
Math Department PhilosophyThe ability to comprehend, develop, and utilize mathematical concepts is invaluable throughout life. All people need some fluency in this area in order to contribute to and to fare well in our contemporary world. The Mathematics Department, therefore, seeks to enhance students' knowledge and understanding of math allowing them to attain success in college and throughout life. The broad purposes and objective are best served by cultivating in students the ability to draw reasonable conclusions from information found in various sources, whether written, spoken, or displayed in tables and to solve problems which they may encounter in life. (NCTM) NOTE: ALL MATH COURSE SELECTIONS/REGISTRATIONS WILL BE BY PLACEMENT. Any appeals must be submitted in writing to the Math Department Chair before May 15th. Appeal forms are available from the department chair.
Course Descriptions
 411/412  Algebra I
411\412  Algebra I two semester course This is the standard oneyear Algebra I course offered to freshmen. Topics include positive & negative rational numbers; graphing; problemsolving; solving linear equations, inequalities and systems; integer exponents; operations with polynomials; factoring and rational expressions.
 413  Advanced Algebra I
413  Advanced Algebra I two semester course This course covers all the topics of 412 Algebra I with additional topics taken as time permits. Students are placed in 413 based on the competency test given at Prep in the late spring.
 418  Honors College Algebra
418  Honors College Algebra two semester course Standard algebra skills are extended. Included are topics of linear equations and graphing, systems of linear equations, roots and radicals, polynomial equations and functions, exponents and logarithms, quadratic equations and linear inequalities.This course is for freshmen who have previously taken and mastered Algebra I. Placement in this course requires passing an Algebra I competency test given at Prep in the late spring prior to freshman year.
 424/426  Geometry
424/426  Geometry two semester course The traditional Euclidian geometry course is presented as an example of a mathematical system. Basic geometric figures are introduced along with deductive reasoning. Students study topics including lines, angles, triangles, congruency, similarity, right triangles, polygons, area and volume while developing an understanding of the nature of proof. This is offered to students who have completed Algebra I.
 427  Advanced Geometry
427  Advanced Geometry two semester course Most students will take this class after completing Advanced Algebra I.
 428  Honors Geometry/Intro PreCalculus
428  Honors Geometry/Intro PreCalculus two semester course Students are placed only from course 418. This course covers all topics of 426 Geometry and all Algebra II topics.
 430  Intermediate Algebra II/Trigonometry
430  Intermediate Algebra II/Trigonometry two semester course A two year sequence course with a deliberate approach to Algebra II. If time allows, additional topics in trigonometry are covered. Students enrolled in this course are required to successfully complete course 431 senior year. Prerequisite: Approval and junior class standing.
 431  Intermediate Trigonometry/Algebra II
431  Intermediate Trigonometry/Algebra II two semester course This course is a continuation of course 430. Prerequisite: Senior class standing having passed both semesters of course 430 and approval.
 434  Algebra II
434  Algebra II semester course Open to students who earned a grade of 84% or below in both Algebra I and Geometry. This course does not admit a student to PreCalculus the following year. Students who qualify for 436 may not register for this course. Content of the course includes properties of real numbers, linear systems, roots and radicals, exponents and logarithms, quadratic equations and linear inequalities.
 436  Advanced Algebra II
436  Advanced Algebra II two semester course Open to students who earned grades of 85% or above in both Algebra I and Geometry. No exceptions will be made. This course is required for students who wish to take PreCalculus the following year. Content includes the 434 topics plus additional topics of polynomial and radical equations, relations and functions, matrices with some Trigonometry if time permits.
 438  Honors Geometry
438  Honors Geometry one semester course Students are placed from course 418. This semester course receives 1.0 credit. This course covers all topics of 426 Geometry.
 441  Trigonometry
441  Trigonometry one semester course This one semester course includes trigonometric ratios, triangles, circular functions, identities, trigonometry application, graphs and trigonometric equations. Prerequisite: grade of 78% or higher in Algebra II (434 or 436) or permission of department chairperson. Note: A calculator with trigonometric functions will be required. (TI30 x lls)
 445  PreCalculus
445  PreCalculus two semester course The purpose of this course is to prepare students for their future study of calculus. Students will begin this preparation by studying advanced Algebra II topics including number pattern, functions (polynomial and exponential), matrices, and statistics with probability. A detailed study of trigonometry, polar coordinates, parametric equations, limits, and continuity will then commence. Finally, this course will finish with an informal introduction to limits. Prerequisite(s): The student must obtain at least an 88% in MATH 436 (Advanced Algebra II) and at least a 90% in MATH 434 (Algebra II).
 447  Finite Mathematics
447  Finite Mathematics one semester course This course will expose the student to some of the practical applications of mathematics. Topics from probability, statistics, matrix theory, linear programming, finance and interest, maximization and minimization, expected value, gambling and decisionmaking will be stressed from a problemsolving approach. This is a good foundation course for any student who is interested in the areas of science and/or business. This course is intended primarily for seniors who have fulfilled Algebra II requirements. A calculator with the exponential function is required. (TI30 x IIs) Prerequisite: grade of 78% or higher in Alg. II (434 or 436) or permission of department chairperson.
 448  Honors PreCalculus
448 – Honors PreCalculus two semester course Prerequisite: A minimum average of 90% in both semesters of Advanced Algebra II, or permission of the department chairperson. This course is designed to prepare students for a Calculus course, either at Prep or in college. Students not planning a later Calculus course, either at Prep or in college, are welcome, but they should be aware of the course's primary intent. Course content includes a concise algebra review, trigonometry, limits and continuity, and an introduction to differentiation, and antidifferentiation. A graphic calculator is required.
 449  AP Statistics
449  AP Statistics two semester course This course is offered for advanced placement and college (UNO) credit. Students are introduced to the major concepts and tools for collecting, analyzing and drawing conclusions from data. The four broad conceptual themes are: exploring data, planning a study, anticipating patterns and statistical inference. A TI83 plus graphing calculator is required. A national advanced placement exam is offered in the spring. It is recommended that students with PreCalculus or Calculus background take the AP Exam. Prerequisite: For current Calculus I / II juniors or current juniors who wish to take a second AP math course as a senior and permission of the PreCalculus (448) instructor or a grade above 85% in Math 436.
 457  Calculus I
457  calculus I two semester course This is a course in plane analytic geometry emphasizing the study of functions, limits, derivatives and applications, and an introduction to integration. A TI84 graphing calculator or equivalent is recommended. Prerequisite: Recommendation of the PreCalculus (445) instructor.
 459  AP Calculus I/II AB
459  AP Calculus I/II AB two semester course The course focuses on the traditional Calculus topics using the graphing calculator and graphing software. A TI84 graphing calculator or equivalent is recommended. A national advanced placement exam is offered in the spring. Prerequisite: Recommendation of the PreCalculus (448) instructor with a grade of 78%  85% upon completion of PreCalculus or a minimum of 94% in both semesters of Advanced Algebra II, as well as the recommendation of the department chairperson or has taken PreCalculus but does not qualify for the Calculus I / II BC Program.
 469  AP Calculus I/II BC
469  AP Calculus I/II BC two semester course This course parallels Math 245/246 at Creighton University. Students may earn four semester hours of credit per semester by a payment of $110.00 fee per semester. A national advanced placement exam is offered in the spring. Topics include limits, continuity, differentiation, Riemann integration, sequences and series, calculus in polar coordinates, calculus of parametric curves, and an introduction to the methods of differential equations. A TI83 plus or TI84 calculator is required. Prerequisite: A minimum grade of 90% in PreCalculus.
 479  Honors Calculus II/III
479  Honors Calculus II/IIItwo semester course The first semester of this course will conclude the study of single variable calculus by addressing the following topics: parameterization of curves in the plane, polar coordinates and their application in calculus, sequences and series of real numbers, series of functions of a single real variable, and differential equations and their application to mathematical biology. In particular, most of the course topics will be approached from the viewpoint of mathematical biology and differential equations, and by the end of the course, students will not only be prepared to earn a 5 on the AP Calculus BC exam, but will also be able to understand and articulate how single variable calculus can be applied to the study of differential equations and mathematical biology. The second semester of this course will be equivalent in content to MATH 489 and will be a rigorous treatment of multivariable calculus including a study of vectors, differentiability of functions of many variables, analysis of elementary PDEs, integrability in ndimensional Euclidean space, line and surface integrals, analysis of vector fields, and the theorems of Green, Gauss, and Stokes. A graphing calculator without symbolic manipulation capability is required for the first semester. By dual enrolling through the University of Nebraska Omaha, students may earn 5 hours of university credit for Calculus II and another 4 hours of university credit for Calculus III for the successful completion of each semester. Prerequisite: Recommendation of the AP Calculus AB instructor with a minimum grade of 90% in AP Calculus AB and, preferably, a score of 4 or 5 on the AP Calculus AB exam.
 489  Calculus III
489  Calculus III This course is for students who have completed Calculus I & II as a Junior. First Semester: Calculus III which is a rigorous treatment of multivariable Calculus. Topics include vectors, partial differentiation, multiple integration, line and surface integrals, and the theorems of Green, Gauss, and Stokes. Where possible, theorems are stated in full generality in ndimensional Euclidian space, and some elementary topics from both real analysis and topology are introduced as part of the course. Students may earn 4 semester hours of credit by a payment of a $110 fee to Creighton University. Second Semester: Differential Equations, Linear Algebra, and applications to the natural and social sciences will be emphasized.
 490  Advanced Applied Mathematics
490  Advanced Applied Mathematics Mathematics is offered as an "Art of Problem Solving" in this course with a direct experience of these problems integrated into high school and collegiate level math competitions. This course also participates in national competitions such as AMC, AIME, ARML and a scholarshipdriven mathematical modeling competition. Finally, problem solving skills are initiated with the creation of our four junior high math competitions each spring as well as a student teaching unit each semester. Students should be very interested in mathematics and are expected to participate in all competitions. This twosemester course can be taken all four years.
 493  Advanced Topics in Mathematics
493  Advanced Topics in Mathematics This course is for students who have either completed MATH 489 before their senior year or who are currently enrolled in MATH 489 but have a strong interest in mathematics and mathematics related careers. Topics chosen from among the following: Probability and Statistics and Introductory Real Analysis, Partial Differential Equations, Mathematical Biology and Chaos theory. Students may be able to earn college credit through AP Statistics exam. Prerequisite: A minimum grade of 90 % in AP Calculus BC. Coregistered for MATH 479/489 or successful completion of MATH 479/489 with a minimum grade of 90 %. Invitation by the instructor.
 499  Differential Equations & Linear Algebra
499  Differential Equations & Linear AlgebraThis course is for students who have completed Calculus I & II as a junior. First Semester: Calculus III which is a rigorous treatment of multivariable Calculus. Topics include vectors, partial differentiation, multiple integration, line and surface integrals, and the theorems of Green, Gauss, and Stokes. Where possible, theorems are stated in full generality in ndimensional Euclidian space, and some elementary topics from both real analysis and topology are introduced as part of the course. Students may earn 4 semester hours of credit by a payment of a $110 fee to Creighton University. Second Semester: Differential Equations, Linear Algebra, and applications to the natural and social sciences will be emphasized.
 Mathematic Resources
Mathematic Resources
Click HERE to view a number of helpful mathspecific sites.

