College Algebra MATH 275 (Sect 002) Fall Semester 2018 Class

College Algebra MATH 275 (Sect 002) Fall Semester 2018 Class meets: Online

This course picks up where Intermediate Algebra left off. Topics covered include algebraic equations and inequalities, absolute value, polynomial, rational, exponential, and logarithmic functions, conic sections, systems of equations and inequalities, matrices, and determinants. Additional topics may include sequences and series, combinatorics, probability, and mathematical induction. Materials required include the textbook "College Algebra," 11th edition by Lial et al (2014). The grading breakdown is five tests worth 15 points each, attendance in discussion forums worth 25 points, totaling 100 points.

Cheating on exams or plagiarism in discussion forums will not be tolerated. All sources must be cited, and work must be original. Violations will result in failure. Students are expected to be respectful in online interactions and to participate actively by logging in weekly, reading lessons, practicing questions, and posting at least two discussion posts. Regular participation is mandatory for passing. Attendance is tracked through forum participation, and failure to engage may lead to being dropped from the course.

The course is accessible to all students eligible for participation. Students with disabilities should contact the instructor or the Disability Resource Center for accommodations. The course schedule spans 15 weeks, covering introduction, algebraic equations, absolute value, polynomials, rational functions, exponential and logarithmic functions, conic sections, systems, matrices, sequences, series, combinatorics, probability, and mathematical induction, with weekly topics and tests accordingly.

Paper For Above instruction

Introduction

College Algebra is a fundamental course designed to reinforce and extend previously learned algebraic concepts, preparing students for higher mathematics and various analytical fields. The curriculum encompasses a broad spectrum of topics, including algebraic equations, inequalities, functions, and advanced systems, which are essential for mathematical literacy and problem-solving skills.

Course Outline and Content

The course begins with an overview of algebraic equations and inequalities, establishing a foundation for understanding how to manipulate and analyze different forms of expressions. Mastery of absolute value, polynomial, and rational functions follows, providing students with critical skills for modeling real-world phenomena. Exponential and logarithmic functions are then introduced, emphasizing their applications in growth and decay processes, finance, and scientific measurement. Conic sections, such as circles, ellipses, parabolas, and hyperbolas, are explored to deepen understanding of geometric and algebraic connections.

Further, students learn to solve systems of equations and inequalities, both graphically and algebraically, vital for multidisciplinary problem-solving. Matrix theory and determinants are introduced, equipping students with tools used in linear algebra and data analysis. Additional topics, including sequences and series, provide insight into quantitative patterns over time, while combinatorics and probability facilitate understanding of counting principles and chance, respectively. The course concludes with an exploration of mathematical induction, a rigorous proof technique for establishing the validity of propositions.

Assessment and Grading

Evaluation in this course is based on five examinations, each worth 15 points, covering the key topics discussed in each week’s modules. Regular participation in discussion forums accounts for 25 points, encouraging online engagement and collaborative learning. Total points available amount to 100, and a minimum participation of two posts per week is required to meet attendance standards. Participation and active engagement are crucial not only for grades but also for effective learning, especially in an online environment.

Academic Integrity and Conduct

Strict adherence to academic integrity is emphasized. Any forms of cheating or plagiarism will be met with failure and disciplinary action. All work submitted must be original, and sources must be properly cited. Respectful communication in online discussions fosters a positive learning atmosphere, and students are encouraged to voice concerns directly to the instructor rather than vent publicly.

Accessibility and Inclusivity

The course is designed to accommodate all students registered under the university’s policy on accessibility. Students requiring adjustments due to disabilities should coordinate with the instructor or Disability Resource Center promptly to ensure accommodations are in place.

Conclusion

College Algebra serves as a critical stepping stone into more advanced mathematical studies and applications. Through careful study of core algebraic topics and active participation, students develop essential skills for academic success and practical problem-solving in diverse fields. The structured schedule, assessments, and supportive environment aim to facilitate effective learning and mastery of complex concepts, ultimately empowering students in their academic pursuits and beyond.

References

  • Lial, R., Hornsby, J., & McGinnis, D. (2014). College Algebra (11th ed.). Pearson.
  • Anton, H., Bivens, I., & Davis, S. (2013). Calculus: Early Transcendental Functions. Wiley.
  • Lay, D. C. (2012). Linear Algebra and Its Applications. Pearson.
  • Larson, R., & Edwards, B. H. (2013). Elementary Linear Algebra. Brooks Cole.
  • Stewart, J. (2015). Calculus: Concepts and Contexts. Brooks Cole.

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