topics.

• Problem Solving: Application of graphing techniques, solving equations, and proving identities.

• Trigonometry: Computation of trigonometric values, solving triangles, and using the unit circle.

State-Defined Learning Outcomes:

• Demonstrate and apply knowledge of properties of functions.

• Recognize and apply algebraic and transcendental functions and solve related equations.

• Apply graphing techniques to algebraic and transcendental functions.

• Compute values of trigonometric functions for key angles in all quadrants (degrees and radians).

• Prove trigonometric identities and solve right and oblique triangles.

Texas Core Objectives

• Critical Thinking Skills: Creative thinking, innovation, inquiry, analysis, evaluation, and synthesis of information.

• Communication Skills: Effective development, interpretation, and expression of ideas through written, oral, and visual communication.

• Empirical and Quantitative Skills: Manipulation and analysis of numerical data or observable facts resulting in informed conclusions.

• Teamwork: Ability to consider different points of view and work effectively with others.

• Personal Responsibility: Connecting choices, actions, and consequences to ethical decision-making.

• Social Responsibility: Intercultural competence, civic responsibility, and engagement in communities.

Required and Optional Materials

• Required Calculators: TI-30X IIS, TI-36X, TI-84 Plus (CAS calculators not allowed)

• Webcam: Internal or external webcam required for proctored exams

• Optional Materials: Binder, spiral notebook, graph paper, ruler, pencils

Course Schedule and Major Topics

Week	Main Topics
1-2	Functions and Their Graphs
3-4	Polynomial and Rational Functions
5-6	Exponential and Logarithmic Functions
7-9	Trigonometric Functions and Analytic Trigonometry
10-11	Applications of Trigonometric Functions; Polar Coordinates; Vectors
12	Polar Coordinates; Vectors (continued)
13	Analytic Geometry; Systems of Equations and Inequalities
14	Sequences; Induction; Binomial Theorem
15	Review Week
16	Final Exam

Grading Policy

Assignment	Weight	Notes
MyLab Homework	25%	Unlimited attempts; 5% late penalty per day
MyLab Chapter Quizzes	19%	Unlimited attempts; highest grade counts; 5% late penalty per day
Regular Exams	36%	One attempt; proctored; written work required
Final Exam	20%	One attempt; proctored; written work required

Grade Scale:

Grade	Range
A	90-100%
B	80-89%
C	70-79%
D	60-69%
F	Below 60%

Exam and Assignment Policies

• All exams are proctored and require ID verification and webcam monitoring.

• Written work must be submitted for all exams to receive credit.

• No make-up exams or late exams are allowed.

• Lowest test grade may be replaced by the Final Exam grade if higher.

Support and Resources

• Free tutoring available for all students (in-person and online).

• Access to counseling, child care, housing, emergency aid, and food pantries.

• Technical support for eCampus and college technology.

Institutional Policies

• Review policies on accommodations, class drops, Title IX, and more via the Institutional Policies page.