Courses | Mathematics, B.S.

Summary

Below are some of the courses you’ll have an opportunity to take as a student in this program. 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. For official program requirements see catalog for details.

Major Courses

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.
Restrictions: Must be Undergraduate Level.

Limits, differentiation and integration of rational and trigonometric functions, with applications. Notes: Approved for Core Curriculum Math credit.
Prerequisites: Four years of high school mathematics.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Differentiation and integration of logarithmic, exponential and inverse trigonometric functions; various methods of integration; infinite sequences and series; parametric equations, polar coordinates.
Prerequisites: MATH 105.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Prerequisites: MATH 105.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space.
Prerequisites: MATH 106.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Topics from matrices, determinants, linear transformations and vector spaces.
Prerequisites: MATH 106.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals.
Prerequisites: MATH 204 and MATH 205. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Introduction to abstract algebra with topics from elementary ring, field and group theories. Emphasis on ring of integers, congruences, polynomial domains, permutation groups.
Prerequisites: MATH 204 and MATH 291. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Restrictions: Must be Mathematics (MATH) or Mathematical Science (MASC); and Undergraduate Level.


Concentrations

Actuarial Science

Macroeconomics: supply and demand analysis, fiscal and monetary policy, money and banking, international trade and the balance of payments.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Restrictions: Must be Undergraduate Level.

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.
Restrictions: Must be Undergraduate Level.
Fees: $10.

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.
Prerequisites: BUSN 211.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.
Fees: $10.

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. Notes: Business Administration minors should see Crowell School of Business to add the course.
Prerequisites: BUSN 190 or MATH 190, and BUSN 212. Acceptance into the Crowell School of Business.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Restrictions: Must be Undergraduate Level.

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions.
Prerequisites: MATH 204 and MATH 205. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Prerequisites: MATH 331. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Mathematical foundations of model building, optimization, linear programming models, game theoretic models.
Prerequisites: MATH 105, CSCI 105.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

First order differential equations, second order linear differential equations, power series solutions, Laplace transforms, systems of first order linear equations.
Prerequisites: MATH 205. When Offered: Spring.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Pure Mathematics

See course catalog for details.

Applied Mathematics

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.
Prerequisites: MATH 291, CSCI 105. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions.
Prerequisites: MATH 204 and MATH 205. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Prerequisites: MATH 331. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Mathematical foundations of model building, optimization, linear programming models, game theoretic models.
Prerequisites: MATH 105, CSCI 105.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

First order differential equations, second order linear differential equations, power series solutions, Laplace transforms, systems of first order linear equations.
Prerequisites: MATH 205. When Offered: Spring.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Complex variables, analytic functions, complex integral theorems, power series, conformal mappings.
Prerequisites: MATH 205. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Computer Science

Linear lists, strings, arrays and orthogonal lists; graphs, trees, binary trees, multi-linked structures, searching and sorting techniques, dynamic storage allocation; applications.
Prerequisites: CSCI 105.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Prerequisites: CSCI 105.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Various types of algorithms, analytic techniques for the determination of algorithmic efficiency, NP-complete problems, complexity hierarchies, and intractable problems.
Prerequisites: CSCI 106; MATH 112 or MATH 204. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Prerequisites: MATH 291, CSCI 105. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions.
Prerequisites: MATH 204 and MATH 205. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Prerequisites: MATH 331. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Mathematical foundations of model building, optimization, linear programming models, game theoretic models.
Prerequisites: MATH 105, CSCI 105.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

Secondary Instruction

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. Approximately $130 for livescan and application fees will be required. 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.
Restrictions: Must not be Freshman Class; and must be Undergraduate Level.
Fees: Paid Taskstream subscription required.

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.
Prerequisites: PSYC 200; LEDU 301 or MUSC 205.
Paid Taskstream subscription required.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.
Fees: $50.

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. Prerequisites: LEDU 330.
Paid Taskstream subscription required. 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.
Restrictions: Must be Undergraduate Level.
Fees: $100.

Methods and materials for teaching reading through content areas in secondary schools; attention to reading techniques, testing, and individualization. Prerequisites: LEDU 341.
Paid Taskstream subscription required. 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.
Restrictions: Must be Undergraduate Level.
Fees: $100.

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).
Single Subject Pedagogy - Art: During interrelated activities in program coursework and fieldwork, Single Subject Art candidates learn, understand and use content-specific teaching strategies for achieving the fundamental goals of the state-adopted K–12 academic content standards for students in Art (Grades 7–12).
Single Subject Pedagogy - English: During interrelated activities in program coursework and fieldwork, Single Subject English candidates learn, understand and use content-specific teaching strategies for achieving the fundamental goals of the state-adopted K–12 academic content standards for students in English (Grades 7–12).
Single Subject Pedagogy - Methods of Teaching Spanish as a Foreign Language: During interrelated activities in program coursework and fieldwork, Single Subject Modern Language candidates learn, understand, and use specific teaching strategies and activities for achieving the fundamental goals of the state-adopted K–12 Foreign Language Framework and Student Academic Content Standards for students learning Spanish (Grades 7–12).
Single Subject Pedagogy - Health Science: During interrelated activities in program coursework and fieldwork, Single Subject Health Science candidates learn, understand and use content-specific teaching strategies for achieving the fundamental goals of the state-adopted K–12 academic content standards for students in Health Science (Grades 7–12).
Single Subject Pedagogy - History/Social Science: During interrelated activities in program coursework and fieldwork, Single Subject History/Social Science candidates learn, understand and use content-specific teaching strategies for achieving the fundamental goals of the K–12 state-adopted academic content standards for History/Social Science (Grades 7–12).
Single Subject Pedagogy - Mathematics: During interrelated activities in program coursework and fieldwork, Single Subject Mathematics candidates acquire a deep understanding of the interrelated components of a balanced program of mathematics instruction: computational and procedural skills; conceptual understanding of mathematics; and problem solving skills in mathematics, and acquire pedagogical skills that assist students in learning K–12 state-adopted academic content standards for Mathematics (Grades 7–12).
Single Subject Pedagogy - Physical Education: During interrelated activities in program coursework and fieldwork, Single Subject Physical Education candidates learn, understand and use content-specific teaching strategies for helping students in learning K–12 state-adopted academic content standards for Physical Education (Grades 7–12).
Single Subject Pedagogy - Science: During interrelated activities in program coursework and fieldwork, Single Subject Science candidates relate the state-adopted K–12 academic content standards for students in Science (Grades 7–12) to major concepts, principles and investigations in the science disciplines, including planning, organizing, and implementing effective instruction.
  Notes: Credential candidates must pass this course with a grade of "B-" or higher.
Prerequisites: LEDU 425.
Grade Mode: A.
Corequisites: LEDU 436, LEDU 437.
Restrictions: Must be Undergraduate Level.
Fees: Paid Taskstream subscription required.

Secondary school curriculum, assessment, classroom management and teaching methods as they apply to the content areas in secondary school settings. 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 #3.
Prerequisites: LEDU 425.
Paid Taskstream subscription required.
Grade Mode: A.
Corequisites: LEDU 433, LEDU 437.
Restrictions: Must be Undergraduate Level.
Fees: $100.

A 60-hour fieldwork requirement to support the practical application of LEDU 436 Secondary Curriculum content. Candidates will design and teach several classroom 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.
Prerequisites: LEDU 425.
Grade Mode: A.
Corequisites: LEDU 433, LEDU 436.
Restrictions: Must be Undergraduate Level.
Fees: Paid Taskstream subscription required.

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.
Restrictions: Must be Undergraduate Level.

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions.
Prerequisites: MATH 204 and MATH 205. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Prerequisites: MATH 331. When Offered: Alternate years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.

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.
Restrictions: Must be Undergraduate Level.

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.
Prerequisites: MATH 204. When Offered: Fall, odd years.
Grade Mode: A.
Restrictions: Must be Undergraduate Level.