2024-2025 Course Catalog – Mathematics

MAT03121/03122
AP Precalculus SL 1, 2 (DC)

Prerequisite: Fall – Placement
Spring – Successful completion of AP Precalculus SL 1 or permission of Math Division Chair
Credit: 1 credit per semester
Offered: Fall/Spring Sequence

AP Precalculus – Standard Level prepares students for additional mathematical study by reviewing algebra and trigonometry. Topics include linear and quadratic functions, polynomial functions, inequalities, graphs of functions, exponential and logarithmic functions, trigonometric functions and equations, and triangle trigonometry, with a focus on mathematical modeling.

The two-semester sequence covers Units 1, 2, and 3 of the AP Precalculus Course and Exam Description and prepares students for the national AP exam. Students completing this course will generally choose from among Calculus, Statistics, and Quantitative Reasoning in the following year. Exceptional students may be considered for enrollment in Advanced Placement Calculus AB.

AP Precalculus – SL is not open to students with credit in the corresponding semester of AP Precalculus – EL.

* Ivy Tech Community College offers 3 college credit hours in MATH 136 to students who complete both semesters of this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT03131/03132
AP Precalculus EL 1, 2 (DC)

Prerequisite: Fall – Placement
Spring – Successful completion of AP Precalculus EL 1 or permission of Math Division Chair
Credit: 1 credit per semester
Offered: Fall/Spring Sequence

AP Precalculus – Extended Level provides the rigorous development of precalculus topics necessary to prepare students for studying Advanced Placement Calculus. The first semester will include the study of polynomial, rational, exponential, and logarithmic functions and their graphs. Topics for the second semester include trigonometry, polar coordinates, vectors, sequences and series, analytic geometry, parametric equations, and matrices. Elementary proof techniques and mathematical modeling will be employed throughout the course.

The two-semester sequence covers all four units of the AP Precalculus Course and Exam Description and prepares students for the national AP exam. Successful completion of this course will generally prepare students for Advanced Placement Calculus AB or BC or the equivalent college course.

AP Precalculus – EL 1 is not open to students with credit in AP Precalculus – SL 1.

* Ivy Tech Community College offers 3 college credit hours per semester in MATH 136 and MATH 137 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04005
Calculus (DC)

Prerequisite: AP Precalculus SL 2 (MAT03122) or AP Precalculus EL 2 (MAT03132)
Credit: 1 credit
Offered: Fall

This course is an introduction to differential and integral calculus. Topics include limits, continuity, derivatives and definite integrals. The emphasis will be on applications and writing, rather than on theory.

Not open to students with credit in Advanced Placement Calculus.

* Ball State University offers 3 college credit hours in MATH 132 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04123/04124
AP Calculus AB 1, 2 (DC)

Prerequisite: Fall – AP Precalculus EL 2 (MAT03132) or AP Precalculus SL 2 (MAT03122) with teacher recommendation, or placement
Spring – Successful completion of AP Calculus AB 1 or permission of Math Division Chair
Credit: 1 credit per semester
Offered: Fall/Spring Sequence

This course covers the College Entrance Examination Board’s AB syllabus in Advanced Placement Calculus. Students are encouraged to register for the AP exam and may find that their college grants them credit equivalent to one semester of college calculus. Topics covered include properties of functions, limits, differential calculus and its applications, and integral calculus and its applications. Treatment of these topics involves both theory and its implementation on graphing calculators.

Not open to students with credit in AP Calculus BC.

* Ball State University offers 4 college credit hours in MATH 165 to students who complete both semesters of this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04133
AP Calculus BC 1 (DC)

Prerequisite: AP Precalculus EL 2 (MAT03132) with teacher recommendation, or placement
Credit: 1.25 credits
Offered: Fall

This course meets four days a week and covers the College Entrance Examination Board’s BC syllabus in Advanced Placement Calculus. Students are encouraged to register for the AP exam and may find that their college grants them credit for up to two semesters of calculus. Topics covered include limits, derivatives, and integrals as well as their application in numerous real-world problems. Treatment of these topics involves both theory and its implementation on graphing calculators.

AP Calculus BC 1 is not open to students with credit in AP Calculus AB 2

* Ball State University offers 4 college credit hours in MATH 165 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04134/04134B
AP Calculus BC 2 (DC)

Prerequisite: AP Calculus AB 2 (MAT04124) with teacher recommendation, AP Calculus BC 1 (MAT04133), or placement
Credit: 1.25 credits
Offered: Fall (MAT04134) or Spring (MAT04134B)

This course meets four days a week and covers the College Entrance Examination Board’s BC syllabus in Advanced Placement Calculus. Students are encouraged to register for the AP exam and may find that their college grants them credit for up to two semesters of calculus. Topics covered include techniques of integration, series, vectors, and parametric equations, as well as their application in numerous real-world problems. Treatment of these topics involves both theory and its implementation on graphing calculators.

* Ball State University offers 4 college credit hours in MATH 166 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04514
Statistics (DC)

Prerequisite: Algebra II
Credit: 1 credit
Offered: Fall or Spring

In this course, students do activities that guide them to discover statistical concepts, explore statistical principles, and apply statistical techniques. The course focuses on developing statistical reasoning through analysis of genuine data. The students will learn to describe the distribution of a variable, compare the distributions of two or more variables, and describe the relationship between two variables. The course introduces the issues of sampling, surveys, and experiments. Probability is introduced through simulations and these simulations build an understanding of the Central Limit Theorem. Inferences from data include confidence intervals and significance tests for a proportion, a mean, the difference between two proportions, and the difference between two means, both for matched pair designs and independent samples. Exploratory data analysis, data production issues and interpretation of results by the students are emphasized throughout.

* Ball State University offers 3 college credit hours in MATH 181 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04825
AP Statistics (DC)

Corequisite: AP Precalculus 2 (MAT03132) or permission of Math and Computer Science Division Chair
Credit: 1.25 credits
Offered: Spring

This course meets four days a week and covers the College Board’s syllabus in Advanced Placement Statistics. It is organized around the four broad conceptual themes of exploring data, planning a study, producing models using probability and simulation, and statistical inference. Exploratory analysis of data uses graphical and numerical techniques. An appropriate graphing calculator, such as the TI-84, and appropriate statistical software, such as Minitab or SAS, is used. The variety of associations among variables permeates most of statistics. Exploring these types of associations will engage critical thinking, problem solving, and creative abilities.

* Ball State University offers 3 college credit hours in MATH 181 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04832
Linear Algebra (DC)

Prerequisite: AP Calculus AB 2 (MAT04124) or AP Calculus BC 1 (MAT04133)
Credit: 1.25 credits
Offered: Fall

This course meets four days a week and includes the solution of linear systems, vector equations, linear transformation in two- and three-dimensional space, matrices and determinants, vector spaces, inner product spaces, eigenvalues and eigenvectors and related topics. There are some computational projects.

* Ball State University offers 4 college credit hours in MATH 217 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04833
Multivariable Calculus (DC)

Prerequisite: AP Calculus BC 2 (MAT04134)
Credit: 1.25 credits
Offered: Spring

This course meets four days a week and covers multidimensional calculus with applications. The topics include higher dimensional analytic geometry, vector-valued functions, motion, curvature and torsion, partial differentiation, directional derivatives, optimization, multiple integration in rectangular, cylindrical and spherical coordinates, vector fields, divergence, curl, line and surface integrals, work, flux, flow, Green’s theorem, the divergence theorem, Stokes’ theorem, and the fundamental theorem for line integrals. Students work with graphing calculators and a computer algebra package.

* Ball State University offers 4 college credit hours in MATH 267 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04834
Differential Equations (DC)

Prerequisite: AP Calculus BC 2 (MAT04134) or concurrent enrollment in AP Calculus BC 2 with the permission of the Math Division Chair.
Credit: 1 credit
Offered: Spring

This course is an introduction to ordinary differential equations and boundary value problems. The topics include first order linear, separable, exact, and homogeneous equations with applications in biology, chemistry, physics, and finance; numerical methods for first order equations; second order linear homogeneous and non-homogeneous equations, including the methods based on reduction of order; undetermined coefficients and variation of parameters with applications in physics; n^th-order linear equations and systems of first order linear equations including use of eigenvectors and eigenvalues.

* Ball State University offers 3 college credit hours in MATH 374 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.