Mathematics


Fernando IX University
Fernando IX University

Ma 101: Basic Mathematics 

A survey course. Topics include real number system expressions and equations emphasizing practical elementary mathematics. Required of students with math ACT below 18. Not applicable toward a major or minor.

Prerequisites: Math ACT Below 18 or Math Placement.

Ma 102: Intermediate Mathematics 

Continuation of Ma 101 that emphasizes practical elementary mathematics applying the techniques of algebra. Not applicable toward a major or minor.

Prerequisites: Ma 101,Math ACT 18-19, Placement Tst.

Ma 103: College Algebra 

Review of elementary algebra. Stress on the concept of relation and function, algebraic functions and their graphs. Not applicable toward a major or minor.

Prerequisites: Ma 102, ACT 20-25, or Math Placement.

Ma 105: Transcendental Functions 

A review of exponential, logarithmic, trigonometric functions and their graphs and sequences and series. Suggested calculator: TI 83, 84, Nspire, 89 or Nspire CAS. Not applicable toward a major or minor .

Prerequisites: Ma 103, ACT 26-30, or Math Placement.

Ma 108: Mathematics of Finance 

Simple interest, internal rate of return, discount interest, discounted securities, compound interest, nominal and effective rates, annuities, debt retirement via amortization or sinking funds, valuation of bonds, yield rate, valuation of stocks, depreciation, cash flow analysis and capitalized cost. Required calculator: TI 83, 84, or Nspire. TI 89 or Nspire CAS may be used with permission. Not applicable toward a major or minor.

Prerequisites: Ma 102, ACT 20+, or Math Placement.

Ma 109: Essential Mathematics for Teachers 

A study of mathematics properties, processes and symbols for prospective teachers on the elementary level. Sets, relations, number theory, the real number system and problem solving. Not applicable toward a major or minor.

Prerequisites: Ma 101, ACT 18+, or Math Placement.

Ma 110: Foundations of Mathematics for Teachers 

A study of mathematics properties, processes and symbols for prospective teachers on the elementary level. Measurement, the metric system, geometry, congruence, coordinate geometry, probability and statistics. Not applicable toward a major or minor.

Prerequisites: Ma 101, ACT 18+, or Math Placement.

Ma 150: Introduction to Mathematical Reasoning 

A bridge or transition course between the lower level mathematics courses to more abstract and theoretical upper level courses in which mathematical proof is essential. Development of mathematical maturity is the ultimate goal of this class. This will be accomplished by developing the ability to interpret and use mathematical language and notation, understand elementary logic, learn how to read and understand mathematical definitions and proofs, construct and write mathematical proofs. Not applicable toward a major or minor. Required of all before taking first 300 level math class unless waived by passing Mathematics Reasoning placement test.

Ma 180: Introduction to Calculus 

A calculator-based applied calculus class in one variable. Derivatives, integrals and their applications will be studied. Required calculator: TI 83, 84 or Nspire. Not applicable toward a major or minor.

Prerequisites: Ma 102, ACT 20-25, or Math Placement.

Ma 193: College Algebra Help Class 

Corequisite: Ma 103.

Ma 200: Calculus I 

Introduction to analytic geometry, functions, limits and differentiation of algebraic functions, and applications. Required calculator: TI 89 (or TI 83, 84 or Nspire if final mathematics course).

Prerequisites: Ma 105, ACT 31-36, or Math Placement.

Ma 201: Calculus II 

A continuation of Ma 200. Topics include definite integration, differentiation and integration of transcendental functions and algebraic curves, and applications. Required calculator: TI 89 or Nspire CAS.

Prerequisite: Ma 200.

Ma 210: Elementary Statistics 

Descriptive statistics, elementary probability, the study of the binomial, uniform and normal probability distributions, point and interval estimations, and elementary hypothesis testing. Required calculator: TI 83, 84 or Nspire. TI 89 or Nspire CAS may be used with permission. Not applicable toward a Mathematics major or minor.

Prerequisites: Ma 102 or placement into Ma 103 or h.

Ma 211: Theory of Geometry 

Structure of proof, deductive reasoning, a survey of the theory of Euclidean geometry with an emphasis on proofs involving lines, angles, triangles, polygons and circles, theory of transformational geometry, analytical geometry and conics. Experience with Geometer's Sketchpad. Not applicable toward a Mathematics or Actuarial Science major or minor.

Ma 300: Elementary Linear Algebra 

Vectors, vector functions, linear functions, solutions of linear systems of equations, matrices, determinants and eigenvalues. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 200, Ma 150.

Ma 301: Calculus III 

A continuation of Ma 201. Topics include solid analytic geometry, parametric equations, and Maclaurin and Taylor series. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 201, Ma 150.

Ma 302: Calculus IV 

Functions of more than one variable, partial differentiation, multiple integration, vector analysis, theorems of Green and Stokes. Required calculator: TI 89 or Nspire CAS.

Prerequisite: Ma 301.

Ma 303: Discrete Math 

An introduction to set theory and logic, elementary combinatorics, graph theory and finite state machines. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 150 or Math Proof Tech Placement.

Ma 308: Theory of Interest 

Advanced topics in simple and compound interest, annuities and investment including force of interest, continuous and/or variable payment annuities. Required calculator: TI BA II Plus.

Prerequisites: Ma 180 or Ma 201 Prerequisite, Ma 150.

Ma 380: Actuarial Science I 

The economics of insurance. Topics include utility theory, applications of probability to problems of life and death, and multiple life functions, and the determination of premiums for insurance and annuities in both the discrete and continuous case.

Prerequisites: Ma 201, Ma 210, Ma 150.

Ma 381: Actuarial Science II 

The economics of insurance. Topics include utility theory, applications of probability to problems of life and death, and multiple life functions, and the determination of premiums for insurance and annuities in both the discrete and continuous case.

Prerequisite: Ma 380.

Ma 388: Applications of Finance 

A study of the applications of the theory of interest and financial derivatives consistent with the SOA/CAS Exam FM/2 syllabus.

Prerequisite: Ma 308.

Ma 390: Linear Optimization 

A study of linear programming methods employed in operations research. Topics include an introduction to modeling, the theory and application of the simplex method, duality and sensitivity analysis with applications directed toward business.

Prerequisite: Ma 300.

Ma 391: Topics in Optimization 

A study of deterministic methods employed in operations research. Topics include specific cases of linear programming problems as well as integer and nonlinear programming.

Ma 401: Elementary Number Theory 

Divisibility, congruences, theorems of Fermat and Wilson, primitive roots, indices and quadratic reciprocity. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 201, Ma 150.

Ma 402: Abstract Algebra 

The theory of mathematical structures with an emphasis on group theory. Examples are taken from the real number system, linear algebra and calculus. Elements of number and set theory are used extensively. The study of homomorphisms, isomorphisms and related theory is included. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 201, Ma 300.

Ma 403: Intermediate Analysis 

The real and complex number systems, point-set theory, concepts of limits and continuity, differentiation of functions of one and more variables, functions of bounded variation, rectifiable curves and connected sets. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 300, Ma 302.

Ma 404: Probability & Statistics I 

Elementary combinatorial analysis, independence and dependence, distribution functions, moment-generating functions, random variables, central limit theorem, elementary point and interval estimation, and hypothesis testing. Required calculator: TI 89 or Nspire CAS.

Prerequisite: Ma 301.

Ma 405: Probability & Statistics II 

Type of convergence in probability, law of large numbers, Chebyshev's inequality, central limit theory proven, development of point and interval estimates and hypothesis testing, regression, ANOVA, Chi square. Required calculator: TI 89 or Nspire CAS.

Prerequisite: Ma 404.

Ma 406: Differential Equations 

Ordinary differential equations, methods of solution and applications, higher- order linear equations, series solutions, systems of linear equations, Laplace transforms and numerical solutions. Required calculator: TI 89 or Nspire CAS.

Prerequisite: Ma 301.

Ma 407: Modern Geometry 

Methods and theory of transformational geometry in the plane and space, finite geometry, advanced Euclidean geometry, constructions, non-Euclidean geometry, projective geometry and experience with Geometer's Sketchpad . Required calculator: TI 89 or Nspire CAS.

Prerequisite: Ma 300.

Ma 409: Introduction to Topology 

An axiomatic development of point-set topology; connectivity, compactness, metrization, separability and topological equivalence. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 300, Ma 302.

Ma 420: Computational Mathematics 

Solve interesting problems from upper level mathematics or computer science by programming one's own solution or by using a standard mathematical program like Mathematica or Maple .

Prerequisites: Ma 301, CpS 110.

Ma 425: Complex Variables 

Topics include complex numbers, analytic functions, elementary transformations, and complex integration. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 300, Ma 302.

Ma 440: Combinatorial Mathematics 

Topics include permutations, combinations, generating functions, and recurrence relations. Required calculator: TI 89 or Nspire CAS.

Prerequisites: Ma 300, Ma 301.

Ma 479: Mathematics Seminar 

Required of all students majoring in Mathematics. Gives senior math majors an opportunity to examine difference facets of a career in Mathematics. These facets include independent study of an advanced topic and presenting that study to a group of his peers. Not applicable toward a minor.

Ma 488: Applications of Probability 

A study of the applications of calculus and probability consistent with the SOA/CAS Exam P/1 syllabus.

Prerequisites: Ma 302, Ma 404.

Ma 497: Independent Study in Mathematics 

Special study of a project chosen in consultation with mathematics faculty.

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