2017-2018 Course Catalog – Mathematics

◄ Humanities: Foreign Language

Mathematics

CL College Level

CP College Prep

DC Dual Credit

XC Exploratory Course

MAT02999/03000 – Geometry (CP)

Prerequisite: Placement
Credit: 1 credit per semester
Offered: Fall/Spring Sequence

The mathematics requirement for graduation from the Indiana Academy is eight credits in mathematics with four taken at the Academy including 2 credits in Algebra 1, 2 credits in Geometry, 2 credits in Algebra 2, and 2 credits in courses beyond Algebra 2. The Academy will arrange for a student who comes to the Indiana Academy without Geometry to take it while here, usually at the Burris Laboratory School. This course will meet 5 days a week and be worth 1 credit per semester.

MAT03001/03002 – Advanced Algebra/Trigonometry 1, 2 (CP)

Prerequisite: Placement
Credit: 1 credit per semester
Offered: Fall/Spring Sequence

This course covers topics that include solutions of systems of equations and inequalities, simplifying algebraic expressions, radicals, polynomial, exponential and logarithmic functions, circular and trigonometric functions including trigonometric identities and the trigonometry of right triangles. This course serves as preparation for Precalculus.

MAT03101/03102 – Precalculus 1, 2 (CP)

Prerequisite: Placement
Credit: 1 credit per semester
Offered: Fall/Spring Sequence

This course provides a thorough, careful study of basic precalculus topics. Topics include linear and quadratic functions, polynomial functions, inequalities, graphs of functions, exponential and logarithmic functions, trigonometric functions and equations, and triangle trigonometry.

Students completing this course will generally choose two courses from among Calculus, Statistics, and Finite Mathematics for the senior year. Exceptional students may be allowed to enroll in Advanced Placement Calculus AB.

MAT03311/03312 – Precalculus for Advanced Placement 1, 2 (CP)

Prerequisite: Placement
Credit: 1 credit per semester
Offered: Fall/Spring Sequence

This course 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, exponential, logarithmic and trigonometric functions and their graphs. Topics for the second semester include triangle trigonometry, polar coordinates, vectors, sequences and series, analytic geometry, parametric equations, and limits. Elementary proof techniques will be employed throughout the course.

Successful completion of this course will generally result in enrollment in Advanced Placement Calculus AB or BC the senior year.

MAT04005 – Calculus (DC)

Prerequisite: Precalculus 2 (MAT03102) or Precalculus for AP 2 (MAT03312)
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. The TI-89 calculator with symbolic algebra capabilities is used extensively.

Not open to students with credit in Advanced Placement Calculus.

* Ball State University offers 4 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: Precalculus for AP 2 (MAT03312) or Precalculus 2 (MAT03102) with teacher recommendation, or placement
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 this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04133/04134 – AP Calculus BC 1, 2 (DC)

Prerequisite: Precalculus for AP 2 (MAT03312) with teacher recommendation, or placement
Credit: 1.25 credits per semester
Offered: Fall/Spring Sequence

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, integrals, 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.

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

* Ball State University offers 4 college credit hours per semester in MATH 165 and 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.

MAT04515 – Quantitative Reasoning (DC)

Prerequisite: Algebra II (Not open to students who have credit in or are taking BSU MATH 125)
Credit: 1 credit
Offered: Fall or Spring

This course exposes students to a variety of practical applications in order to further develop problem-solving skills and other fundamental mathematics skills. Elementary probability theory and basic statistics are core topics of the course. Additional topics are selected from linear programming, mathematics of finance, voting methods, and graph theory.

* Ball State University offers 3 college credit hours per semester in MATH 125 to students who complete this course. Refer to the Dual Credit section for details on enrollment and fees.

MAT04831 – Probability Theory (CL)

Prerequisite: AP Calculus AB 1 (MAT04123) or AP Calculus BC 1 (MAT04133)
Credit: 1 credit
Offered: Fall

This course is a calculus-based introduction to the theory of probability. It includes topics such as expectations, conditional probability, discrete and continuous random variables, probability distributions, empirical probabilities, and formulation of mathematical models.

Advanced Electives

MAT04825 – AP Statistics (DC)

Corequisite: Precalculus for AP 2 (MAT03312) or permission of Division Chair
Credit: 1.25 credits
Offered: Spring

This course meets four days a week and covers the College Entrance Examination 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. Students who received dual credit for MATH 181 from Statistics (MAT04514) are not eligible to also receive dual credit for MATH 181 from AP Statistics. 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 (MAT04134)
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: Fall

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’s 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: Multivariable Calculus (MAT04833)
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; nth 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.

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