Institute of Mathematics Courses Offered: Difference between revisions
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== '''Undergraduate Courses''' == | |||
'''Math 1 Mathematics for General Education''' <br /> | |||
Concepts and applications of mathematics.<br /> | |||
Credit: 3 u.<br /> | |||
''' | '''Math 2 Practical Mathematics'''<br /> | ||
Application of mathematics to everyday life.<br /> | |||
Credit: 3 u.<br /> | |||
'''Math 11 College Algebra'''<br /> | |||
Linear equations; algebraic and graphical solutions of the quadratic equations; exponents and radicals; complex numbers; binomial expansion; determinants; progressions; solutions of equations, several equations in several variables.<br /> | |||
Prerequisite: one year of high school algebra<br /> | |||
Credit: 3 u.<br /> | |||
Math | |||
'''Math 14 Plane Trigonometry''' <br /> | |||
Logarithms, graphs of the trigonometric functions; the general triangle; solutions of trigonometric equations, inverse trigonometric functions, exponential and logarithmic functions; complex numbers.<br /> | |||
Prerequisite: one year each of high school algebra and plane geometry<br /> | |||
Credit: 3 u.<br /> | |||
'''Math 17 Algebra and Trigonometry''' <br /> | |||
Sets and numbers; the algebra of numbers as logical system; inequalities; absolute values and coordinates systems; functions and graphs; circular, linear, quadratic, and polynomial functions; exponential and logarithmic functions; applications of the circular functions to angles. <br /> | |||
Prerequisite: one year of high school algebra <br /> | |||
Credit: 5 u.<br /> | |||
'''Math 53 Elementary Analysis I''' <br /> | |||
Functions and their graphs; limits and continuity; the derivative; derivatives of algebraic and trigonometric functions; exponential and logarithmic functions; inverse functions; antiderivatives and definite integrals; fundamental theorem of calculus; applications of the definite integral.<br /> | |||
Prerequisite: Math 17 or equivalent<br /> | |||
Credit: 5 u. <br /> | |||
'''Math 54 Elementary Analysis II'''<br /> | |||
Integration methods; applications of the definite integral; plane and solid analytic geometry; polar coordinates; vectors; parametric equations. Sequences and series; power series.<br /> | |||
Prerequisite: Math 53<br /> | |||
Credit: 5 u.<br /> | |||
'''Math 55 Elementary Analysis III''' <br /> | |||
Functions of several variables, continuity; partial derivatives; derivatives of functions of several variables; linear approximation; quadric surfaces; multiple integrals; applications of multiple integrals; vector fields; potential functions; Stokes and the divergence theorem.<br /> | |||
Prerequisite: Math 54 <br /> | |||
Credit: 3 u.<br /> | |||
'''Math 60 Precalculus''' <br /> | |||
Algebraic operations, functions, analytic, geometry, trigonometry, matrices.<br /> | |||
Prerequisite: none <br /> | |||
Credit: 5 u.<br /> | |||
'''Math 63 Calculus I''' <br /> | |||
Functions of a single variable; limits, continuity; the derivative and the Riemann integral; derivatives of algebraic, trigonometric and inverse trigonometric functions; applications; polar coordinates; conic sections. <br /> | |||
Prerequisite: Passing APE in Math 17 or equivalent<br /> | |||
Credit: 5 u. <br /> | |||
'''Math 64 Calculus II''' <br /> | |||
The exponential, logarithmic and hyperbolic functions; techniques of integration; vectors and vector-valued functions; improper integrals; infinite series; power series; applications. <br /> | |||
Prerequisite: Math 63 or equivalent<br /> | |||
Credit: 5 u.<br /> | |||
'''Math 65 Calculus III''' <br /> | |||
Calculus of several variables and Fourier series.<br /> | |||
Prerequisite: Math 64<br /> | |||
Credit: 3 u.<br /> | |||
'''Math 100 Introduction To Calculus''' <br /> | |||
Limits; derivatives; integrals; applications.<br /> | |||
For Economics and Business Majors.<br /> | |||
Prerequisite: Math 17 or consent of instructor<br /> | |||
Credit: 4 u.<br /> | |||
'''Math 109 Fundamental Concepts Of Mathematics''' <br /> | |||
Algebra of sets and logic; methods of proof; functions and relations; logical nature and structure of mathematics; introduction to number-theory; algebra arid geometry of complex numbers. <br /> | |||
Prerequisite: 2nd year standing<br /> | |||
Credit: 3 u.<br /> | |||
'''Math 110.1 Abstract Algebra I'''<br /> | |||
Algebraic relations; groups; pemiutation groups; groups of symmetries; group action; rings; integral domain; fields.<br /> | |||
Prerequisite: Math 109<br /> | |||
Credit: 3 u.<br /> | |||
'''Math 110.2 Abstract Algebra II'''<br /> | |||
Fields; vector spaces; linear transformations; matrices; characteristic values; diagonalization; inner product; quadratic forms.<br /> | |||
Prerequisite: Math 110.1<br /> | |||
Credit: 3 u.<br /> | |||
'''Math 110.3 Abstract Algebra III''' <br /> | |||
Fields of quotients of integral domains; polynomial rings; field extensions; Galois theory; other systems.<br /> | |||
Prerequisite: Math 110.1<br /> | |||
Credit: 3 u.<br /> | |||
'''Math 114 Linear Algebra''' <br /> | |||
Vector spaces; linear transformations; matrices; eigenvalues; canonical forms; orthogonality; applications.<br /> | |||
Prerequisite: Math 54 or equivalent <br /> | |||
Credit: 3 u. <br /> | |||
'''Math 117 * Elementary Theory Of Numbers''' <br /> | |||
Properties of integers; divisibility; unique factorization theorem; solutions of congruences; residue systems; primitive roots and the quadratic reciprocity law; solutions of Diophantine equations. <br /> | |||
Prerequisite: Math 19 or equivalent<br /> | |||
Credit: 3 u.<br /> | |||
Latest revision as of 15:50, 20 September 2012
Undergraduate Courses
Math 1 Mathematics for General Education
Concepts and applications of mathematics.
Credit: 3 u.
Math 2 Practical Mathematics
Application of mathematics to everyday life.
Credit: 3 u.
Math 11 College Algebra
Linear equations; algebraic and graphical solutions of the quadratic equations; exponents and radicals; complex numbers; binomial expansion; determinants; progressions; solutions of equations, several equations in several variables.
Prerequisite: one year of high school algebra
Credit: 3 u.
Math 14 Plane Trigonometry
Logarithms, graphs of the trigonometric functions; the general triangle; solutions of trigonometric equations, inverse trigonometric functions, exponential and logarithmic functions; complex numbers.
Prerequisite: one year each of high school algebra and plane geometry
Credit: 3 u.
Math 17 Algebra and Trigonometry
Sets and numbers; the algebra of numbers as logical system; inequalities; absolute values and coordinates systems; functions and graphs; circular, linear, quadratic, and polynomial functions; exponential and logarithmic functions; applications of the circular functions to angles.
Prerequisite: one year of high school algebra
Credit: 5 u.
Math 53 Elementary Analysis I
Functions and their graphs; limits and continuity; the derivative; derivatives of algebraic and trigonometric functions; exponential and logarithmic functions; inverse functions; antiderivatives and definite integrals; fundamental theorem of calculus; applications of the definite integral.
Prerequisite: Math 17 or equivalent
Credit: 5 u.
Math 54 Elementary Analysis II
Integration methods; applications of the definite integral; plane and solid analytic geometry; polar coordinates; vectors; parametric equations. Sequences and series; power series.
Prerequisite: Math 53
Credit: 5 u.
Math 55 Elementary Analysis III
Functions of several variables, continuity; partial derivatives; derivatives of functions of several variables; linear approximation; quadric surfaces; multiple integrals; applications of multiple integrals; vector fields; potential functions; Stokes and the divergence theorem.
Prerequisite: Math 54
Credit: 3 u.
Math 60 Precalculus
Algebraic operations, functions, analytic, geometry, trigonometry, matrices.
Prerequisite: none
Credit: 5 u.
Math 63 Calculus I
Functions of a single variable; limits, continuity; the derivative and the Riemann integral; derivatives of algebraic, trigonometric and inverse trigonometric functions; applications; polar coordinates; conic sections.
Prerequisite: Passing APE in Math 17 or equivalent
Credit: 5 u.
Math 64 Calculus II
The exponential, logarithmic and hyperbolic functions; techniques of integration; vectors and vector-valued functions; improper integrals; infinite series; power series; applications.
Prerequisite: Math 63 or equivalent
Credit: 5 u.
Math 65 Calculus III
Calculus of several variables and Fourier series.
Prerequisite: Math 64
Credit: 3 u.
Math 100 Introduction To Calculus
Limits; derivatives; integrals; applications.
For Economics and Business Majors.
Prerequisite: Math 17 or consent of instructor
Credit: 4 u.
Math 109 Fundamental Concepts Of Mathematics
Algebra of sets and logic; methods of proof; functions and relations; logical nature and structure of mathematics; introduction to number-theory; algebra arid geometry of complex numbers.
Prerequisite: 2nd year standing
Credit: 3 u.
Math 110.1 Abstract Algebra I
Algebraic relations; groups; pemiutation groups; groups of symmetries; group action; rings; integral domain; fields.
Prerequisite: Math 109
Credit: 3 u.
Math 110.2 Abstract Algebra II
Fields; vector spaces; linear transformations; matrices; characteristic values; diagonalization; inner product; quadratic forms.
Prerequisite: Math 110.1
Credit: 3 u.
Math 110.3 Abstract Algebra III
Fields of quotients of integral domains; polynomial rings; field extensions; Galois theory; other systems.
Prerequisite: Math 110.1
Credit: 3 u.
Math 114 Linear Algebra
Vector spaces; linear transformations; matrices; eigenvalues; canonical forms; orthogonality; applications.
Prerequisite: Math 54 or equivalent
Credit: 3 u.
Math 117 * Elementary Theory Of Numbers
Properties of integers; divisibility; unique factorization theorem; solutions of congruences; residue systems; primitive roots and the quadratic reciprocity law; solutions of Diophantine equations.
Prerequisite: Math 19 or equivalent
Credit: 3 u.