MSKL 0100 Pre-calculus

An introductory course in pre-calculus mathematics, covering functions, polynomials, trigonometry, and exponential and logarithmic functions. This course is designed for students preparing for calculus and emphasizes conceptual understanding alongside computational skills.

Instructor: Adriana-Stefania Ciupeanu

Term: Fall

Location: University of Manitoba, Extended Education

importance: 1

Course Overview

MSKL 0100 Pre-calculus provides a comprehensive foundation in mathematical concepts essential for calculus and beyond. This course emphasizes both conceptual understanding and practical problem-solving skills, with particular attention to making mathematics accessible to students with varying backgrounds and comfort levels.

Course Content

  • Functions and Transformations: Domain, range, composition, inverse functions, and function transformations
  • Polynomial and Rational Functions: Factorization, zeros, asymptotes, and graphing
  • Exponential and Logarithmic Functions: Properties, equations, and applications
  • Trigonometric Functions: Unit circle, identities, graphing, and applications
  • Systems and Inequalities: Solving systems algebraically and graphically

Learning Goals

By the end of this course, students will be able to:

  • Understand and work fluently with functions in multiple representations (symbolic, graphical, numerical)
  • Apply algebraic and transcendental functions to model real-world phenomena
  • Solve equations and inequalities with confidence and flexibility
  • Communicate mathematical ideas clearly in both written and verbal forms

Teaching Philosophy

This course is taught with the belief that mathematics is accessible to all students. The instructor prioritizes:

  • Building intuition alongside procedural fluency
  • Providing multiple approaches and representations of concepts
  • Creating a supportive environment for students with math anxiety
  • Connecting abstract concepts to concrete applications

Support and Resources

Students are encouraged to seek help early and often through office hours, tutoring services, and study groups. The instructor is committed to supporting student success at every level.