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Biola University
MATH 103 - Calculus for Management Sciences Credits 3 Fundamental principles of differential and integral calculus. Applications chosen mainly from the management sciences. Note(s): Approved for General Education Math credit. Business Majors must pass online Pre- Business Calculus Course (free/no credit) prior to taking the course. Grade Mode: A, N. Restrictions: Must be Undergraduate Level. MATH 105 - Calculus I Credits 4 Limits, differentiation and integration of rational and trigonometric functions, with applications. Note(s): Approved for General Education Math credit. Grade Mode: A. Prerequisites: Four years of high school mathematics. Restrictions: Must be Undergraduate Level. MATH 106 - Calculus II Credits 4 Differentiation and integration of logarithmic, exponential and inverse trigonometric functions; various methods of integration; infinite sequences and series; parametric equations, polar coordinates. Grade Mode: A. Prerequisites: MATH 105. Restrictions: Must be Undergraduate Level. MATH 112 - Discrete Structures Credits 3 Elementary properties of sets, discrete probability and combinatorial analysis, graphs, relations, orderings, functions, simple algebraic structures, binary arithmetic and other bases, methods of proof. Grade Mode: A. Prerequisites: Three years of high school mathematics. Restrictions: Must be Undergraduate Level. MATH 117 - Fundamentals of Mathematics for Elementary Teachers I Credits 3 Problem solving, set theory, whole numbers, number theory, integers, rational numbers as fractions, decimals, percents, and real numbers. Use of manipulatives. Note(s): Cannot be counted toward the Mathematics major. Grade Mode: A. Restrictions: Must be Liberal Stds Multidisciplinary (LSMD), Liberal Studies Elementary Ed (LSEE), Interdisciplinary Education (INED) or Liberal Studies (LELS); and Undergraduate Level. MATH 118 - Fundamentals of Mathematics for Elementary Teachers II Credits 3 Introductory geometry, congruence, symmetry, measurement, algebra and coordinate geometry, statistics, probability. Use of manipulatives. Note(s): Cannot be counted toward the Mathematics major. Grade Mode: A. Restrictions: Must be Liberal Stds Multidisciplinary (LSMD), Liberal Studies Elementary Ed (LSEE), Interdisciplinary Education (INED) or Liberal Studies (LELS); and Undergraduate Level. MATH 120 - The Nature of Mathematics Credits 3 Selected topics in mathematics with consideration of historical development and related philosophical issues. Designed to meet the general education requirement in mathematics for liberal arts students. Note(s): Approved for General Education Math credit. May not be counted toward the Mathematics major. Credit given for either 120 or 130, not both. Grade Mode: A. Restrictions: Must not be Mathematical Science (MASC); and must be Undergraduate Level.
MATH 130 - Honors Nature of Mathematics Credits 3 A historical, thematic and integrative study of the nature of mathematics using selected topics. Readings in primary source material. Mathematical content includes number theory, geometries and concepts of calculus. Note(s): Approved for General Education Math credit. May be counted toward the Mathematics minor. Credit given for either 120 or 130, not both. Grade Mode: A. Prerequisites: MATH 101 or equivalent. Restrictions: Must be Undergraduate Level. MATH 190 - Business Statistics Credits 3 Collection and presentation of business data, central tendency and dispersion measures for business analysis, sampling and inference for confidence intervals and hypothesis testing, business forecasting with simple and multiple regression, index numbers. Note(s): Approved for General Education Math credit. Grade Mode: A. Restrictions: Must be Undergraduate Level. MATH 204 - Introduction to Abstract Math Credits 3 Set theory, Cartesian products, equivalence relations, images and inverse images, induction, recursions, inequalities, and field axioms. Emphasis on how to discover, write and present proofs. Grade Mode: A. Prerequisites: MATH 105. Restrictions: Must be Undergraduate Level. MATH 205 - Calculus III Credits 4 Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space. Grade Mode: A. Prerequisites: MATH 106. Restrictions: Must be Undergraduate Level. MATH 210 - Introduction to Probability and Statistics Credits 3 Nature of statistical methods, description of sample data, fundamental concepts of probability, probability distributions, sampling, estimation, correlation and regression, application of same. Note(s): Approved for General Education Math credit. Grade Mode: A. Restrictions: Must be Undergraduate Level. MATH 291 - Linear Algebra Credits 3 Topics from matrices, determinants, linear transformations and vector spaces. Grade Mode: A. Prerequisites: MATH 106. Restrictions: Must be Undergraduate Level. MATH 305 - Introduction to Real Analysis I Credits 3 The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. When Offered: Alternate years. Grade Mode: A. Credits 3 Introduction to abstract algebra with topics from elementary ring, field and group theories. Emphasis on ring of integers, congruences, polynomial domains, permutation groups. When Offered: Alternate years. Grade Mode: A. Prerequisites: MATH 204 and MATH 205. Restrictions: Must be Undergraduate Level. MATH 315 - Abstract Algebra I
Prerequisites: MATH 204 and MATH 291. Restrictions: Must be Undergraduate Level.
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