# Courses | B.S. in Mathematics

Below are some of the courses you’ll have an opportunity to take as a student in this program. Take a look at the list below to get an idea of the types of available courses. Also, be sure to review core curriculum requirements and the official program requirements in the Biola University catalog.

Note: This list is intended to give you a quick glimpse into the program’s academic offerings, and should not be used as a guide for course selection or academic advising.

#### Major Courses

 CSCI 105 Introduction to Computer Science Introduction to computer hardware and software. Problem solving methods. Elementary concepts of algorithm development. C++ programming. Lecture/Lab Hours: Three hours lecture, one hour lab. Grade Mode: A. MATH 105 Calculus I Limits, differentiation and integration of rational and trigonometric functions, with applications. Notes: Approved for Core Curriculum Math credit. Grade Mode: A. MATH 106 Calculus II 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. MATH 204 Introduction to Abstract Math 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. MATH 205 Calculus III Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space. Grade Mode: A. MATH 291 Linear Algebra Topics from matrices, determinants, linear transformations and vector spaces. Grade Mode: A. MATH 305 Introduction to Real Analysis I The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. When Offered: Alternate years. Grade Mode: A. MATH 315 Abstract Algebra I 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. MATH 370 Readings in Mathematics Reading of material in a special topic. Colloquium participation. Writing and oral presentation of a research paper. Notes: May be taken multiple times for credit. Grade Mode: A.

## Concentrations

### Actuarial Science

 BUSN 201 Principles of Macroeconomics Macroeconomics: supply and demand analysis, fiscal and monetary policy, money and banking, international trade and the balance of payments. Grade Mode: A. BUSN 202 Principles of Microeconomics An introduction to microeconomic analysis. Topics covered include consumer theory, the conduct of firms under competitive or monopolistic conditions, the causes and consequences of various market outcomes, and the role of government in regulating economic behavior. Grade Mode: A. BUSN 211 Principles of Accounting I Financial accounting concepts and techniques essential for all business majors and those seeking to learn the language of business; analyzing and recording transactions; preparation of financial statements; valuation and allocation procedures. Grade Mode: A. BUSN 212 Principles of Accounting II Financial accounting for corporations; analysis of financial statements; international accounting issues; introduction to managerial accounting; product costing and cost allocation procedures; budgetary control and responsibility accounting; analysis and techniques for planning and managerial decision making. Grade Mode: A. BUSN 370 Business Finance An examination and evaluation of financial decision making in the Corporate environment valuing future cash flows, characterizing risk and return and evaluating options available to firms to finance their operations or fund growth opportunities. Students will learn how to analyze financial data to provide information to management on how to improve the financial performance of their firm. Grade Mode: A. MATH 190 Business Statistics 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 regression. Core Curriculum: Approved for Core - Mathematics. MATH 331 Probability Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions. When Offered: Alternate years. Grade Mode: A. MATH 332 Statistics Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. When Offered: Alternate years. Grade Mode: A. MATH 333 Operations Research Mathematical foundations of model building, optimization, linear programming models, game theoretic models. Grade Mode: A. MATH 335 Ordinary Differential Equations First order differential equations, second order linear differential equations, power series solutions, Laplace transforms, systems of first order linear equations. When Offered: Spring. Grade Mode: A.

### Pure Mathematics

See course catalog for details.

### Applied Mathematics

 MATH 321 Numerical Analysis Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. When Offered: Alternate years. Grade Mode: A. MATH 331 Probability Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions. When Offered: Alternate years. Grade Mode: A. MATH 332 Statistics Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. When Offered: Alternate years. Grade Mode: A. MATH 333 Operations Research Mathematical foundations of model building, optimization, linear programming models, game theoretic models. Grade Mode: A. MATH 335 Ordinary Differential Equations First order differential equations, second order linear differential equations, power series solutions, Laplace transforms, systems of first order linear equations. When Offered: Spring. Grade Mode: A. MATH 440 Complex Variables Complex variables, analytic functions, complex integral theorems, power series, conformal mappings. When Offered: Alternate years. Grade Mode: A.

### Computer Science

 CSCI 106 Data Structures Linear lists, strings, arrays and orthogonal lists; graphs, trees, binary trees, multi-linked structures, searching and sorting techniques, dynamic storage allocation; applications. Grade Mode: A. CSCI 220 Computer Organization and Assembly Language Programming Fundamentals of digital logic and the architecture of modern computer systems, machine level representation of data, memory system organization, structure of machine languages, assembly language programming. Grade Mode: A. CSCI 400 Theory of Algorithms Various types of algorithms, analytic techniques for the determination of algorithmic efficiency, NP-complete problems, complexity hierarchies, and intractable problems. When Offered: Alternate years. Grade Mode: A. MATH 321 Numerical Analysis Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. When Offered: Alternate years. Grade Mode: A. MATH 331 Probability Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions. When Offered: Alternate years. Grade Mode: A. MATH 332 Statistics Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. When Offered: Alternate years. Grade Mode: A. MATH 333 Operations Research Mathematical foundations of model building, optimization, linear programming models, game theoretic models. Grade Mode: A.

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