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< College of Liberal Arts and SciencesMathematics
Mathematics is a broad discipline that contains a range of areas of specialization within it. The required courses in Part I provide fundamental background for mathematics in general. The options in Part II allow the student to broaden this background or begin to specialize. Students must complete Part I and an option from Part II.
An entering student in mathematics should have academic preparation to enroll in MATH 120 during the first semester. Admission to MATH 120 requires a passing grade on the mathematics placement test. A student should attain grades of B in calculus in order to complete the advanced courses successfully.
The Department of Mathematics sponsors the Mathematics major and minor, the Mathematics teaching option, the Actuarial Science major, and a major in Mathematics and Computer Science in coordination with the Department of Computer Science.
Major in Sciences and Letters Curriculum
E-mail: OFFICE@math.uiuc.edu
Web address for most current program requirements:
http://www.las.uiuc.edu/students/programs/MATH/f_MATH.shtmlDegree title: Bachelor of Science in Liberal Arts and Sciences
Minimum required major and supporting course work normally equates to 52-61 hours including 27 hours beyond calculus, 10-12 hours of calculus, and 3 hours of computer science.
General education: The LAS General Education requirements are set up so students automatically complete the Campus General Education requirements.
Minimum hours required for graduation: 120 hours
Departmental distinction: Distinction will be awarded on the basis of selection of 300-level courses in mathematics and the grade point average. Graduation with High Distinction or Highest Distinction in Mathematics requires participation in the Mathematics Honor Program.
Part I
HOURS REQUIREMENTS 10-12 Calculus through one of the following: MATH 242-Calculus of Several Variables MATH 243-Multivariable Calculus and Vector Analysis MATH 245-Calculus, II; or equivalent 3 MATH 247-Fundamental Mathematics 3 Select one of the following: MATH 315-Linear Transformations and Matrices MATH 318-Introduction to Linear Algebra 3 Select one of the following: MATH 344-Elementary Real Analysis MATH 347-Introduction to Higher Analysis: Real Variables 3-4 Select one of the following: MATH 361-Introduction to Probability Theory, I MATH 363-Introduction to Mathematical Statistics and Probability, I 3 Select one of the following: C S 101-Introduction to Computing for Application to Engineering and Physical Science1 C S 125-Introduction to Computer Science 12 Approved supporting course work or any minorPart II: Options
Each student must fulfill the requirements of PART I and one of the following options:
Mathematics Option
HOURS REQUIREMENTS 3 Select one of the following: MATH 317-Introduction to Abstract Algebra MATH 353-Elementary Theory of Numbers 3 Select at least one from: MATH 302-Topics in Geometry MATH 303-Advanced Aspects of Euclidean Geometry MATH 323-The Calculus of Curves and Surfaces MATH 381-Vector and Tensor Analysis 9 Three additional advanced mathematics courses2Graduate Preparatory Option
HOURS REQUIREMENTS 6 MATH 317-Introduction to Abstract Algebra MATH 318-Introduction to Linear Algebra 3 Select one of the following: MATH 323-The Calculus of Curves and Surfaces MATH 332-Introduction to Set Theory and Topology 3 MATH 347-Introduction to Higher Analysis: Real Variables 3 Select one of the following: MATH 346-Complex Variables and Applications MATH 348-Introduction to Higher Analysis: Complex Variables 6 Two additional advanced mathematics courses2Applied Mathematics Option
HOURS REQUIREMENTS 3 MATH 341-Differential Equations 3 Select one of the following: MATH 257-Numerical Methods MATH 342-Fourier Series and Boundary Value Problems MATH 385-Differential Equations, II 3 Select one of the following: MATH 312-Graph Theory and Its Applications MATH 313-Combinatorial Mathematics MATH 317-Introduction to Abstract Algebra MATH 353-Elementary Theory of Numbers 3 Select one of the following: MATH 346-Complex Variables and Applications MATH 348-Introduction to Higher Analysis: Complex Variables 3 One additional advanced mathematics course2Operations Research Option
HOURS REQUIREMENTS 3 MATH 257-Numerical Methods 3 Select one of the following: MATH 312-Graph Theory and Its Applications MATH 313-Combinatorial Mathematics 4 MATH 363-Introduction to Mathematical Statistics and Probability, I 3 Select one of the following: MATH 364-Introduction to Mathematical Statistics and Probability, II MATH 369-Methods of Applied Statistics 3 MATH 383-Linear Programming 3 MATH 384-Nonlinear ProgrammingMathematics Teaching Option
This option offers training for teachers of high school mathematics. A student must maintain University of Illinois and cumulative grade point averages of 2.5. In addition, a student must maintain 2.5 averages in mathematics courses both at the University of Illinois and cumulatively.
General education: Students must consult their program and teacher education advisers for current general education requirements.
Departmental distinction: A subcommittee of the Mathematics Area Committee will select students for distinction based upon grades in the mathematics, overall grade point average, and evidece of accomplishment in the teaching portion of the program.
Prerequisites to transfer to the Teaching Option: EDPSY 211, E P S 201, MATH 120, 130, 242 (or MATH 135 and 245; or MATH 243), and three advanced mathematics courses must be completed prior to transfer into the teaching option.
In addition to the requirements listed below, students must complete the Teacher Education Minor in Secondary School Teaching (36 hours). See the College of Education section for requirements of the minor. Conferral of the degree of Bachelor of Science in Liberal Arts and Sciences prior to completion of the minor requires approval by petition to the LAS Student Affairs Office. While it is possible to complete this program in eight semesters, many students may require an extra semester or two.
Hours Requirements 10-12 Calculus through one of the following: MATH 242-Calculus of Several Variables MATH 243-Multivariable Calculus and Vector Analysis MATH 245-Calculus, II; or equivalent 3 MATH 247-Fundamental Mathematics 3 Select one of the following: MATH 315-Linear Transformations and Matrices MATH 318-Introduction to Linear Algebra 3 Select one of the following: MATH 344-Elementary Real Analysis MATH 347-Introduction to Higher Analysis: Real Variables 3-4 Select one of the following: MATH 361-Introduction to Probability Theory, I MATH 363-Introduction to Mathematical Statistics and Probability, I 3 Select one of the following: C S 101-Introduction to Computing for Application to Engineering and Physical Science C S 125-Introduction to Computer Science 3 Select one of the following: MATH 302-Topics in Geometry MATH 303-Advanced Aspects of Euclidean Geometry 3 Select one of the following: MATH 317-Introduction to Abstract Algebra MATH 353-Elementary Theory of Numbers 9 Three additional advanced mathematics coursesFor All Options
Twelve hours advanced-level (300- and approved 200-level) courses in the major must be taken on this campus.
All foreign language requirements must be satisfied.
A Major Plan of Study Form must be completed and submitted to the LAS Student Affairs Office before the end of the fifth semester (60-75 hours). Please see your adviser.
1. Students with 2 hours credit in C S 101 must take C S 110
2. MATH 247, 280, 285, 286, and all 300-level mathematics courses are advanced courses. In the Applied Mathematics and Operations Research options MATH/C S 257 will be accepted as a substitute for an advanced course in this major.
Minor in Mathematics
E-mail: OFFICE@math.uiuc.edu
Web address for most current program requirements:
http://www.las.uiuc.edu/students/programs/MATH/f_MATH.shtmlHOURS REQUIREMENTS 3-12 Calculus through one of the following MATH 242-Calculus of Several Variables MATH 243-Multivariable Calculus and Vector Analysis MATH 245-Calculus, II 15 Courses chosen from at least two of the following five lists of courses Algebra: MATH 315-Linear Transformations and Matrices MATH 317-Introduction to Abstract Algebra MATH 318-Introduction to Linear Algebra MATH 321-Symbolic Algebra MATH 353-Elementary Theory of Numbers Discrete Mathematics: MATH 312-Graph Theory and Its Applications MATH 313-Combinatorial Mathematics MATH 314-Introduction to Mathematical Logic MATH 382-Linear Programming and Combinatorial Optimization MATH 383-Linear Programming Analysis: MATH 280-Advanced Calculus MATH 285-Differential Equations and Orthogonal Functions MATH 286-Differential Equations with Linear Systems and Orthogonal Functions MATH 341-Differential Equations MATH 342-Fourier Series and Boundary Value Problems MATH 344-Elementary Real Analysis MATH 346-Complex Variables and Applications MATH 347-Introduction to Higher Analysis: Real Variables MATH 348-Introduction to Higher Analysis: Complex Variables MATH 350-Numerical Analysis: A Comprehensive Introduction MATH 384-Nonlinear Programming MATH 385-Differential Equations, II Geometry: MATH 302-Topics in Geometry MATH 303-Advanced Aspects of Euclidean Geometry MATH 323-The Calculus of Curves and Surfaces MATH 332-Introduction to Set Theory and Topology MATH 381-Vector and Tensor Analysis Probability and Statistics: MATH 361-Introduction to Probability Theory, I MATH 363-Introduction to Mathematical Statistics and Probability, I MATH 364-Introduction to Mathematical Statistics and Probability, II MATH 366-Introduction to Probability Theory, II 18 Minimum total hours requiredTeacher Education Minor in Mathematics
For students in teacher education curricula other than mathematics who wish to be qualified to teach mathematics at the high school or middle school level.
E-mail: OFFICE@math.uiuc.edu
Web address for most current program requirements:
http://www.las.uiuc.edu/students/programs/MATH/f_MATH.shtmlHOURS REQUIREMENTS TO TEACH MATHEMATICS IN GRADES 9-12 8 MATH 120-Calculus and Analytic Geometry, I MATH 130-Calculus and Analytic Geometry, II; or equivalent 3 Methods courses in the teaching of mathematics: C & I 399-Section TSM 14 At least 14 hours of work including the following: MATH 242-Calculus of Several Variables MATH 302-Topics on Geometry 8 Courses from at least two areas other than applied mathematics and geometry, to be chosen from the following list: Computer Science: C S 101-Introduction to Computing for Application to Engineering and Physical Science C S 105-Introduction to Computing with Application to Business and Commerce Linear Algebra: MATH 125-Elementary Linear Algebra with Applications MATH 225-Introductory Matrix Theory MATH 283-Linear Programming MATH 315-Linear Transformations and Matrices Modern Algebra: MATH 313-Combinatorial Mathematics MATH 317-Introduction to Abstract Algebra MATH 353-Elementary Theory of Numbers Advanced Aspects of Euclidean Geometry: MATH 303-Advanced Aspects of Euclidean Geometry Applied Mathematics: MATH 247-Fundamental Mathematics MATH 280-Advanced Calculus MATH 285-Differential Equations and Orthogonal Functions MATH 341-Differential Equations MATH 344-Elementary Real Analysis MATH 346-Complex Variables and Applications Probability-Statistics: STAT 310/MATH 363-Introduction to Mathematical Statistics and Probability, I History of Calculus: MATH 306-History of Calculus HOURS REQUIREMENTS TO TEACH MATHEMATICS IN GRADES 6-8 3 Select one of: C & I 330-S-Principles and Practices in Mathematics Education or C & I 331-Teaching Elementary Mathematics 15 Courses from at least four of the following areas: Math For Elementary Teachers: MATH 117-Experimental Mathematics MATH 203-Theory of Arithmetic Calculus: MATH 120-Calculus and Analytic Geometry, I MATH 130-Calculus and Analytic Geometry, II Modern Algebra: MATH 313-Combinatorial Mathematics MATH 317-Introduction to Abstract Algebra MATH 353-Elementary Theory of Numbers Topics on Geometry: MATH 302-Topics in Geometry Computer Science: C S 101-Introduction to Computing for Application to Engineering and Physical Science Probability-Statistics: STAT 100/MATH 161-Statistics STAT 310/MATH 363-Introduction to Mathematical Statistics and Probability, I History of Mathematics: MATH 306-History of CalculusStudents are advised that additional course work is necessary to teach in grades six through eight. Consult the certification officer in 130 Education Building for additional information.