Math 1111 College Algebra Syllabus and Course Structure

Course Overview

Introduction to College Algebra

This course provides a functional approach to algebra, emphasizing mathematical modeling, real data applications, and the use of technology. Students will study various types of functions and their applications, preparing for further coursework in mathematics and quantitative reasoning.

• Course Title: Math 1111 College Algebra

• Credit Hours: 3

• Prerequisites: Two years of high school algebra or equivalent

• Instructor: Mrs. Katelyn Coggins

• Schedule: MWF 12:40-1:35pm

• Final Exam: Wednesday, December 2nd, 7:30-9:30am

Course Content and Topics

Main Topics Covered

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

• Linear Functions

• Quadratic Functions

• Piece-wise Defined Functions

• Rational Functions

• Polynomial Functions

• Exponential Functions

• Logarithmic Functions

These topics align with the following Precalculus chapters:

• 0. Fundamental Concepts of Algebra

• 1. Equations and Inequalities

• 3. Functions & Graphs

• 4. Polynomial Functions

• 5. Rational Functions

• 6. Exponential and Logarithmic Functions

Student Learning Objectives

Key Outcomes

Upon completion, students will be able to:

• Solve equations: Use algebraic techniques to solve polynomial, rational, exponential, and logarithmic equations.

• Graph functions: Apply algebraic methods to graph polynomial, rational, exponential, and logarithmic functions.

• Model real-life situations: Use mathematical models to quantify real-world scenarios using appropriate technology.

Course Materials

Required Resources

• MyLabMath Day1Access: Online platform for assignments and course materials.

• Algebra & Trigonometry with Integrated Review (7th Edition) eText: Included with MyLabMath access.

• Calculator: Any scientific or graphing calculator (phones and smart devices not allowed during exams).

Assessment and Grading

Evaluation Methods

Student achievement is measured through homework, exams, and a comprehensive final exam. Extra credit is not offered. The lowest four homework grades are dropped at semester's end.

Assessment Category	Weight
Homework	30%
Exams (3 total)	45% (15% each)
Final Exam	25%

Grading Scale:

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

Course Schedule

Weekly Topics

The course is organized by chapters and sections, with tests approximately every four weeks. Below is a sample schedule:

Week	Topics
1	Syllabus & Course Intro, 1.1
2	1.2, 1.3
3	1.4, 1.5
4	Review, Test 1 (1.1-1.5)
5	1.6, 1.7
6	2.1, 2.2, 2.3
7	2.4, 2.5
8	Review, Test 2 (1.6-2.5)
9	2.6, 2.7
10	3.1, 3.2
11	3.5, Review
12	Test 3 (2.6-3.5), 4.1
13	4.2, 4.3
14	4.4, 4.5

Final Exam: Wednesday, December 2nd, 7:30am

Key Concepts in College Algebra

Fundamental Concepts of Algebra

Algebra is the study of mathematical symbols and the rules for manipulating these symbols. It forms the foundation for advanced mathematics and includes solving equations, manipulating expressions, and understanding functions.

• Variables: Symbols representing numbers or values.

• Expressions: Combinations of variables, numbers, and operations.

• Equations: Statements that two expressions are equal.

• Inequalities: Statements about the relative size of two expressions.

Functions and Their Properties

A function is a relation that assigns each input exactly one output. Functions are central to algebra and are used to model real-world situations.

• Definition: A function f is defined as $f(x)$, where $x$ is the input variable.

• Domain: The set of all possible input values.

• Range: The set of all possible output values.

• Types of Functions: Linear, quadratic, polynomial, rational, exponential, logarithmic.

Example: The linear function $f(x) = mx + b$ models straight lines, where $m$ is the slope and $b$ is the y-intercept.

Solving Equations

Solving equations involves finding the values of variables that make the equation true. Techniques vary depending on the type of equation.

• Linear Equations: $ax + b = 0$

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

• Polynomial Equations: $P(x) = 0$ where $P(x)$ is a polynomial

• Rational Equations: Equations involving fractions with polynomials in the numerator and denominator

• Exponential Equations: $a^x = b$

• Logarithmic Equations: $\log_a(x) = b$

Example: To solve $x^2 - 5x + 6 = 0$, factor to $(x-2)(x-3) = 0$, so $x = 2$ or $x = 3$.

Graphing Functions

Graphing is a visual representation of functions. Understanding the shape and behavior of graphs is essential for interpreting mathematical models.

• Linear Functions: Straight lines

• Quadratic Functions: Parabolas

• Polynomial Functions: Varying shapes depending on degree and coefficients

• Rational Functions: May have asymptotes and discontinuities

• Exponential Functions: Rapid growth or decay

• Logarithmic Functions: Slow growth, vertical asymptote

Example: The graph of $f(x) = x^2$ is a parabola opening upwards.

Applications and Modeling

Algebraic models are used to represent and solve real-world problems in business, science, and engineering.

• Mathematical Modeling: Using equations and functions to describe real phenomena.

• Technology: Graphing calculators and software assist in visualization and computation.

Example: Exponential functions model population growth: $P(t) = P_0 e^{rt}$.

Student Support and Policies

Academic Integrity

• Cheating: Not tolerated; may result in course failure and university disciplinary action.

• Use of Technology: Only approved calculators; no phones or smart devices during exams.

Attendance and Make-up Policy

• Attendance: Not mandatory but highly recommended.

• Make-up: Homework may be submitted late with penalty; tests missed require prompt communication with instructor.

Disability Accommodations

• Support: Reasonable accommodations provided for documented disabilities.

• Process: Contact SARC for assistance and present accommodation letter to instructor.

Additional Help

• Tutoring: Free services available through MASTER and Academic Success Center.

• Student Services: Counseling, health, and academic support resources are available.

Career Ready Competencies

Skills Developed

• Information Literacy: Locating and using information effectively.

• Inquiry and Analysis: Evaluating evidence and supporting conclusions.

• Problem Solving: Designing and implementing strategies to solve mathematical problems.

Important Dates

Date	Event
August 19-25	Drop/Add
September 7	Labor Day Holiday
November 3	Last day to withdraw without academic penalty
November 20	Last day of classes
November 23-28	Thanksgiving Holidays
November 30-December 5	Final Exams

Additional info: The syllabus provides a comprehensive overview of College Algebra, covering all major Precalculus topics related to algebraic functions, equations, and modeling. The course structure, assessment, and support policies are designed to ensure student success and mastery of quantitative skills.