## Courses

In addition to taking an oral communications course, Business Plus students take a quantitative course of their choice from this list.

- BUSI PS5001Q Introduction to Finance ∨
- BUSI PS5003Q Corporate Finance ∨
- BUSI PS5009Q Financial Accounting ∨
- BUSI PS5040Q Security Analysis ∨
- BUSI PS4007Q Intro to Computer Science/Prog in Java ∨
- COMS S3134Q Data Structures in Java ∨
- COMS S3261Q Computer Science Theory ∨
- CSEE S4824Q Computer Architecture ∨
- ENGI S1006Q Introduction to Computing for Engineers and Applied Scientists ∨
- ECON S4625Q Economics of the Environment ∨
- MATH S1003Q College Algebra and Analytic Geometry ∨
- MATH S1101Q Calculus I ∨
- MATH S1102Q Calculus II ∨
- MATH S1201Q Calculus III ∨
- MATH S1202Q Calculus IV ∨
- MATH S2010Q Linear Algebra ∨
- MATH S3027Q Ordinary Differential Equations ∨
- MATH S4062Q Intro to Modern Analysis II ∨
- STAT S1101Q Introduction to Statistics (Without Calculus) ∨
- STAT S1201Q Introduction to Statistics (With Calculus) ∨
- STAT S4204Q Statistical Inference ∨

### BUSI PS5001Q Introduction to Finance. 3 pts.

**Course Description**

Students will be introduced to the fundamental financial issues of the modern corporation. By the end of this course, students will understand the basic concepts of financial planning, managing growth; debt and equity sources of financing and valuation; capital budgeting methods; and risk analysis, cost of capital, and the process of securities issuance.

### BUSI PS5003Q (Section 001). Corporate Finance. 3 pts.

**Prerequisite**

BUSI PS5001 Introduction to Finance/or Professor Approval is required

**Course Description**

Students will learn the critical corporate finance concepts including financial statement analysis; performance metrics; valuation of stocks and bonds; project and firm valuation; cost of capital; capital investment strategies and sources of capital, and firm growth strategies. At the end of this course students will understand how to apply these concepts to current business problems.

### BUSI PS5009Q. Financial Accounting. 3 pts.

**Prerequisite**

None

**Course Description**

Students will examine the generally accepted account principles (GAAP) underlying financial statements and their implementation in practice. The perspective and main focus of the course is from the users of the information contained in the statements, including investors, financial analysts, creditors and, management. By the end of this class students will be able to construct a cash flow statement, balance sheet and decipher a 10K report.

### BUSI PS5040Q. Security Analysis. 3 pts.

**Prerequisite**

Prerequisites: BUSI PS5001 Intro to Finance and BUSI PS5003 Corporate Finance or Professor Approval required. If you have not taken PS5001 or PS5003 at Columbia University, please contact gmm2133@columbia.edu for professor approval.

**Course Description**

Students will learn about the valuation of publicly traded equity securities. By the end of the semester students will be able to perform fundamental analysis ("bottoms-up," firm-level, business and financial analysis), prepare pro forma financial statements, estimate free cash flows and apply valuation models.

### BUSI PS4007Q. Intro to Computer Science/Prog in Java. 3 pts.

**Prerequisite**

None.

**Course Description**

This is a foundation course for learning software programming using Java (write, compile and run apps). Students are introduced to programming concepts, programming techniques, and other software development fundamentals, as well as the concepts of Object Oriented programming in Java.

### COMS S3134Q. Data Structures in JAVA. 3 pts.

**Prerequisite**

COMS W1004 or knowledge of JAVA

**Course Description**

Data types and structures: arrays, stacks, singly and doubly linked lists, queues, trees, sets, and graphs. Programming techniques for processing such structures: sorting and searching, hashing, garbage collection. Storage management. Rudiments of the analysis of algorithms. Taught in Java.

### COMS S3261Q Computer Science Theory. 3 pts.

**Prerequisite**

COMS W3203 Discrete Mathematics: Introduction to Combinatorics and Graph Theory. Corequisites: COMS W3134 Data Structures in Java, COMS W3136 Data Structures with C/C++, or COMS W3137 Honors Data Structures and Algorithms.

**Course Description**

Regular languages: deterministic and non-deterministic finite automata, regular expressions. Context-free languages: context-free grammars, push-down automata. Turing machines, the Chomsky hierarchy, and the Church-Turing thesis. Introduction to Complexity Theory and NP-Completeness.

### CSEE S4824Q Computer Architecture. 3 pts.

**Prerequisite**

None.

**Course Description**

Focuses on advanced topics in computer architecture, illustrated by case studies from classic and modern processors. Fundamentals of quantitative analysis. Pipelining. Memory hierarchy design. Instruction-level and thread-level parallelism. Data-level parallelism and graphics processing units. Multiprocessors. Cache coherence. Interconnection networks. Multi-core processors and systems-on-chip. Platform architectures for embedded, mobile, and cloud computing.

### ENGI S1006Q Introduction to Computing for Engineers and Applied Scientists. 3 pts.

**Prerequisite**

None.

**Course Description**

An interdisciplinary course in computing intended for first year SEAS students. Introduces computational thinking, algorithmic problem solving and Python programming with applications in science and engineering. Assumes no prior programming background.

### ECON S4625Q Economics of the Environment. 3 pts.

**Prerequisite**

ECON UN3211 Intermediate Microeconomics and ECON UN3213 Intermediate Macroeconomics.

**Course Description**

This course is equivalent to ECON GU4625. Microeconomics is used to study who has an incentive to protect the environment. Government’s possible and actual role in protecting the environment is explored. How do technological change, economic development, and free trade affect the environment? Emphasis on hypothesis testing and quantitative analysis of real-world policy issues.

### MATH S1003Q. College Algebra and Analytic Geometry. 3 pts.

**Prerequisite**

Prerequisites: Mathematics score of 550 on the SAT exam, taken within the past year. Recommended: MATH S0065.

**Course Description**

Algebra review, graphs and functions, polynomial functions, rational functions, conic sections, systems of equations in two variables, exponential and logarithmic functions, trigonometric functions and trigonometric identities, applications of trigonometry, sequences, series, and limits.

### MATH S1101Q (Section 2). Calculus, I. 3 pts.

**Prerequisite**

Prerequisites: high school mathematics through trigonometry or MATH S1003, or the equivalent.

**Course Description**

Functions, limits, derivatives, introduction to integrals.

### MATH S1102Q (Section 2). Calculus, II. 3 pts.

**Prerequisite**

Prerequisites: MATH S1101 Calculus I, or the equivalent.

**Course Description**

Methods of integration, applications of the integral, Taylor's theorem, infinite series.

### MATH S1201Q (Section 2). Calculus, III. 3 pts.

**Prerequisite**

MATH S1102, or the equivalent. Columbia College students who aim at an economics major AND have at least the grade of B in Calculus I may take Calculus III directly after Calculus I. However, all students majoring in engineering, science, or mathematics should follow Calculus I with Calculus II.

**Course Description**

Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramer's rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers.

### MATH S1202Q (Section 2). Calculus, IV. 3 pts.

**Prerequisite**

MATH S1201, or the equivalent

**Course Description**

Double and triple integrals. Change of variables. Line and surface integrals. Grad, div, and curl. Vector integral calculus: Green's theorem, divergence theorem, Stokes' theorem

### MATH S2010Q (Section 2). Linear Algebra. 3 pts.

**Prerequisite**

MATH S1201, or the equivalent

**Course Description**

Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.

### MATH S3027Q (Section 2). Ordinary Differential Equations. 3 pts.

**Prerequisite**

MATH S1201, or the equivalent.

**Course Description**

Equations of order one, linear equations, series solutions at regular and singular points. Boundary value problems. Selected applications.

### MATH S4062Q. Introduction to Modern Analysis, II. 3 pts.

**Prerequisite**

MATH S4061, or the equivalent with the instructor's permission

**Course Description**

Equicontinuity. Contraction maps with applications to existence theorems in analysis. Lebesgue measure and integral. Fourier series and Fourier transform

### STAT S1101Q. Introduction to Statistics (without calculus). 3 pts.

**Prerequisite**

Some high school algebra

**Course Description**

Designed for students in fields that emphasize quantitative methods. This course satisfies the statistics requirements of all majors except statistics, economics, and engineering. Graphical and numerical summaries, probability, theory of sampling distributions, linear regression, confidence intervals, and hypothesis testing are taught as aids to quantitative reasoning and data analysis. Use of statistical software required. Illustrations are taken from a variety of fields. Data-collection/analysis project with emphasis on study designs is part of the coursework requirement.

### STAT S1201Q. Introduction to Statistics (with calculus). 3 pts.

**Prerequisite**

Working knowledge of calculus (differentiation and integration)

**Course Description**

Designed for students who desire a strong grounding in statistical concepts with a greater degree of mathematical rigor than in STAT W1111. Random variables, probability distributions, pdf, cdf, mean, variance, correlation, conditional distribution, conditional mean and conditional variance, law of iterated expectations, normal, chi-square, F and t distributions, law of large numbers, central limit theorem, parameter estimation, unbiasedness, consistency, efficiency, hypothesis testing, p-value,confidence intervals. maximum likelihood estimation. Satisfies the pre-requisites for ECON W3412.

### STAT S4204Q. Statistical Inference. 3 pts.

**Prerequisite**

STAT W3105 Intro. to Probability or STAT W4105 Probability, or the equivalent.

**Course Description**

Calculus-based introduction to the theory of statistics. Useful distributions, law of large numbers and central limit theorem, point estimation, hypothesis testing, confidence intervals, maximum likelihood, likelihood ratio tests, nonparametric procedures, theory of least squares and analysis of variance.

### Program Contacts

**General Information, Admissions Questions, and Advising**

212-854-9666

businessplus@sps.columbia.edu

**Application Document Submission and Application Processing Questions**

212-854-9666

apply@sps.columbia.edu

**Mailing Address and Campus Location**

Office of Enrollment Management

School of Professional Studies

203 Lewisohn Hall

2970 Broadway, Mail Code 4119

New York, NY 10027-6902

212-854-9666

Office hours: Monday–Friday, 9:00 a.m.–5:00 p.m.