# 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.

## Concentrations

### 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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