 Faculty
 Field Description
 The Major in Mathematics
 The Major in Actuarial Science
 The Major in Financial Mathematics
 The Minor and Courses
 Repeat for Mastery (Precalculus) and Calculus Prerequisite Changes IMPORTANT CHANGES for AY 20182019 and AY 20192020
 Courses in Mathematics (MTH)
 Department of Mathematics Web Site
Field Description
Mathematics has been described as the queen of all sciences. Understanding mathematics enables one to explain and analyze not only science and nature but almost all disciplines from archeology to zoology. Most recently, mathematics has become an indispensable tool in finance and other business related areas. To ensure that mathematics is available for students with varied backgrounds and different professional goals, the department offers courses at all levels. Advanced courses are designed to be taken by mathematics and actuarial science majors and those in related fields.
The Majors
Mathematics
The major in mathematics is designed to enable the student to enter the marketplace (industrial or educational) or to pursue further studies in mathematics or allied fields at the graduate level. Interested students should meet with an advisor in the Department of Mathematics as early as possible for assistance in formulating an appropriate course of study.
A student majoring in mathematics cannot declare a second major in statistics.
Program Learning Goals
Upon completion of the twoyear sequence in calculus, students will be able to:
 Differentiate and integrate a wide variety of algebraic and transcendental functions;
 Apply such knowledge to a variety of verbal problems in economics, physics, and related rates;
 Develop the Taylor series expansion for functions and compute the error terms occasioned by truncation of the series to a finite number of terms;
 Use geometric vectors to prove theorems;
 Deal with functions and surfaces (areas, volumes) in 3dimensional space;
 Use other (than Cartesian) coordinate systems, especially polar coordinates, in the study of graphs and, by change of variable, to facilitate certain integrations;
 Follow subtle lines of reasoning, detect breaches of logic and validity, write sustained logical arguments;
 List several approaches to the real number system, such as Dedekind cuts, the Bolzano–Weierstrass property, the nestedinterval property, the existence of suprema and infima of bounded sets, the convergence of Cauchy sequences.
Upon completion of our courses in analysis beyond calculus, students will be able to:
 Point out the analogies—the interplay and interconnections—between corresponding realvalued functions of a real variable and complexvalued functions of a complex variable;
 Highlight some of the properties that follow from analyticity of functions on various domains;
 Perform computations with complex numbers, evaluate contour integrals, evolve Laurent series of functions;
 Show how metric spaces endowed with Euclidean and nonEuclidean metrics are particular examples of topological spaces;
 Present properties of metrizable and nonmetrizable topological spaces as generalizations of properties that originate in the set of real numbers;
 Explicate properties of connectedness and compactness in topological spaces.
Upon completion of our courses in algebra, students will be able to:
 Trace the construction of the integral domain of rational integers and the fields of rational and complex numbers by successive refinements of, and additions to, the properties of a set;
 Show how abstract initial conditions can be used to derive facts and features of a variety of algebraic structures;
 Apply abstract algebra, which had its origins and motivation in number theory, back to number theory, to elucidate numbertheoretic properties by placing them in a general (abstract) setting;
 Prove theorems about groups, rings, fields, and other algebraic structures;
 Account for the advantages of abstract formulations in mathematics;
 Define the dimension of a vector space in terms of the (unique) number of vectors in a basis, accomplish basistobasis transformations, compute characteristic values and vectors, and enumerate some of the profound connections among the invertibility of matrices, systems of linear equations, determinants, linear independence, spanning sets and bases, rank, orthogonality.
Upon completion of our courses in geometry, students will be able to:
 Discourse with authority on the impact and role of initial assumptions (postulates) on the structure of a geometrical system, mainly with reference to Lobachevskian and Riemannian geometry;
 Cite facts (theorems) of Euclidean geometry that depend on the parallel postulate and hence are absent in neutral geometry;
 Provide examples of finite and infinite incidence geometries and their isomorphisms;
 Trace some of the history of geometry, especially as it concerns attempts to prove Euclid’s parallel axiom as a consequence of the other axioms;
 Speak on difficulties encountered in endeavoring to establish the physical validity of a geometric theory – which the actual geometry of the universe is, given the homogeneity of space with respect to the parallel postulate; and of course
 Compose mathematically correct proofs of geometric statements.
Upon completion of our other classes, students will be able to:
 Solve differential equations using series expansions, Laplace transforms, and other standard techniques [differential equations];
 Enunciate properties and applications of Eulerian, Hamiltonian, connected, cyclic, acyclic, planar, traversable, and other types of graphs [graph theory];
 Approach combinatorics problems from two points of view which, when united, lead to solutions of problems in combinatorics using permutations, combinations, partitions, mathematical induction [combinatorics];
 Trace the historical development of mathematics from antiquity to the present, including contributions to that cumulative subject from various cultures and countries [history of mathematics];
 Stipulate properties and characteristics of whole numbers – divisibility, the division algorithm, Diophantine equations, unique factorization, the integers modulo n, Fermat’s theorem, Euler’s theorem, representation in different bases [theory of numbers];
 Write computer programs in a highlevel programming language to solve mathematical problems and verify their correctness, and invoke techniques of objectoriented programming to represent objects and their behaviors in code [algorithms, computers, and programming class].
Major Course Requirements
Math Program Prerequisites  
Option 1:  8 credits  
Calculus AP Exam (BC) with a score of 4 or 5 (transfers to Baruch as Calculus II)  4 credits  
And one of the following:  
Intermediate Calculus  4 credits  
or  
MultiVariable and Vector Calculus *  4 credit  
or  
Option 2:  12 credits  
Calculus AP Exam (AB) with a score of 4 or 5 (transfers to Baruch as Calculus I)  4 credits  
and  
Calculus I  4 credits  
And one of the following:  
Intermediate Calculus  4 credits  
or  
MultiVariable and Vector Calculus *  4 credits  
or  
Option 3:  12 credits  
Calculus I  4 credits  
and  
Calculus II  4 credits  
And one of the following:  
Intermediate Calculus  4 credits  
or  4 credits  
MultiVariable and Vector Calculus *  
or  
Option 4:  1213 credits  
Applied Calculus  3 credits  
or  
Applied Calculus and Matrix Applications  4 credits  
And the following two courses:  
Integral Calculus  4 credits  
Analytic Geometry and Calculus II  5 credits  
or  
Option 5:  1213 credits  
or  Applied Calculus  3 credits 
or  
Applied Calculus and Matrix Applications  4 credits  
and  
Integral Calculus  4 credits  
and  
Infinite Series  1 credit  
And one of the following:  
Intermediate Calculus  4 credits  
or  
MultiVariable and Vector Calculus *  4 credits  
or  
Option 6:  10 credits  
Analytic Geometry and Calculus I  5 credits  
Analytic Geometry and Calculus II  5 credits  
* MTH 3050 is not open to students who completed MTH 3020, MTH 3030, MTH 3035, or their equivalent.  
Required Courses All students must take the following three courses:  
Algorithms, Computers and Programming I  3 credits  
Mathematical Analysis I (formerly Advanced Calculus)  3 credits  
Linear Algebra and Matrix Methods  3 credits  
Electives Students must complete at least 15 elective credits from the following group of courses:  
Bridge to Higher Mathematics  3 credits  
Proof Writing for Mathematical Analysis  1 credit  
Topology  3 credits  
Advanced Calculus II  3 credits  
Ordinary Differential Equations  3 credits  
Introduction to Probability **  4 credits  
Numerical Methods for Differential Equations in Finance  4 credits  
Introduction to Stochastic Process  4 credits  
Mathematics of Data Analysis (formerly Mathematics of Statistics)  4 credits  
Computational Methods in Probability  3 credits  
Graph Theory  3 credits  
Mathematical Modeling *  3 credits  
Combinatorics  3 credits  
Theory of Numbers  3 credits  
Elements of Modern Algebra  3 credits  
Introduction to Modern Geometry  3 credits  
History of Mathematics  3 credits  
Differential Geometry *  3 credits  
Algorithms, Computers and Programming II  3 credits  
Methods of Numerical Analysis  3 credits  
Introduction to Mathematical Logic  3 credits  
Fundamental Algorithms  3 credits  
Actuarial Mathematics I  4 credits  
Actuarial Mathematics II  4 credits  
Mathematics of Inferential Statistics  4 credits  
ShortTerm Insurance Mathematics  4 credits  
ShortTerm Insurance Mathematics II  4 credits  
Introductory Financial Mathematics  4 credits  
Data Analysis and Simulation for Financial Engineers  4 credits  
Advanced Calculus III *  3 credits  
Theory of Functions of a Complex Variable  3 credits  
Theory of Functions of Real Variables*  3 credits  
Partial Differential Equations and Boundary Value Problems*  4 credits  
Stochastic Calculus for Finance  4 credits  
* These courses are offered infrequently, subject to student demand. ** Students may use the combination of and in the place of as elective credit toward the major. MTH 4119 must be completed as an independent study (please consult the Department of Mathematics). 
Actuarial Science
The field of actuarial science applies mathematical principles and techniques to problems in the insurance industry. Progress in the field is generally based upon completion of examination given by the Society of Actuaries. The Baruch College major is designed to prepare students to pass the P, FM, IFM (formerly MFE), LTAM (formerly MLC), and STAM (formerly C) exams offered by the Society of Actuaries. Classes are offered which fulfill current VEE (Validation by Educational Experience) requirements in economics, finance, and statistics. Students interested in this highly structured program are urged to meet with an advisor in the Department of Mathematics as early as possible for assistance in formulating an appropriate course of study.
A student majoring in actuarial science cannot minor in mathematics or declare a second major in statistics.
Program Learning Goals
Upon completion of the required core courses in actuarial mathematics, students will be able to:
 Examine and solve problems dealing with discrete and continuous probability distributions.
 Recognize when a specific probability distribution is applicable.
 Determine an appropriate distribution to model a specific scenario in a riskmanagement context.
 Compute equivalent interest and discount rates (both nominal and effective).
 Write an equation of value for a set of cash flows. Estimate effective compound yield rates for the set of cash flows using a simple interest approximation.
 Calculate present and future values for various types of annuities and perpetuities such as annuitiesdue, perpetuitiesdue, annuitiesimmediate, perpetuitiesimmediate, arithmetic or geometric annuities, and nonlevel annuities.
 Determine the payment amount for a loan with a specific repayment structure.
 Find the outstanding balance immediately after a payment on a loan.
 Calculate the amount of principal and amount of interest in a payment for an amortized loan.
 Perform an amortization on a coupon bond.
 Compute yield rates for a callable bond at each of the call dates.
 Calculate values, duration, and convexity for both zerocoupon bonds and coupon bonds.
 Use firstorder approximation methods based on duration to estimate the change in present value of a portfolio based on changes in interest rates.
 Construct an investment portfolio to immunize a set of liability cash flows.
 Calculate minimal variance portfolios with and without constraints.
 Perform pricing and hedging of European and American type derivative securities in the context of one and multiperiod binomial models.
 Construct arguments based on the noarbitrage principle, and devise arbitrage strategies when this principle is violated.
 Price European derivative securities in the context of the BlackScholes model.
 Derive a putcall parity relation, and use it for pricing and hedging.
Upon completion of elective courses in actuarial mathematics, students will be able to:
 Find closedform solutions to ordinary and partial differential equations derived from financial models.
 Derive the celebrated BlackScholes formula by solving the BlackScholes PDE.
 Compute values of European, American, and exotic options using finite difference numerical methods.
 Download options market data and use it as input for codes generating implied volatility surfaces.
 Describe and classify different kinds of shortterm insurance coverage.
 Explain the role of rating factors and exposure in pricing shortterm insurance.
 Create new families of distributions by applying the technique of multiplication by a constant, raising to a power, exponentiation, or mixing.
 Calculate various measures of tail weight and interpret the results to compare tail weights.
 Calculate risk measures, including Value at Risk and Tail Value at Risk, and explain their properties, uses, and limitations.
 Calculate premiums using the pure premium and loss ratio methods.
 Use Maximum Likelihood Estimation and Bayesian Estimation to estimate parameters for severity, frequency, and aggregate distributions for individual, grouped, truncated, or censored data.
 Use hypothesis tests (e.g., Chisquare goodnessoffit, KolmogorovSmirnov, and likelihood ratio tests) and scorebased approaches (e.g., the SchwarzBayesian Criterion, the Bayesian Information Criterion, and the Akaike Information Criterion) to perform model selection on a collection of data.
 Apply credibility models such as the Buhlmann and BuhlmannStraub models, and explicate the relationship between these models and Bayesian models.
 Explain the concepts of random sampling, statistical inference and sampling distribution.
 State and use basic sampling distributions.
 Describe and apply the main methods of estimation including matching moments, percentile matching, and maximum likelihood.
 Describe and apply the main properties of estimators including bias, variance, mean squared error, consistency, efficiency, and UMVUE.
 Construct confidence intervals for unknown parameters, including the mean, differences of two means, variances, and proportions.
 Analyze data using basic statistical inference tools like confidence intervals and hypothesis testing for the population mean.
 Apply tools such as analysis of variance, tests of significance, residual analysis, model selection, and predication in both the simple and multiple regression models.
 Demonstrate proficiency in some basic programming skills in SAS and the timeseries Forecasting interactive system. Perform timeseries analysis using these tools.
 Identify patterns in data such as trend or seasonality. Incorporate these patterns into the timeseries analysis of the data, and perform error analysis of the data.
 Explain Kmeans and hierarchical clustering, and interpret the results of a cluster analysis.
Common Objectives – Actuarial and Financial Mathematics
Upon completion of the required finance courses for the actuarial science and financial mathematics majors, students will be able to:
 Expound on the governance of corporations.
 Outline the operation of financial markets and institutions.
 Measure corporate performance.
 Analyze risk and return. Determine the opportunity cost of capital.
 Perform capital budgeting using various techniques.
 Compute the present and future values of investments with multiple cash flows.
 Describe the mechanisms that cause fluctuation of bond yields.
 Calculate internal rate of return.
 Perform and interpret scenario analysis for a proposed investment.
 Calculate financial breakeven points.
 Determine relevant cash flows for a proposed project.
 Determine a firm’s overall cost of capital.
Major Course Requirements
Math Program Prerequisites Based on placement, follow one of the following preliminary calculus options below:  
Option 1: 
 8 credits 
 Calculus AP Exam (BC) with a score of 4 or 5 (transfers to Baruch as Calculus II)  4 credits 
And one of the following: 
 
Intermediate Calculus  4 credits  
or 


MultiVariable and Vector Calculus *  4 credits  
or  
Option 2: 
 12 credits 
 Calculus AP Exam (AB) with a score of 4 or 5 (transfers to Baruch as Calculus I)  4 credits 
and 


Calculus II  4 credits  
And one of the following: 
 
Intermediate Calculus  4 credits  
or 


MultiVariable and Vector Calculus *  4 credits  
or  
Option 3: 
 12 credits 
Calculus I  4 credits  
and 


Calculus II  4 credits  
And one of the following:  
Intermediate Calculus  4 credits  
or 


MultiVariable and Vector Calculus *  4 credits  
or  
Option 4: 
 1213 credits 
/  Applied Calculus
 3 credits 
or 


Applied Calculus and Matrix Applications  4 credits  
And the following two courses:  
Integral Calculus  4 credits  
Analytic Geometry and Calculus II  5 credits  
or  
Option 5: 
 1213 credits 
/ or  Applied Calculus
Applied Calculus and Matrix Applications  3 credits
4 credits 
And 


and  Integral Calculus
Infinite Series  4 credits
1 credit 
Plus one of the following:  
Intermediate Calculus  4 credits  
MultiVariable and Vector Calculus *  4 credits  
or  
Option 6: 
 10 credits 
Analytic Geometry and Calculus I  5 credits  
Analytic Geometry and Calculus II  5 credits  
NOTE: * is not open to students who completed , , , or their equivalents.  
Business Program Prerequisites  
Principles of Accounting  3 credits  



Introduction to Business **  3 credits  
or 


Business Fundamentals: The Contemporary Business Landscape **  3 credits  



Introduction to Information Systems and Technologies **  3 credits  
MicroEconomics  3 credits  
MacroEconomics  3 credits  
Business Statistics I **  3 credits  
Principles of Finance  3 credits  
Corporate Finance  3 credits  
 
NOTES: ** Students who have completed or both and , may have the following prerequisites waived: / ; ; and . Please consult the Weissman Associate Dean’s Office (WSAS.AssocDean@baruch.cuny.edu; 6463123890; Vertical Campus, room 8265) to request registration permission.  
 
Required Courses  
Algorithms, Computers, and Programming I  3 credits  
Introduction to Probability ***  4 credits  
Theory of Interest  4 credits  
 
Students must also complete three of the following five courses:  
Actuarial Mathematics I  4 credits  
Actuarial Mathematics II  4 credits  
ShortTerm Mathematics  4 credits  
ShortTerm Mathematics II  4 credits  
Introductory Financial Mathematics  4 credits  
*** Students who have completed cannot enroll in . They must satisfy the probability requirement by registering for as an independent study (please consult the Department of Mathematics).  
 
Electives In addition, one course must be chosen from the following list of electives:  
Numerical Methods for Differential Equations in Finance  4 credits  
Introduction to Stochastic Processes  4 credits  
Mathematics of Data Analysis (formerly Mathematics of Statistics)  4 credits  
Computational Methods in Probability  3 credits  
Actuarial Mathematics I  4 credits  
Actuarial Mathematics II  4 credits  
Mathematics of Inferential Statistics  4 credits  
ShortTerm Mathematics  4 credits  
ShortTerm Mathematics II  4 credits  
Introductory Financial Mathematics  4 credits  
Data Analysis and Simulation for Financial Engineers  4 credits  
Stochastic Calculus for Finance  4 credits  



The following courses are recommended, but not required. They are not applicable toward the major.  
Intermediate MicroEconomics  3 credits  
Intermediate MacroEconomics  3 credits 
Financial Mathematics
This major is first and foremost a course of study in mathematics, with a focus on the computational tools and techniques needed to thrive in the financial engineering industry. In today’s specialized world, a sophisticated level of mathematical understanding is an essential competitive edge. As this program includes courses in Economics and Finance, students who would usually not consider a traditional mathematics major will find this program especially attractive. Interested students are urged to contact the Department of Mathematics as early as possible. The student will be assigned an advisor who will aid in formulating an appropriate course of study.
A student majoring in financial mathematics cannot minor in mathematics or declare a second major in statistics.
Program Learning Goals
Upon completion of the major in Financial Mathematics, students will be able to:
 Perform linear algebraic calculations such as matrix multiplication and inversion, solving systems of linear equations, GramSchmidt orthogonalization, Cholesky decomposition, computation of eigenvalues and eigenvectors.
 Obtain exact and numerical solutions to differential equations arising in finance such as the BlackScholes model and its corresponding partial differential equation.
 Compute implied asset price volatilities for European and American options from options market data.
 Compute empirical volatilities from asset price time series using GARCHtype models.
 Apply the fundamental notions of probability theory – including continuous and discrete random variables, expected value and variance, conditional expectation, multivariate distributions, the law of large numbers, the central limit theorem, and momentgenerating functions – to settings in finance where randomness arises, such as in the modelling of asset prices and interest rates.
 Apply the basic properties of martingales.
 Calculate minimum variance portfolios in a Markowitz and CAPM setting.
 Calculate call and put stock option values using a binomial model.
 Calculate call and put option values using the BlackScholes model.
 Compute expectation for random variables and probabilities of events pertaining to Brownian motion.
 Compute expectations of functions of Ito processes using the Ito formula.
 Apply stochastic calculus to financial situations.
 Apply the theory of Markov chains to appropriate settings. Examples include: the computation of invariant distributions, the implementation of the HastingsMetropolis algorithm, and Gibbs sampling.
 Apply the theory of arrival processes to settings such as corporate default models.
 Apply the theory of Brownian motion and related continuoustime stochastic processes such as the OrnsteinUhlenbeck process to model the evolution of correlated asset values over time as well as the evolution of the Treasury yield curve over time.
 Use tools of statistical inference in the context of financial data. These tools include Bayesian estimation, maximum likelihood estimation, multiple regression analysis, confidence intervals, the t and Fdistributions for determining statistical significance, and analysis of variance.
 Implement BlackKarasinski and HullWhite and related latticebased interest rate models to value fixedincome derivative securities like options on bonds, interest rate swaps, caps, floors, and swaptions.
 Build simulative interestrate models based on continuoustime stochastic processes to value fixedincome derivative securities.
 Build elementary computer programs in Python and C++ to simulate stochastic processes.
 Use these models to calculate a fixedincome security’s duration, convexity, and keyrate duration for hedging purposes.
Common Objectives – Actuarial and Financial Mathematics
Upon completion of the required finance courses for the actuarial science and financial mathematics majors, students will be able to:
 Expound on the governance of corporations.
 Outline the operation of financial markets and institutions.
 Measure corporate performance.
 Analyze risk and return. Determine the opportunity cost of capital.
 Perform capital budgeting using various techniques.
 Compute the present and future values of investments with multiple cash flows.
 Describe the mechanisms that cause fluctuation of bond yields.
 Calculate internal rate of return.
 Perform and interpret scenario analysis for a proposed investment.
 Calculate financial breakeven points.
 Determine relevant cash flows for a proposed project.
 Determine a firm’s overall cost of capital.
Major Course Requirements
NOTE: Depending on a student's starting mathematics proficiency, this program may require more than 120 credits to complete.  
Mathematics Program Prerequisites:  
As a preliminary requirement, students must complete the calculus requirement, which may be achieved by any one of the following six methods:  
Option 1:  
Calculus AP Exam (BC) with a score of 4 or 5 (transfers to Baruch as and )  8 credits  
MultiVariable and Vector Calculus  4 credits  
or  
Option 2:  
 Calculus AP exam (AB) with a score of 4 or 5 (transfers to Baruch as )  4 credits 
Calculus II  4 credits  
MultiVariable and Vector Calculus  4 credits  
or  
Option 3:  
Calculus I  4 credits  
Calculus II  4 credits  
MultiVariable and Vector Calculus  4 credits  
or  
Option 4:  
/  Applied Calculus  3 credits 
or  
Applied Calculus and Matrix Applications  4 credits  
and the following three courses:  
Integral Calculus  4 credits  
Analytic Geometry and Calculus II  5 credits  
Vector Calculus *  1 credit  
or  
Option 5:  
/  Applied Calculus  3 credits 
Applied Calculus and Matrix Applications  4 credits  
and the following three courses:  
Integral Calculus  4 credits  
Infinite Series  1 credit  
MultiVariable and Vector Calculus *  4 credits  
or  
Option 6:  
Analytic Geometry and Calculus I  5 credits  
Analytic Geometry and Calculus II  5 credits  
Vector Calculus *  1 credit  
Each option also requires:  
*  Bridge to Higher Mathematics  4 credits 
* NOTES:
 
Business Program Prerequisites:  
Principles of Accounting  3 credits  
MicroEconomics  3 credits  
MacroEconomics  3 credits  
BSFM students are not required to complete the following FIN 3000 course prerequisites: BUS 1000/1011; CIS 2200; and STA 2000. Please consult the Weissman Associate Dean's Office (WSAS.AssocDean@baruch.cuny.edu; 6463123890; VC 8265) to request registration permission.  
Required Finance Courses:  
Principles of Finance  3 credits  
Corporate Finance  3 credits  
Required Upperlevel Mathematics Courses:  
Algorithms, Computers, and Programming I  3 credits  
Linear Algebra  3 credits  
Numerical Methods for Differential Equations  4 credits  
Introduction to Probability *  4 credits  
Introduction to Stochastic Processes  4 credits  
Mathematics of Data Analysis (formerly Mathematics of Statistics)  4 credits  
Algorithms, Computers, and Programming II  3 credits  
Introductory Financial Mathematics  4 credits  
Data Analysis and Simulation for Financial Engineers  4 credits  
Stochastic Calculus for Finance  3 credits 
* Students who have completed cannot enroll in MTH 4120. They must satisfy the probability requirement by registering for as an independent study (please consult the Department of Mathematics). 
The Minor
The minor in mathematics provides students with a background in the various theories and uses of mathematics. The minor requires the completion of MTH 3006, MTH 3010, MTH 3020, MTH 3030, or MTH 3050, and any other 3 or 4 or 5credit mathematics course numbered 3000 or higher with the exception of
and (which are not applicable toward the minor). Students must then complete a capstone course consisting of any mathematics course at the 4000level or higher with the exceptions of , , , and (which may not be used as a capstone course).This minor is not open to students who are pursuing a major in statistics.
Required Course All students must take one of the following courses:  
Integral Calculus  4 credits  
Calculus II  4 credits  
Intermediate Calculus  4 credits  
Analytic Geometry and Calculus II  5 credits  
Multivariable and Vector Calculus  4 credits  
Electives Students must take any two other courses from the following list, with at least one of the courses being a 4000level or higher capstone course:  
Intermediate Calculus  4 credits  
Analytic Geometry and Calculus II  5 credits  
Multivariable and Vector Calculus  4 credits  
Elementary Probability  3 credits  
Algorithms, Computers and Programming I  3 credits  
Bridge to Higher Mathematics  3 credits  
Mathematical Analysis I (formerly Advanced Calculus)  3 credits  
Advanced Calculus II  3 credits  
Topology  3 credits  
Linear Algebra and Matrix Methods  3 credits  
Ordinary Differential Equations  3 credits  
Numerical Methods for Differential Equations in Finance  4 credit  
Introduction to Probability  4 credits  
Introduction to Stochastic Process  4 credits  
Mathematics of Data Analysis (formerly Mathematics of Statistics)  4 credits  
Computational Methods in Probability  3 credits  
Graph Theory  3 credits  
Mathematical Modeling *  3 credits  
Combinatorics  3 credits  
Theory of Numbers  3 credits  
Elements of Modern Algebra  3 credits  
Introduction to Modern Geometry  3 credits  
History of Mathematics  3 credits  
Differential Geometry *  3 credits  
Algorithms, Computers and Programming II  3 credits  
Methods of Numerical Analysis  3 credits  
Introduction to Mathematical Logic  3 credits  
Fundamental Algorithms  3 credits  
Actuarial Mathematics I  4 credits  
Actuarial Mathematics II  4 credits  
Mathematics of Inferential Statistics  4 credits  
ShortTerm Insurance Mathematics  4 credits  
ShortTerm Insurance Mathematics II  4 credits  
Introductory Financial Mathematics  4 credits  
Data Analysis and Simulation for Financial Engineers  4 credits  
Advanced Calculus III *  3 credits  
Theory of Functions of a Complex Variable  3 credits  
Theory of Functions of Real Variables*  3 credits  
Partial Differential Equations and Boundary Value Problems*  4 credits  
Stochastic Calculus for Finance  4 credits  
* These courses are offered infrequently, subject to student demand. 
Repeat for Mastery (Precalculus) and Calculus Prerequisite Changes
This pilot program, which consists of two parts, will run as an experiment for academic years 20182019 and 20192020.
The first part is to allow any student who earns grades of C, D, or D+ to retake precalculus to achieve greater mastery.
and (a new course effective spring 2019) are Baruch’s precalculus courses; and are the precalculus courses for which transfer students receive credit. By allowing students to repeat the course, they are provided with an opportunity to improve both their course mastery and grade. Students may also repeat epermit courses per the host college’s policies. In order to repeat any precalculus course, students must apply through the Office of the Registrar (151 East 25th Street, Room 850).Please note:
 Students will only receive credit for precalculus once.
 This proposal does not affect college policy of allowing students to take the course a maximum of three times. The policy on repeating courses covers any combination of MTH 2003 and MTH 2009, e.g., one course taken three times, or a oneandtwo combination. All combinations will be treated identically as three attempts.
 A repeat for mastery course will not be eligible for TAP or Excelsior.
 Students who earn grades of C or better in the repeated precalculus course may replace their previous passing grades in the calculation of the overall GPA. The precalculus repeat for mastery option is part of college’s existing 16credit maximum for grade replacements. It will not retroactively effect a student’s preexisting academic status. The following points should be noted:
 A maximum of 16 credits of failing and/or repeat for mastery grades may be deleted from the calculation of the cumulative GPA during an undergraduate’s enrollment in CUNY. Whether students remain at a single college or transfer from one CUNY college to another, no more than 16 credits of grades can be replaced in the calculation of the cumulative GPA. Should the 16credit limit be reached at a college other than Baruch, a student will not be permitted to replace credits at Baruch.
 For a grade of C or better to replace a grade of C, D, or D+ in the calculation of the cumulative GPA, the repeated course must be taken at Baruch. Students may repeat precalculus for mastery on permit to another institution, but the original grade will not be replaced. If a student retakes precalculus on permit at another CUNY campus, both the original and the new grade will be calculated in the overall GPA. If a student takes precalculus on permit at a nonCUNY institution, only the original grade will be calculated in the overall GPA.
 If a student has more than one repeatable precalculus grade and subsequently earns a grade of C or better in the course, the previous grades will be deleted from the calculation of the GPA, subject to the 16credit limit.
 If a student earns less than a C grade when the course is repeated or has exceeded the 16 credit limit, both grades earned will be factored into the student's GPA.
 The cumulative GPA calculated on the basis of this policy is to be used for purposes of retention and graduation from the College and the admission to and continuance in a major or specialization. It will not be used to calculate the GPA for graduation honors or the Dean’s List.
 A maximum of 16 credits of failing and/or repeat for mastery grades may be deleted from the calculation of the cumulative GPA during an undergraduate’s enrollment in CUNY. Whether students remain at a single college or transfer from one CUNY college to another, no more than 16 credits of grades can be replaced in the calculation of the cumulative GPA. Should the 16credit limit be reached at a college other than Baruch, a student will not be permitted to replace credits at Baruch.
The second part of the proposal is to include a precalculus grade prerequisite in and .
Effective fall 2018, the prerequisites for MTH 2205 and MTH 2207 are as follows:
Applied Calculus Prerequisite: MTH 2003 or MTH 2009 with a grade of C or better.
Applied Calculus and Matrix Applications Prerequisite: Placement or grade of C or better in MTH 2000 or 2001 or the equivalent.
Courses in Mathematics (MTH)
Intermediate and College Algebra  4.5 hours; 2 credits  
College Algebra  4 hours; 2 credits  
Precalculus and Elements of Calculus  4 hours; 3 credits  
Precalculus  4.5 hours; 3 credits  
Mathematics Appreciation  3 hours; 3 credits  
Mathematics and Quantitative Reasoning  4 hours; 3 credits  
Ideas in Mathematics and Their Applications  4 hours; 3 credits  
Applied Calculus  4 hours; 3 credits  
Applied Calculus  3 hours; 3 credits  
Applied Calculus and Matrix Applications  4 hours; 4 credits  
Concepts of Discrete Mathematics  3 hours; 3 credits  
Calculus I  4 hours; 4 credits  
Analytic Geometry and Calculus I  5 hours; 5 credits  
Integral Calculus  4 hours; 4 credits  
Infinite Series  1 hour; 1 credit  
Elementary Calculus II  4 hours; 4 credits  
Intermediate Calculus  4 hours; 4 credits  
Analytic Geometry and Calculus II  5 hours; 5 credits  
Vector Calculus  1 hour; 1 credit  
Actuarial Seminar: R for Actuaries  2 hours; 2 credits  
MultiVariable and Vector Calculus  4 hours; 4 credits  
Selected Topics in Discrete Mathematics  3 hours; 3 credits  
Elementary Probability  3 hours; 3 credits  
Algorithms, Computers, and Programming I  4 hours; 3 credits  
Actuarial Science Internship  1 hour; 1 credit  
Actuarial Science Internship  1 hour; 1 credit  
Actuarial Science Internship  1 hour; 1 credit  
Actuarial Science Internship  1 hour; 1 credit  
Math Internship  1 hour; 1 credit  
Math Internship  1 hour; 1 credit  
Math Internship  1 hour; 1 credit  
Math Internship  1 hour; 1 credit  
Financial Mathematics Internship  1 hour; 1credit  
Financial Mathematics Internship  1 hour; 1credit  
Financial Mathematics Internship  1 hour; 1credit  
Financial Mathematics Internship  1 hour; 1credit  
Bridge to Higher Mathematics  4 hours; 3 credits  
ProblemSolving Seminar  3 hours; 3 credits  
Proof Writing for Mathematical Analysis (formerly Proof Writing for Advanced Calculus)  1 hour; 1 credit  
Mathematical Analysis I  3 hours; 3 credits  
Advanced Calculus II  3 hours; 3 credits  
Topology  3 hours; 3 credits  
Linear Algebra and Matrix Methods  3 hours; 3 credits  
Ordinary Differential Equations  3 hours; 3 credits  
Numerical Methods for Differential Equations in Finance  4 hours; 4 credits  
Multivariate Probability Distributions  1 hour; 1 credit  
Introduction to Probability  4 hours; 4 credits  
Introduction to Stochastic Processes  4 hours; 4 credits  
Mathematics of Data Analysis (formerly Mathematics of Statistics)  4 hours; 4 credits  
Computational Methods in Probability  4 hours; 3 credits  
Graph Theory  3 hours; 3 credits  
Mathematical Modeling  3 hours; 3 credits  
Combinatorics  3 hours; 3 credits  
Theory of Numbers  3 hours; 3 credits  
Elements of Modern Algebra  3 hours; 3 credits  
Finite Fields, Algebraic Curves, and Applications  3 hours; 3 credits  
History of Mathematics  4 hours; 4 credits  
Differential Geometry  3 hours; 3 credits  
Algorithms, Computers, and Programming II  4 hours; 3 credits  
Methods of Numerical Analysis  3 hours; 3 credits  
Introduction to Mathematical Logic  4 hours; 3 credits  
Fundamental Algorithms  4 hours; 3 credits  
Switching Theory  3 hours; 3 credits  
Special Topics in Computer Science  3 hours; 3 credits  
Finite Differences  4 hours; 4 credits  
Theory of Interest  4 hours; 4 credits  
Actuarial Mathematics I  4 hours; 4 credits  
Actuarial Mathematics II  4 hours; 4 credits  
Mathematics of Inferential Statistics  4 hours; 4 credits  
ShortTerm Insurance Mathematics (formerly Risk Theory)  4 hours; 4 credits  
ShortTerm Insurance Mathematics II  4 hours; 4 credits  
Introductory Financial Mathematics  4 hours; 4 credits  
Data Analysis and Simulation for Financial Engineers  4 hours; 4 credits  
Independent Study I  Hours and credits to be arranged  
Independent Study II  Hours and credits to be arranged  
Independent Study III  Hours and credits to be arranged  
Independent Study IV  Hours and credits to be arranged  
Independent Study V  Hours and credits to be arranged  
Advanced Calculus III  3 hours; 3 credits  
Theory of Functions of a Complex Variable  3 hours; 3 credits  
Theory of Functional of Real Variables  3 hours; 3 credits  
Partial Differential Equations and Boundary Value Problems  4 hours; 4 credits  
Stochastic Calculus for Finance  4 hours; 4 credits  
Honors in Mathematics I  Hours and credits to be arranged  
Honors in Mathematics II  Hours and credits to be arranged  
Honors in Mathematics III  Hours and credits to be arranged 