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ADVANCED PLACEMENT CALCULUS AB SENIOR ALGEBRA
Course ID: MAT4031-4032 Course ID: MAT4011-4012
Prerequisite: FST/Pre-Calculus or Pre-Calculus Prerequisite: Advanced Algebra
Credit: 1.0 (Semester 1 and 2) Credit: 1.0 (Semester 1 and 2)
Grades: 12 Grades: 12
Description: Students enrolling in this course must have taken Pre- Description: A student enrolling in this course must be a Senior who
Calculus, have a strong foundation, desire, and purpose to study has successfully completed Advanced Algebra. This introductory
calculus and have adequate time available to meet the demands of the college algebra course is designed as a fourth year math alternative
course. Students are required to have a graphing calculator, preferably for students who are not anticipating taking Calculus in their future.
a Texas Instruments TI-83 Plus or TI-84 model. At the completion of It would be ideal for students considering a Madison College
the course, students may elect to take the Advanced Placement educational path post high school. Successful completion of this
Calculus AB Exam to earn college credit. Units of Study include: course satisfies the Madison College prerequisites for Intermediate
Numerical Techniques; Implicit Differentiation; Indefinite Integrals;
Exponential Functions; Limits of Functions; Definite Integrals; Related Algebra, Technical Math 1, and Industrial Math 1. Topics covered
Rates; Continuity; The Fundamental Theorem; Inverse Trigonometric include operating with real numbers and applying the order of
Functions; Definition of a Derivative; Applications of Derivatives; The operations to simplify numeric expressions, applying the laws of
Mean Value Theorem; Differentiation Rules; Natural & Common exponents to operate with polynomials, factoring quadratic
Logarithms; Applications of Integration; Curve Sketching; and expressions, simplifying and solving linear and quadratic equations in
Optimization. one variable, solving 2 x 2 systems of equations, graphing linear
equations in two variables, simplifying and solving equations

ADVANCED PLACEMENT CALCULUS BC containing a square root and simplifying and solving rational
expressions.
Course ID: MAT4041-4042
Prerequisite: AP Calculus AB
Credit: 1.0 (Semester 1 and 2) Students entering 11th and/or 12th grade who are interested
Grades: 12 in occupational class work that combines academic and
Description: AP Calculus BC includes calculus topics that are typically technical studies with mentored, on-the-job training at a local
encountered beginning in College Calculus I up through the end of business can apply for a:
College Calculus II. Topics will follow the College Board’s AP Calculus Science, Technology, Engineering & Math
BC course description and emphasize differential calculus and
integral calculus, including applications involving parametric and (STEM) Youth Apprenticeship
polar curves, sequences, and series. These rigorous one- or two-year programs include pathways
for Engineering and Biosciences. Please refer to the “School to
ADVANCED PLACEMENT STATISTICS Career” section in the course handbook for more information
on this work based learning opportunity that provides
Course ID: MAT3031-3032 students with industry-defined occupational and employability
Prerequisite: FST skills.
Credit: 1.0 (Semester 1 and 2)
Grades: 11-12
Description: Students must have successfully completed FST to
enroll in this course. This course may be taken concurrently with Pre-
Calculus, AP Calculus, or FST/Pre-Calculus. Strong math students may
take AP Stats concurrently with FST, with instructor consent.
Students will need a graphing calculator, preferably a Texas
Instruments TI-83 Plus or TI-84 model. At the completion of the
course, students may elect to take the Advanced Placement Statistics
Exam to earn college credit. Units of Study include: Analysis of
univariate data (one variable statistics); Analysis of bivariate data and
regression models; Experiment design; Inference (Hypothesis
Testing, Confidence Intervals); Probability, and AP Exam prep.