Bachelor of Science
in Mathematics

Prerequisite: MTH 12A and MTH 12B, or Accuplacer test placement evaluation

An introduction to statistics and probability theory. Covers simple probability distributions, conditional probability (Bayes Rule), independence, expected value, binomial distributions, the Central Limit Theorem, hypothesis testing. Assignments may utilize the MiniTab software, or text-accompanying course-ware. Calculator with statistical functions is required.

Prerequisite: MTH 12A and MTH 12B, or Accuplacer test placement evaluation

Examines higher degree polynomials, rational, exponential and logarithmic functions, Trigonometry and matrix Algebra. Completion of this course prepares a student to take Calculus and other upper level Math courses. This course is specifically for mathematics, computer science, and engineering majors.

Conceptual foundation for the field of Data Science, with emphasis on ethically using Data Science skills and tools in a variety of fields.

Prerequisite: ANA 200

Develop skills to acquire and visualize data to clearly communicate Data Science insights to a variety of project stakeholders.

Prerequisite: MTH 215, or MTH 216A and MTH 216B, or Accuplacer test placement

(Cross listed and equivalent to CSC208) An introduction to limits and continuity. Examines differentiation and integration concepts with applications to related rates, curve sketching, engineering optimization problems and business applications. Students may not receive credit for both MTH220 and CSC208.

Prerequisite: MTH 220

A discussion of differentiation and integration concepts of the natural logarithm, exponential and inverse trigonometric functions and applications to volumes of revolution, work and arc length. Covers improper integrals and highlights ideas and contributions of Natpier, Huygens and Pascal. Graphing calculator is required.

Prerequisite: MTH 215, or MTH 216A and MTH 216B, or Accuplacer test placement

A survey of main concepts of Euclidean geometry with the emphasis on the axiomatic approach, constructions, logic of proof, and some ideas from non-Euclidean geometry including historical aspects. A study of axioms of Euclidean Geometry, inference rule, some basic theorems of Euclidean Geometry, and rigorous proofs will be offered.

Prerequisite: MTH 215, or MTH 216A and MTH 216B

(Cross listed and equivalent to CSC331) This course studies combinatory and graph theory as the theoretical foundation for today’s advanced technology. It analyzes algorithms, logic, circuits, number bases, and proofs. Ample applications (graphs, counting problems, Turing Machines, codes) examine the ideas of Euler, Boole, Floyd, Warshall, Dijkstra, Church and Turing, Shannon, Bernoulli. Graphing calculator is required. Students may not receive credit for both MTH325 and CSC331.

Prerequisite: MTH 220 and MTH 325

An examination of systems of linear equations and matrices, elementary vector-space concepts and geometric interpretations. Discusses finite dimensional vector spaces, linear functions and their matrix representations, determinants, similarity of matrices, inner product, rank, eigenvalues and eigenvectors, canonical form and Gram-Schmidt process. Computer software will demonstrate computational techniques with larger matrices. Graphing calculator or appropriate software may be required.

Prerequisite: MTH 210

This course is a continuation of the Introductory Statistics MTH 210 course. It includes the study and application of descriptive statistics, data displays, measures of central tendency and variability, random variables, sampling distributions, estimation, hypothesis tests, linear regression, and correlation.

Prerequisite: MTH 215, or MTH 216A and MTH 216B, or MTH 301

Examines currents in the development of mathematics and throughout ancient Egypt, Babylon, China, and the Middle East. It studies math’s influence on society through the major events of Europe, contemporary developments, and some projections into the future, including the women and men who played key roles in evolution of mathematics.

Prerequisite: ANA 200 and ANA 230

Students will apply Data Acquisition techniques for different kinds of data, including structured and unstructured data collected from a variety of sources

Prerequisite: ANA 310

Application of the Data Management and Governance Process for Analytics including: Data Structure, Privacy, Security, and working with Customer-Centered Databases. Evaluation of how these data relate and aggregates in databases, data marts, data warehouses, and data lakes and how they are used by analytical decision tools will be explored through case studies and projects.

Prerequisite: ANA 320 and MTH 330

Develop skills to clean, transform, and prepare raw data for exploratory statistical Analysis. Transform and merge multiple data sources into a single useable data set for analysis. The progression will then focus on standardizing variable formats, investigating outliers, analyzing missing data, and in general conduct a thorough exploration of the dataset. This process will highlight the limitations, strengths, and potential biases of the dataset and how to reduce these biases.

Prerequisite: MTH 215, or MTH 216A and MTH 216B, or MTH 301

Computer Technology in the Mathematics Classroom An overview of the computer-based technology in the mathematics classroom. Evaluates graphing calculators, and computer software such as Maple, Scientific Workplace, Geometer’s Sketchpad, MiniTab, SPSS, and others to determine their value in illuminating concepts in the curriculum.

Prerequisite: MTH 416 and MTH 417

The aim in the course is not to impart any specific body of knowledge, but rather to foster the students’ understanding that mathematics is a science of identifying, solving problems and generalizing. The course includes the description of main approaches to solving standard and challenge math problems.

Prerequisite: MTH 311 and MTH 412 and MTH 210 and MTH 460

A critical inquiry into present-day tendencies in teaching mathematics in order to help prospective mathematics teachers to acquire their professional skills in the teaching of mathematics in secondary school. The teaching strategies that align to the new CA CommonCore Standards receive a special consideration. Fundamental concepts of mathematics and effective approaches to their teaching will be discussed.