Physics

- PHY 170 UNIVERSITY PHYSICS I
- PHY 171 UNIVERSITY PHYSICS II
- PHY 172 UNIVERSITY PHYSICS III
- PHY 270 UNIVERSITY PHYSICS IV
- PHY 300 METHODS OF COMPUTATIONAL AND THEORETICAL PHYSICS I
- PHY 301 METHODS OF COMPUTATIONAL AND THEORETICAL PHYSICS II

Mathematics

- 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

Sequencing of Coursework

Students interested in majoring in physics, applied computational physics, or pre-engineering should enroll in PHY 170 UNIVERSITY PHYSICS I and MAT 160 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS I in the Autumn quarter of their first year, provided they are adequately prepared in mathematics.

The sequences of PHY 170, PHY 171, and PHY 172 and MAT 160, MAT 161, and MAT 162 are prerequisites to PHY 270, PHY 300 and PHY 301, and PHY 370, which should be taken in the sophomore year together with MAT 260 and MAT 261.

It is recommended that students interested in the standard concentration or pre-engineering also take the chemistry sequence (CHE 130 and CHE 131, CHE 132 and CHE 133, CHE 134 and CHE 135) in their first year. Because of the predominance of physics, mathematics, and chemistry sequences in the freshman and sophomore years, it is crucial that Physics and Pre-Engineering majors be advised by faculty in the Physics Department as they enter DePaul.

Concentration Requirements

Students must also complete the requirements from one of the following concentrations: Standard, Computational, Engineering, or Interdisciplinary Physics. Students are limited to only declaring one concentration.

This course provides a comprehensive, calculus-based introduction to Newtonian mechanics. Topics include vectors, Newton's laws, linear and rotational motion. Course intended for majors in a physical science, required for the physics major. Laboratory fee. Autumn. COREQUISITE(S): MAT 147 or MAT 160 or MAT 170.

A continuation of PHY 170. Topics include heat, sound and light. Laboratory fee. Winter COREQUISITE(S): MAT 161 or 171 or 148.

A continuation of PHY 171. Topics include electricity and magnetism. Laboratory fee. Spring COREQUISITE(S):MAT 162 or 172 or 149.

An introduction to 20th-century physics. Topics include special relativity, quantum mechanics, and statistical analysis of data. Lab Fee Autumn

Computational and theoretical methods in ordinary differential equations, complex numbers, systems of equations, phase plane analysis, bifurcations. Applications to damped, driven oscillators, electronics. Lab Fee Winter COREQUISITE(S):MAT 261.

Fourier series, Fourier transforms, partial differential equations, Legendre polynomials, special functions. Applications to wave motion, electricity and magnetism, modern physics, optics. lab fee. Spring

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.

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.

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.

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.

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.

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.

A laboratory course covering analysis and construction of analog and digital circuits used in experimental research. lab fee

This introductory course for science majors emphasizes the composition of matter, atomic and molecular structure, bonding and chemical reactions. It is the first in the three-course sequence of General Chemistry. This course meets for three hours of lecture and one hour of discussion per week. CO-REQUISITE(S): CHE 131.

Second course of three in the General Chemistry series. Topics discussed include: common states of matter, phase transitions, properties of solutions, kinetics and equilibrium. This course meets for three hours of lecture and one hour of discussion per week. CO-REQUISITE(S): CHE133.

Third of three courses in the General Chemistry sequence. Topics included in lecture: chemical equilibrium in aqueous solution (acids and bases, solubility, complex ion formation), Thermodynamics (entropy and free energy), electrochemistry, chemistry of d-block elements and descriptive chemistry. CO-REQUISITE(S): CHE135.

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.