Starting Friday, July 31st at noon, DePaul websites displaying this banner will undergo scheduled maintenance. During this time some website features may be inaccessible.

- Choose one of the following three course Calculus sequences:
- Sequence One
- Sequence Two
- MAT 147 CALCULUS WITH INTEGRATED PRECALCULUS I
- MAT 148 CALCULUS WITH INTEGRATED PRECALCULUS II
- MAT 149 CALCULUS WITH INTEGRATED PRECALCULUS III
- Sequence Three
- MAT 160 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS I
- MAT 161 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS II
- MAT 162 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS III
- Sequence Four
- MAT 260 MULTIVARIABLE CALCULUS I
- MAT 261 MULTIVARIABLE CALCULUS II
- MAT 262 LINEAR ALGEBRA
- One of the following options
- MAT 215 INTRODUCTION TO MATHEMATICAL REASONING
- Discrete Mathematics Sequence
- CSC 241 INTRODUCTION TO COMPUTER SCIENCE I , or a more advanced course in any programming language.

Students must also complete the requirements from one of the following concentrations: Pure Mathematics; Statistics; Actuarial Science; Financial Mathematics; Quantitative Analysis and Operations Research; Applied and Computational Mathematics; or Individualized.

If the student chooses to declare more than one Mathematical Sciences concentration, then the student must complete the requirements for each concentration, and take at least three additional 300-level courses overall. For example, a student earning two concentrations would have taken at least nine 300-level courses, and a student earning three concentrations would have taken at least twelve 300-level courses.

If the student chooses to declare more than one Mathematical Sciences concentration, then the student must complete the requirements for each concentration, and take at least three additional 300-level courses overall. For example, a student earning two concentrations would have taken at least nine 300-level courses, and a student earning three concentrations would have taken at least twelve 300-level courses.

Limits, continuity, the derivative, rules of differentiation, applications of the derivative, extrema, curve sketching, and optimization. This course meets for an additional 1.5-hour lab session each week for enrichment and problem solving.

Definite and indefinite integrals, the Fundamental Theorem of Calculus, applications of the integral, exponential and logarithmic functions, inverse trigonometric functions, techniques of integration. This course meets for an additional 1.5-hour lab session each week for enrichment and problem solving.

L'Hopital's rule, improper integrals, sequences and series, Taylor polynomials. This course meets for an additional 1.5-hour lab session each week for enrichment and problem solving.

Limits, continuity, the derivative, rules of differentiation, and applications, with precalculus review included for each topic. The full MAT 147-8-9 sequence covers all the material of MAT 150-1-2 plus additional precalculus material.

This course concerns theoretical concepts and empirical research relating to administrative behavior in organizations with special reference to educational organizations. Concepts are examined within the typical decisional framework of supervisors, chief school business officers, principles, and superintendents, and similar positions in the helping professions. Assignments are individualized.

Limits, continuity, the derivative, rules of differentiation, applications of the derivative, extrema, curve sketching, and optimization. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth. Students considering a math major are advised to take the 160 or 170 sequence.

Definite and indefinite integrals, the Fundamental Theorem of Calculus, applications of the integral, exponential and logarithmic functions, inverse trigonometric functions, techniques of integration. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth.

L'Hopital's rule, improper integrals, sequences and series, Taylor polynomials. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth.

The course covers the following topics using examples from the sciences: Functions as models, logarithmic scale graphing, exponential growth and decay, difference equations and limits of sequences, geometric series, functions and limits, trigonometric functions and their limits, continuity, limits at infinity, the derivative, differentiation rules, derivatives of trigonometric and exponential functions, related rates, derivatives of inverse and logarithm functions. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. Students majoring in the sciences should consult with their major department to decide between the 160 and 170 sequences.

This course is designed for students in the life sciences and covers some topics from MAT 152, differential equations and an introduction to the Calculus of functions of several variables. Specific topics are as follows. Numerical integration, partial fraction expansions, Taylor approximations of a function, differential equations, separation of variables, slope fields, Euler's existence theorem, polygonal approximations to solutions of differential equations, the logistic equation and allometric growth models, equilibiria of differential equations and their stability, applications of stability theory, functions of several variables, partial derivatives, directional derivative and the gradient. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. PREREQUISITE(S): MAT 151 or MAT 161or MAT 171.

Vectors, dot and cross products, lines and planes, cylinders and quadric surfaces, vector-valued functions, parametrization of plane curves and three dimensional curves, arc length, curvature and normal vector, functions of several independent variables, partial derivatives, the chain rule, directional derivatives, differentials, extreme values.

Lagrange multipliers, double and iterated integrals, area by double integrals, triple integrals, triple integrals in cylindrical and spherical coordinates, line integrals, vector fields, conservative vector fields and potential functions, Green?s Theorem, surface integrals, Stokes? Theorem, Gauss? Theorem.

Systems of linear equations and matrices; vectors in n-space; vector spaces: linear combinations, linear independence, basis; linear transformations, change of basis, eigenvalues and eigenvectors.

An introduction to basic concepts and techniques used in higher mathematics courses: set theory, equivalence relations, functions, cardinality, techniques of proof in mathematics. The emphasis is on problem solving and proof construction by students. The department recommends that students take this course no later than the spring quarter of the sophomore year.

Combinatorics, graph theory, propositional logic, singly-quantified statements, operational knowledge of set theory, functions, number systems, methods of direct and indirect proof.

Methods of direct and indirect proof, set theoretic proofs, sequences, mathematical induction, recursion, multiply-quantified statements, relations and functions, complexity.

An introduction to problem solving, algorithms and structured programming using a higher-level programming language. The course will focus on skills for developing algorithms, and for writing and debugging programs. Students will learn how and when to use loops, conditionals, and functional abstractions in the context of problems motivated by real world applications. PREREQUISITE(S): MAT 130 or Mathematics Diagnostic Test placement into MAT 140.

Extrema, curve sketching, related rates, definite and indefinite integrals, applications of the integral, exponential and logarithmic functions, with precalculus review included for each topic.

Techniques of integration, L'Hopital's rule, improper integrals, Taylor polynomials, series and sequences, first-order differential equations, with precalculus review included for each topic.

The course covers the following topics using examples from the sciences: Applications of the derivative including approximation and local linearity, differentials, extrema and the Mean Value Theorem, monotonicity and concavity, extrema, inflection points, graphing, L'Hospital's Rule, optimization, and the Newton-Raphson method, antiderivaties, the definite integral, Riemann sums, the Fundamental Theorem of Calculus, area, cumulative change, average value of a function, and techniques of integration: substitution rule and integration by parts. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course.