
Term I  Course #  Course Name  Lecture  Lab  Study  Credit 

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 (031)(LectureLabStudy Hours) Laboratory work to accompany CH 115: experiments of atomic spectra, stoichiometric analysis, qualitative analysis, and organic and inorganic syntheses, and kinetics. Close 
Close  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 (306)(LectureLabStudy 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 
CH 107General Chemistry IA (000)(LectureLabStudy 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 
Close  0  3  1  1  MA 121  Differential CalculusLimits, the derivatives of functions of one variable, differentiation rules, applications of the derivative. This is a seven week course. Prerequisites:MA 120Introduction to Calculus (400)
(LectureLabStudy 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. This is a seven week course. Close 
Close  4  0  8  2  MA 122  Integral CalculusDefinite integrals of functions of one variable, antiderivatives, the Fundamental Theorem, integration techniques, improper integrals, applications. This is a seven week course. Prerequisites:MA 121Differential Calculus (408)
(LectureLabStudy Hours)
Limits, the derivatives of functions of one variable, differentiation rules, applications of the derivative. This is a seven week course. Close 
Close  4  0  8  2  CS 115  Introduction to Computer ScienceThis is an introduction to computer science with an emphasis on programming. The topics include: design; algorithmic thinking; recursion; objectoriented programming; ethics in computer science; and some basics about computer systems: machine language, interpreters, compilers, and data representation. Close  3  2  8  4  PEP 111  MechanicsVectors, kinetics, Newton’s laws, dynamics or particles, work and energy, friction, conserverative forces, linear momentum, centerofmass 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 (408)(LectureLabStudy 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 
Close  3  0  6  3  CAL 103 OR CAL 105  Writing And Communications ColloquiumThis course empowers students with the written and oral communications skills essential for both universitylevel 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  20  5  43  18 
 Term II  Course #  Course Name  Lecture  Lab  Study  Credit 

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 (306)
(LectureLabStudy 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 
CH 107General Chemistry IA (000)
(LectureLabStudy 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 
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, acidbase titrations, thermodynamic properties, electrochemical cells, and properties of chemical elements. Corequisites:CH 116General Chemistry II (306)(LectureLabStudy 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 
Prerequisites:CH 117General Chemistry Laboratory I (031)
(LectureLabStudy Hours) Laboratory work to accompany CH 115: experiments of atomic spectra, stoichiometric analysis, qualitative analysis, and organic and inorganic syntheses, and kinetics. Close 
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. 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. This is a seven week course. Prerequisites:MA 122 or Integral Calculus (408)
(LectureLabStudy Hours)
Definite integrals of functions of one variable, antiderivatives, the Fundamental Theorem, integration techniques, improper integrals, applications. This is a seven week course. Close 
MA 115Calculus I (000)
(LectureLabStudy Hours)
An introduction to differential and integral calculus for functions of one variable. Begins with limits and continuity, and ends with integration techniques and applications of the definite integral. As of Fall 2012, MA 115 is replaced by the sequence MA 121 and MA 122. Close 
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. This is a seven week course. Prerequisites:MA 123Series, Vectors, Functions, and Surfaces (408)
(LectureLabStudy Hours)
Taylor polynomials and series, functions of two and three variables, linear functions, implicit functions, vectors in two and three dimensions. This is a seven week course. Close 
Close  4  0  8  2  PEP 112  Electricity and MagnetismCoulomb’s law, concepts of electric field and potential, Gauss’ law, capacitance, current and resistance, DC and RC 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 (408)
(LectureLabStudy 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 
PEP 111, Mechanics (306)
(LectureLabStudy Hours) Vectors, kinetics, Newton’s laws, dynamics or particles, work and energy, friction, conserverative forces, linear momentum, centerofmass and relative motion, collisions, angular momentum, static equilibrium, rigid body rotation, Newton’s law of gravity, simple harmonic motion, wave motion and sound. Close 
MA 122Integral Calculus (408)
(LectureLabStudy Hours)
Definite integrals of functions of one variable, antiderivatives, the Fundamental Theorem, integration techniques, improper integrals, applications. This is a seven week course. Close 
Close  3  0  6  3  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 universitylevel 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 

MA 221  Differential EquationsOrdinary differential equations of first and second order, homogeneous and nonhomogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundaryvalue problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Prerequisites:MA 116 or Calculus II (408)
(LectureLabStudy Hours) Continues from MA 115 with improper integrals, infinite series, Taylor series, and Taylor polynomials. Vectors operations in 3space, mathematical descriptions of lines and planes, and singlevariable 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 
MA 124Calculus of Two Variables (408)
(LectureLabStudy 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. This is a seven week course. Close 
Close  4  0  8  4  MA 134  Discrete MathematicsThis course provides the background necessary for advanced study of mathematics or computer science. Topics include propositional calculus, predicates and quantifiers, elementary set theory, countability, functions, relations, proof by induction, elementary combinatorics, elements of graph theory, mends, and elements of complexity theory. Close  3  0  6  3  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 computerinterfaced 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 (306)(LectureLabStudy Hours) Coulomb’s law, concepts of electric field and potential, Gauss’ law, capacitance, current and resistance, DC and RC 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 
Prerequisites:PEP 111Mechanics (306)
(LectureLabStudy Hours) Vectors, kinetics, Newton’s laws, dynamics or particles, work and energy, friction, conserverative forces, linear momentum, centerofmass and relative motion, collisions, angular momentum, static equilibrium, rigid body rotation, Newton’s law of gravity, simple harmonic motion, wave motion and sound. Close 
Close  0  3  1  1   Humanities  3  0  6  3  CS 284  Data StructuresThis is a course on standard data structures, including sorting and searching and using the Java language. The topics include: stages of software development; testing; UML diagrams; elementary data structures (lists, stacks, queues, and maps); use of elementary data structures in application frameworks; searching; sorting; and introduction to asymptotic complexity analysis. Corequisites:CS 135Discrete Structures (328)(LectureLabStudy Hours) The aim of this course is to integrate knowledge of basic mathematics with the problems involving specification, design, and computation. By the end of the course, the student should be able to: use sets, functions, lists, and relations in the specification and design of problems; use properties of arithmetic, modular arithmetic (sum, product, exponentiation), prime numbers, greatest common divisor, factoring, Fermat?s little theorem; use binary, decimal, and baseb notation systems and translation methods; use induction to design and verify recursive programs; and implement in Scheme all algorithms considered during the course. Close 
Prerequisites:CS 115Introduction to Computer Science (328)
(LectureLabStudy Hours)
This is an introduction to computer science with an emphasis on programming. The topics include: design; algorithmic thinking; recursion; objectoriented programming; ethics in computer science; and some basics about computer systems: machine language, interpreters, compilers, and data representation. Close 
Close  2  2  8  4   Total  12  5  29  15 
 Term IV  Course #  Course Name  Lecture  Lab  Study  Credit 

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 (408)(LectureLabStudy Hours) Ordinary differential equations of first and second order, homogeneous and nonhomogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundaryvalue problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Close 
Prerequisites:MA 124 or Calculus of Two Variables (408)
(LectureLabStudy 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. This is a seven week course. Close 
MA 116Calculus II (000)
(LectureLabStudy Hours)
Improper integrals, infinite series. Taylor series, vector operations in 3D, calculus for functions of two and three variables including graphical representations, partial derivatives, the gradient, optimization, iterated integrals in rectangular and polar coordinates and applications of double integrals. As of Spring 2013 MA116 is replaced by the sequence MA123 and MA124. Close 
Close  3  0  6  3   Thermodynamics  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 computerinterfaced 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 III for Scientists (030)
(LectureLabStudy Hours) An introduction to experimental measurements and data analysis. Students will learn how to use a variety of measurement techniques, including computerinterfaced 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 
Close  0  3  1  1   Humanities  3  0  6  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. 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 pvalues, 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 (408)
(LectureLabStudy Hours) Continues from MA 115 with improper integrals, infinite series, Taylor series, and Taylor polynomials. Vectors operations in 3space, mathematical descriptions of lines and planes, and singlevariable 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 
MA 124Calculus of Two Variables (408)
(LectureLabStudy 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. This is a seven week course. Close 
Close  3  0  6  3  CS 385  AlgorithmsThis is a course on more complex data structures, and algorithm design and analysis, using the C language. Topics include: advanced and/or balanced search trees; hashing; further asymptotic complexity analysis; standard algorithm design techniques; graph algorithms; complex sort algorithms; and other "classic" algorithms that serve as examples of design techniques. Prerequisites:CS 181 or Introduction to Computer Science Honors I (320)
(LectureLabStudy Hours) Getting acquainted with C++: data types, input and output, functions, writing simple C++ programs, flow control, Boolean expressions, decision statements, if/then, and switch/case. Loop operations, while, do/while, and for loops. Arrays and pointers. Defining structs and classes, constructors and destructors, and operator overloading using an example String class. Templates. Abstract data types: vectors, lists, stacks, queues, and priority trees with applications. Trees and simple sorting with searching algorithms. By invitation only. Students who complete this class are exempt from CS 115 and CS 284. Close 
CS 284Data Structures (228)
(LectureLabStudy Hours) This is a course on standard data structures, including sorting and searching and using the Java language. The topics include: stages of software development; testing; UML diagrams; elementary data structures (lists, stacks, queues, and maps); use of elementary data structures in application frameworks; searching; sorting; and introduction to asymptotic complexity analysis. Close 
Close  4  0  8  4   Total  16  3  33  17 
 Term V  Course #  Course Name  Lecture  Lab  Study  Credit 

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 leastsquares method and LUdecomposition. Prerequisites: Sophomore or higher class standing. Close  3  0  6  3  T.E.  Technical Elective  3  0  6  3   Humanities  3  0  6  3  MGT  Economics  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 222 or Probability and Statistics (306)
(LectureLabStudy 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. 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 pvalues, 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 
E 243Probability and Statistics for Engineers (306)
(LectureLabStudy Hours) Descriptive statistics, pictorial and tabular methods, measures of location and of variability, sample space and events, probability and independence, Bayes' formula, discrete random variables, densities and moments, normal, gamma, exponential and Weibull distributions, distribution of the sum and average of random samples, the central limit theorem, confidence intervals for the mean and the variance, hypothesis testing and pvalues, applications for prediction in a regression model. A statistical computer package is used throughout the course for teaching and for project assignments. Close 
Close  3  0  6  3   Total  15  0  30  15 
 Term VI  Course #  Course Name  Lecture  Lab  Study  Credit 

PEP 242  Modern PhysicsSimple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; waveparticle 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 np junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester. Prerequisites:PEP 112, and Electricity and Magnetism (306)
(LectureLabStudy Hours) Coulomb’s law, concepts of electric field and potential, Gauss’ law, capacitance, current and resistance, DC and RC 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 
MA 221Differential Equations (408)
(LectureLabStudy Hours) Ordinary differential equations of first and second order, homogeneous and nonhomogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundaryvalue problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Close 
Close  3  0  6  3  T.E.  Technical Elective  3  0  6  3   Humanities  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. Prerequisites:MA 116 or Calculus II (408)
(LectureLabStudy Hours) Continues from MA 115 with improper integrals, infinite series, Taylor series, and Taylor polynomials. Vectors operations in 3space, mathematical descriptions of lines and planes, and singlevariable 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 
MA 124Calculus of Two Variables (408)
(LectureLabStudy 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. This is a seven week course. Close 
Close  3  0  6  3   Total  12  0  24  12 
 Term VII  Course #  Course Name  Lecture  Lab  Study  Credit 

T.E.  Technical Elective  3  0  6  3  T.E.  Technical Elective  3  0  6  3  GE  Elective 2  3  0  6  3   Humanities  3  0  6  3   Total  12  0  24  12 
 Term VIII  Course #  Course Name  Lecture  Lab  Study  Credit 

T.E.  Technical Elective  3  0  6  3  T.E.  Technical Elective  3  0  6  3  GE  Elective 2  3  0  6  3   Humanities  3  0  6  3   Total  12  0  24  12 
 