# 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 and multiple regression, index numbers. Notes: Approved for Core Curriculum Math credit. 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. |

### 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. |

### Secondary Instruction

LEDU 301 | Introduction to Teaching |

This course examines the structure and function of the school, foundations of education, qualities required for teacher effectiveness, and contemporary issues in education. Successful completion of this course constitutes one of the requirements for admission to the Teacher Preparation Program. CBEST must be taken or basic skills requirement met during this course for acceptance to a credential program. Lecture/Lab Hours: A 25-hour fieldwork practicum component is required. Notes: Special approval required. Must submit Certificate of Clearance forms and valid negative TB test results. Credential candidates must pass this course with a grade of "B-" or higher. Grade Mode: A. | |

LEDU 330 | Psychological Foundations of Education |

Application of psychological principles to the education process, role of the teacher and learner, human growth and development, learning styles, motivation, memory, transfer of learning, measurement and evaluation, research and experimentation in learning theory. Notes: Special approval required. Restricted to formal application and acceptance to the School of Education. Credential candidates must pass this course with a "B-" or higher. This course is designed to fulfill the University's writing competency requirement for credential students. Grade Mode: A. | |

LEDU 341 | Methods of Teaching Linguistically Diverse Students |

Survey of the theories, programs, and instructional practices for English language development, including first and second language acquisition and individual factors affecting language acquisition. Strategies for the application of theory to classroom practice and instruction in content area literacy are emphasized. Principles of educational equity, diversity, and cultural and linguistic responsiveness are examined. Lecture/Lab Hours: A 10-hour fieldwork practicum component is required. Notes: Credential candidates must pass this course with a "B-" or higher. Valid Certificate of Clearance and negative TB test results required for fieldwork. CalTPA #1. Grade Mode: A. | |

LEDU 425 | Secondary Content Area Reading |

Methods and materials for teaching reading through content areas in secondary schools; attention to reading techniques, testing, and individualization. Lecture/Lab Hours: A 35-hour fieldwork practicum component is required. Notes: Credential candidates must pass this course with a grade of "B-" or higher. Valid Certificate of Clearance and negative TB test results required for fieldwork. CalTPA #2. Grade Mode: A. | |

LEDU 433 | Single Subject Pedagogy |

During interrelated activities in program coursework and fieldwork, Single Subject candidates relate the Common Core and the state-adopted K–12 academic content standards for candidates in their specific subject area to major concepts and principles in their discipline, including planning, organizing, and implementing effective instruction (Grades 7–12). Grade Mode: A. | |

LEDU 437 | Secondary Curriculum Fieldwork |

A 60-hour fieldwork course to support Single Subject Credential candidates in application of teaching pedagogy. Candidates will design and teach a minimum of three lessons in local secondary schools. Notes: Credential candidates must pass this course with a grade of "B-" or higher. Valid Certificate of Clearance and negative TB test results required for fieldwork. Grade Mode: A. | |

LEDU 438 | Secondary Curriculum, Differentiation, and Assessment |

The course emphasis is curriculum and instruction through the planning and teaching of a variety of developmentally and ability-appropriate instructional strategies for all learners, including Universal Design of Learning and Multi-Tiered System of Supports (MTTS), differentiation, and assessment. Candidates will complete 60-hours of fieldwork. Candidates will design and teach several classroom lessons in local secondary schools. | |

MATH 318 | Biostatistics |

Prepares the student for biostatistical application essential to practice in evidence-based professions. Content includes: descriptive statistics; probability theory and rules; discrete and continuous probability distributions; sampling distributions; confidence intervals; hypothesis testing; experimental design; ANOVA; linear and multiple regression; contingency table analysis; non-parametrics; survival analysis; discussion of the use of statistics in journal articles. Notes: Approved for Core Curriculum Math credit. Credit given for only one of 210 and 318. Grade Mode: A. | |

MATH 331 | Probability |

MATH 332 | Statistics |

MATH 341 | Classical Geometry |

Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fermat center. Compass constructions. Solid geometry. Spherical geometry of arcs. Coordinate geometry. When Offered: Alternate years. Grade Mode: A. | |

MATH 415 | Number Theory and the History of Mathematics |

The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity and the distribution of prime numbers. When Offered: Fall, odd years. Grade Mode: A. |