Pre-Calculus Math (MATH-2412) Syllabus and Course Structure

Course Overview

This Pre-Calculus Math course (MATH-2412) at Dallas College covers foundational topics in algebra and trigonometry, preparing students for calculus. The curriculum includes polynomial, rational, exponential, logarithmic, and trigonometric functions and their graphs, as well as conic sections, polar coordinates, and introductory analytic geometry.

State-Defined Learning Outcomes

• Properties of Functions: Demonstrate and apply knowledge of properties of functions, including recognition and analysis of algebraic and transcendental functions.

• Algebraic and Transcendental Functions: Analyze, graph, and apply algebraic and transcendental functions.

• Equations and Inequalities: Solve equations and inequalities using appropriate algebraic techniques.

• Trigonometric Functions: Apply trigonometric functions to key angles in all quadrants of the unit circle, in both degrees and radians.

• Applications: Solve applied and oblique triangle problems.

Texas Core Objectives

• Critical Thinking: Includes creative thinking, innovation, inquiry, and analysis, as well as evaluation and synthesis of information.

• Communication: 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 to support a shared purpose or goal.

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

• Social Responsibility: Intercultural competence, knowledge of civic responsibility, and ability to engage effectively in regional, national, and global communities.

Required Course Materials

• Calculator: A scientific calculator is required; the TI-84 series is recommended.

Graded Work

Criteria

Type	Weight	Notes
Homework	11%	Multiple assignments; late work accepted with penalty until deadline.
Written Assignments	9%	In-class quizzes; lowest score dropped.
Unit Exams	60%	Four unit exams; lowest score dropped if all are completed.
Final Exam	20%	Comprehensive; no makeups or retakes.

Grade Breakdown

Grade	Range
A	90-100
B	80-89
C	70-79
D	60-69
F	0-59

Course Schedule (Selected Topics)

Date	Topic
1/23	2.1 Functions
1/25	2.2 The Graph of a Function
1/30	2.4 Library of Functions, Piecewise-defined Functions
2/1	2.5 Shifting, Reflecting, Stretching Graphs
2/6	4.1 Polynomial Functions
2/8	4.2 The Graph of a Polynomial Function
2/13	4.3 Properties of Polynomial Functions
2/15	4.4 The Graph of a Rational Function
2/20	4.5 Properties of Rational Functions
2/22	5.1 Exponential Functions
2/27	5.2 Logarithmic Functions
3/1	6.1 Trigonometric Functions
3/6	6.2 Trigonometric Functions, Unit Circle Approach
3/8	6.3 Properties of Trigonometric Functions
3/20	7.1 The Inverse Sine, Cosine, and Tangent Functions
3/22	7.2 The Inverse Trigonometric Functions Continued
3/27	7.3 Trigonometric Equations
4/3	9.1 Polar Coordinates
4/5	9.2 Polar Equations of Graphs
4/10	9.4 Vectors in Space
4/12	10.1 The Parabola
4/17	10.2 The Ellipse
4/19	10.3 The Hyperbola
4/24	12.1 Sequences
4/26	12.2 Geometric Sequences, Series

Additional info: The schedule covers all major Precalculus topics, including functions, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, polar coordinates, vectors, analytic geometry, and sequences/series.

Course Policies

• Unexpected Class Changes: Students should sign up for notifications and check announcements for schedule updates.

• Attendance and Participation: Regular attendance is expected; students are responsible for material missed during absences.

• Late Work/Missed Exams: Homework can be completed late with a penalty; missed exams require documentation for make-up consideration.

Support and Institutional Policies

• Support Contacts: Academic coaching, tutoring, and student care resources are available.

• Institutional Policies: Policies regarding students with disabilities, discrimination, and harassment are enforced.