Advanced & AP Math/CS Courses

District Director of Mathematics: Dr. Cheryl Engel, cengel@mhrd.org

When reviewing the coursework outlined below, please note that math teachers will recommend appropriate levels for students. These recommendations will be based on factors such as grades, homework, classwork, tests, quizzes, motivation, and aptitude. Students wishing to enroll in a course or level not recommended by their teacher must complete a math course waiver. Note: Waivers can only be pursued if the prerequisite coursework has been completed.

Advanced Mathematics Courses

PRECALCULUS (MT231)

Grades 10, 11, 12; 5 credits; One Year Elective

Prerequisites: Algebra 2 CPA and Geometry CPA

This course is an advanced elective that helps develop concrete and abstract thinking skills. These skills are essential to a student's future and, while designed to prepare students for calculus, can be utilized regardless of the path the student chooses. Precalculus challenges students with a graphing intensive study of functions including the study of polynomial, rational, trigonometric, exponential and logarithmic functions, the polar coordinate system and an introduction to calculus. This course may have an optional Summer Assignment. ^^Three college credits may be earned through the Fairleigh Dickinson University Middle College Program. Course alignment varies on a year-to-year basis- check with your instructor.

PRECALCULUS H (MT330)

Grades 10, 11, 12; 5 credits; One Year Elective

Prerequisites: Algebra 2 CPA/H and Geometry CPA/H

The honors-level course is an advanced mathematics class designed to develop both concreate and abstract thinking skills, which are essential for future academic success. This course prepares students for AP Calculus, equipping them with the foundational knowledge and skills necessary for success in higher-level mathematics. Students will be challenged with a graphing intensive study of functions including the study of polynomial, rational, trigonometric, exponential and logarithmic functions, the polar coordinate system and an introduction to calculus. Additionally, Precalculus H strengthens mathematical skills required in other high school courses, such as chemistry, biology, physics, business, and computer programming. This course may have an optional Summer Assignment. ^^Three college credits may be earned through the Fairleigh Dickinson University Middle College Program. Course alignment varies on a year-to-year basis- check with your instructor.

CALCULUS & ANALYTIC GEOMETRY H (MT340)

Grades 11, 12; 5 credits; One Year Elective

Prerequisite: Precalculus/Precalculus H or Academy Math Analysis 2 H

This course is designed for the student whose past achievement, interest, and potential indicate a rigorous approach to mathematics is feasible. This is a standard first year college course covering analytic geometry, differential calculus, and elementary integral calculus. The text is one widely used by colleges. Emphasis is on theoretical backgrounds of the operations of calculus. Calculus and Analytic Geometry will provide an excellent culmination of high school mathematics—one that uses many of the skills learned in previous courses as well as a preview of the mathematics of college. ^^Three college credits may be earned through the Fairleigh Dickinson University Middle College Program. Course alignment varies on a year-to-year basis- check with your instructor.

CALCULUS 3 MULTIVARIABLE H (MT341)

Grade 12; 5 credits; One Year Elective

Prerequisite: AP Calculus BC

In Calculus 3 students draw upon the knowledge obtained in AP Calculus and extend it to three-dimensional space. This advanced mathematics course is ideal for those students planning a career in physics, engineering or other mathematically-oriented disciplines, as the techniques learned and discovered lay the foundation for many important theories and applications. This course emphasizes conceptual understanding and (intelligent use of) technology. Group discussion and teamwork are emphasized as the students and the instructor will benefit greatly by working on and discussing problems together. College credit is available through NJIT. ^^Three college credits may also be earned through the Fairleigh Dickinson University Middle College Program. Course alignment varies on a year-to-year basis- check with your instructor.

AP Mathematics Courses

ADVANCED PLACEMENT CALCULUS AB (MT440)

Grades 11, 12; 5 credits; One Year Elective

Prerequisites: Precalculus/Precalculus H or Academy Math Analysis 2 H

Advanced Placement Calculus AB prepares students for the AB level examination of the College Board Advanced Placement Program. This course, which covers differential and integral calculus, parallels a first-year college course in calculus and is designed for students who have demonstrated high proficiency in previous college preparatory mathematics courses. Students can expect detailed work in both theoretical and practical aspects. This course may have an optional Summer Assignment.

ADVANCED PLACEMENT CALCULUS BC (MT441)

Grades 11, 12; 5 credits; One Year Elective

Prerequisites: Precalculus H or Academy Math Analysis 2 H; Departmental approval required

Advanced Placement Calculus BC prepares students for the BC level examination of the College Board Advanced Placement Program. The course, which covers differential and integral calculus, plus the topics of series, polar graphs, and vectors, parallels as a first-year college course in calculus and is designed for students who have demonstrated high proficiency in previous college preparatory mathematics courses. Students can expect detailed work in both theoretical and practical aspects. This course may have an optional Summer Assignment.

ADVANCED PLACEMENT STATISTICS (MT450)

Grades 10, 11, 12; 5 credits; One Year Elective

Prerequisites: Algebra 2 CPA/H or Academy Math Analysis 1 H

Advanced Placement Statistics prepares students for the AP Statistics Examination of the College Board Advanced Placement Program. This course provides college-level work in statistics and will include topics of data analysis, probability and inference. Technology will be an integral part of the course. Students can expect detailed work in both theoretical and practical applications.

Computer Science Courses

CYBERSECURITY FOUNDATIONS (MT910)

Grades 9, 10, 11, 12; 5 credits; Does not satisfy mathematics graduation requirement

Prerequisite: None

Cybersecurity Foundations is an engaging, hands-on course that provides students with practical skills and a comprehensive understanding of cybersecurity. This course emphasizes critical thinking and technical proficiency, preparing students for future studies or careers in the field. Through the exploration of ethical principles, technical concepts, and strategic approaches, students will develop the expertise needed to safeguard and defend digital assets in today’s interconnected world. This course meets the TCLC graduation requirement.

ADVANCED PLACEMENT COMPUTER SCIENCE PRINCIPLES (MT421)

Grades 9, 10, 11, 12; 5 credits; One Year Elective

Prerequisite: successful completion of Algebra 1; Does not satisfy mathematics graduation requirement

AP Computer Science Principles offers a multidisciplinary approach to teaching the underlying principles of computation. The course will introduce students to the creative aspects of programming, abstractions, algorithms, large data sets, the Internet, cybersecurity concerns, and computing impacts. AP Computer Science Principles will give students the opportunity to use technology to address real-world problems and build relevant solutions. This course prepares the student for the Advanced Placement Computer Science Principles exam offered by the College Board.

ADVANCED PLACEMENT COMPUTER SCIENCE A (MT420)

Grades 10, 11, 12; 5 credits; One Year Elective

Prerequisite: Algebra 2 CPA/H or Academy Math Analysis 1H or AP Computer Science Principles; Does not satisfy mathematics graduation requirement

This course prepares the student for the Computer Science A Examination of the College Board Advanced Placement Program. Topics are presented at the depth and rigor of a college course and parallel those taught in a first-year college course for Computer Science, Math, Physics, Engineering, and other STEM majors. Students can expect detailed work in both theoretical and practical aspects of computer science with an emphasis on JAVA language syntax, program logic, modular design, algorithms, and data structures. Applications and social implications of computing are also integrated into the course. Students who successfully complete this course will be able to achieve advanced standing into the appropriate course and for appropriate credit as determined by the result of the AP examination. This course meets the TCLC graduation requirement.

Advanced & AP Math/CS Courses

Advanced Mathematics Courses

AP Mathematics Courses

Computer Science Courses

Go to Math Core & Elective Courses