MATH 103 College Algebra: Syllabus and Course Structure Study Guide

Course Overview

Introduction to College Algebra (MATH 103)

This course is designed to build upon students' previous algebra experience and prepare them for further studies in mathematics and related fields. The focus is on understanding and applying algebraic functions, solving equations, and modeling real-world problems using mathematical concepts.

• Course Title: College Algebra (MATH 103)

• Instructor: Donna Harbin

• Class Meetings: Tuesdays and Thursdays, 10:30-11:45 AM (via Zoom)

• Required Textbook: Blitzer, Precalculus, 7th Edition (Pearson, eBook via MyMathLab)

• Prerequisites: Placement at MATH 103, or Math 82 with grade C or better, or instructor consent

Course Content and Learning Outcomes

Main Topics Covered

The course covers fundamental concepts in algebra, focusing on the following types of functions and their applications:

• Linear Functions

• Polynomial Functions

• Exponential Functions

• Logarithmic Functions

• Absolute Value and Piecewise-Defined Functions

• Systems of Equations

Students will analyze, interpret, and model real-world problems using these functions.

Student Learning Outcomes (SLOs)

• Apply appropriate mathematical processes to solve problems modeled by algebraic functions.

• Demonstrate effective use of technology in solving mathematical problems.

• Clearly communicate solutions using standard English and numeric, graphic, or symbolic representations.

Specific Course Competencies

• Perform algebraic operations on linear, polynomial, rational, exponential, logarithmic, and radical expressions.

• Solve linear, polynomial, rational, exponential, and radical equations and/or inequalities.

• Apply properties of functions to solve application problems.

• Construct and analyze graphs of various functions.

• Use technology to solve problems and analyze graphs.

• Select appropriate functions to model application problems.

• Explain solutions using numerical, graphical, symbolic, and verbal modes.

Required Materials and Technology

• Recent computer with reliable high-speed internet

• Supported browsers: Google Chrome, Mozilla Firefox, Apple Safari, Microsoft Edge

• Adobe Acrobat Reader

• Scientific calculator (recommended: Casio fx300ES; no graphing or cell phone calculators)

• Notebook for class notes and worked problems

• Daily access to UH email, Lamaku, and MyMathLab (MML)

Course Structure and Assessment

Assignments and Grading

Grades are based on a point system, with assignments submitted through MyMathLab (MML) and Lamaku. The following table summarizes the assessment categories and their point values:

Assessment Category	Number	Points Each	Total Points
MML Homework	25	7	175
MML Quizzes	Q1-4: 4 Q5-6: 2	15 20	100
Written Assignments	6	15	90
Discussions	7	5	35
MML Tests	3	150	450
MML Comprehensive Final Exam	1	150	150
Total			1000

Grading Scale

Grade	Points Required	Final Exam Minimum
A	≥ 900	≥ 75%
B	≥ 800	≥ 65%
C	≥ 700	≥ 55%
D	≥ 600	≥ 55%
F	< 600 or FE < 55%

Assignment Types

• Homework: Assigned in MML, unlimited attempts until due date, designed for mastery.

• Quizzes: Timed, multiple attempts, best score recorded, based on homework.

• Written Assignments: Require clear explanation and demonstration of mathematical reasoning; must be neat, organized, and use correct notation.

• Discussions: Participation required; post and reply to classmates.

• Tests: Timed, one attempt, help sheet allowed (no worked examples), written work must be submitted.

• Final Exam: Comprehensive, mandatory, minimum score required to pass the course.

Expectations and Success Strategies

• Spend 12-15 hours per week on the course.

• Practice math daily and keep up with assignments.

• Show all work and explain reasoning for each problem.

• Participate actively in class and group work.

• Use the course calendar for time management.

• Form study groups and seek tutoring early if needed.

• Communicate with the instructor via UH email for questions or help.

Academic Integrity and Conduct

• All submitted work must be your own; AI-generated solutions are not permitted.

• Cheating results in a zero for the assignment; a second offense results in an F for the course.

• Maintain respectful and professional behavior in all class interactions, both in-person and online.

• Follow netiquette guidelines for online communication.

Support Services

• Disability Services: Contact the Disability Services Counselor for accommodations.

• Learning Center: Tutoring and academic support available.

• Technical Support: 24/7 help for Lamaku and UH systems.

• Additional resources: Financial aid, counseling, campus security, and more.

Key Mathematical Concepts (Preview)

Types of Functions

• Linear Function: $f(x) = mx + b$

• Polynomial Function: $f(x) = a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0$

• Exponential Function: $f(x) = a \cdot b^x$

• Logarithmic Function: $f(x) = a \cdot \log_b(x) + c$

• Absolute Value Function: $f(x) = |x|$

• Piecewise-Defined Function: $f(x) = \begin{cases} x^2 & x < 0 \\ x & x \geq 0 \end{cases}$

Solving Equations

• Linear Equation: $ax + b = 0$

• Quadratic Equation: $ax^2 + bx + c = 0$

• Exponential Equation: $a \cdot b^{x} = c$

• Logarithmic Equation: $\log_b(x) = c$

Graphing Functions

• Identify intercepts, domain, range, and asymptotes.

• Use transformations (shifts, stretches, reflections) to modify basic graphs.

Example: Modeling with Functions

• Application: The population of a city grows exponentially. If the initial population is 10,000 and grows at 3% per year, the population after $t$ years is $P(t) = 10,000 \cdot (1.03)^t$.

Additional info:

• This syllabus provides a framework for the topics and expectations in a standard College Algebra course, which aligns with the Precalculus curriculum's foundational chapters.