Mathematics Curriculum
Mathematics includes an introduction to the principle branches of mathematics: calculus, algebra, probability, statistics, and analysis with emphasis on application of mathematics to the sciences and social sciences. The teacher certification program offers certification in secondary mathematics teaching. Students interested in this program should see the Certification Coordinator in the Education program for specific requirements.Program Requirements
+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. Prerequisite(s): Junior status and completion of at least two courses at the 200level or above in the major, or permission of the instructor.
2 INTMTH303 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 trigonometirc 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. Prerequisite(s): MTH 151
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 prerequisite for many upperlevel math courses and is intended to help students transition from problemsolving 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. Prerequisite(s): MTH 151 and MTH 152, or equivalent, or permission of instructor.
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. Three hours of class per week. Prerequisite(s): MTH 152
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. Prerequisite(s): MTH 152
3 MTH327 Advanced Analysis Foundations for abstract analysis, real and complex number systems, elements of point set topology and limits, continuity, and derivatives. Prerequisite(s): MTH 222 or equivalent.
3 OR MTH341 Abstract Algebra Introduction to elements of modern abstract algebra, including rings, groups, and fields. Prerequisite(s): MTH 221 or equivalent.
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 worldready 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, theatre 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 200level or above physics or mathematics credits approved in advance. +Major Requirements (BS)

56 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. Prerequisite(s): Junior status and completion of at least two courses at the 200level or above in the major, or permission of the instructor.
2 INTMTH303 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 trigonometirc 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. Prerequisite(s): MTH 151
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 prerequisite for many upperlevel math courses and is intended to help students transition from problemsolving 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. Prerequisite(s): MTH 151 and MTH 152, or equivalent, or permission of instructor.
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. Three hours of class per week. Prerequisite(s): MTH 152
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. Prerequisite(s): MTH 152
3 MTH327 Advanced Analysis Foundations for abstract analysis, real and complex number systems, elements of point set topology and limits, continuity, and derivatives. Prerequisite(s): MTH 222 or equivalent.
3 OR MTH341 Abstract Algebra Introduction to elements of modern abstract algebra, including rings, groups, and fields. Prerequisite(s): MTH 221 or equivalent.
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 worldready 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, theatre 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 200level or above physics or mathematics credits approved in advance. +Minor Requirements

6 courses, 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. Prerequisite(s): Junior status and completion of at least two courses at the 200level or above in the major, or permission of the instructor.
2 INTMTH303 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 trigonometirc 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. Prerequisite(s): MTH 151
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 prerequisite for many upperlevel math courses and is intended to help students transition from problemsolving 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. Prerequisite(s): MTH 151 and MTH 152, or equivalent, or permission of instructor.
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. Three hours of class per week. Prerequisite(s): MTH 152
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. Prerequisite(s): MTH 152
3 MTH327 Advanced Analysis Foundations for abstract analysis, real and complex number systems, elements of point set topology and limits, continuity, and derivatives. Prerequisite(s): MTH 222 or equivalent.
3 OR MTH341 Abstract Algebra Introduction to elements of modern abstract algebra, including rings, groups, and fields. Prerequisite(s): MTH 221 or equivalent.
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 worldready 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, theatre 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 200level or above physics or mathematics credits approved in advance.