|
| Term I | | Course # | Course Name | Lecture | Lab | Study | Credit |
|---|
| PEP 111 | MechanicsVectors, kinetics, Newton’s laws, dynamics or particles, work and energy, friction, conserverative forces, linear momentum, center-of-mass and relative motion, collisions, angular momentum, static equilibrium, rigid body rotation, Newton’s law of gravity, simple harmonic motion, wave motion and sound. Corequisites:MA 115Calculus I
(4-0-8)(Lecture-Lab-Study Hours)
An introduction to differential and integral calculus for functions of one variable. The differential calculus includes limits, continuity, the definition of the derivative, rules for differentiation, and applications to curve sketching, optimization, and elementary initial value problems. The integral calculus includes the definition of the definite integral, the Fundamental Theorem of Calculus, techniques for finding antiderivatives, and applications of the definite integral. Transcendental and inverse functions are included throughout.
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| 3 | 0 | 6 | 3 | | CH 115 | General Chemistry I Atomic structure and periodic properties, stoichiometry, properties of gases, thermochemistry, chemical bond types, intermolecular forces, liquids and solids, chemical kinetics and introduction to organic chemistry and biochemistry. Corequisites:CH 117General Chemistry Laboratory I
(0-3-1)(Lecture-Lab-Study Hours)
Laboratory work to accompany CH 115: experiments of atomic spectra, stoichiometric analysis, qualitative analysis, and organic and inorganic syntheses, and kinetics.
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| 3 | 0 | 6 | 3 | | CH 117 | General Chemistry Laboratory I Laboratory work to accompany CH 115: experiments of atomic spectra, stoichiometric analysis, qualitative analysis, and organic and inorganic syntheses, and kinetics. Corequisites:CH 115, General Chemistry I
(3-0-6)(Lecture-Lab-Study Hours)
Atomic structure and periodic properties, stoichiometry, properties of gases, thermochemistry, chemical bond types, intermolecular forces, liquids and solids, chemical kinetics and introduction to organic chemistry and biochemistry.
Close |
General Chemistry IA
(0-0-0)(Lecture-Lab-Study Hours)
Elements, compounds, ions, stoichiometry, chemical reactions, solutions, gas laws, partial pressures, effusion, thermochemistry, atomic structure, periodicity, bonding, organic molecules, (nomenclatures), organic chemistry (hybridization, delocalization), polymers. Required course for Engineering students.
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| 0 | 3 | 1 | 1 | | MA 121 | Differential CalculusLimits, the derivatives of functions of one variable, differentiation rules, applications of the derivative.Prerequisites:MA 120Introduction to Calculus
(4-0-0)
(Lecture-Lab-Study Hours)
The first part of the course reviews algebra and precalculus skills. The second part of the course introduces students to topics from differential calculus, including limits, rates of change and differentiation rules.
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| 4 | 0 | 8 | 2 | | MA 122 | Integral CalculusDefinite integrals of functions of one variable, antiderivatives, the Fundamental Theorem, integration techniques, improper integrals, applications. Prerequisites:MA 121Differential Calculus
(4-0-8)
(Lecture-Lab-Study Hours)
Limits, the derivatives of functions of one variable, differentiation rules, applications of the derivative.
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| 4 | 0 | 8 | 2 | | CS 105 | Introduction to Scientific Computing (1)This is a first course in computer programming for students with no prior experience. Students will learn the core process of programming: given a problem statement, how does one design an algorithm to solve that particular problem and then implement the algorithm in a computer program? The course will also introduce elementary programming concepts like basic control concepts (such as conditional statements and loops) and a few essential data types (e.g., integers and doubles). Exposure to programming will be through a self-contained user-friendly programming environment, widely used by the scientific and engineering communities, such as Matlab. The course will cover problems from all fields of science, engineering, and business. Close | 2 | 2 | 6 | 3 | CAL 103
OR
CAL 105 | Writing And Communications ColloquiumThis course empowers students with the written and oral communications skills essential for both university-level academic discourse as well as success outside Stevens in the professional world. Tailored to the Stevens student, styles of writing and communications include technical writing, business proposals and reports, scientific reports, expository writing, promotional documents and advertising, PowerPoint presentations, and team presentations. The course covers the strategies for formulating effective arguments and conveying them to a wider audience. Special attention is given to the skills necessary for professional document structure, successful presentation techniques and grammatical/style considerations. Close
OR
CAL Colloquium: Knowledge, Nature, CultureThis course introduces students to all the humanistic disciplines offered by the College of Arts and Letters: history, literature, philosophy, the social sciences, art, and music. By studying seminal works and engaging in discussions and debates regarding the themes and ideas presented in them, students learn how to examine evidence in formulating ideas, how to subject opinions, both their own, as well those of others, to rational evaluation, and in the end, how to appreciate and respect a wide diversity of opinions and points of view. Close | 3 | 0 | 6 | 3 | | Total | 19 | 5 | 41 | 17 |
| | Term II | | Course # | Course Name | Lecture | Lab | Study | Credit |
|---|
| PEP 112 | Electricity and MagnetismCoulomb’s law, concepts of electric field and potential, Gauss’ law, capacitance, current and resistance, DC and R-C transient circuits, magnetic fields, Ampere’s law, Faraday’s law of induction, inductance, A/C circuits, electromagnetic oscillations, Maxwell’s equations and electromagnetic waves. Prerequisites:MA 115 or Calculus I
(4-0-8)
(Lecture-Lab-Study Hours)
An introduction to differential and integral calculus for functions of one variable. The differential calculus includes limits, continuity, the definition of the derivative, rules for differentiation, and applications to curve sketching, optimization, and elementary initial value problems. The integral calculus includes the definition of the definite integral, the Fundamental Theorem of Calculus, techniques for finding antiderivatives, and applications of the definite integral. Transcendental and inverse functions are included throughout.
Close |
, Calculus I
(4-0-8)
(Lecture-Lab-Study Hours)
An introduction to differential and integral calculus for functions of one variable. The differential calculus includes limits, continuity, the definition of the derivative, rules for differentiation, and applications to curve sketching, optimization, and elementary initial value problems. The integral calculus includes the definition of the definite integral, the Fundamental Theorem of Calculus, techniques for finding antiderivatives, and applications of the definite integral. Transcendental and inverse functions are included throughout.
Close |
, Mechanics
(3-0-6)
(Lecture-Lab-Study Hours)
Vectors, kinetics, Newton’s laws, dynamics or particles, work and energy, friction, conserverative forces, linear momentum, center-of-mass and relative motion, collisions, angular momentum, static equilibrium, rigid body rotation, Newton’s law of gravity, simple harmonic motion, wave motion and sound.
Close |
, Mechanics
(3-0-6)
(Lecture-Lab-Study Hours)
Vectors, kinetics, Newton’s laws, dynamics or particles, work and energy, friction, conserverative forces, linear momentum, center-of-mass and relative motion, collisions, angular momentum, static equilibrium, rigid body rotation, Newton’s law of gravity, simple harmonic motion, wave motion and sound.
Close |
Integral Calculus
(4-0-8)
(Lecture-Lab-Study Hours)
Definite integrals of functions of one variable, antiderivatives, the Fundamental Theorem, integration techniques, improper integrals, applications.
Close |
| 3 | 0 | 6 | 3 | | CH 116 | General Chemistry II Phase equilibria, properties of solutions, chemical equilibrium, strong and weak acids and bases, buffer solutions and titrations, solubility, thermodynamics, electrochemistry, properties of the elements and nuclear chemistry. Prerequisites:CH 115, General Chemistry I
(3-0-6)
(Lecture-Lab-Study Hours)
Atomic structure and periodic properties, stoichiometry, properties of gases, thermochemistry, chemical bond types, intermolecular forces, liquids and solids, chemical kinetics and introduction to organic chemistry and biochemistry.
Close |
, General Chemistry
(3-0-6)
(Lecture-Lab-Study Hours)
Elements, compounds, ions, stoichiometry, chemical reactions, solutions, gas laws, partial pressures, effusion, thermochemistry, atomic structure, periodicity, bonding, organic molecules, (nomenclatures), organic chemistry (hybridization, delocalization), polymers. Required course for Engineering students.
Close |
, General Chemistry I
(3-0-6)
(Lecture-Lab-Study Hours)
Atomic structure and periodic properties, stoichiometry, properties of gases, thermochemistry, chemical bond types, intermolecular forces, liquids and solids, chemical kinetics and introduction to organic chemistry and biochemistry.
Close |
, General Chemistry
(3-0-6)
(Lecture-Lab-Study Hours)
Elements, compounds, ions, stoichiometry, chemical reactions, solutions, gas laws, partial pressures, effusion, thermochemistry, atomic structure, periodicity, bonding, organic molecules, (nomenclatures), organic chemistry (hybridization, delocalization), polymers. Required course for Engineering students.
Close |
General Chemistry IA
(0-0-0)
(Lecture-Lab-Study Hours)
Elements, compounds, ions, stoichiometry, chemical reactions, solutions, gas laws, partial pressures, effusion, thermochemistry, atomic structure, periodicity, bonding, organic molecules, (nomenclatures), organic chemistry (hybridization, delocalization), polymers. Required course for Engineering students.
Close |
| 3 | 0 | 6 | 3 | | CH 118 | General Chemistry Laboratory II Laboratory work to accompany CH 116: analytical techniques properties of solutions, chemical and phase equilibria, acid-base titrations, thermodynamic properties, electrochemical cells, and properties of chemical elements. Corequisites:CH 116General Chemistry II
(3-0-6)(Lecture-Lab-Study Hours)
Phase equilibria, properties of solutions, chemical equilibrium, strong and weak acids and bases, buffer solutions and titrations, solubility, thermodynamics, electrochemistry, properties of the elements and nuclear chemistry.
Close |
, General Chemistry Laboratory I
(0-3-1)
(Lecture-Lab-Study Hours)
Laboratory work to accompany CH 115: experiments of atomic spectra, stoichiometric analysis, qualitative analysis, and organic and inorganic syntheses, and kinetics.
Close |
General Chemistry Laboratory I
(0-3-1)
(Lecture-Lab-Study Hours)
Laboratory work to accompany CH 115: experiments of atomic spectra, stoichiometric analysis, qualitative analysis, and organic and inorganic syntheses, and kinetics.
Close |
| 0 | 3 | 1 | 1 | | CH 281 | Biology and BiotechnologyBiological principles and their physical and chemical aspects are explored at the cellular and molecular level. Major emphasis is placed on cell structure, the processes of energy conversion by plant and animal cells, genetics and evolution, and applications to biotechnology. Prerequisites:CH 107, General Chemistry IA
(0-0-0)
(Lecture-Lab-Study Hours)
Elements, compounds, ions, stoichiometry, chemical reactions, solutions, gas laws, partial pressures, effusion, thermochemistry, atomic structure, periodicity, bonding, organic molecules, (nomenclatures), organic chemistry (hybridization, delocalization), polymers. Required course for Engineering students.
Close |
General Chemistry I
(3-0-6)
(Lecture-Lab-Study Hours)
Atomic structure and periodic properties, stoichiometry, properties of gases, thermochemistry, chemical bond types, intermolecular forces, liquids and solids, chemical kinetics and introduction to organic chemistry and biochemistry.
Close |
General Chemistry Laboratory I
(0-3-1)
(Lecture-Lab-Study Hours)
Laboratory work to accompany CH 115: experiments of atomic spectra, stoichiometric analysis, qualitative analysis, and organic and inorganic syntheses, and kinetics.
Close |
| 3 | 0 | 6 | 3 | | MA 123 | Series, Vectors, Functions, and SurfacesTaylor polynomials and series, functions of two and three variables, linear functions, implicit functions, vectors in two and three dimensions. Prerequisites:MA 122 or Integral Calculus
(4-0-8)
(Lecture-Lab-Study Hours)
Definite integrals of functions of one variable, antiderivatives, the Fundamental Theorem, integration techniques, improper integrals, applications.
Close |
Calculus I
(0-0-0)
(Lecture-Lab-Study Hours)
An introduction to differential and integral calculus for functions of one
variable. The differential calculus includes limits, continuity, the
definition of the derivative, rules for differentiation, and applications to
curve sketching, optimization, and elementary initial value problems. The
integral calculus includes the definition of the definite integral, the
Fundamental Theorem of Calculus, techniques for finding antiderivatives, and
applications of the definite integral. Transcendental and inverse functions
are included throughout.
Close |
| 4 | 0 | 8 | 2 | | MA 124 | Calculus of Two VariablesPartial derivatives, the tangent plane and linear approximation, the gradient and directional derivatives, the chain rule, implicit differentiation, extreme values, application to optimization, double integrals in rectangular coordinates. Prerequisites:MA 123Series, Vectors, Functions, and Surfaces
(4-0-8)
(Lecture-Lab-Study Hours)
Taylor polynomials and series, functions of two and three variables, linear functions, implicit functions, vectors in two and three dimensions.
Close |
| 4 | 0 | 8 | 2 | CAL 105
OR
CAL 103 | CAL Colloquium: Knowledge, Nature, CultureThis course introduces students to all the humanistic disciplines offered by the College of Arts and Letters: history, literature, philosophy, the social sciences, art, and music. By studying seminal works and engaging in discussions and debates regarding the themes and ideas presented in them, students learn how to examine evidence in formulating ideas, how to subject opinions, both their own, as well those of others, to rational evaluation, and in the end, how to appreciate and respect a wide diversity of opinions and points of view. Close
OR
Writing And Communications ColloquiumThis course empowers students with the written and oral communications skills essential for both university-level academic discourse as well as success outside Stevens in the professional world. Tailored to the Stevens student, styles of writing and communications include technical writing, business proposals and reports, scientific reports, expository writing, promotional documents and advertising, PowerPoint presentations, and team presentations. The course covers the strategies for formulating effective arguments and conveying them to a wider audience. Special attention is given to the skills necessary for professional document structure, successful presentation techniques and grammatical/style considerations. Close | 3 | 0 | 6 | 3 | | Total | 20 | 3 | 41 | 17 |
| | Term III | | Course # | Course Name | Lecture | Lab | Study | Credit |
|---|
| HUM | Humanities | 3 | 0 | 6 | 3 | | MA 221 | Differential EquationsOrdinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Prerequisites:MA 116, Calculus II
(4-0-8)
(Lecture-Lab-Study Hours)
Continues from MA 115 with improper integrals, infinite series, Taylor series, and Taylor polynomials. Vectors operations in 3-space, mathematical descriptions of lines and planes, and single-variable calculus for parametric curves. Introduction to calculus for functions of two or more variables including graphical representations, partial derivatives, the gradient vector, directional derivatives, applications to optimization, and double integrals in rectangular and polar coordinates.
Close |
or Calculus II
(4-0-8)
(Lecture-Lab-Study Hours)
Continues from MA 115 with improper integrals, infinite series, Taylor series, and Taylor polynomials. Vectors operations in 3-space, mathematical descriptions of lines and planes, and single-variable calculus for parametric curves. Introduction to calculus for functions of two or more variables including graphical representations, partial derivatives, the gradient vector, directional derivatives, applications to optimization, and double integrals in rectangular and polar coordinates.
Close |
Calculus of Two Variables
(4-0-8)
(Lecture-Lab-Study Hours)
Partial derivatives, the tangent plane and linear approximation, the gradient and directional derivatives, the chain rule, implicit differentiation, extreme values, application to optimization, double integrals in rectangular coordinates.
Close |
| 4 | 0 | 8 | 4 | | PEP 221 | Physics Lab I for ScientistsAn introduction to experimental measurements and data analysis. Students will learn how to use a variety of measurement techniques, including computer-interfaced experimentation, virtual instrumentation, and computational analysis and presentation. First semester experiments include basic mechanical and electrical measurements, motion and friction, RC circuits, the physical pendulum, and electric field mapping. Second semester experiments include the second order electrical system, geometrical and physical optics and traveling and standing waves. Corequisites:PEP 112Electricity and Magnetism
(3-0-6)(Lecture-Lab-Study Hours)
Coulomb’s law, concepts of electric field and potential, Gauss’ law, capacitance, current and resistance, DC and R-C transient circuits, magnetic fields, Ampere’s law, Faraday’s law of induction, inductance, A/C circuits, electromagnetic oscillations, Maxwell’s equations and electromagnetic waves.
Close |
Mechanics
(3-0-6)
(Lecture-Lab-Study Hours)
Vectors, kinetics, Newton’s laws, dynamics or particles, work and energy, friction, conserverative forces, linear momentum, center-of-mass and relative motion, collisions, angular momentum, static equilibrium, rigid body rotation, Newton’s law of gravity, simple harmonic motion, wave motion and sound.
Close |
| 0 | 3 | 1 | 1 | | MGT | Economics | 3 | 0 | 6 | 3 | | G.E. | General Elective | 3 | 0 | 6 | 3 | | Total | 13 | 3 | 27 | 14 |
| | Term IV | | Course # | Course Name | Lecture | Lab | Study | Credit |
|---|
| HUM | Humanities | 3 | 0 | 6 | 3 | | MA 227 | Multivariable CalculusReview of matrix operations, Cramer’s rule, row reduction of matrices; inverse of a matrix, eigenvalues and eigenvectors; systems of linear algebraic equations; matrix methods for linear systems of differential equations, normal form, homogeneous constant coefficient systems, complex eigenvalues, nonhomogeneous systems, the matrix exponential; double and triple integrals; polar, cylindrical and spherical coordinates; surface and line integrals; integral theorems of Green, Gauss and Stokes. Corequisites:MA 221Differential Equations
(4-0-8)(Lecture-Lab-Study Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
Close |
| 3 | 0 | 0 | 3 | | MA 222 | Probability and StatisticsIntroduces the essentials of probability theory and elementary statistics. Lectures and assignments greatly stress the manifold applications of probability and statistics to computer science, production management, quality control, and reliability. A statistical computer package is used throughout the course for teaching and for assignments. Contents include: descriptive statistics, pictorial and tabular methods, and measures of location and of variability; sample space and events, probability axioms, and counting techniques; conditional probability and independence, and Bayes' formula; discrete random variables, distribution functions and moments, and binomial and Poisson distributions; continuous random variables, densities and moments, normal, gamma, and exponential and Weibull distributions unions; distribution of the sum and average of random samples; the Central Limit Theorem; confidence intervals for the mean and the variance; hypothesis testing and p-values, and applications for the mean; simple linear regression, and estimation of and inference about the parameters; and correlation and prediction in a regression model. Prerequisites:MA 116 or Calculus II
(4-0-8)
(Lecture-Lab-Study Hours)
Continues from MA 115 with improper integrals, infinite series, Taylor series, and Taylor polynomials. Vectors operations in 3-space, mathematical descriptions of lines and planes, and single-variable calculus for parametric curves. Introduction to calculus for functions of two or more variables including graphical representations, partial derivatives, the gradient vector, directional derivatives, applications to optimization, and double integrals in rectangular and polar coordinates.
Close |
Calculus of Two Variables
(4-0-8)
(Lecture-Lab-Study Hours)
Partial derivatives, the tangent plane and linear approximation, the gradient and directional derivatives, the chain rule, implicit differentiation, extreme values, application to optimization, double integrals in rectangular coordinates.
Close |
| 3 | 0 | 6 | 3 | | PEP 222 | Physics Lab II for ScientistsAn introduction to experimental measurements and data analysis. Students will learn how to use a variety of measurement techniques, including computer-interfaced experimentation, virtual instrumentation, and computational analysis and presentation. First semester experiments include basic mechanical and electrical measurements, motion and friction, RC circuits, the physical pendulum, and electric field mapping. Second semester experiments include the second order electrical system, geometrical and physical optics and traveling and standing waves. Prerequisites:PEP 221Physics Laboratory I-II for Scientists
(0-3-0)
(Lecture-Lab-Study Hours)
An introduction to experimental measurements and data analysis. Students will learn how to use a variety of measurement techniques, including computer-interfaced experimentation, virtual instrumentation, and computational analysis and presentation. First semester experiments include basic mechanical and electrical measurements, motion and friction, RC circuits, the physical pendulum, and electric field mapping. Second semester experiments include the second order electrical system, geometrical and physical optics and traveling and standing waves.
Close |
| 0 | 3 | 1 | 1 | | Thermodynamics (2) | 3 | 0 | 6 | 3 | | Total | 12 | 3 | 19 | 13 |
| | Term V | | Course # | Course Name | Lecture | Lab | Study | Credit |
|---|
| HUM | Humanities | 3 | 0 | 6 | 3 | | MA 331 | Intermediate StatisticsAn introduction to statistical inference and to the use of basic statistical tools. Topics include descriptive and inferential statistics; review of point estimation, method of moments, and maximum likelihood; interval estimation and hypothesis testing; simple and multiple linear regression; analysis of variance and design of experiments; and nonparametric methods. Selected topics, such as quality control and time series analysis, may also be included. Statistical software is used throughout the course for exploratory data analysis and statistical inference based in examples and in real data relevant for applications. Prerequisites:MA 222Probability and Statistics
(3-0-6)
(Lecture-Lab-Study Hours)
Introduces the essentials of probability theory and elementary statistics. Lectures and assignments greatly stress the manifold applications of probability and statistics to computer science, production management, quality control, and reliability. A statistical computer package is used throughout the course for teaching and for assignments. Contents include: descriptive statistics, pictorial and tabular methods, and measures of location and of variability; sample space and events, probability axioms, and counting techniques; conditional probability and independence, and Bayes' formula; discrete random variables, distribution functions and moments, and binomial and Poisson distributions; continuous random variables, densities and moments, normal, gamma, and exponential and Weibull distributions unions; distribution of the sum and average of random samples; the Central Limit Theorem; confidence intervals for the mean and the variance; hypothesis testing and p-values, and applications for the mean; simple linear regression, and estimation of and inference about the parameters; and correlation and prediction in a regression model.
Close |
| 3 | 0 | 6 | 3 | | MA 232 | Linear AlgebraThis course introduces basic concepts of linear algebra from a geometric point of view. Topics include the method of Gaussian elimination to solve systems of linear equations; linear spaces and dimension; independent and dependent vectors; norms, inner product, and bases in vector spaces; determinants, eigenvalues and eigenvectors of matrices; symmetric, unitary, and normal matrices; matrix representations of linear transformations and orthogonal projections; the fundamental theorems of linear algebra; and the least-squares method and LU-decomposition. Prerequisites: Sophomore or higher class standing. Close | 3 | 0 | 6 | 3 | | T.E. | Technical Elective | 3 | 0 | 6 | 3 | | Total | 12 | 0 | 24 | 12 |
| | Term VI | | Course # | Course Name | Lecture | Lab | Study | Credit |
|---|
| HUM | Humanities | 3 | 0 | 6 | 3 | | PEP 242 | Modern PhysicsSimple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester. Prerequisites:PEP 112, and Electricity and Magnetism
(3-0-6)
(Lecture-Lab-Study Hours)
Coulomb’s law, concepts of electric field and potential, Gauss’ law, capacitance, current and resistance, DC and R-C transient circuits, magnetic fields, Ampere’s law, Faraday’s law of induction, inductance, A/C circuits, electromagnetic oscillations, Maxwell’s equations and electromagnetic waves.
Close |
Differential Equations
(4-0-8)
(Lecture-Lab-Study Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
Close |
| 3 | 0 | 6 | 3 | | MA 336 | Modern AlgebraA rigorous introduction to group theory and related areas with applications as time permits. Topics include proof by induction, greatest common divisor, and prime factorization; sets, functions, and relations; definition of groups and examples of other algebraic structures; and permutation groups, Lagrange's Theorem, and Sylow's Theorems. Typical application: error correcting group codes. Sample text: Numbers Groups and Codes, Humphries and Prest, Cambridge U.P. Prerequisites:MA 232Linear Algebra
(3-0-6)
(Lecture-Lab-Study Hours)
This course introduces basic concepts of linear algebra from a geometric point of view. Topics include the method of Gaussian elimination to solve systems of linear equations; linear spaces and dimension; independent and dependent vectors; norms, inner product, and bases in vector spaces; determinants, eigenvalues and eigenvectors of matrices; symmetric, unitary, and normal matrices; matrix representations of linear transformations and orthogonal projections; the fundamental theorems of linear algebra; and the least-squares method and LU-decomposition. Prerequisites: Sophomore or higher class standing.
Close |
| 3 | 0 | 6 | 3 | | MA 346 | Numerical MethodsThis course begins with a brief introduction to writing programs in a higher level language, such as Matlab. Students are taught fundamental principles regarding machine representation of numbers, types of computational errors, and propagation of errors. The numerical methods include finding zeros of functions, solving systems of linear equations, interpolation and approximation of functions, numerical integration and differentiation, and solving initial value problems of ordinary differential equations. Corequisites:MA 221Differential Equations
(4-0-8)(Lecture-Lab-Study Hours)
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.
Close |
or Calculus II
(4-0-8)
(Lecture-Lab-Study Hours)
Continues from MA 115 with improper integrals, infinite series, Taylor series, and Taylor polynomials. Vectors operations in 3-space, mathematical descriptions of lines and planes, and single-variable calculus for parametric curves. Introduction to calculus for functions of two or more variables including graphical representations, partial derivatives, the gradient vector, directional derivatives, applications to optimization, and double integrals in rectangular and polar coordinates.
Close |
Calculus of Two Variables
(4-0-8)
(Lecture-Lab-Study Hours)
Partial derivatives, the tangent plane and linear approximation, the gradient and directional derivatives, the chain rule, implicit differentiation, extreme values, application to optimization, double integrals in rectangular coordinates.
Close |
| 3 | 0 | 6 | 3 | | MA 234 | Complex Variables with ApplicationsAn introduction to functions of a complex variable. The topics covered include complex numbers, analytic and harmonic functions, complex integration, Taylor and Laurent series, residue theory, and improper and trigonometric integrals. Corequisites:MA 227Multivariable Calculus
(3-0-0)(Lecture-Lab-Study Hours)
Review of matrix operations, Cramer’s rule, row reduction of matrices; inverse of a matrix, eigenvalues and eigenvectors; systems of linear algebraic equations; matrix methods for linear systems of differential equations, normal form, homogeneous constant coefficient systems, complex eigenvalues, nonhomogeneous systems, the matrix exponential; double and triple integrals; polar, cylindrical and spherical coordinates; surface and line integrals; integral theorems of Green, Gauss and Stokes.
Close |
| 3 | 0 | 6 | 3 | | Total | 15 | 0 | 30 | 15 |
| | Term VII | | Course # | Course Name | Lecture | Lab | Study | Credit |
|---|
| HUM | Humanities | 3 | 0 | 6 | 3 | | MA 441 | Introduction to Mathematical AnalysisThis course introduces students to the fundamentals of mathematical analysis at an adequate level of rigor. Topics include fundamental mathematical logic and set theory, the real number systems, sequences, limits and completeness, elements of topology, continuity, derivatives and related theorems, Taylor expansions, the Riemann integral, and the Fundamental Theorem of Calculus. Prerequisites:MA 227Multivariable Calculus
(3-0-0)
(Lecture-Lab-Study Hours)
Review of matrix operations, Cramer’s rule, row reduction of matrices; inverse of a matrix, eigenvalues and eigenvectors; systems of linear algebraic equations; matrix methods for linear systems of differential equations, normal form, homogeneous constant coefficient systems, complex eigenvalues, nonhomogeneous systems, the matrix exponential; double and triple integrals; polar, cylindrical and spherical coordinates; surface and line integrals; integral theorems of Green, Gauss and Stokes.
Close |
| 3 | 0 | 6 | 3 | | MA 410 | Differential GeometryThis course is an introduction to the geometry of curves and surfaces. Topics include tangent vectors, tangent bundles, directional derivatives, differential forms, Euclidean geometry and calculus on surfaces, Gaussian curvatures, Riemannian geometry, and geodesics. Prerequisites:MA 227Multivariable Calculus
(3-0-0)
(Lecture-Lab-Study Hours)
Review of matrix operations, Cramer’s rule, row reduction of matrices; inverse of a matrix, eigenvalues and eigenvectors; systems of linear algebraic equations; matrix methods for linear systems of differential equations, normal form, homogeneous constant coefficient systems, complex eigenvalues, nonhomogeneous systems, the matrix exponential; double and triple integrals; polar, cylindrical and spherical coordinates; surface and line integrals; integral theorems of Green, Gauss and Stokes.
Close |
| 3 | 0 | 6 | 3 | | T.E. | Technical Elective (3) | 3 | 0 | 6 | 3 | | Total | 12 | 0 | 24 | 12 |
| | Term VIII | | Course # | Course Name | Lecture | Lab | Study | Credit |
|---|
| HUM | Humanities | 3 | 0 | 6 | 3 | | G.E. 2 | General ElectiveGeneral Education Elective Close | 3 | 0 | 6 | 3 | | T.E. | Technical Elective (4) | 3 | 0 | 6 | 3 | | T.E. | Technical Elective (4) | 3 | 0 | 6 | 3 | | T.E. | Technical Elective (4) | 3 | 0 | 6 | 3 | | Total | 15 | 0 | 30 | 15 |
| |
