Mathematics Student Handbook 2015-‐‑2016
Mathematics Department
http://www.sxu.edu/academics/colleges_schools/cas/dept/math/
Welcome
From Left to Right: Dr. Dagys, Dr. Hardy, Dr. Murawska, Mrs. Petkus, Dr. Schreck, Dr. Becker, Dr. Wazwaz, Dr. Mojiri
Welcome and congratulations on your acceptance to the department of mathematics at Saint Xavier University. We are pleased that you will be joining us, and we look forward to working with you. Not only is mathematics the fundamental tool in understanding science, but it is also an interesting and beautiful subject in its own right. We are happy to be part of your journey in learning about mathematics and committed to making it a successful one for you. As a mathematics major, you are expected to attend special events and lectures sponsored by the department and Archimedeans Math club. Here are some of these events: • Math and Greet Event on August 28 from 12:00-2:00. • Mathematics Colloquiums – Dates to be determined. • Senior Seminar Presentations in the fall (on November 21) and spring. • Career Night Event organized by Math Club - Date to be determined. • ACCA Calculus Competition will be held in April. If you have any questions feel free to contact me at
[email protected].
Wishing you all a productive and enjoyable year, Ahmad Mojiri Associate Professor and Chair Department of Mathematics Saint Xavier University
Mission
Mathematics is an integral part of a liberal arts education and is the foundation for many areas of study. The Mathematics Department, in advancing the vision of the University, performs different roles in fulfilling its mission to discover and communicate mathematical knowledge. The Mathematics Department faculty are dedicated to excellence in teaching, scholarship, innovative activities, and professional and community service. The Department is committed to the following goals: • Prepare mathematics students for leading roles in business, computer science, actuarial science, industry, government, and teaching or for graduate programs by offering a full range of undergraduate courses that build a strong foundation in the mathematical methods. • Create challenging general education and service courses that cultivate critical thinking, effective communication, and collaboration to ensure students acquire the quantitative methods needed in their chosen field of study. • Develop students’ analytical skills, creative problem-‐‑solving approaches, and the ability to logically communicate complex ideas which in turn will foster lifelong learning and application to their field of endeavor. • Engage students in significant independent research experiences and explore interdisciplinary applications of mathematics. • Provide a supportive learning environment in which students can develop to their maximum potential. • Employ state of the art educational technologies in the teaching and learning of mathematics. • Uphold the teacher-‐‑student relationship tenets of mutual respect, integrity, justice, and fairness.
Faculty Barbara Becker, Associate Professor of Mathematics D.A. in Mathematics, Illinois State University M.S. in Mathematics, Illinois State University B.A. in Mathematics and Business Administration, North Central College Research and Teaching Interests: Precalculus, Calculus, Discrete Mathematics, Abstract Algebra, Educational Technologies Arunas Dagys, Professor of Mathematics D.A. in Mathematics, University of Illinois at Chicago M.S. in Mathematics, University of Illinois at Chicago B.S. in Mathematics, University of Illinois at Chicago Research and Teaching Interests: Developmental Mathematics, Multivariable Calculus, Advanced Calculus, Probability and Statistics, Educational Technologies, Post-Secondary Mathematics Education
Michael Hardy Ph.D. in Mathematics Education, Florida State University M.S. in Mathematics, University of Oklahoma B.S. in Mathematics with Teacher Certification, University of Oklahoma Research and Teaching Interests: Process of teacher change, Teachers' beliefs and the process through which mathematics teachers learn to infuse technology into their pedagogy Ozgul Kartal PhD Candidate, Mathematics Education, Illinois Institute of Technology M.S. in Applied Mathematics, Illinois Institute of Technology M.S. in Applied Mathematics, University of Johannesburg, Republic of South Africa B.A. in Mathematics, Middle East Technical University, Turkey Ahmad Mojiri, Associate Professor of Mathematics and Chair Ph.D. in Mathematics, University of Ottawa, Canada M.Sc. in Mathematics, Isfahan University of Technology, Iran B.Sc. in Mathematics, Isfahan University of Technology, Iran Research and Teaching Interests: Algebras, Ring Theory, Linear Algebra, History of Mathematics, Modern Geometry Jaclyn Murawska, Assistant Professor of Mathematics Ed.D. in Curriculum Leadership, Cognate in Mathematics, Northern Illinois University M.S.T. in the Teaching of Mathematics, University of Illinois at Chicago B.S. in the Teaching of Mathematics, University of Illinois at Urbana-Champaign Research and Teaching Interests: Mathematical knowledge for teaching, constructivism, place value, productive struggle, teachers’ beliefs, mathematical habits of mind Patricia Petkus, Lecturer M.S. Ed in Secondary Education, Saint Xavier University B.S. in Mathematics, Northern Illinois University Research and Teaching Interests: Developmental Mathematics Programs Kristen Schreck, Assistant Professor of Mathematics D.A. in Mathematics, University of Illinois at Chicago M.S. in Mathematics, University of Illinois at Chicago B.S. in Electrical Engineering, Illinois Institute of Technology Research and Teaching Interests: Multivariable Calculus, Advanced Calculus, Linear Algebra, Differential Geometry and its Applications, Inquiry Based Learning, History of Mathematics, Using Technology in the Teaching of Mathematics Abdul-‐‑Majid Wazwaz, Professor of Mathematics Ph.D. in Applied Mathematics, University of Illinois at Chicago M.S. in Mathematics, Western Illinois University, Macomb, Illinois B.Sc., Cairo University Research and Teaching Interests: Applied Mathematics, Numerical Analysis, Differential and Integral Equations, Solitary Waves Theory
Adjunct Faculty Ronald Cygan Ellen V. Deinzer Master of Science in Mathematics, Loyola University Bachelor of Science in Mathematics, Lewis University Dorothy Groff Alojz Jurcik Michael LeLand Master of Arts in Mathematics, Eastern New Mexico University Bachelor of Arts in Mathematics, Bethany College, Kansas Teaching Interests: Theory of Interest, Actuarial Science Renard Narcaroti Randy Sherwood Master of Science in Mathematics (concentration in Statistics), Western Illinois University Bachelor of Science in Mathematics, Saint Xavier University Kurt Sheu Ph.D. in Statistics, University of Illinois at Urbana-Champaign Master of Art in Mathematics, Eastern Illinois University Bachelor of Science in Mathematics, Kaohsiung Normal University Christopher Riola
Teaching Assistants James Clark Currently pursuing a M.S. in Mathematics at Governor's State University B.A. in Mathematics, University of St. Francis Kimberly Mientkiewicz M.Ed. in Adult and Higher Education with Mathematics Concentration, Grand Valley State University B.A. in Mathematics Secondary Education, Western Michigan University
Office Manager Jaclyn Radochonski
About Our Department The Mathematics Department at SXU strives to build a strong sense of community among faculty and undergraduate students in exploring the beauty and importance of mathematics. Our faculty members are dedicated to excellence in teaching and scholarship. The broad range of faculty research interests in mathematics and mathematics education includes: abstract algebra, applied mathematics, solitary waves theory, developmental mathematics, differential geometry, discrete mathematics, history of mathematics, numerical analysis, probability and statistics, representation theory of finite dimensional algebras, mathematical knowledge for teaching, and processes by which mathematics teachers incorporate technology into their teaching. The faculty in the department is committed to the use of technology to enhance understanding of mathematical concepts and develop mathematical skills. Computers and hand-held calculators are integrated into coursework in mathematics courses. Note: Calculators are required in all mathematics courses. Please see the course listing for the appropriate calculator. Mathematics majors qualify for careers in business, industry, government and teaching. Our graduates are employed as actuaries, statisticians and in other positions at firms such as Allstate, Fidelity, Spencer Stuart and with the U.S. federal government. Graduates are pursuing and have pursued advanced degrees at DePaul University, University of Illinois at Chicago, Ohio State, Loyola University Chicago, Western Illinois University, Midwestern University and others.
Senior Seminar The purpose of the senior seminar is to provide a culminating experience in mathematics for Mathematics majors and Mathematics Secondary Education majors. The student will conduct research on an advanced topic with guidance from a faculty mentor, prepare a paper, and give a presentation based on the research to faculty and students of the Mathematics Department.
Archimedeans Math Club The purpose of the organization is: • to promote an interest and an awareness of mathematics throughout the SXU community. • to provide a social and intellectual environment to all students interested in mathematics. • to engage in extra-curricular mathematical-related activities. • to expose students to interesting topics in mathematics that they would not normally encounter in the classroom. • to invite guests to speak to the club on mathematics topics and career options in math.
Math Club meetings are open to all SXU students and meetings are bi-weekly. Members are encouraged to suggest and/or organize activities. Please contact any of the Math Club Officers with your ideas or questions. The 2015-2016 Math Club Officers President: Mahmoud Othman Vice President: Courtney Correa Secretary: Alex Mendoza Treasurer: Kenny Martinez Advisors: Dr. Schreck Activities for the Academic Year Math Game Day, Pi Day and Career Day, Calculus competition, A fun environment for solving math problems and puzzles, Study groups, access to math software, textbooks and magazines, End of the year Math Movie Night and pizza party
ACCA Calculus Competition The ACCA (Associated Colleges of the Chicago Area) Calculus Competition is a team competition administered locally at each school in the ACCA consortium. The competition consists of problems from all topics from Calculus I through Multivariable Calculus.
Math Tutoring Center Tutoring is available for students in all MATH 090-level, MATH 100-level, MATH 201 (Calculus I), and MATH 202 (Calculus II) courses in the Math Classroom and Computer Lab located in Warde S-102 and in the Learning Center located in Warde L-108. All tutoring and computer access is free and available on a walk-in basis. No appointments are necessary. Students may come with specific questions for assistance or just to have a quiet place to work. Computers are available for completing assignments that use WebAssign, MyMathLab, MyStatLab, Minitab, Maple and Geometer's Sketchpad. Tutors are teaching assistants or mathematics majors who have completed at least two semesters of coursework and usually more than 16 credit-hours of mathematics courses.
Major Programs of Study I. Mathematics Major Students who major in mathematics are prepared for entry into graduate schools and for entry into business and industrial positions which require a bachelor's degree in mathematics; they also fulfill the subject area requirements for teaching mathematics in the secondary school. Courses in computer science, natural science, physics and business may be elected to complement the major in mathematics. Students majoring in mathematics have the choice of a bachelor of arts degree or a bachelor of science degree.
Requirements for a Mathematics Major Students majoring in mathematics have the choice of a bachelor of arts or a bachelor of science degree. 1. Required mathematics courses (31 credit hours) The following courses are required for both B.A. and B.S. degree candidates: • • • • • • • • •
MATH 200: Introduction to Discrete Mathematics (4) MATH 201: Calculus with Analytic Geometry I (4) MATH 202: Calculus with Analytic Geometry II (4) MATH 203: Calculus with Analytic Geometry III (4) MATH 211: Linear Algebra (4) MATH 301: Advanced Calculus (4) MATH 305: Probability and Statistics I (3) MATH 306: Probability and Statistics II (3) MATH 399: Senior Seminar (1)
2. Application area (6-10 credit hours) Two courses in an application area are required for both B.A. and B.S. degree candidates. Possible application areas include Computer Science, Physics (calculus based), Business, and others by petition. Departmental approval is required. 3. Elective courses B.A. candidates must select 2 courses (6 credit hours) and B.S. candidates must select 5 courses (15 credit hours) from the 300-level mathematics elective courses. 4. Students pursuing the B.A. in mathematics must complete 6 credit hours of foreign language, foreign culture, or global studies courses or a combination of these, as part of the university general education requirements. 5. Students planning to attend graduate school are strongly encouraged to complete the requirements for a B.S. degree. 6. A grade of C or better is required in all courses counting toward the major. 7. Majors in the Department of Mathematics are expected to attend special events and lectures sponsored by the department. The following is a suggested four-year plan and may not apply to all students. Mathematics majors are strongly recommended to meet their advisors at least once a semester. Suggested Curriculum for a Bachelor of Science in Mathematics Fall Spring Freshman MATH 200: Discrete Math 3 MATH 202: Calculus II MATH 201: Calculus I 4 MATH 211: Linear Algebra ENG 120 3 Psychology 101 COMM 101 3 First year Seminar Lit/Fine Arts Course 1 3 Philosophy 140 Trans. 100 1
4 4 3 3 3
Total Semester Hours 17 Sophomore MATH 203: Calculus III 4 Application Area Course 1 3 Free Elective 1 3 Biology with lab 4 Health/Physical Develop 2
Total Semester Hours 17 MATH 301: Advanced Calculus Math Elective 1 Application Area Course 2 Free Elective 2 Philosophy Course
Total Semester Hours 16 Junior MATH 305: Probability and Statistics I Math Elective 2 Free Elective 3 US History Lit/Fine Arts Course 2
3 3 3 3 3
4 3 3 3 3
Total Semester Hours 16 MATH 306: Probability and Statistics II Math Elective 3 Free Elective 4 Psychology 201 Religious Studies Course 1
Total Semester Hours 15
3 3 3 3 3
Total Semester Hours 15
Senior Math Elective 4 Free Elective 5 History Elective Social Science Course Physical Science
3 3 3 3 3
Total Semester Hours
15 Total Semester Hours
MATH 399: Senior Seminar Math Elective 5 History Elective Religious Studies Course 2 US Government
1 3 3 3 3 13
II. Mathematics with Secondary Education Major Students seeking to teach mathematics at the secondary (9-12) level, should pursue a Mathematics with Secondary Education (Math/SED) major. Accordingly, students in that major must fulfill both the requirements for a bachelor of science degree in mathematics and the requirements for licensure to teach secondary mathematics. Math/SED majors have the option to earn either a bachelor of science or a bachelor of arts degree. However, in light of the nature of the mathematics content requirements that prospective secondary mathematics teachers must satisfy, and the mathematics background preferred for graduate school admission, the department strongly recommends that such degree candidates pursue the Bachelor of Science degree.
Requirements for a Mathematics Major Preparing to Teach at the Secondary Level (6-12 Certification) Students preparing to teach mathematics at the secondary level have the choice of a bachelor of arts degree or a bachelor of science degree. 1. Required mathematics courses (40 credit hours) The following courses are required for both B.A. and B.S. degree candidates:
• • • • • • • • • • • •
MATH 200: Introduction to Discrete Mathematics (4) MATH 201: Calculus with Analytic Geometry I (4) MATH 202: Calculus with Analytic Geometry II (4) MATH 203: Calculus with Analytic Geometry III (4) MATH 211: Linear Algebra (4) MATH 301: Advanced Calculus (4) MATH 305: Probability and Statistics I (3) MATH 306: Probability and Statistics II (3) MATH 307: Modern Geometry (3) MATH 308: History of Mathematics (3) MATH 309: Abstract Algebra I (3) MATH 399: Senior Seminar (1)
2. Application area (6-10 credit hours) Two courses in an application area are required for both B.A. and B.S. degree candidates. Possible application areas include Computer Science, Physics (calculus based), Business and others by petition. Departmental approval is required. 3. Elective courses B.S. candidates must select 2 courses (6 credit hours) from the 300-level mathematics elective courses. 4. Students pursuing the B.A. in mathematics must satisfy the general education requirements by taking 6 credit hours of foreign language, or foreign culture, or global studies courses or a combination of these. 5. Students must be admitted to the School of Education Secondary Education Program. 6. Students planning to attend graduate school are strongly encouraged to complete the requirements for a B.S. degree. 7. A grade of C or better is required in all courses for the major, all general education courses, and all professional education courses, and students must maintain a minimum cumulative GPA of 2.5. Consult the School of Education section of the catalog for specific requirements and procedures. It is the responsibility of each student to ascertain and fulfill the requirements for the desired degree program. The major advisor will assist the student in this responsibility. 8. Majors in the Department of Mathematics are expected to attend special events and lectures sponsored by the department. Suggested Curriculum for a Bachelor of Science in Mathematics with Secondary Education Major Freshman – Semester 1 Math 200 4 Math 201 4 English 120 3 Communication 101 3 Lit/Fine Arts Course 1 3 (Diversity &/or global studies if possible) Trans. 100 (Fr. Sem.) 1 Total Sem. Hrs. 18
Freshman – Semester 2 Math 202 4 Math 211 4 Psychology 101 3 First Year Seminar 3 (Diversity &/or global studies if possible) Philosophy 140 3 Total Sem. Hrs. 17
Pass Test of Academic Proficiency (Test 400) & Complete Finger Printing/Background check via School of Educ. The fingerprinting/background check will be conducted as part of EDU 200. Enrollment in EDU 200 requires enrollment in EDULB 200. Application to the School of Education will be automatically processed when you enroll in EDU 200. EDU 200 meets the interdisciplinary seminar requirement in the general education curriculum. Note that you must also have six credit hours of coursework that is classified as diversity studies and six credit hours of coursework that is classified as global studies in order to graduate. In order minimize the number of courses you have to take, you should choose literature/fine arts, first year seminar and religious studies courses so that they meet that requirement. Math 308 meets 3 hrs of the global studies requirement and EDU 323 meets 3 hrs of the diversity studies requirement. Sophomore – Semester 1 Sophomore – Semester 2 Math 203 4 Math 301 4 Education 200 3 Philosophy Course 3 (counts as an interdisciplinary seminar) Health/Physical Develop. 2 Education 202 3 (5 observation hours) Education 377 3 (15 observation hours) Psychology 201 3 Physical Science 3 Biology with a lab 4 Application Area Course I 3 Total Sem. Hrs. 17 Total Sem. Hrs. 18 Note, Level 2 courses may not be taken prior to being admitted to the School of Education; although, once admitted to the SOE, Level 1 & 2 courses may be taken concurrently. Sophomore – Summer U. S. History 3 U.S. Government 3 Total Sem. Hrs. 6 Junior – Semester 1 Junior – Semester 2 Math 305 3 Math 306 3 Math 309 3 Math 307 3 Math Elective 1* 3 Math Elective 2* 3 Education 323 3 Lit./Fine Arts Course 2 3 (5 observation hours; counts as a diversity studies course) (A different area than Lit/FA 1; Div. or global if possible) Education 397 3 (15 observation hours) Application Area Course II 3 Religious Studies Course 1 3 Education 370 3 (30 observation hours) (Diversity &/or global studies if possible) Total Sem. Hrs. 18 Total Sem. Hrs. 18 Begin taking the content area exam (test 115) late in the semester in which you take Math 305. Apply for student teaching 1 year prior to student teaching. Fall applications must be submitted between Sept. 1 and Oct. 1, and Spring applications between Jan. 1 and Feb. 1. If you need to withdraw from or delay student teaching, a letter explaining why must be submitted to the Director of Student Teaching and to the Mathematics Department. If you wish to student teach at a later date, then that date must be noted in the letter. You will have to pass the Educator’s Symposium again in the semester prior to your rescheduled student teaching. Junior Summer Education 359 3 (only if you want a middle level math endorsement) Total Sem. Hrs. 3 Senior – Semester 1 Senior – Semester 2 Math 308 3 (counts as a global studies course) Education 345 2 Math 375 3 (30 observation hours) Education 349 6 Math 399 1 Total Sem. Hrs. 8 Religious Studies Course 2 3 (Diversity &/or global studies if possible) Social Science Course 3 History Elective 3 (Global studies if possible) Total Sem. Hrs. 16
Apply for graduation the semester before you intend to graduate. Take the APT (Test 103) after taking Math 375; Register for the Educators’ Symposium early in the semester before you want to student teach; you will need to successfully complete the Educators’ Symposium (including a presentation of your current webfolio) before you may student teach. You must have a GPA in the concentration area of at least 2.5to student teach or to apply to student teach. For the B.A. degree option, substitute foreign language courses for those marked with a
Math Scholarships I. THE EDWIN J. KEENE SCHOLARSHIP IN MATHEMATICS Established in 1999 by Dr. Carol A. Keene '61 in honor of her father, Edwin J. Keene, this scholarship will be awarded to a student enrolled in the Saint Xavier University Department of Mathematics. Criteria have been determined by the donor and the department chair as follows: • • • • •
Awarded to a student with a declared major in Mathematics (Math) or Mathematics with Secondary Education (Math/SED). Consistent attendance at all mathematics classes. Grades: A minimum GPA of 3.0 per semester in all mathematics classes and a minimum GPA of 3.0 per semester in all other University classes. No withdrawals from any mathematics classes without written consent from the Mathematics Department advisor and the Mathematics Department Chair. Must maintain and complete a full-time academic load: minimum 12 credit hours per semester with the GPA obligations listed above.
The Edwin J. Keene Mathematics Scholarship will be awarded to an entering freshman and will be granted based upon review by a committee of Mathematics faculty members. The applicant must have an ACT mathematics subscore of 27 or a comparable mathematics SAT score, 4 years of high school mathematics with a GPA of 3.5 on a 4.0 scale in the mathematics classes and an overall high school GPA of 3.0 on a 4.0 scale. Interested students should submit a letter of application stating their interests and goals in mathematics along with recommendation letters from two high school teachers to the Mathematics Department at Saint Xavier University. A Keene Mathematics Scholarship recipient will be eligible to renew the scholarship during his/her college career by maintaining a GPA of 3.0 on a 4.0 scale in all mathematics classes and other University classes. If the recipient changes their major from Math or Math/SED, they shall forfeit the scholarship. II. SYLVIA M. SCHLUNK AWARD The Sylvia M. Schlunk Award will be awarded to a student of one of these departments who has demonstrated interest and ability in mathematics and/or computer science. The $1,000 award is given annually and can be applied toward tuition, fees, room and board, or living expenses. The award may also be used as reimbursement of tuition for a summer course.
Students wishing to apply must have: •
•
• • •
A declared major in Mathematics, Mathematics with Secondary Education, Computer Science or Computer Studies and must have completed 75 hours toward graduation by the end of the current semester. Mathematics, Mathematics with Secondary Education, or Computer Science majors must have completed a minimum of 27 semester hours in the major by the end of the current semester. Computer Studies majors must have completed 24 hours in the major by the end of the current semester. Transfer students must have completed or have in progress 12 semester hours in the major at Saint Xavier. Seniors who are completing their final semester in the Fall enrolled in at least 6 semester hours may also apply.
Announcement of the recipient will be made at the School of Arts and Sciences Honors Convocation.
Course Offering MATH 090: Introduction to Algebra (3) *Offered every semester *NOTE: Hours do NOT count toward a degree This course is a support course designed to help students acquire the skill necessary for success in Intermediate Algebra. Topics include a review of: real numbers, linear equations and inequalities, linear functions and graphing, systems of linear equations, exponents, polynomials and factoring. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 099: Intermediate Algebra (3) *Prerequisite: Departmental placement or MATH 090 or its equivalent as determined by the department *Offered every semester *NOTE: Hours do NOT count toward a degree Topics for this course include a review of: polynomials and factoring, rational expressions, functions and graphs, inequalities and absolute value, rational exponents and radicals, quadratic functions, exponential functions and logarithmic functions. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 105: Liberal Arts Mathematics (3) *Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department *Offered every semester *NOTE: Credit hours can NOT be earned for this course if the student is concurrently enrolled or has previous credit for any mathematics course numbered above 105 This course is designed to increase an awareness of and an appreciation for mathematics as a mode of non-literary communication. The student will be introduced to topics selected from, but not limited to: algebra, geometry, calculators and computers, probability and statistics, the mathematics
of social choice, management science, growth and symmetry and the mathematics of finance. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 112: College Algebra (3) *Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department *Offered every semester *NOTE: Students with prior credit for MATH 131 and MATH 132 should take MATH 231 rather than MATH 112 This course uses a modeling approach. Problems that can be solved using linear, polynomial, rational, exponential and logarithmic functions are explored. An introduction to probability theory is included. The graphing calculator is an integral part of this course. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 113: Trigonometry (3) *Prerequisite: MATH 112 or its equivalent as determined by the department *Offered every semester Topics for this course include trigonometric functions and their inverses, identities, trigonometric equations, formulas and solving triangles. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 121: Mathematics Content for Elementary Teachers I [Math for Teachers I] (3) *Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department AND a declared major in Elementary Education or Early Childhood Education *Offered every semester Topics for this course include functions, patterns and problem solving, numeration, operations on natural numbers, whole numbers and integers, rational numbers, number theory and fraction models and operations. The TI-83 plus or TI-84 plus graphing calculator is required. Use of a computer is expected for word processing and access to the Internet. MATH 122: Mathematics Content for Elementary Teachers II [Math for Teachers II] (3) *Prerequisite: MATH 121 with a grade of C or better *Offered every semester Topics for this course include rational and irrational numbers, real numbers, measurement and geometry and probability. The TI-83 plus or TI-84 plus graphing calculator is required. Use of a computer is expected for word processing and access to the Internet. MATH 131: Finite Mathematics (3) *Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department *Offered every semester *NOTE: Registration is prohibited for students with Math 200 credit Topics for this course include review of linear equations and inequalities, introduction to linear programming, set theory, counting techniques, permutations and combinations, probability and applications. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 132: Business Statistics (3) *Prerequisite: MATH 131 or MATH 200 or its equivalent as determined by the department *Offered every semester *NOTE: Credit for this course will not be given to a student who has previously completed MATH 305
Topics for this course include collecting, organizing, analyzing and interpreting data with an emphasis on business applications, descriptive statistics, sampling, probability distributions, estimation, hypothesis testing, introduction to linear regression and correlation analysis. The use of Minitab statistical software is included. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 150: Selected Topics in Elementary Mathematics (Credit Varies) *Prerequisite: See the department chairperson Courses offered on an occasional basis devoted to select elementary mathematics topics. MATH 200: Introduction to Discrete Mathematics (4) *Prerequisite: Three years of high school mathematics and recommendation by the department or MATH 112 *Offered every semester *NOTE: Registration prohibited for students with Math 131 credit Topics for this course include number systems, set theory, logic, methods of proof, combinatorics, discrete probability, relations and functions, matrices, Boolean algebra and recursion. The TI-89 graphing calculator is required. MATH 201: Calculus with Analytic Geometry I (4) *Prerequisite: Including trigonometry, three years of high school mathematics and recommendation by the department or MATH 112 and MATH 113 *Offered every fall Topics for this course include review of: algebraic and trigonometric functions and their graphs, absolute value and inequalities, the concepts of limit and continuity, theory and techniques of differentiating and integrating algebraic and trigonometric functions and applications of differentiation. Maple software is used throughout the course. The TI-89 graphing calculator is required. MATH 202: Calculus with Analytic Geometry II (4) *Prerequisite: MATH 201 or its equivalent *Offered every spring Topics for this course include: derivatives and integrals of transcendental functions, indeterminate forms, improper integrals, techniques and applications of integration, numerical integration, conic sections, parametric equations and polar coordinates. Maple software is used throughout the course. The TI-89 graphing calculator is required. MATH 203: Calculus with Analytic Geometry III (4) *Prerequisite: MATH 202 *Offered every fall Topics for this course include: vectors and vector calculus, analytic geometry in three-space, differentiation of functions of several variables, multiple integration and applications. Maple software is used throughout the course. The TI-89 graphing calculator is required. MATH 211: Linear Algebra (4) *Prerequisite: MATH 200 and MATH 202 or concurrent enrollment in MATH 202 *Offered every spring This course includes elementary concepts of linear algebra, systems of linear equations, vectors and matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors and applications. Maple software is used throughout the course. The TI-89 graphing calculator is required.
MATH 221: Number Theory for Teachers (3) *Prerequisite: MATH 121 and MATH 122 or consent of the instructor This course provides historical overview of number theory. Topics investigated will include: modular systems, basic concepts of factorization and divisibility, algebraic structure of modular systems and remainder tests. Fibonacci numbers and proof by induction is also explored. The place of number theory in the mathematics curriculum in accordance with the NCTM Principles and Standards for School Mathematics is also addressed. Use of a scientific calculator is required. MATH 222: Statistics for Teachers (3) *Prerequisite: MATH 121 and MATH 122 or consent of instructor *Offered every semester This course provides a conceptual approach to statistics and its everyday use. Topics include probabilities, randomness, making and interpreting various types of graphs and tables, organization of data, displaying data, and analyzing and drawing implications from the data. The place in the mathematics curriculum in accordance with the NCTM Principles and Standards for School Mathematics is also addressed. Computers and calculators are integrated into the coursework. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 223: History of Mathematics for Teachers (3) *Prerequisite: MATH 121 and MATH 122 or consent of instructor *Offered fall semesters *NOTE: Credit for this course will not be given to a student who has previously completed MATH 308 This course provides historical perspective of the development of mathematics with emphasis on the multicultural dimension in the Egyptian, Babylonian and Greek periods. Students will do some of the elementary mathematics developed in ancient times, and learn to appreciate mathematics as a product of human effort. MATH 224: Geometry for Teachers (3) *Prerequisite: MATH 121 and MATH 122 or consent of instructor Topics for this course include: exploration of geometric ideas through activities involving concrete materials and computers, an awareness of geometry in the environment, and appreciation of geometry in history and culture, types of geometry and experience in performing conjectures and testing hypotheses. Provides students with the ability to develop, teach, and implement a program in geometry in the middle school/junior high school curriculum in accordance with the NCTM Principles and Standards for School Mathematics. MATH 231: Calculus for Business and the Social Sciences (3) *Prerequisite: Departmental placement or MATH 112 or MATH 131 This course is recommended for business and social science majors seeking the B.S. degree. Topics include: functions, derivatives of algebraic, exponential and logarithmic functions, optimization, techniques of integration, various applications from business and the social sciences. The TI-83 plus or TI-84 plus graphing calculator is required. MATH 250: Selected Topics in Mathematics Education (Credit Varies) *Prerequisite: See the department chairperson Courses offered on an occasional basis devoted to select mathematical education topics. MATH 301: Advanced Calculus (4) *Prerequisite: MATH 202 *Offered every spring
Topics for this course include: convergence, sequences, indeterminate forms, improper integrals, infinite series, Taylor and Fourier Series, applications, functions defined by integrals, the gamma and beta functions. Maple software is used throughout the course. The TI-89 graphing calculator is required. MATH 303: Differential Equations (3) *Prerequisite: MATH 301 or concurrent enrollment in MATH 301 or consent of the instructor *Offered every spring Topics for this course include: differential equations of first order, second order, and higher order linear differential equations, non-homogeneous equations; power series solutions to linear differential equations, numerical methods for solving linear and nonlinear differential equations. Maple software is used throughout the course. The TI-89 graphing calculator is required. MATH 305: Probability and Statistics I (3) *Prerequisite: MATH 301 *Offered every fall Topics for this course include: concepts of probability, Bayes' Rule, expectation, discrete distributions, binomial, hypergeometric, Poisson, geometric, multinomial, normal, uniform, and exponential density functions and joint probability densities. The use of Minitab statistical software is included. The TI-89 graphing calculator is required. MATH 306: Probability and Statistics II (3) *Prerequisite: MATH 305 *Offered every spring This course is a continuation of MATH 305 concerned with data description, sampling distributions, curve fitting, inferences dealing with means, variances and proportions. The emphasis will be on applications. Time permitting, applications will be extended to areas such as reliability, life testing and quality assurance. The use of Minitab statistical software is included. The TI-89 graphing calculator is required. MATH 307: Modern Geometry (3) *Prerequisite: One year of high school geometry and completion of MATH 202 and ENGL 102/ENGL 120 *Offered every spring Topics for this course include: the foundations of geometry as a mathematical system, elementary logic, advanced constructions, historical background and basic concepts of finite and infinite Euclidean and non-Euclidean geometries; cross ratio, affine and projective planes; the theorems of Ceva, Menelaus, Desargues, Pascal and Pappus. MATH 308: History of Mathematics (3) *Prerequisite: MATH 202 *Offered every fall *NOTE: Credit for this course will not be given to a student who has previously completed MATH 223 This course provides historical perspective of the development of mathematics with emphasis on the multicultural dimension from ancient to modern times. Students will do problems in the methods of the ancients and compare to modern solutions and learn to appreciate mathematics as a product of human effort. Historical development of calculus and other modern mathematical areas will be studied.
MATH 309: Abstract Algebra I (3) *Prerequisite: MATH 211 *Offered every fall Topics for this course include: integers, groups, subgroups, cosets, homomorphisms, permutation groups, rings, subrings, integral domains and fields. MATH 315: Numerical Analysis (3) *Prerequisite: MATH 301 Topics for this course include: iterative solutions to non-linear equations, Newton-Raphson and secant methods, numerical solutions of ODEs, numerical integration methods, interpolation and curve fitting. Maple software is used throughout the course. The TI-89 graphing calculator is required. MATH 321: Discrete Methods (3) *Prerequisite: MATH 200 *Offered as needed Topics for this course may include some of the following: Euler and Hamilton circuits, graph coloring, matching theory, applied combinatorics, mathematical induction, equivalence relations and congruence classes, recurrence relations, generating functions, applications. Student presentations and lab projects (both group and individual) are an integral part of this course. The TI-89 or TI-83 plus graphing calculator is required. MATH 331: Theory of Interest (3) *Prerequisite: MATH 202 *Offered as needed Topics for this course include: compound interest, annuities, bonds, measurement of mortality, life annuities, life insurance, premiums and reserves. A financial calculator is required for this course. MATH 350: Selected Advanced Topics in Mathematics Education (credit varies) *Prerequisite: See the department chairperson Courses offered on an occasional basis devoted to select advanced mathematical education topics. MATH 351: Methods in Middle School/Junior High School Mathematics (3) *10 clinical observation hours *Prerequisite: MATH 122 or consent of the instructor *Offered every spring This course includes integrated content and methods appropriate for the middle school mathematics program. Topics are selected from the real number system and its operations, probability, statistics, measurement, geometry and algebra. Research implications in these areas are considered for the middle grades. Calculators and computers are integrated throughout the course. MATH 360: Selected Topics in Advanced Mathematics (credit varies) *Prerequisite: See the department chairperson *Offered at least once each academic year Possibilities for this course include: real analysis, complex analysis, number theory, topology, transform methods, partial differential equations, integral equations, Abstract Algebra II and Differential Geometry. MATH 375: Methods of Teaching Mathematics, Grades 6-12 (3) *30 clinical observation hours *Prerequisite: At least 30 credit hours in the mathematics major
*Offered every fall This course exposes both pre-service and in-service teachers to principles, current issues, materials and methods of teaching mathematics at the middle and secondary school level. Strong mathematical background expected. Classroom and field experiences are required. The NCTM Principles and Standards for School Mathematics are also addressed. MATH 390: Internship (credit varies, 1-12 credit hours) *Prerequisite: See the department chairperson For students who perform internships and/or present an off-campus experience judged by the faculty advisor and department chair to be of significant value in mathematical studies. MATH 399: Senior Seminar (1) *Prerequisite: Senior standing and consent of department faculty. At least 30 credit hours in the major, including Advanced Calculus (Math 301), must be completed with grades of C or better prior to enrolling in senior seminar. At least 6 of these credit hours must have been taken at SXU *Offered every semester The purpose of the senior seminar is to provide a culminating experience in mathematics for mathematics and mathematics education majors. The student will conduct research on an advanced topic with guidance from a faculty mentor, prepare a paper, prepare a poster and give a presentation based on the research to faculty and students of the department. The student is expected to attend all presentations given during the semester.
Complex Mosaic patterns at ceiling of the Tomb of Hafez in Shiraz,"Girih Tilings" http://en.wikipedia.org/wiki/Girih_tiles
