After MATH 1860
Gateway: MATH 1860
Building the department map…
Building the department map…
Department paths
Courses with no prerequisites inside the department that unlock the most downstream work.
The shortest canonical route from each entry point to a gateway course.
Generated from University of Toledo’s catalog, prerequisite, and concentration data. Spotted an error? Departments can adjust labels, ordering, and notes without a code change, so contact us.
Each of these unlocks the largest share of downstream work on this map. Courses from other departments can appear here when they genuinely gate MATH coursework.
Intro tiers at the top, advanced work below; arrows point from a prerequisite to the course it unlocks. Courses from other departments appear where they gate MATH work. Click any course to see what it requires and unlocks without leaving this page; hovering lights up its neighbors. The lists on this page carry the same courses in text form.
Showing the 58 MATH and feeder courses that have prerequisite links. 6 more MATH courses have no recorded prerequisites. They are listed under Tracks below, not drawn as loose dots here.
The concentrations and majors that build on MATH, and how their requirements are structured. Expand a program to see which courses satisfy each group, then plan it in the Planner.
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UToledo Core Curriculum (36 total); Required MATH & EEES courses provide 7 credit hours; UToledo Multicultural; College of NSM Degree Requirements; One WAC course within the Program; Required courses for the BS Data Science:; Required courses for the Environmental Data Concentration:
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UToledo Core Curriculum15 required
UToledo Multicultural6 required
College of NSM Degree Requirementsall required
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UToledo Core Curriculum (Skills, Distributive, and Multicultural) 36~42 credits total2 required · verify with the official sheet
Arts & Humanities (2 disciplines); Social Sciences (2 disciplines); Natural Sciences (2 disciplines, 1 with lab) 6 credits; Electives from MATH or Distributive Category (9 credits); One Multicultural: Non U.S. Diversity (0~3 credits); One Multicultural: U.S. Diversity (0~3 credits)
Course Requirements for the B.S. Chemistry2 required · verify with the official sheet
B.S. Chemistry Major Courses; Upper-Level Chemistry Electives; At least 18 additional credit hours of 3000-4000 level CHEM courses except the following:; No more than 2 hours may come from CHEM 4910; These must include at least two hours of advanced laboratories, chosen from among:
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UToledo Core Curriculum; UToledo Multicultural; College of NSM Degree Requirements; One WAC course within the Program (3 cr); Course Requirements for the BS Environmental Science; Required Environmental Science courses:; One advanced EEES laboratory course; Required Related courses:; Take one of these calculus sequences; Take four of the following related courses, including at least one from each
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UToledo Core Curriculum; UToledo Multicultural; College of NSM Degree Requirements; One WAC course within the Program (3 cr); Course Requirements for the BS Biochemistry; Required Chemistry courses:; 49 hours of CHEM courses are required for the BS Biochemistry; One advanced CHEM laboratory:; One advanced CHEM course with biochemistry focus:; Required related courses:; Electives:
Required Courses2 required · verify with the official sheet
Required Laboratory Intensive Courses:; Choose 4 to 6 credits from the following; Research and Internship:; Choose 2 to 6 credits from the following; At Least One Unique Course from Each Group Below:; Kinetics; Quantum; Condensed Matter; Soft Matter; Properties, Characterization, and Applications (PCA)
Gen Ed Requirements for Biology Majors (BA) (41-47 credits total)2 required · verify with the official sheet
UToledo Core Curriculum (Skills, Distributive and Multicultural) 36-42 credits total; Arts and Humanities (2 disciplines); Social Sciences (2 disciplines); Natural Sciences (2 electives, 1 with lab) 6 credits; Electives from MATH or Distributive Category (9 credits); One Multicultural: Non U.S. Diversity (0~3 credits); One Multicultural: U. S. Diversity (0~3 credits); Other Gen Ed courses required
Upper-level clusters, grouped by the gateway that opens them.
The deepest prerequisite chains in MATH. These are the routes that take the most semesters to climb.
7 courses deep, ending at MATH 4610
6 courses deep, ending at MATH 4550
6 courses deep, ending at MATH 4720
6 courses deep, ending at MATH 4770
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Recommended Introductory Physics Course1 required
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Required non-Biology Courses2 required · verify with the official sheet
Courses required for the BS-BIOL Neuroscience concentration (15 credits); or any 4000 NSCI course; Students in the Neuroscience Concentration need to take BIOL 4700 in a section with a neuroscience focus; but that is usually offered only one semester a year.; Electives to complete 120 credit hours (14~20 credits depending on the GenEd courses taken); No classes used to satisfy the requirements of
UT Core Curriculumall required
Composition I and II; Mathematics; Natural Sciences; Humanities and Fine Arts; Social Sciences; UT Core Electives; Multicultural; Additional Electives to reach 120 credit hours
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Optional Concentration in Data Analytics in Economicsall required
To earn the concentration in data analytics in economics, students must complete 12 credits from the following elective courses as part of their major:; OR a substitution of one 3/4000 economics elective that includes a required data analysis component chosen in consultation with the economics undergraduate advisor.
BA in Biology Major Course Requirements (30 credits total)2 required · verify with the official sheet
College of NSM Degree Requirements:; Required Biology Courses:; One WAC course within the Program (3 cr hrs); An additional 11 hours of 3000- or 4000-level Biology courses; A maximum of 3 credit hours of BIOL 4910 not applied to Departmental Honors may be used to fulfill the advanced elective credits; Required Related Courses:
Required courses for the Neuroscience Concentration (15 credits)all required
A concentration in neuroscience is available to students pursuing a BA in Biology. Students must apply the following courses towards their BA in Biology degree:; Students in the Neuroscience Concentration need to take BIOL 4700 and BIOL 4910 / INDI 4000 in sections with a neuroscience focus; BIOL4700 (neuroscience focus) is usually offered only one semester a year.
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Electives to bring total credits to 120 (28~34 credits depending on GenEd courses taken)15 required
No classes used to satisfy the requirements of the Biology major may be taken P/NC with the exceptions of BIOL 4910 , BIOL 4950 , and BIOL 4990 .
All MATH courses in the Toledo catalog
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Mathematics does not run a page here yet. When it does, its events show up here and on the Toledo campus feed.