Academic Programs Catalog

Requirements for the Bachelor of Science Degree in Actuarial Science

1. The University requirements for bachelor’s degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Actuarial Science.
   
   The University’s Tier II writing requirement for the Actuarial Science major is met by completing Mathematics 309 or 496.  Those courses are referenced in item 3. below.
   
   Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
2. The requirements of the College of Natural Science for the Bachelor of Science degree.
   
   The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
3. The following requirements for the major:

Requirements for the Bachelor of Science Degree in Computational and Applied Mathematics

1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Computational and Applied Mathematics.
   
   The University's Tier II writing requirement for the Computational and Applied Mathematics major is met by completing Mathematics 309 or 310 and 496.  Those courses are referenced in item 3. c. (1) below.
   
   Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
2. The requirements of the College of Natural Science for the Bachelor of Science degree.
   
   The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
3. The following requirements for the major:

   a.	The following courses outside the Department of Mathematics (a minimum of 28 credits):
   	(1)	One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or integrative biology.
   	(2)	One course from each of the following groups (8 or 10 credits):
   		(a)	CEM	141	General Chemistry				4
   			CEM	151	General and Descriptive Chemistry				4
   			CEM	181H	Honors Chemistry I				4
   			LB	171	Principles of Chemistry I				4
   		(b)	CEM	142	General and Inorganic Chemistry				3
   			CEM	152	Principles of Chemistry				3
   			CEM	182H	Honors Chemistry II				4
   			LB	172	Principles of Chemistry II				3
   		(c)	CEM	161	Chemistry Laboratory I				1
   			CEM	185H	Honors Chemistry Laboratory				2
   			LB	171L	Introductory Chemistry Laboratory I				1
   	(3)	One course from each of the following groups (8 or 10 credits):
   		(a)	PHY	183	Physics for Scientists and Engineers I				4
   			LB	273	Physics I				4
   			PHY	173	Studio Physics for Scientists and Engineers I				5
   			PHY	193H	Honors Physics I - Mechanics				4
   		(b)	LB	274	Physics II				4
   			PHY	184	Physics for Scientists and Engineers I				4
   			PHY	174	Physics II				5
   			PHY	294H	Honors Physics II - Electromagnetism				4
   	(4)	At least 1 credit in laboratory in biological science, chemistry, entomology, microbiology, physiology, plant biology, or integrative biology.
   	(5)	One of the following groups of courses (8 credits):
   		(a)	CSE	231	Introduction to Programming I				4
   			CSE	232	Introduction to Programming II				4
   		(b)	CMSE	201	Computational Modeling and Data Analysis I				4
   			CMSE	202	Computational Modeling and Data Analysis II				4
   b.	The following courses from the Department of Mathematics:
   	(1)	One course from each of the following groups (11 or 12 credits):
   		(a)	MTH	132	Calculus I				3
   			MTH	152H	Honors Calculus I				3
   			LB	118	Calculus I				4
   		(b)	MTH	133	Calculus II				4
   			MTH	153H	Honors Calculus II				4
   			LB	119	Calculus II				4
   		(c)	MTH	234	Multivariable Calculus				4
   			MTH	254H	Honors Multivariable Calculus				4
   			LB	220	Calculus III				4
   	(2)	One of the following groups (4 or 7 credits):
   		(a)	MTH	299	Transitions				4
   			MTH	309	Linear Algebra I				3
   		(b)	MTH	299	Transitions				4
   			MTH	314	Matrix Algebra with Computational				3
   		(c)	MTH	317H	Honors Linear Algebra				4
   	(3)	Completion of one of the following groups of courses (12 credits):
   		(a)	Differential Equations and Numerical Methods
   			(i)	One of the following courses:
   				MTH	235	Differential Equations			3
   				MTH	340	Ordinary Differential Equations I			3
   				MTH	347H	Honors Ordinary Differential Equations			3
   			(ii)	One of the following courses:
   				MTH	320	Analysis I			3
   				MTH	327H	Honors Introduction to Analysis			3
   			(iii)	The following course:
   				MTH	451	Numerical Analysis I			3
   			(iv)	One of the following courses:
   				MTH	441	Ordinary Differential Equations II			3
   				MTH	442	Partial Differential Equations			3
   				MTH	452	Numerical Analysis II			3
   		(b)	Probability and Discrete Mathematics
   			(i)	The following course:
   				STT	441	Probability and Statistics I: Probability			3
   			(ii)	One of the following courses:
   				MTH	320	Analysis I			3
   				MTH	327H	Honors Introduction to Analysis			3
   			(iii)	Both of the following courses:
   				MTH	481	Discrete Mathematics I			3
   				MTH	482	Discrete Mathematics II			3
   		(c)	Applied Algebra and Discrete Mathematics
   			(i)	One of the following courses:
   				MTH	310	Abstract Algebra I and Number Theory			3
   				MTH	418H	Honors Algebra I			3
   			(ii)	All of the following courses:
   				MTH	416	Introduction to Algebraic Coding			3
   				MTH	481	Discrete Mathematics I			3
   				MTH	482	Discrete Mathematics II			3
   		(d)	Mathematical Machine Learning
   			(i)	One of the following courses:
   				MTH	320	Analysis I			3
   				MTH	327H	Honors Introduction to Analysis			3
   			(ii)	All of the following courses:
   				MTH	483	Mathematical Machine Learning			3
   				STT	441	Probability and Statistics I: Probability			3
   				STT	442	Probability and Statistics II: Statistics			3
   	(4)	Both of the following courses (6 credits):
   		MTH	415	Applied Linear Algebra					3
   		MTH	496	Capstone in Mathematics (W)					3
   	(5)	Complete five elective courses from the following lists of electives with at least two from the Mathematics Electives list.  All courses listed may only be used if not being used to meet a course requirement in requirement (3) above (15 to 20 credits):
   		Mathematics Electives
   		MTH	310	Abstract Algebra					3
   		Or
   		MTH	418H	Honors Algebra I					3
   		MTH	320	Analysis I					3
   		or
   		MTH	327H	Honors Introduction to Analysis					3
   		MTH	411	Abstract Algebra II					3
   		or
   		MTH	419H	Honors Algebra II					3
   		MTH	416	Introduction to Algebraic Coding					3
   		MTH	417	Topics in Number Theory					3
   		MTH	421	Analysis II					3
   		or
   		MTH	429H	Honors Real Analysis					3
   		MTH	425	Complex Analysis					3
   		MTH	441	Ordinary Differential Equations II					3
   		MTH	442	Partial Differential Equations					3
   		MTH	451	Numerical Analysis I					3
   		MTH	452	Numerical Analysis II					3
   		MTH	457	Introduction to Financial Mathematics
   		MTH	461	Metric and Topological Spaces					3
   		MTH	481	Discrete Mathematics I					3
   		MTH	482	Discrete Mathematics II					3
   		MTH	483	Mathematical Machine Learning					3
   		Other 400-level or above MTH courses approved by the Department of Mathematics.
   		Other Electives
   		Approval of the College of Engineering is required to enroll in all CSE or ECE courses listed.
   		CMSE	404	Introduction to Machine Learning					3
   		CSE	402	Biometrics and Pattern Recognition					3
   		CSE	404	Introduction to Machine Learning					3
   		CSE	425	Introduction to Computer Security					3
   		CSE	450	Translation of Programming Languages					3
   		CSE	460	Computability and Formal Language Theory					3
   		CSE	472	Computer Graphics					3
   		CSE	482	Big Data Analysis					3
   		ECE	305	Electromagnetic Fields and Waves I					4
   		ECE	366	Introduction to Signal Processing					3
   		ECE	405	Electromagnetic Fields and Waves II					4
   		ECE	446	Biomedical Signal Processing					3
   		ECE	447	Introduction to Biomedical Imaging					3
   		ECE	449	Fundamentals of Acoustics					3
   		ECE	457	Communication Systems					3
   		PHY	410	Thermal and Statistical Physics					3
   		PHY	415	Methods of Theoretical Physics					4
   		PHY	422	Classical Mechanics II					3
   		PHY	471	Quantum Physics I					3
   		PHY	472	Quantum Physics II					3
   		PHY	480	Computational Physics					3
   		PHY	481	Electricity and Magnetism I					3
   		PHY	482	Electricity and Magnetism II					3
   		STT	381	Fundamentals of Data Science Methods					4
   		STT	441	Probability and Statistics I: Probability					3
   		STT	442	Probability and Statistics II: Statistics					3
   		STT	455	Actuarial Models I					3
   		STT	461	Computations in Probability and Statistics					3
   		STT	465	Bayesian Statistical Methods					3
   		Other 400-level or above courses approved by the Department of Mathematics.

Requirements for the Bachelor of Arts Degree in Computational and Applied Mathematics

1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Arts degree in Computational and Applied Mathematics.
   
   The University's Tier II writing requirement for the Computational and Applied Mathematics major is met by completing Mathematics 309 or 310 and 496.  Those courses are referenced in item 3.c.(1) below.
   
   Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
2. The requirements of the College of Natural Science for the Bachelor of Arts degree.
   
   The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
3. The following requirements for the major:

   a.	The following courses outside the Department of Mathematics (a minimum of 27 credits):
   	(1)	One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or integrative biology.
   	(2)	One of the following courses (4 credits):
   		CEM	141	General Chemistry					4
   		CEM	151	General and Descriptive Chemistry					4
   		LB	171	Principles of Chemistry I					4
   		CEM	181H	Honors Chemistry I					4
   	(3)	One of the following courses (4 or 5 credits):
   		PHY	183	Physics for Scientists and Engineers I					4
   		LB	273	Physics I					4
   		PHY	173	Studio Physics for Scientists and Engineers I					5
   		PHY	193H	Honors Physics I - Mechanics					4
   	(4)	At least 2 credits in laboratory in biological science, chemistry, entomology, microbiology, physiology, plant biology, or integrative biology.
   	(5)	A minimum of 6 credits beyond the university requirements in courses from the College of Arts and Letters or the College of Social Science approved by the student's academic advisor.
   	(6)	One of the following groups of courses (8 credits):
   		(a)	CSE	231	Introduction to Programming I				4
   			CSE	232	Introduction to Programming II				4
   		(b)	CMSE	201	Computational Modeling and Data Analysis I				4
   			CMSE	202	Computational Modeling and Data Analysis II				4
   b.	The following courses from the Department of Mathematics:
   	(1)	One course from each of the following groups (11 or 12 credits):
   		(a)	MTH	132	Calculus I				3
   			MTH	152H	Honors Calculus I				3
   			LB	118	Calculus I				4
   		(b)	MTH	133	Calculus II				4
   			MTH	153H	Honors Calculus II				4
   			LB	119	Calculus II				4
   		(c)	MTH	234	Multivariable Calculus				4
   			MTH	254H	Honors Multivariable Calculus				4
   			LB	220	Calculus III				4
   	(2)	One of the following groups (4 or 7 credits):
   		(a)	MTH	299	Transitions				4
   			MTH	309	Linear Algebra I				3
   		(b)	MTH	299	Transitions				4
   			MTH	314	Matrix Algebra with Computational				3
   		(c)	MTH	317H	Honors Linear Algebra				4
   	(3)	Completion of one of the following groups of courses (12 credits):
   		(a)	Differential Equations and Numerical Methods
   			(i)	One of the following courses:
   				MTH	235	Differential Equations			3
   				MTH	340	Ordinary Differential Equations I			3
   				MTH	347H	Honors Ordinary Differential Equations			3
   			(ii)	One of the following courses:
   				MTH	320	Analysis I			3
   				MTH	327H	Honors Introduction to Analysis			3
   			(iii)	The following course:
   				MTH	451	Numerical Analysis I			3
   			(iv)	One of the following courses:
   				MTH	441	Ordinary Differential Equations II			3
   				MTH	442	Partial Differential Equations			3
   				MTH	452	Numerical Analysis II			3
   		(b)	Probability and Discrete Mathematics
   			(i)	The following course:
   				STT	441	Probability and Statistics I: Probability			3
   			(ii)	One of the following courses:
   				MTH	320	Analysis I			3
   				MTH	327H	Honors Introduction to Analysis			3
   			(iii)	Both of the following courses:
   				MTH	481	Discrete Mathematics I			3
   				MTH	482	Discrete Mathematics II			3
   		(c)	Applied Algebra and Discrete Mathematics
   			(i)	One of the following courses:
   				MTH	310	Abstract Algebra I and Number Theory			3
   				MTH	418H	Honors Algebra I			3
   			(ii)	All of the following courses:
   				MTH	416	Introduction to Algebraic Coding			3
   				MTH	481	Discrete Mathematics I			3
   				MTH	482	Discrete Mathematics II			3
   		(d)	Mathematical Machine Learning
   			(i)	One of the following courses:
   				MTH	320	Analysis I			3
   				MTH	327H	Honors Introduction to Analysis			3
   			(ii)	All of the following courses:
   				MTH	483	Mathematical Machine Learning			3
   				STT	441	Probability and Statistics I: Probability			3
   				STT	442	Probability and Statistics II: Statistics			3
   	(4)	Both of the following courses (6 credits):
   		MTH	415	Applied Linear Algebra					3
   		MTH	496	Capstone in Mathematics (W)					3
   	(5)	Complete five elective courses from the following lists of electives with at least two from the Mathematics Electives list.  All courses listed may only be used if not being used to meet a course requirement in requirement (3) above (15 to 20 credits):
   		Mathematics Electives
   		MTH	310	Abstract Algebra					3
   		Or
   		MTH	418H	Honors Algebra I					3
   		MTH	320	Analysis I					3
   		or
   		MTH	327H	Honors Introduction to Analysis					3
   		MTH	411	Abstract Algebra II					3
   		or
   		MTH	419H	Honors Algebra II					3
   		MTH	416	Introduction to Algebraic Coding					3
   		MTH	417	Topics in Number Theory					3
   		MTH	421	Analysis II					3
   		or
   		MTH	429H	Honors Real Analysis					3
   		MTH	425	Complex Analysis					3
   		MTH	441	Ordinary Differential Equations II					3
   		MTH	442	Partial Differential Equations					3
   		MTH	451	Numerical Analysis I					3
   		MTH	452	Numerical Analysis II					3
   		MTH	457	Introduction to Financial Mathematics
   		MTH	461	Metric and Topological Spaces					3
   		MTH	481	Discrete Mathematics I					3
   		MTH	482	Discrete Mathematics II					3
   		MTH	483	Mathematical Machine Learning					3
   		Other 400-level or above MTH courses approved by the Department of Mathematics.
   		Other Electives
   		Approval of the College of Engineering is required to enroll in all CSE or ECE courses listed.
   		CMSE	404	Introduction to Machine Learning					3
   		CSE	402	Biometrics and Pattern Recognition					3
   		CSE	404	Introduction to Machine Learning					3
   		CSE	425	Introduction to Computer Security					3
   		CSE	450	Translation of Programming Languages					3
   		CSE	460	Computability and Formal Language Theory					3
   		CSE	472	Computer Graphics					3
   		CSE	482	Big Data Analysis					3
   		ECE	305	Electromagnetic Fields and Waves I					4
   		ECE	366	Introduction to Signal Processing					3
   		ECE	405	Electromagnetic Fields and Waves II					4
   		ECE	446	Biomedical Signal Processing					3
   		ECE	447	Introduction to Biomedical Imaging					3
   		ECE	449	Fundamentals of Acoustics					3
   		ECE	457	Communication Systems					3
   		PHY	410	Thermal and Statistical Physics					3
   		PHY	415	Methods of Theoretical Physics					4
   		PHY	422	Classical Mechanics II					3
   		PHY	471	Quantum Physics I					3
   		PHY	472	Quantum Physics II					3
   		PHY	480	Computational Physics					3
   		PHY	481	Electricity and Magnetism I					3
   		PHY	482	Electricity and Magnetism II					3
   		STT	381	Fundamentals of Data Science Methods					4
   		STT	441	Probability and Statistics I: Probability					3
   		STT	442	Probability and Statistics II: Statistics					3
   		STT	455	Actuarial Models I					3
   		STT	461	Computations in Probability and Statistics					3
   		STT	465	Bayesian Statistical Methods					3
   		Other 400-level or above courses approved by the Department of Mathematics.

Requirements for the Bachelor of Science Degree in Mathematics

1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Mathematics.
   
   The University's Tier II writing requirement for the Mathematics major is met by completing Mathematics 396 or 496 and Mathematics 309 or 310 or 418H.  Those courses are referenced in item 3.c. below.
   
   Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
2. The requirements of the College of Natural Science for the Bachelor of Science degree.
   
   The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
   1. The following requirements for the major:

      a.	The following courses outside the Department of Mathematics (19 to 23 credits):
      	(1)	One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or integrative biology. At least 2 credits in laboratory in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology.
      	(2)	One course from each of the following groups (8 or 10 credits):
      		(a)		CEM	141	General Chemistry		4
      				CEM	151	General and Descriptive Chemistry		4
      				CEM	181H	Honors Chemistry I		4
      				LB	171	Principles of Chemistry I		4
      		(b)		CEM	142	General and Inorganic Chemistry		3
      				CEM	152	Principles of Chemistry		3
      				CEM	182H	Honors Chemistry II		4
      				LB	172	Principles of Chemistry II		3
      		(c)		CEM	161	Chemistry Laboratory I		1
      				CEM	185H	Honors Chemistry Laboratory I		2
      				LB	171L	Introductory Chemistry Laboratory I		2
      	(3)	One of the following groups of courses (8 to 10 credits):
      		(a)		PHY	183	Physics for Scientists and Engineers I		4
      				PHY	184	Physics for Scientists and Engineers II		4
      		(b)		PHY	193H	Honors Physics I - Mechanics		4
      				PHY	294H	Honors Physics II - Electromagnetism		4
      		(c)		LB	273	Physics I		4
      				LB	274	Physics II		4
      		(d)		PHY	173	Physics I		5
      				PHY	174	Physics II		5
      b.	First–year competency in a foreign language
      	or
      	For students who have been admitted to the teacher certification program, completion of the Professional Education Courses in the Department of Teacher Education.
      c.	A total of 36 to 43 credits in courses in the Department of Mathematics including (36 to 43 credits):
      	(1)	One course from each of the following two groups (7 or 8 credits):
      		(a)		MTH	132	Calculus I		3
      				MTH	152H	Honors Calculus		3
      				LB	118	Calculus I		4
      		(b)		MTH	133	Calculus II		4
      				MTH	153H	Honors Calculus II		4
      				LB	119	Calculus II		4
      	(2)	One of the following courses (4 credits):
      		MTH		234	Multivariable Calculus			4
      		MTH		254H	Honors Multivariable Calculus			4
      		LB		220	Calculus III			4
      	(3)	One of the following two groups (4 or 7 credits):
      		(a)		MTH	299	Transitions		4
      				MTH	309	Linear Algebra I		3
      		(b)		MTH	317H	Honors Linear Algebra		4
      	(4)	The following course (3 credits):
      		MTH		496	Capstone in Mathematics (W)			3
      		The completion of Mathematics 496 fulfills the department's capstone course requirement. Students in the teacher certification program may substitute Mathematics 396 Capstone in Mathematics for Secondary Education for Mathematics 496.
      	(5)	A total of 27 credits in approved Mathematics courses at the 300-level or above. At least four of the approved Mathematics courses must be at the 400-level or above.  Mathematics 415 may not be used to fulfill the requirements of the major. One course from a list of approved cognates available in the Department of Mathematics may be used to satisfy this requirement. Statistics and Probability 430 is required for students in the teacher certification program. Either Statistics and Probability 430 or 441 may be substituted for one 300-level mathematics course. The 300-400 level courses as referenced in item 3. c. partially satisfy this requirement. Students with credit in MTH 235 prior to entering the Mathematics major, only need 24 credits to fulfill this requirement.
      	(6)	One of the following courses (3 credits):
      		MTH		310	Abstract Algebra I and Number Theory			3
      		MTH		418H	Honors Algebra I			3
      	(7)	One of the following courses (3 credits):
      		MTH		320	Analysis I			3
      		MTH		327H	Honors Introduction  to Analysis			3
      	(8)	One of the following courses (3 credits):
      		MTH		330	Higher Geometry			3
      		MTH		340	Ordinary Differential Equations I			3
      		MTH		347H	Honors Ordinary Differential Equations			3
      		MTH		432	Axiomatic Geometry			3
      		Students in the teacher certification program must take either Mathematics 330 or 432. Students not in the teacher certification program must take Mathematics 340 or 347H. Students not in the teacher certification program with prior credit in Mathematics 235 may substitute an approved 400-level Mathematics course for Mathematics 340.
      	(9)	One course selected from two of the following groups (6 credits):
      		(a)	MTH	411	Abstract Algebra II			3
      			MTH	414	Linear Algebra II			3
      			MTH	416	Introduction to Algebraic Coding			3
      			MTH	417	Topics in Number Theory			3
      			MTH	419H	Honors Algebra II			3
      		(b)	MTH	421	Analysis II			3
      			MTH	425	Complex Analysis			3
      			MTH	428H	Honors Complex Analysis			3
      			MTH	429H	Honors Real Analysis			3
      			MTH	442	Partial Differential Equations			3
      		(c)	MTH	441	Ordinary Differential Equations II			3
      			MTH	451	Numerical Analysis I			3
      			MTH	457	Introduction to Financial Math			3
      			MTH	461	Metric and Topological Spaces			3
      			MTH	481	Discrete Mathematics I			3
      		Students with credit in MTH 418H may not use MTH 411 to satisfy this requirement.
      d.	One of the following courses (4 credits):
      	CMSE	202	Computational Modeling and Data Analysis II					4
      	CSE	231	Introduction to Programming I					4

Requirements for the Bachelor of Arts Degree in Mathematics

1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Arts degree in Mathematics.
   
   The University's Tier II writing requirement for the Mathematics major is met by completing Mathematics 396 or 496 and Mathematics 309 or 310 or 418H.  Those courses are referenced in items 3. c. (1) and 3. c. (3) below.
   
   Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
2. The requirements of the College of Natural Science for the Bachelor of Arts degree.
   
   The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
3. The following requirements for the major:

   a.	The following courses outside the Department of Mathematics (11 or 12 credits):
   	(1)	One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or  integrative biology. At least 2 credits in laboratory in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology.
   	(2)	One of the following courses (4 or 5 credits):							4
   		LB	273	Physics I					5
   		PHY	173	Studio Physics for Scientists and Engineers I					4
   		PHY	183	Physics for Scientists and Engineers I					4
   		PHY	193H	Honors Physics I - Mechanics
   	(3)	One of the following courses (4 credits):							4
   		CEM	141	General Chemistry					4
   		CEM	151	General and Descriptive Chemistry					4
   		CEM	181H	Honors Chemistry I					4
   		LB	171	Principles of Chemistry I
   b.	Second–year competency in a foreign language
   	or
   	For students who have been admitted to the teacher certification program, first–year competency in a foreign language and completion of the Professional Education Courses in the Department of Teacher Education.
   c.	A total of 36 to 43 credits in courses in the Department of Mathematics  including (36 to 43 credits):
   	(1)	One course from each of the following two groups (6 to 8 credits):							3
   		(a)	MTH	132	Calculus I				3
   			MTH	152H	Honors Calculus				4
   			LB	118	Calculus I				4
   		(b)	MTH	133	Calculus II				3
   			MTH	153H	Honors Calculus II				4
   			LB	119	Calculus II
   	(2)	One of the following courses (4 credits):
   		MTH	234	Multivariable Calculus					4
   		MTH	254H	Honors Multivariable Calculus					4
   		LB	220	Calculus III					4
   	(3)	One of the following two groups (4 or 7 credits):
   		(a)	MTH	299	Transitions				4
   			MTH	309	Linear Algebra I				3
   		(b)	MTH	317H	Honors Linear Algebra				4
   	(4)	The following course (3 credits):
   		MTH	496	Capstone in Mathematics (W)					3
   		The completion of Mathematics 496 fulfills the department's capstone course requirement. Students in the teacher certification program may substitute Mathematics 396 Capstone in Mathematics for Secondary Education for Mathematics 496.
   	(5)	A total of 27 credits in approved Mathematics courses at the 300–level or above. At least 4 of the approved Mathematics courses must be at the 400–level or above.  Mathematics 415 may not be used to fulfill the requirements of the major.  Students may use no more than one of MTH 309, 314, 317H to satisfy this requirement. One course from a list of approved cognates available in the Department of Mathematics may be used to satisfy this requirement. Statistics and Probability 430 is required for students in the teacher certification program. Either Statistics and Probability 430 or 441 may be substituted for one 300-level mathematics course. The 300-400 level courses referenced in item 3. c. partially satisfy this requirement.
   	(6)	One of the following courses (3 credits):
   		MTH	310	Abstract Algebra I and Number Theory					3
   		MTH	418H	Honors Algebra I					3
   	(7)	One of the following courses (3 credits):
   		MTH	320	Analysis I					3
   		MTH	327H	Honors Introduction to Analysis					3
   	(8)	One of  the following courses (3 credits):
   		MTH	330	Higher Geometry					3
   		MTH	340	Ordinary Differential Equations I					3
   		MTH	347H	Honors Ordinary Differential Equations					3
   		MTH	432	Axiomatic Geometry					3
   		Students in the teacher certification program must take either Mathematics 330 or 432. Students not in the teacher certification program must take Mathematics 340 or 347H. Students not in the teacher certification program with prior credit in Mathematics 235 may substitute an approved 400-level Mathematics course for Mathematics 340.
   	(9)	Two courses selected from two of the following three groups (6 credits):
   		(a)	MTH	411	Abstract Algebra II				3
   			MTH	414	Linear Algebra II				3
   			MTH	416	Introduction to Algebraic Coding				3
   			MTH	417	Topics in Number Theory				3
   			MTH	419H	Honors Algebra II				3
   		(b)	MTH	421	Analysis II				3
   			MTH	425	Complex Analysis				3
   			MTH	428H	Honors Complex Analysis				3
   			MTH	429H	Honors Real Analysis				3
   			MTH	442	Partial Differential Equations				3
   		(c)	MTH	441	Ordinary Differential Equations II				3
   			MTH	451	Numerical Analysis I				3
   			MTH	457	Introduction to Financial Mathematics				3
   			MTH	461	Metric and Topological Spaces				3
   			MTH	481	Discrete Mathematics I				3
   			Students with credit in MTH 418H may not use MTH 411 to satisfy this requirement
   d.	One of the following courses (4 credits):
   	CSE	231	Introduction to Programming I						4
   	CMSE	202	Computational Modeling and Data Analysis II						4

Requirements for the Bachelor of Arts Degree in Mathematics, Advanced

1. The University requirements for bachelor’s degrees as described in the Undergraduate  Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Mathematics, Advanced.
   
   The University’s Tier II writing requirement for the Mathematics, Advanced major is met by completing Mathematics 418H and 496.  Those courses are referenced in item 3. below.
   
   Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement. Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
2. The  requirements of the College of Natural Science for the Bachelor of Arts degree.
   
   The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
3. The following requirements for the major:

   a.	The following courses outside the Department of Mathematics (13 or 14 credits):
   	(1)One of the following courses (3 or 4 credits):
   		BS	161	Cell and Molecular Biology						3
   		ENT	205	Pests, Society, and Environment						3
   		IBIO	150	Integrating Biology: From DNA to Populations						3
   		PLB	105	Plant Biology						3
   		PSL	250	Introductory Physiology						4
   	(2)	One of the following courses (4 credits):
   		CEM	141	General Chemistry						4
   		CEM	151	General and Descriptive Chemistry						4
   		CEM	181H	Honors Chemistry I						4
   		LB	171	Principles of Chemistry I						4
   	(3)	One of the following courses (4 or 5 credits):
   		PHY	173	Studio Physics for Scientists and Engineers I						5
   		PHY	183	Physics for Scientists and Engineers I						4
   		PHY	193H	Honors Physics I – Mechanics						4
   		LB	273	Physics I						4
   	(4)	A minimum of  2 credits in laboratory courses in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology.
   b.	A total of 34 to 37 credits in courses in the Department of Mathematics including:
   	(1)	One of the following courses (3 or 4 credits):
   		MTH	132	Calculus I						3
   		MTH	152H	Honors Calculus I						3
   		LB	118	Calculus I						4
   	(2)	One of the following courses (4 credits):
   		MTH	133	Calculus II						4
   		MTH	153H	Honors Calculus II						4
   		LB	119	Calculus II						4
   	(3)	One of the following courses (4 credits):
   		MTH	234	Multivariable Calculus						4
   		MTH	254H	Honors Multivariable Calculus						4
   		LB	220	Calculus III						4
   	(4)	All of the following courses (22 credits):
   		MTH	317H	Honors Linear Algebra						4
   		MTH	327H	Honors Introduction to Analysis						3
   		MTH	347H	Honors Ordinary Differential Equations						3
   		MTH	418H	Honors Algebra I						3
   		MTH	419H	Honors Algebra II						3
   		MTH	429H	Honors Real Analysis						3
   		MTH	496	Capstone in Mathematics (W)						3
   		The completion of Mathematics 496 fulfills the department’s capstone course requirement.
   c.		A total of 15 credits in electives. Three of the courses (9 credits) are to be selected from any MTH course at the 800-level or above, or any course approved by the Mathematics Advanced program for satisfying this requirement, or any course from the following list:
   		MTH	416	Introduction to Algebraic Coding						3
   		MTH	417	Topics in Number Theory						3
   		MTH	425	Complex Analysis						3
   		MTH	441	Ordinary Differential Equations II						3
   		MTH	442	Partial Differential Equations						3
   		MTH	451	Numerical Analysis I						3
   		MTH	452	Numerical Analysis II						3
   		MTH	461	Metric and Topological Spaces						3
   		MTH	481	Discrete Mathematics I						3
   		MTH	482	Discrete Mathematics II						3
   		MTH	492H	Undergraduate Thesis (W)						3
   		Two of the courses (6 credits) are to be selected from any MTH course at the 400 level or above (excluding MTH 411 and 421), or any course approved by the Mathematics Advanced program for satisfying this requirement, or any course from the following list:
   		CMSE	820	Mathematical Foundations of Data Science						3
   		CMSE	821	Numerical Methods for Differential Equations						3
   		CMSE	823	Numerical Linear Algebra						3
   		CSE	425	Introduction to Computer Security						3
   		CSE	450	Translation of Programming Languages						3
   		CSE	460	Computability and Formal Language Theory						3
   		CSE	472	Computer Graphics						3
   		CSE	802	Pattern Recognition and Analysis						3
   		CSE	803	Computer Vision						3
   		CSE	814	Computer Aided Verification						3
   		CSE	830	Design and Theory of Algorithms						3
   		CSE	835	Algorithmic Graph Theory						3
   		CSE	847	Machine Learning						3
   		CSE	860	Foundations of Computing						3
   		CSE	881	Data Mining						3
   		PHL	432	Logic and its Metatheory						4
   		PHY	410	Thermal and Statistical Physics						3
   		PHY	415	Methods of Theoretical Physics						4
   		PHY	422	Classical Mechanics II						3
   		PHY	471	Quantum Physics I						3
   		PHY	472	Quantum Physics II						3
   		PHY	480	Computational Physics						3
   		PHY	481	Electricity and Magnetism I						3
   		PHY	482	Electricity and Magnetism II						3
   		STT	861	Theory of Probability and Statistics I						3
   		STT	862	Theory of Probability and Statistics II						3
   		STT	881	Theory of Probability I						3
   		STT	882	Theory of Probability II						3
   		STT	886	Stochastic Processes and Applications						3

Requirements for the Bachelor of Science Degree in Mathematics, Advanced

1. The University requirements for bachelor’s degrees as described in the Undergraduate  Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Mathematics, Advanced.
   
   The University’s Tier II writing requirement for the Mathematics, Advanced major is met by completing Mathematics 418H and 496.  Those courses are referenced in item 3. below.
   
   Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement. Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
2. The  requirements of the College of Natural Science for the Bachelor of Science degree.
   
   The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
3. The following requirements for the major:

   a.	The following courses outside the Department of Mathematics (20 or 25 credits):
   	(1)	One of the following courses (3 or 4 credits):
   		BS	161	Cell and Molecular Biology							3
   		ENT	205	Pests, Society, and Environment							3
   		IBIO	150	Integrating Biology: From DNA to Populations							3
   		PLB	105	Plant Biology							3
   		PSL	250	Introductory Physiology							4
   	(2)	One of the following groups of courses (8 or 10 credits):
   		(a)	CEM	141	General Chemistry						4
   			CEM	142	General and Inorganic Chemistry						3
   			CEM	161	Chemistry Laboratory I						1
   		(b)	CEM	151	General and Descriptive Chemistry						4
   			CEM	152	Principles of Chemistry						3
   			CEM	161	Chemistry Laboraotory I						1
   		(c)	CEM	181H	Honors Chemistry I						4
   			CEM	182H	Honors Chemistry II						4
   			CEM	185H	Honors Chemistry Laboratory I						2
   		(d)	LB	171	Principles of Chemistry I						4
   			LB	172	Principles of Chemistry II						3
   			LB	171L	Introductory Chemistry Laboratory I						1
   	(3)	One of the following courses (4 or 5 credits):
   		(a)	PHY	183	Physics for Scientists and Engineers I						4
   			PHY	184	Physics for Scientists and Engineers II						4
   		(b)	PHY	193H	Honors Physics I – Mechanics						4
   			PHY	294H	Honors Physics II - Electromagnetism						4
   		(c)	PHY	173	Studio Physics for Scientists and Engineers I						5
   			PHY	174	Studio Physics for Scientists and Engineers II						5
   		(d)	LB	273	Physics I						4
   			LB	274	Physics II						4
   	(4)		A minimum of 1 credit in laboratory courses in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology.
   b.	A total of 34 to 37 credits in courses in the Department of Mathematics including:
   	(1)		One of the following courses (3 or 4 credits):
   			MTH	132	Calculus I						3
   			MTH	152H	Honors Calculus I						3
   			LB	118	Calculus I						4
   	(2)		One of the following courses (4 credits):
   			MTH	133	Calculus II						4
   			MTH	153H	Honors Calculus II						4
   			LB	119	Calculus II						4
   	(3)		One of the following courses (4 credits):
   			MTH	234	Multivariable Calculus						4
   			MTH	254H	Honors Multivariable Calculus						4
   			LB	220	Calculus III						4
   	(4)		All of the following courses (22 credits):
   			MTH	317H	Honors Linear Algebra						4
   			MTH	327H	Honors Introduction to Analysis						3
   			MTH	347H	Honors Ordinary Differential Equations						3
   			MTH	418H	Honors Algebra I						3
   			MTH	419H	Honors Algebra II						3
   			MTH	429H	Honors Real Analysis						3
   			MTH	496	Capstone in Mathematics (W)						3
   			The completion of Mathematics 496 fulfills the department’s capstone course requirement.
   c.			A total of 15 credits in electives. Three of the courses (9 credits) are to be selected from any MTH course at the 800-level or above, or any course approved by the Mathematics Advanced program for satisfying this requirement, or any course from the following list:
   			MTH	416	Introduction to Algebraic Coding						3
   			MTH	417	Topics in Number Theory						3
   			MTH	425	Complex Analysis						3
   			MTH	441	Ordinary Differential Equations II						3
   			MTH	442	Partial Differential Equations						3
   			MTH	451	Numerical Analysis I						3
   			MTH	452	Numerical Analysis II						3
   			MTH	461	Metric and Topological Spaces						3
   			MTH	481	Discrete Mathematics I						3
   			MTH	482	Discrete Mathematics II						3
   			MTH	492H	Undergraduate Thesis (W)						3
   			Two of the courses (6 credits) are to be selected from any MTH course at the 400 level or above (excluding MTH 411 and 421), or any course approved by the Mathematics Advanced program for satisfying this requirement, or any course from the following list:
   			CMSE	820	Mathematical Foundations of Data Science						3
   			CMSE	821	Numerical Methods for Differential Equations						3
   			CMSE	823	Numerical Linear Algebra						3
   			CSE	425	Introduction to Computer Security						3
   			CSE	450	Translation of Programming Languages						3
   			CSE	460	Computability and Formal Language Theory						3
   			CSE	472	Computer Graphics						3
   			CSE	802	Pattern Recognition and Analysis						3
   			CSE	803	Computer Vision						3
   			CSE	814	Computer Aided Verification						3
   			CSE	830	Design and Theory of Algorithms						3
   			CSE	835	Algorithmic Graph Theory						3
   			CSE	847	Machine Learning						3
   			CSE	860	Foundations of Computing						3
   			CSE	881	Data Mining						3
   			PHL	432	Logic and its Metatheory						4
   			PHY	410	Thermal and Statistical Physics						3
   			PHY	415	Methods of Theoretical Physics						4
   			PHY	422	Classical Mechanics II						3
   			PHY	471	Quantum Physics I						3
   			PHY	472	Quantum Physics II						3
   			PHY	480	Computational Physics						3
   			PHY	481	Electricity and Magnetism I						3
   			PHY	482	Electricity and Magnetism II						3
   			STT	861	Theory of Probability and Statistics I						3
   			STT	862	Theory of Probability and Statistics II						3
   			STT	881	Theory of Probability I						3
   			STT	882	Theory of Probability II						3
   			STT	886	Stochastic Processes and Applications						3

The Bachelor of Science Degree in Mathematics-Secondary Education adequately prepares students to teach mathematics at the secondary level. Students gain a thorough foundation of mathematics, both in content and practice, and a comprehensive understanding of educational pedagogy and instructional methods.
 
Requirements for the Bachelor of Science Degree in Mathematics-Secondary Education

1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are  required for the Bachelor of Science degree in Mathematics-Secondary Education.
   
   The University's Tier II writing requirement for the Mathematics-Secondary Education major is met by completing Mathematics 309 and 396.  Those courses are referenced in item 3. below.
   
   Students may substitute Teacher Education 101 and 102 for two ISS requirements.
   
   Students may substitute Teacher Education 341 for one IAH requirement.
2. The requirements of the College of Natural Science for the Bachelor of Science degree.
   
   The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
3. The following requirements for the major:

   a.	The following courses outside the Department of Mathematics (19 to 23 credits):
   	(1)	One course of at least 3 credits in biological science, entomology, Microbiology, physiology, plant biology, or integrative biology. At least 2 credits in laboratory in biological science, chemistry, microbiology, physics, physiology, plant biology, or integrative biology. This requirement is met by fulfilling the course requirements in item 3. a. (2) (c) below and 1 additional credit if not taking CEM 185H.
   	(2)	One course from each of the following groups (8 or 10 credits):
   		(a)	CEM	141	General Chemistry				4
   			CEM	151	General and Descriptive Chemistry				4
   			CEM	181H	Honors Chemistry I				4
   			LB	171	Principles of Chemistry I				4
   		(b)	CEM	142	General and Inorganic Chemistry				3
   			CEM	152	Principles of Chemistry				3
   			CEM	182H	Honors Chemistry II				4
   			LB	172	Principles of Chemistry II				3
   		(c)	CEM	161	Chemistry Laboratory I				1
   			CEM	185H	Honors Chemistry Laboratory I				2
   			LB	171L	Introductory Chemistry Laboratory I				1
   		(d)	One of the following groups of courses (8 to 10 credits):
   			(i)	PHY	183	Physics for Scientists and Engineers I			4
   				PHY	184	Physics for Scientists and Engineers II			4
   			(ii)	PHY	193H	Honors Physics I – Mechanics			4
   				PHY	294H	Honors Physics II – Electromagnetism			4
   			(iii)	LB	273	Physics I			4
   				LB	274	Physics II			4
   			(iv)	PHY	173	Physics I			5
   				PHY	174	Physics II			5
   b.	The following courses in the Department of Mathematics (33 to 37 credits):
   	(1)	One course from each of the following two groups (7 or 8 credits):
   		(a)	MTH	132	Calculus I				3
   			MTH	152H	Honors Calculus				3
   			LB	118	Calculus I				4
   		(b)	MTH	133	Calculus II				4
   			LB	119	Calculus II				4
   	(2)	One of the following courses (4 credits):
   		MTH	234	Multivariable Calculus					4
   		MTH	254H	Honors Multivariable Calculus					4
   		LB	220	Calculus III					4
   	(3)	One of the following two groups of courses (4 or 7 credits):
   		(a)	MTH	299	Transitions				4
   			MTH	309	Linear Algebra I				3
   		(b)	MTH	317H	Honors Linear Algebra				4
   	(4)	All of the following courses (12 credits):
   		MTH	304	Algebra and Calculus for Secondary Education					3
   		MTH	305	Discrete and Computational Mathematics for Secondary Education					3
   		MTH	330	Higher Geometry					3
   		MTH	396	Capstone in Mathematics for Secondary Education (W)					3
   	(5)	One of the following courses (3 credits):
   		MTH	310	Abstract Algebra I and Number Theory					3
   		MTH	418H	Honors Algebra I					3
   	(6)	One of the following courses (3 credits):
   		MTH	320	Analysis I					3
   		MTH	327H	Honors Introduction to Analysis					3
   c.	The following computational and statistics courses from outside the Department of Mathematics (7 credits):
   	(1)	One of the following courses (4 credits):
   		CMSE	201	Computational Modeling and Data Analysis I					4
   		CSE	231	Introduction to Programming I					4
   	(2)	The following course (3 credits):
   		STT	430	Introduction to Probability and Statistics					3
   d.	The following Professional Education Courses in the Department of Teacher Education (36 credits):
   	(1)	All of the following courses from the shared professional sequence (18 credits):
   		CEP	240	Diverse Learners in Multicultural Perspective					3
   		TE	101	Social Foundations of Justice and Equity in Education					3
   		TE	102	Pedagogy and Politics of Justice and Equity in Education					3
   		TE	150	Reflections on Learning					3
   		TE	302	Literacy and Adolescent Learners in School and Community Contexts					3
   		TE	341	Teaching and Learning of (Bi)Multilingual Learners					3
   	(2)	All of the following courses from the subject-specific professional sequence (18 credits):
   		TE	314	Clinical Experiences in Mathematics Education I					3
   		TE	414	Clinical Experiences in Mathematics Education II					3
   		TE	415	Seminar in Mathematics Education I					3
   		TE	416	Seminar in Mathematics Education II					3
   		TE	417	Student Teaching Internship in Mathematics Education					6

The Minor in Actuarial Science, which is administered by the Department of Mathematics within the College of Natural Science, is available as an elective to students who are enrolled in any bachelor’s degree program at Michigan State University. This minor complements a number of major fields such as mathematics, statistics and probability, finance, and economics. It is intended to prepare students for work in insurance companies, banks, investment firms, government work, hospitals and business firms where there is a need to weigh the financial consequences of risk. The Minor in Actuarial Science prepares students for two of the examinations of the Society of Actuaries (SOA): Exam P/1 and Exam FM/2. With the approval of the department that administers the student’s degree program, courses that are used to satisfy the requirements for the minor may also be used to satisfy the requirements for the bachelor’s degree.

Requirements for the Minor in Actuarial Science

The student must complete all of the following courses (21 credits):

The Minor in Mathematics, which is administered by the Department of Mathematics, will broaden students’ understanding and application of mathematical concepts to their chosen field of study.

The minor is available as an elective to students who are enrolled in bachelor’s degree programs at Michigan State University other than the Bachelor of Arts and Bachelor of Science Degree in Mathematics. With the approval of the department and college that administer the student’s degree program, the courses that are used to satisfy the minor may also be used to satisfy the requirements for the bachelor’s degree.

Students who plan to complete the requirements of the minor should consult the undergraduate advisor in the Department of Mathematics.

Requirements for the Minor in Mathematics

Complete the following (21 to 28 credits):