Learning Outcomes

Upon successful completion of the major, students will be able to:

• Write well on exams, short paper, long papers and laboratory reports.
• Make poster presentations and oral reports of varying lengths, either alone or as part of a team.
• Exhibit critical thinking when reading texts, lecture supplements, and other materials.
• Prepare a literature review and a bibliography on a topic in mathematics.
• Obtain relevant information from primary sources in a library or online.
• Demonstrate knowledge about the history and broad core of mathematics.
• Recognize and use connections of mathematics to computing and science.
• Use ethical scientific methods in obtaining and evaluating data.
• Demonstrate proper methods in the design of algorithms and in the conduct of research.
• Use Maple, a software package for solving mathematical problems.
• Appreciate the value of proofs, logic, and applications in mathematics.
• Understand mathematical notation.
• Demonstrate skill with numerical, algebraic and calculus problem-solving, and in thinking spatially.

Learning Outcomes Matrix [PDF]

» Click here to view more detailed learning outcomes listings for each course.

Chatham University Mathematics

Buhl Hall • Woodland Road • Pittsburgh, PA 15232

Curriculum

+Major Requirements (BA)

43 credits, including:

IND350	Scientific Research Methods This course serves as an introduction to research literature and research methodology in the sciences. Students prepare a research proposal including literature review, experimental design and methods, budget, timetable, and bibliography. Other topics include professional presentation techniques and research ethics. The student's major department must approve proposals prior to the Tutorial.	2
INTMTH303	Internship - Mathematics Internship - Mathematics	3
MTH110	Elementary Statistics Topics include statistical measures and distributions, decision making under uncertainty, application of probability to statistical inference, linear correlation, introduction to nonparametric statistical methods, and application to problems drawn from the natural and social sciences. Three hours of class per week. Three hours of class per week.	3
MTH151	Calculus I This is the first course in the calculus sequence. Topics include differential and integral calculus for algebraic and trigonometric functions with applications. Four hours of class per week.	4
MTH152	Calculus II This is the second course in the calculus sequence. Topics include differential and integral calculus for the transcendental functions, advanced methods of integration, and infinite sequences and series.	4
MTH215W	Introduction to Proof This course introduces students to the process of reading, understanding and writing rigorous mathematical arguments. Additionally, students will become familiar with computer software used for analyzing math problems and typesetting mathematical documents. This course is a pre-requisite for many upper-level math courses and is intended to help students transition from problem-solving oriented classes such as Calculus into courses focused on understanding and writing proofs. Topics include: basic logic, introductory set theory, functions and relations, and quantifiers.	4
MTH221	Linear Algebra Topics include finite dimensional vector spaces, geometry of R, linear functions, systems of linear equations, and theory of matrices and determinants.	3
MTH222	Multivariate and Vector Calculus An introduction to multivariate calculus using vector spaces, partial differentiation and multiple integration, calculus of vector functions, applications to extremum problems, and differential equations. Three hours of class per week.	3
MTH327	Advanced Analysis Foundations for abstract analysis, real and complex number systems, elements of point set topology and limits, continuity, and derivatives.	3
OR
MTH341	Abstract Algebra Introduction to elements of modern abstract algebra, including rings, groups, and fields.	3
MTH490	Integrative Capstone The integrative capstone, undertaken by the student during the senior year, is an extended project that helps the student complete their transition from an undergraduate student to a world-ready professional.  The study usually centers on the student’s major and may be conducted, at least in part, in the context of a group experience.  Such programs are crafted to meet the unique needs of each major, and could include, for example, fieldwork, theater production, creative work in the arts, independent research, or independent readings. The integrative capstone in an interdisciplinary major must have the approval of both academic programs.	3
9 additional 200-level or above physics or mathematics credits approved in advance.

+Major Requirements (BS)

56 credits, including

CMP202	Introduction to Programming An introduction to programming using C++ for students with no previous computer programming experience. Includes introduction to algorithms and object-oriented programming techniques.	3
IND350	Scientific Research Methods This course serves as an introduction to research literature and research methodology in the sciences. Students prepare a research proposal including literature review, experimental design and methods, budget, timetable, and bibliography. Other topics include professional presentation techniques and research ethics. The student's major department must approve proposals prior to the Tutorial.	2
INTMTH303	Internship - Mathematics Internship - Mathematics	3
MTH110	Elementary Statistics Topics include statistical measures and distributions, decision making under uncertainty, application of probability to statistical inference, linear correlation, introduction to nonparametric statistical methods, and application to problems drawn from the natural and social sciences. Three hours of class per week. Three hours of class per week.	3
MTH151	Calculus I This is the first course in the calculus sequence. Topics include differential and integral calculus for algebraic and trigonometric functions with applications. Four hours of class per week.	4
MTH152	Calculus II This is the second course in the calculus sequence. Topics include differential and integral calculus for the transcendental functions, advanced methods of integration, and infinite sequences and series.	4
MTH215W	Introduction to Proof This course introduces students to the process of reading, understanding and writing rigorous mathematical arguments. Additionally, students will become familiar with computer software used for analyzing math problems and typesetting mathematical documents. This course is a pre-requisite for many upper-level math courses and is intended to help students transition from problem-solving oriented classes such as Calculus into courses focused on understanding and writing proofs. Topics include: basic logic, introductory set theory, functions and relations, and quantifiers.	4
MTH221	Linear Algebra Topics include finite dimensional vector spaces, geometry of R, linear functions, systems of linear equations, and theory of matrices and determinants.	3
MTH222	Multivariate and Vector Calculus An introduction to multivariate calculus using vector spaces, partial differentiation and multiple integration, calculus of vector functions, applications to extremum problems, and differential equations. Three hours of class per week.	3
MTH241	Differential Equations Introduction to differential equations. Topics include first-order and linear equations, systems of equations, series solutions, and Laplace transform methods with computer-aided study of numerical solutions, and introduction to partial differential equations, and Fourier series. Three hours of class per week.	3
MTH327	Advanced Analysis Foundations for abstract analysis, real and complex number systems, elements of point set topology and limits, continuity, and derivatives.	3
MTH341	Abstract Algebra Introduction to elements of modern abstract algebra, including rings, groups, and fields.	3
MTH490	Integrative Capstone The integrative capstone, undertaken by the student during the senior year, is an extended project that helps the student complete their transition from an undergraduate student to a world-ready professional.  The study usually centers on the student’s major and may be conducted, at least in part, in the context of a group experience.  Such programs are crafted to meet the unique needs of each major, and could include, for example, fieldwork, theater production, creative work in the arts, independent research, or independent readings. The integrative capstone in an interdisciplinary major must have the approval of both academic programs.	3
PHY251	Principles of Physics I Introduction to the concepts, laws, and structure of physics. This is the first course in a calculus-based sequence that focuses on classical mechanics. Topics include vector analysis, kinematics, Newton's laws, work, conservation of energy and momentum, collisions, gravity, harmonic motion, and wave phenomena.	4
PHY252	Principles of Physics II Introduction to the concepts, laws, and structure of physics. The second course in a calculus-based physics sequence. Topics include thermodynamics, fluids, electricity, circuit analysis, magnetism, Maxwell’s equations, properties of light, and optics. Four hours of class per week.	4
1 additional 200-level or above mathematics courses approved in advance

+Minor Requirements

6 courses, including:

MTH151	Calculus I This is the first course in the calculus sequence. Topics include differential and integral calculus for algebraic and trigonometric functions with applications. Four hours of class per week.	4
MTH152	Calculus II This is the second course in the calculus sequence. Topics include differential and integral calculus for the transcendental functions, advanced methods of integration, and infinite sequences and series.	4
MTH221	Linear Algebra Topics include finite dimensional vector spaces, geometry of R, linear functions, systems of linear equations, and theory of matrices and determinants.	3
MTH222	Multivariate and Vector Calculus An introduction to multivariate calculus using vector spaces, partial differentiation and multiple integration, calculus of vector functions, applications to extremum problems, and differential equations. Three hours of class per week.	3
1 200-level or above course in mathematics approved in advance.
1 200-level or above course in computing, mathematics, or physics that has not been counted already toward a major or minor.

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