Mathematics Department Courses - Level 4

  • M4 HONORS ALGEBRA II

    Grade: 9 - 11

    Duration: 2 Semesters

    Prerequisite: Geometry and teacher recommendation

    Credit: 0.5 per semester

    This is a rigorous, fast-paced advanced algebra course. Students will study functions and inverse functions, quadratic functions, polynomial functions, radical expressions and functions, trigonometric functions, exponential and logarithmic functions, inferential statistics, sequences and series, rational expressions and functions, and probability and combinatorics.

    Text: College Algebra, Sullivan and Trigonometry, Sullivan

     

    M4 HONORS PRECALCULUS

    Grade: 10 - 12

    Duration: 2 Semesters

    Prerequisite: Algebra II and teacher recommendation

    Credit: 0.5 per semester

    This is a rigorous, fast-paced Precalculus course. Students will study the circular and periodic functions, trigonometric identities and equations, inverse functions, DeMoivre’s Theorem, applications of the laws of sines and cosines, two- and three-dimensional analytic geometry including transformations and rotations, higher plane curves, polar coordinates, permutations, combinations, probability, mathematical induction and limits, vector analysis and vector operations and limited topics of linear algebra.

    Text: Precalculus with Limits, Larson

     

    ADVANCED PLACEMENT CALCULUS (AB)

    (College Board Approved)

    Grade: 9 - 12

    Duration: 2 Semesters

    Prerequisite: Grade in high C range in M4 Precalculus or meet level change criteria in M3 Precalculus and teacher

    recommendation

    Credit: 0.5 per semester

    This course focuses on a rigorous treatment of the theory of limits, differentiation and integration of algebraic, transcendental and trigonometric functions with applications examined throughout the course. Students will be prepared to take the AB Level of the College Board AP Examination in Calculus. After the AP exam, students will study additional topics appearing on the BC exam.

    Text: Single Variable Calculus, Stewart

     

    ADVANCED PLACEMENT CALCULUS (BC)

    (College Board Approved)

    Grade: 9 - 12

    Duration: 2 Semesters

    Prerequisite: Grade in mid B range in M4 Precalculus or grade in mid A range in M3 Introduction to Calculus and teacher recommendation

    Credit: 0.5 per semester

    This course covers the AB topics plus advanced techniques for integration, vector functions, parametric and polar curves, and power series.  Students will be prepared to take the BC Level of the College Board AP Examination in Calculus.  Work in the BC course is at the same level of difficulty as that in AB, but BC covers approximately 50% more content before the AP exam in May. Pacing of instruction is rigorous. Many universities consider AB to be equivalent to one semester of college calculus, while BC is equivalent to a full year of college calculus. After the AP exam, students will design and present a mathematical model of a real world problem.

    Text: Single Variable Calculus, Stewart

     

    M4 HONORS MULTIVARIABLE CALCULUS

    Grade 9 - 12

    Duration: 2 Semesters

    Prerequisite: AP Calculus AB or BC and teacher recommendation

    Credit: 0.5 per semester

    This course follows a seminar format in which students solve problems in teams and present their solutions to the class. Students will study the three-dimensional coordinate system, vector calculus, vector-valued functions, multivariable functions, partial derivatives, and multiple integrals.

    Text: Calculus: A Complete Course, Finney; Multivariable Calculus, Stewart; Calculus 5E, Anton

     

    ADVANCED PLACEMENT STATISTICS

    (College Board Approved)

    Grade: 11 - 12

    Duration: 2 Semesters

    Prerequisite: Grade in high C range in M4 Precalculus or meet level-change criteria in M3 Precalculus and teacher recommendation

    Credit: 0.5 per semester

    Emphasizing data collection, summarization, analysis, and interpretation as the basis for decision-making under uncertainty, this course focuses on the modern practice of statistics with references to published research in the social sciences and physical sciences. Students will study numerical and graphical summaries of data, probability, hypothesis testing, confidence intervals, and regression. The TI-84 calculator, SAS, and Microsoft Excel will be used extensively. Students will be prepared to take the AP examination in Statistics.

    With teacher recommendation, Students may take this course concurrently with Introduction to Calculus, AP/ECE Calculus, or Multivariable Calculus.

    Text: The Practice of Statistics for AP, 4th Ed, Starnes et al

      

    STATISTICS: UCONN

    (University of Connecticut Early College Experience Program Approved)

    Grade: 11 - 12

    Duration: 2 Semesters

    Prerequisite: Algebra 2 and teacher recommendation

    Credit: 0.5 per semester

    Students who participate in this course will be completing UCONN course STAT 1100Q: Elementary Concepts of Statistics for which they will receive 4 UCONN credits transferable to most other colleges and universities.

    A standard approach to statistical analysis is used primarily for students of business and economics; elementary probability, sampling distributions, normal theory estimation and hypothesis testing, regression and correlation, exploratory data analysis. Learning to do statistical analysis on a personal computer is an integral part of the course.

    Text: TBD