UAF DMS Guidelines for Math 122X Essential Precalculus with Applications
Course Overview
Math 122X Essential Precalculus with Applications is a foundational mathematics course that provides students with the necessary mathematical preparation for calculus and other advanced mathematics courses. This course emphasizes the understanding and application of functions, graphs, and equations in various contexts, with particular focus on real-world applications relevant to science, technology, engineering, and mathematics fields.
Course Objectives
Upon successful completion of Math 122X, students will be able to:
- Demonstrate proficiency in algebraic manipulation and simplification of expressions
- Solve linear, quadratic, polynomial, rational, exponential, and logarithmic equations
- Analyze and graph various types of functions and their transformations
- Apply precalculus concepts to model and solve real-world problems
- Utilize technology appropriately to investigate mathematical concepts
- Develop critical thinking and mathematical problem-solving skills
- Communicate mathematical ideas effectively in written and oral form
Prerequisites
To enroll in Math 122X, students must have satisfied the following requirements:
- Mathematics Placement Test (MPT) score of 11 or higher, OR
- Successful completion of Math 105 Intermediate Algebra with a grade of C or better, OR
- Department approval
Course Topics
- Functions and Their Properties
- Domain, range, and function notation
- Composition and inverse of functions
- Transformations of graphs
- Polynomial Functions
- Equations, graphs, and applications
- Factorization techniques
- Rational root theorem
- Rational Functions
- Properties and graphs
- Vertical, horizontal, and slant asymptotes
- Applied problems
- Exponential and Logarithmic Functions
- Properties, graphs, and applications
- Exponential growth and decay models
- Properties of logarithms and change of base
- Trigonometric Functions
- Angle measurements in degrees and radians
- Unit circle definitions
- Graphs of basic trigonometric functions
- Inverse trigonometric functions
- Fundamental trigonometric identities
- Applications of Trigonometry
- Law of sines and cosines
- Solving triangles
- Trigonometric equations
- Modeling periodic phenomena
- Systems of Equations and Inequalities
- Substitution and elimination methods
- Gaussian elimination
- Matrices and determinants
- Linear programming applications
- Conic Sections
- Parabolas, circles, ellipses, and hyperbolas
- Standard forms and applications
- Sequences and Series
- Arithmetic and geometric sequences
- Sums of finite series
- Brief introduction to infinite series
Learning Resources
| Resource | Description | Access Information |
|---|---|---|
| Required Textbook | Precalculus: Mathematics for Calculus by Stewart, Redlin, Watson | Available at UAF Bookstore |
| Online Homework | MyMathLab or comparable online assignment system | Access code included with new textbooks |
| Math Lab | Free tutoring services | Chapman Building, Room 210 |
| Instructor Office Hours | One-on-one assistance | Schedule posted on Blackboard |
Assessment Methods
Student learning will be assessed through the following methods:
| Assessment | Percentage | Description |
|---|---|---|
| Homework | 20% | Weekly assignments completed via online system |
| Quizzes | 15% | Short assessments of key concepts (weekly/biweekly) |
| Midterm Exams | 30% | Two in-person exams (15% each) |
| Final Exam | 25% | Comprehensive exam covering all course material |
| Projects | 10% | Application-based individual or group projects |
Grading Scale
| Letter Grade | Percentage Range |
|---|---|
| A | 90-100% |
| B | 80-89% |
| C | 70-79% |
| D | 60-69% |
| F | Below 60% |
Important Grading Information
A grade of C- or higher in Math 122X is required to satisfy prerequisite requirements for Math 200 Calculus I. Students earning a grade of D+ or lower will need to retake the course before advancing to calculus.
Academic Integrity
Studying mathematics is about developing understanding, not just obtaining answers. Academic integrity is essential to the learning process. The following behaviors constitute academic dishonesty:
- Copying or allowing others to copy homework, quizzes, or exams
- Using unauthorized materials during exams
- Submitting work completed by others as your own
- Falsifying data or results
- Using online "answer services" to solve problems
- Collusion on assignments specified as individual work
Violations of academic integrity may result in a failing grade for the assignment or the course and may be reported to the Dean of Students.
Course Policies
Attendance Policy
Regular attendance is strongly recommended as mathematical concepts build upon each other. While attendance may not be taken daily in all sections, students are responsible for all material presented in class, including schedule changes and announcements. Excessive absence (typically more than three unexcused absences) may result in a lowering of the course grade.
Missed Work Policy
Late homework may be accepted with a penalty of 10% per day for up to three days after the deadline. Quizzes and exams may only be made up with documented emergencies and prior notification when possible. Documentation such as a medical excuse note must be provided for missed exams.
Calculator Policy
A graphing calculator is required for this course. The TI-83 Plus, TI-84, or TI-Nspire are recommended. The instructor will specify which calculator features may be used during quizzes and exams. Calculators with computer algebra systems (CAS) or those capable of symbolic manipulation may not be permitted on assessments.
Support Resources
- Math Lab: Free tutoring available in Chapman Building, Room 210 during posted hours
- Disability Services: Students with disabilities should contact Disability Services to arrange appropriate accommodations
- UAF Library: Additional resources and reference materials available
- Counseling Center: Academic and personal support services
- Student Success Center: Academic coaching and study skills assistance
Course Calendar Overview
While specific dates may vary by semester, the general course progression is as follows:
| Week | Topic | Assessment |
|---|---|---|
| Week 1-2 | Functions and Their Properties | Quiz #1 |
| Week 3-4 | Polynomial Functions | Quiz #2 |
| Week 5-6 | Rational Functions | Midterm Exam 1 |
| Week 7-8 | Exponential and Logarithmic Functions | Quiz #3 |
| Week 9-10 | Trigonometric Functions | Quiz #4 |
| Week 11-12 | Applications of Trigonometry | Midterm Exam 2 |
| Week 13 | Systems of Equations and Inequalities | Project Due |
| Week 14 | Conic Sections | Quiz #5 |
| Week 15 | Sequences and Series | Review |
| Final Exam Period | Comprehensive Final | Final Exam |
Course Success Strategies
To maximize success in Math 122X:
- Attend class regularly and actively participate
- Complete homework assignments before the next class meeting
- Form study groups with classmates for collaborative learning
- Ask questions immediately when concepts are unclear
- Utilize office hours and the Math Lab regularly
- Review previous exams and quizzes throughout the semester
- Master the required calculator functions early in the course
- Seek help at the first sign of difficulty, not just before exams
Transition to Calculus
Math 122X Essential Precalculus with Applications is designed to prepare students for Calculus I (Math 200). The course emphasizes not only computational skills but also the conceptual understanding necessary for success in calculus. Students who master the material in this course will have a solid foundation for the study of limits, derivatives, and integrals.
The applications integrated throughout the course highlight the relevance of precalculus concepts in various fields including science, engineering, economics, and social sciences. This approach helps students develop mathematical reasoning skills that extend beyond formula memorization and prepares them for the more abstract concepts encountered in calculus.
Important Administrative Information
Important Dates to Remember
Please check the university calendar for the current semester's deadlines regarding:
- Last day to add/drop without a "W"
- Last day to drop with a "W"
- Midterm exam dates
- Final exam schedule
- University holidays and breaks
Course Communication
All course communications will be conducted through Blackboard and your official UAF email address. Please check these regularly for announcements, assignment reminders, and course updates. The instructor will respond to emails within 24-48 hours on weekdays.
Student Responsibilities
Students are expected to:
- Complete all assignments on time and with academic honesty
- Attend and participate in class sessions
- Come prepared by reading material in advance when assigned
- Ask questions and seek help when needed
- Respect fellow students and the instructor in the classroom environment
- Follow all university policies and procedures
Departmental Contact Information
For questions or concerns about the Math 122X course that cannot be resolved with your instructor, please contact:
Department of Mathematics and Statistics (DMS)
University of Alaska Fairbanks
Chapman Building, Room 101
(907) 474-7332
uaf-math@alaska.edu
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