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# 2017-2018 Academic Catalog: Department of Applied Mathematics

Amanda Hattaway, Chair, Ira Allen Building, Room 319

617-989-4368

### Department Vision and Mission Statement

Mathematics courses comprise part of the core of each Wentworth student's college program. Our departmental offerings are designed to help facilitate student success across all programs at the Institute.

The B.S. in Applied Mathematics program links mathematics and the worlds of science, technology, engineering, and social science. Students learn to integrate analytical and computational tools in the modeling of physical, biological, and/or economic processes. The problem-solving skills that the Applied Math major develops will apply across disciplines.

*Challenge Exams in Mathematics*

##### External Transfer Challenge Exams

Transfer students who have completed a three-credit transferable mathematics course in College Mathematics, Precalculus, Engineering Calculus I or Engineering Calculus II are eligible for the transfer challenge exam. Upon successful completion of the Mathematics Challenge Exam, one (1) credit is applied to the three (3) credits of a specified transferable mathematics course, and will complete either a pre-requisite or a Wentworth mathematics requirement.

To qualify, transfer students must meet the following criteria: have a transferable three (3) credit mathematics course from the list of available mathematics topics found on the list below, not be enrolled in a Wentworth equivalent course or completed an advanced level mathematics course of the same focus.

*Note: Students who do not successfully complete the mathematics transfer challenge exam will not have satisfied the pre-requisite or mathematics requirement. *

Available external transfer challenge exams in mathematics:

- MATH1000: College Mathematics
- MATH1500: Precalculus
- MATH1750: Engineering Calculus I
- MATH1850: Engineering Calculus II
- MATH2025: Multivariable Calculus
- MATH2500: Differential Equations
- MATH2850: Linear and Vector Algebra

*There are no fees associated with the Mathematics Transfer Challenge Exam.*

*Wentworth Course Challenge Exams*

New students who believe they have sufficient knowledge in College Mathematics or Precalculus are given the opportunity to take a mathematics challenge exam. Upon successful completion, the requirement for either MATH1000 College Mathematics or MATH1500 Precalculus will be met.

This challenge exam in mathematics is not repeatable; students who do not earn academic credit will be required to complete the course in the traditional classroom setting.

Available Wentworth course challenge exams in mathematics:

- MATH1000: College Mathematics
- MATH1500: Precalculus

*There are no fees associated with the Mathematics Challenge Exam for new students.*

### Degree Program

*Applied Mathematics (BSAM)*

Leading to the Bachelor of Science Degree

Leading to the Bachelor of Science Degree

Wentworth Institute of Technology offers a three-year B.S. in Applied Mathematics, in which Applied Math majors take six semesters of classes and complete two marketable applied math internships. Graduates, in addition to continuing their education at the graduate level, may seek employment in a variety of fields including government, finance, risk-management and actuarial science, predictive modeling, research, operations, software engineering, statistics, biomedicine, and informatics.

While the degree is designed as a three-year program, students may opt to complete the degree in four years. Please contact the Applied Mathematics department for more information.

##### Applied Mathematics Program Objectives

Program graduates will be able to:

- Apply mathematical concepts to perform computations, model phenomena, and write proofs.
- Effectively use mathematical software packages for computation, modeling, and presentations.
- Write code in a high-level computer programming language.
- Deliver clear and precise, written and oral presentations, demonstrating: (1) comprehension of mathematical content and (2) the ability to communicate that mathematical content to different audiences.
- Apply mathematics in a professional setting.

Degree Details**Total Required Credits: 120**

A total of 20 semester credit hours of technical electives must be taken as a part of the program. Students may choose, after consultation with their faculty advisor, among the electives offered each semester. Technical elective courses include biological, financial, and physical science applications through courses offered by the Applied Mathematics Department (including Actuarial Mathematics, Introduction to Abstract Algebra, Calculus IV, Machine Learning, Dynamical Systems and Chaos, Complex Variables, Real Analysis I, Real Analysis II, Topology, Math Methods in Science/Engineering, and Special Topics courses, as well as courses offered by other departments (with approval from the Applied Math Department Chair, and/or the student’s advisor). Examples include MGMT 2750 Integrative Financial Accounting, COMP3673 Introduction to Biostatistics with Applications, and COMP3370 Algorithm Design and Analysis.

Please note that one of the five technical electives must be either Real Analysis I, Complex Variables, or Introduction to Abstract Algebra.

##### Applied Mathematics (BSAM)

**First Year, Fall Semester (total credits 20)**

- MATH1550, Foundations of Applied Mathematics
- MATH1750, Engineering Calculus I
- PHYS1250, Engineering Physics I
- COMP1000, Computer Science I
- ENGLISH, English Sequence, See ENGL/HSS note below *

**First Year, Spring Semester (total credits 20)**

- MATH1850, Engineering Calculus II
- MATH2300, Discrete Mathematics
- COMP1050, Computer Science II
- PHYS1750, Engineering Physics II
- ENGLISH, English Sequence, See ENGL/HSS note below *

**First Year, Summer Semester**

- COOP3000, Pre-Cooperative Work Term (Optional)

**Second Year, Fall Semester (total credits 20)**

- MATH2100, Probability and Statistics for Engineers
- MATH2025, Multivariable Calculus
- MATH2550, Transition to Advanced Mathematics
- MATH3900, Numerical Analysis I
- HSS ELECTIVE, See ENGL/HSS note below *

**Second Year, Spring Semester (total credits 20)**

- MATH2200, Advanced Statistics
- MATH2500, Differential Equations
- MATH2860, Linear Algebra & Matrix Theory
- MATH3950, Numerical Analysis II
- HSS ELECTIVE, See ENGL/HSS note below *

**Second Year, Summer Semester**

- COOP3500, Co-op Work Semester I

**Third Year, Fall Semester (total credits 20)**

- MATH4900, Partial Differential Equations
- MATH3700, Operations Research
- TECHNICAL ELECTIVE
- TECHNICAL ELECTIVE
- HSS ELECTIVE, See ENGL/HSS note below *

**Third Year, Spring Semester**

- COOP4500, Co-op Work Semester II

**Third Year, Summer Semester (total credits 20)**

- MATH5000, Applied Mathematics Final Year Design
- TECHNICAL ELECTIVE
- TECHNICAL ELECTIVE
- HSS ELECTIVE, See ENGL/HSS note below *
- HSS ELECTIVE, See ENGL/HSS note below *

**ENGL/HSS Note:**

Day program students are required to complete:

- At least one course in Humanities
- At least one course in the Social Sciences
- The remaining courses may be from either the Humanities or Social Sciences category

Students with a three English course sequence may use the third English course to satisfy a Humanities requirement.

In addition to the above coursework requirements (see above curriculum outline), students are required to complete the following non-coursework degree requirements:

- One public lecture
- A website
- A poster presentation

### Applied Mathematics Minor

The minor in Applied Mathematics provides a focus for students who are interested in the subject and want to integrate an aspect of applied mathematics with their major.

To earn the minor, the student must complete three core courses and two elective courses, all with a grade of "C" or higher.

3 required Courses

- MATH2100, Probability and Statistics for Engineers
- MATH2750, Differential Equations and Systems Modeling OR MATH2500, Differential Equations
- MATH2860, Linear Algebra and Matrix Theory OR MATH2870, Advanced Linear Algebra

Choose 2 electives when offered:

- MATH3500, Calculus IV
- MATH3700, Operations Research
- MATH3900, Numerical Analysis I
- MATH4150, Math Methods in Science/Engineering
- MATH4400, Introduction to Abstract Algebra
- MATH4475, Actuarial Math
- MATH4575, Complex Variables
- MATH4675, Topology
- MATH4875, Real Analysis I
- MATH4975, Real Analysis II
- MATH2200, Advanced Statistics
- MATH2300, Discrete Mathematics
- MATH4900, Partial Differential Equations
- MATH4950, Dynamical Systems and Chaos
- MATH4050, Machine Learning

Plus, designated MATH3800, Special Topics, when offered as minor elective

Total Minor Credits: 20

Please note that the above minor elective list is not inclusive. Additional options will be added as new courses are developed in the Applied Mathematics minor.