# A First Course In Numerical Methods Solution 125 WORK

STMATH 207 Introduction to Differential Equations (5) NScIntroduces ordinary differential equations. Includes first-and second-order equations and Laplace transform. Prerequisite: a minimum grade of 2.0 in either STMATH 125 or MATH 125.View course details in MyPlan: STMATH 207

## a first course in numerical methods solution 125

STMATH 300 Foundations of Modern Math (5) RSNIntroduces students to mathematical argument and to reading and writing proofs. Develops elementary set theory, examples of relations, functions and operations on functions, the principle of induction, counting techniques, elementary number theory, and combinatorics. Places strong emphasis on methods and practice of problem solving. Prerequisite: a minimum grade of 2.0 in either STMATH 125 or MATH 125; and a minimum grade of 2.0 in either B WRIT 133, B WRIT 134, or ENGL 131.View course details in MyPlan: STMATH 300

STMATH 381 Discrete Mathematical Modeling (5)Introduction to methods of discrete mathematics, including topics from graph theory, network flows, and combinatorics. Emphasis on these tools to formulate models and solve problems arising in variety of applications, such as computer science, biology, and management science. Prerequisite: a minimum grade of 2.0 in either STMATH 208 or MATH 208; and a minimum grade of 2.0 in either CSE 122, CSE 142, CSS 142, CSS 161, or AMATH 301.View course details in MyPlan: STMATH 381

STMATH 405 Numerical Analysis I (5)Methods and theory for numerically solving systems of equations, both linear and nonlinear. Topics include numerical error, stability and conditioning, root finding, direct and iterative methods for linear systems, linear least squares, eigenvalue problems, and nonlinear systems. Prerequisite: a minimum grade of 2.0 in either STMATH 208 or MATH 208; a minimum grade of 2.0 in either STMATH 126 or MATH 126; and a minimum grade of 2.0 in either CSS 132, CSS 142, CSE 122, CSE 142, CSS 161, or AMATH 301.View course details in MyPlan: STMATH 405

STMATH 406 Numerical Analysis II (5)Methods and theory for numerically approximating functions, their integrals and derivatives, and solutions to ODEs. Topics include polynomial and piecewise polynomial interpolation, the Fourier transform, numerical differentiation and integration, and approximate solution of ODEs using Euler and Runge-Kutta methods. Prerequisite: a minimum grade of 2.0 in STMATH 207; and a minimum grade of 2.0 in STMATH 405.View course details in MyPlan: STMATH 406

STMATH 408 Nonlinear Optimization (5) RSNMaximize and minimize nonlinear functions, constrained and unconstrained; nonlinear programming problems and methods. Topics include: Lagrange multipliers, Kuhn-Tucker conditions, convexity, quadratic programming, steepest-descent method, and Newton and quasi-Newton methods. Prerequisite: a minimum grade of 2.0 in either STMATH 224 or MATH 224; a minimum grade of 2.0 in STMATH 300; and a minimum grade of 2.0 in STMATH 405.View course details in MyPlan: STMATH 408

STMATH 465 Fostering Algebraic Reasoning (5) NSc, RSNFocuses on methods of teaching algebra from a developmental perspective, including research-based methods for developing students' algebraic thinking and structure and processes used in algebra. Prerequisite: minimum grade of 2.0 in STMATH 125 or MATH 125. Offered: jointly with B EDUC 465.View course details in MyPlan: STMATH 465

STMATH 466 Fostering Geometric Thinking (5) NSc, RSNFocuses on methods of teaching geometry from a developmental perspective, including research-based methods for developing students' geometric thinking and structure and processes used in geometry including proof. Prerequisite: minimum grade of 2.0 in STMATH 125 or Math 125. Offered: jointly with B EDUC 466.View course details in MyPlan: STMATH 466

STMATH 467 Fostering Statistical Thinking, Data, and Graphical Analysis (5) NSc, RSNFocuses on methods of teaching data and graphical analysis and statistical thinking from a developmental perspective, including how to foster secondary students' statistical thinking, and using technological tools to teach key concepts in secondary mathematics using big data sets, graphical analysis, and dynamic visualization. Prerequisite: minimum grade of 2.0 in STMATH 125 or Math 125. Offered: jointly with B EDUC 467.View course details in MyPlan: STMATH 467

MAT 099/Orientation to Mathematics and Statistics0 course units(seven weeks long, every semester)Required as an entry course of all entering first-year students enrolled in majors offered by the Department of Mathematics and Statistics. Topics covered include degree requirements, general information about the college and services offered, career opportunities in mathematics and statistics, academic standards and integrity, study habits and time management, and resume development. General and personal advisement relative to pursuit of the major and the degree is also included. Click here for syllabus (PDF).

STA 115/Statistics1 course unit(every semester)This course introduces the students to statistical ideas and concepts with an emphasis on the interpretation of data and the communication of statistical results. Topics include sampling, surveys, experimental designs, observational studies, data exploration, chance phenomena, and methods of statistical inference. Students who have already received credit for STA 215 cannot receive credit for this course. Click here for syllabus (PDF).

MAT 200/Proof Writing through Discrete Mathematics1 course unit(every semester)Prerequisite: MAT 127MAT 200 is primarily an introduction to proof course. It teaches proof using topics from discrete mathematics. It is intended to be first-year course for prospective mathematics majors. It will be scheduled for two 80-minute lecture periods and a 50-minute recitation devoted to proof-writing activities. MAT 127: Calculus A is a prerequisite. Click here for syllabus (PDF).

MTT 202/Teaching Mathematics in the Early Childhood and Elementary Classroom1 course unit(with field placement)(every semester)Prerequisite: MAT 105, MAT 106, or by permission of Math. Ed. coordinatorCorequisite: MST 202This course examines the early childhood and elementary mathematics curricula, how children learn mathematics, methods and strategies appropriate for teaching the many topics in mathematics. Students will be introduced to national and state standards for preK-5 mathematics, and learn how to teach according to these standards. Topics include the use of manipulatives and technology in teaching mathematics, learning theories, adaptations for diverse learners, and the investigation of standards-based curricula. A field experience is a critical component of this course. The student will observe and participate in the early childhood, elementary or middle school classroom of an exemplary mathematics teacher 3 hours per week. Click here for syllabus (PDF).

STA 216/Statistical Inference & Probability for Educators1 course unit(every fall)Prerequisite or corequisite: MAT 125 or MAT 127This course introduces future mathematics educators to statistical ideas and concepts with an emphasis on methods of statistical inference (notably confidence intervals and hypothesis tests) and probability (notably conditional probability, the binomial distribution, and concepts relating to independence and disjoint probabilities). Click here for syllabus (PDF).

MAT 317/Linear Programming1 course unit(occasionally)Prerequisites: MAT 127 or MAT 125, and MAT 205The course studies the optimization of linear functions with constraints. Its methods are widely used in mathematical modeling. The course provides an introduction to the algorithms, theoretical foundations, and applications of linear programming. Selected topics include: the simplex method for solving a linear program (LP), the geometry of LPs, variants of the simplex method, constructing mathematical models using LPs, duality theory, sensitivity analysis, integer programming, transportation and trans-shipment models, network models, program management models, and solving LPs using modern software packages. Click here for syllabus (PDF).

MAT 326/Differential Equations1 course unit(every semester)Prerequisite: MAT 128 and Corequisite: MAT 205 or PHY 306The subject of Differential Equations is the study of deterministic models of nature and historically it was developed principally for study of problems of physics. Now, however, differential equations have a much broader application to chemistry, biology and the social sciences. Differential Equations is one of the foundational topics in the modern- day study of dynamical systems. Students will draw upon their knowledge of calculus and linear algebra in formulating their solutions to many types of differential equations. Click here for syllabus (PDF)

MAT 330/BIO 330/Mathematical Biology1 course unit(Every other year, usually fall)Prerequisites: MAT 128 is a prerequisite, and MAT 205 is a corequisite. An interest in biology is recommended for MAT 330. MAT 128 and BIO 201 are prerequisites for BIO __330.In__ this course, we will focus on building and analyzing dynamic mathematical models (models that study how processes change in time) to understand the behavior of different biological systems. This course will focus on a variety of topics in population biology, physiology and the biomedical sciences such as single and competing species models, pharmacokinetic models of drugs and toxins, enzyme reaction kinetics, epidemiology, infectious diseases and cancer. We will use mathematical tools like difference equations, differential equations, linear algebra and nonlinear analysis to study these biological processes. Further, computer software packages, such as MATLAB, will be used to implement these mathematical models in search of answers to biological questions. When possible, numerical simulations of the models will be run in MATLAB to compare model outputs to experimental data. Click here for syllabus (PDF). 350c69d7ab