MAT 1200: Pre-Calculus

05/01/2025 to 05/30/2026 • Modified 04/29/2025
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Course Description

This year-long course will begin with a review of essential algebraic concepts and expand to include more advanced algebraic and trigonometric concepts needed for Calculus and higher mathematics. Students will review such topics as exponents, functions, radicals, polynomials, factoring, and complex numbers. The student will then study material related to trigonometric identities, systems of equations and matrices, and graphing everything from linear and quadratic functions to vectors and polar coordinates. Concepts such as absolute value, synthetic division, and radical expressions will be coupled with real-life applications of trigonometric functions, combinations, and probability. Students will have access to engaging multimedia video lectures, written examples for each lesson summarizing the video content, practice problems, and assessments.

Next Start Date*

Next Monday

Program Restrictions*

  • ESD: Elementary School Diploma (ESDP-ESD-D) Excluded
  • MSD: Middle School Diploma (MSDP-MSD-D) Excluded

Prerequisite Requirements*

Any of the following:

  • All of the following:
    • MAT 1001 previously completed with a minimum grade of D
         and
    • MAT 1002 previously completed with a minimum grade of D

       or
  • All of the following:
    • MAT 1001 previously completed with a minimum grade of D
         and
    • MAT 1005 previously completed with a minimum grade of D
         and
    • MAT 1006 previously completed with a minimum grade of D

       or
  • All of the following:
    • MAT 1002 previously completed with a minimum grade of D
         and
    • MAT 1003 previously completed with a minimum grade of D
         and
    • MAT 1004 previously completed with a minimum grade of D

       or
  • All of the following:
    • MAT 1003 previously completed with a minimum grade of D
         and
    • MAT 1004 previously completed with a minimum grade of D
         and
    • MAT 1005 previously completed with a minimum grade of D
         and
    • MAT 1006 previously completed with a minimum grade of D

       or
  • All of the following:
    • MAT 1101 previously completed with a minimum grade of D
         and
    • MAT 1102 previously completed with a minimum grade of D

       or
  • All of the following:
    • MAT 1101 previously completed with a minimum grade of D
         and
    • MAT 1105 previously completed with a minimum grade of D
         and
    • MAT 1106 previously completed with a minimum grade of D

       or
  • All of the following:
    • MAT 1102 previously completed with a minimum grade of D
         and
    • MAT 1103 previously completed with a minimum grade of D
         and
    • MAT 1104 previously completed with a minimum grade of D

       or
  • All of the following:
    • MAT 1103 previously completed with a minimum grade of D
         and
    • MAT 1104 previously completed with a minimum grade of D
         and
    • MAT 1105 previously completed with a minimum grade of D
         and
    • MAT 1106 previously completed with a minimum grade of D

       or
  • All of the following:
    • MAT 1000 previously completed with a minimum grade of D
         and
    • MAT 1100 previously completed with a minimum grade of D

High School Diploma Requirements*

  • Contributes 1 credit to LUOA – Mathematics, Mathematics Requirement.

Schedule

Module 1: Algebra Review

  • Week 1: Exponents, Radicals & Expressions
  • Week 2: Equations & Inequalities
  • Week 3: Modeling, Midpoint, Circles & Complex Numbers
  • Week 4: Functions

Module 2: Functions & Polynomials

  • Week 5: Graphs, Composite Functions & Inverse Functions
  • Week 6: Graphing Functions
  • Week 7: Solving Polynomials
  • Week 8: Exponential & Logarithmic Functions
  • Week 9: Exponential & Logarithmic Equations

Module 3: Introduction to Trigonometry

  • Week 10: Introduction to the Unit Circle
  • Week 11: Inverse Trigonometric Functions
  • Week 12: Using Trigonometry to Solve Right Triangles
  • Week 13: Using Trigonometry to Solve Real-World Problems

Module 4: Graphing Trigonometric Functions

  • Week 14: Graphing Trigonometric Functions
  • Week 15: More Graphing Sine & Cosine
  • Week 16: Graphing Secant & Cosecant
  • Week 17: Graphing Tangent & Cotangent
  • Week 18: Modeling with Trigonometric Equations

Module 5: Trigonometric Expressions & Equations

  • Week 19: Trigonometric Identities
  • Week 20: More Trigonometric Identities
  • Week 21: Trigonometric Equations
  • Week 22: Polar Equations

Module 6: Applications of Trigonometry

  • Week 23: Parametric Equations
  • Week 24: Vectors
  • Week 25: Using Vectors to Solve Equations
  • Week 26: Sequences & Series
  • Week 27: Mathematical Induction & the Binomial Theorem

Module 7: Precalculus

  • Week 28: Probability
  • Week 29: Introduction to Conics
  • Week 30: Conics & Systems of Equations in 2 Variables
  • Week 31: Other Systems of Equations & Inequalities

Module 8: Review & Introduction to Calculus

  • Week 32: Piecewise Functions & Partial Fractions
  • Week 33: Rational Equations & Continuity of Graphs
  • Week 34: Trigonometry Review & Limits
  • Week 35: Limits Continued, Asymptotes, & Tangent Lines
  • Week 36: Exam Review
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*Course specifics are tentative and subject to change each year. For the most current information, please refer to the Course Registration Tool.
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