This is the first in the sequence of mathematics courses designed to ensure that students are prepared to take higher level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. It requires students to:

• represent and operate with complex numbers;
• explore the characteristics of basic functions utilizing tables, graphs, and simple
  algebraic techniques;
• operate with radical, polynomial, and rational expressions;
• solve equations, including quadratic, radical, and rational equations;
• investigate properties of geometric figures in the coordinate plane;
• use the language of mathematical argument and justification;
• discover, prove, and apply properties of polygons, circles and spheres;
• utilize counting techniques and determine probability;
• use summary statistics to compare samples to populations;
• explore variability of data; andfit curves to data and examine the issues related to curve fitting.

This is the second in the sequence of mathematics courses designed to ensure that students are prepared to take higher level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. It requires students to:

• explore the characteristics of exponential, logarithmic, and higher degree polynomial functions using tables, graphs, and algebraic techniques;
• explore inverses of functions;
• use algebraic models to represent and explore real phenomena;
• solve a variety of equations and inequalities using numerical, graphical, and algebraic techniques with appropriate technology;
• use matrices to formulate and solve problems;
• use linear programming to solve problems;
• use matrices to represent and solve problems involving vertex-edge;
• use right triangle trigonometry to formulate and solve problems;
• investigate the relationships between lines and circles;
• recognize, analyze, and graph the equations of conic sections;
• investigate planes and spheres;
• use sample data to make informal inferences about population means and standard deviations;
• solve problems by interpreting a normal distribution as a probability distribution; and design and conduct experimental and observational studies

This is the third in the sequence of mathematics courses designed to ensure that students are prepared to take higher level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. It requires students to:

• investigate and use rational functions;
• analyze and use trigonometric functions, their graphs, and their inverses;
• find areas of triangles using trigonometric relationships;
• use trigonometric identities to solve problems and verify equivalence statements;
• solve trigonometric equations analytically and with technology;
• use complex numbers in trigonometric form;
• understand and use vectors;
• use sequences and series;
• explore parametric representations of plane curves;
• explore polar equations;
• investigate the Central Limit theorem; and
• use margins of error and confidence intervals to make inferences from data

a college-level course taught on a high school campus, is divided into four major themes: exploratory analysis, planning a study, probability, and statistical inference. Exploratory analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns. Probability is the tool used to anticipate future behavior of data associated with a given model. Statistical inference is the process used to make decisions stemming from observed. This course is designed for students who want to pursue studies or careers in the quantitative or scientific fields, or fields that rely on statistical analysis of pertinent data.

In this course, which is similar to most first-semester calculus courses in college, we investigate the fundamentals of differential and integral calculus. Along with typical lectures and assessments, students participate in lab activities and one term project that demonstrate and enrich concepts presented in class. Use of graphing utilities and computers is integrated into the course as well. The prerequisite for this course is Analysis, but students from Trigonometry and/or non-AP Calculus can be enrolled with a teacher recommendation. Completion of this course qualifies students to enroll in AP Calculus BC.

This course, which is similar to most second-semester calculus courses in college, continues where Calculus AB ends. New topics include the calculus of series and parametric, polar, and vector functions. Along with typical lectures and assessments, students participate in computer activities and practice for the actual AP exam in May. Use of graphing utilities and computers is integrated into the course as well. The prerequisite for this course is AB, and completion of this course qualifies students to enroll in Multivariable Calculus.

Multi-Variable Calculus involves the study of functions in several variables. Topics include functions, limits, continuity, differentials, directional derivatives, partial derivatives, chain rule, multiple integrals, and applications. This course is designed for strong math students who want to pursue studies or careers in the quantitative or scientific fields. Prerequisites are AP Calculus AB and BC.

©2004-10 Kennesaw Mountain Magnet Program. Some rights reserved. For questions or comments, email Dr. Mimi Dyer, Academy Director.