Sergei Artamoshin, PhD

A brief introduction to the concepts of calculus and its applications to social and scientific fields. Topics include: functions and models, derivatives of algebraic and exponential functions, optimization problems, antiderivatives, and the concept of integrals. This is the second semester of the college math sequence designed for students interested in Biology and Life Sciences. This course fulfills the general education core requirements for Biology and Life Sciences majors who matriculated prior to Fall 2012 and has been approved by University Studies Curriculum for students matriculating in Fall 2012 or later.

An intensive study of advanced algebra and trigonometry. Topics include: linear, quadratic, polynomial, rational, exponential, logarithmic and trigonometric functions, modeling and graphing these functions, and the effects of affine transformations on the graphs of functions. This course prepares students for the study of Calculus I (MTH 151 or MTH 153), which is required for majors in Mathematics, Physics, Chemistry, Engineering and Mathematical/Computational Biology. This course fulfills the general Calculus I prerequisites for Mathematics, Physics, Chemistry, Engineering and Mathematical/Computational Biology majors who matriculated prior to Fall 2012 and has been approved by University Studies Curriculum for students matriculating in Fall 2012 or later.

An intensive study of advanced algebra and trigonometry. Topics include: linear, quadratic, polynomial, rational, exponential, logarithmic and trigonometric functions, modeling and graphing these functions, and the effects of affine transformations on the graphs of functions. This course prepares students for the study of Calculus I (MTH 151 or MTH 153), which is required for majors in Mathematics, Physics, Chemistry, Engineering and Mathematical/Computational Biology. This course fulfills the general Calculus I prerequisites for Mathematics, Physics, Chemistry, Engineering and Mathematical/Computational Biology majors who matriculated prior to Fall 2012 and has been approved by University Studies Curriculum for students matriculating in Fall 2012 or later.

An intensive study of the techniques and applications of integration and infinite series. Topics include: techniques and applications of integration, improper integrals, infinite series (including convergence tests, the interval of convergence for power series, and Taylor series), an introduction to vectors, and parametric and polar equations. This is the second semester of the standard calculus sequence designed for Physics and Engineering majors in the integrated engineering curriculum. With your advisor's consent, this course may be repeated as MTH 152. This course fulfills the general education core requirements for Physics and Engineering majors who matriculated prior to Fall 2012 and has been approved by University Studies Curriculum for students matriculating in Fall 2012 or later.

An intensive study of the techniques and applications of integration and infinite series. Topics include: techniques and applications of integration, improper integrals, infinite series (including convergence tests, the interval of convergence for power series, and Taylor series), an introduction to vectors, and parametric and polar equations. This is the second semester of the standard calculus sequence designed for Physics and Engineering majors in the integrated engineering curriculum. With your advisor's consent, this course may be repeated as MTH 152. This course fulfills the general education core requirements for Physics and Engineering majors who matriculated prior to Fall 2012 and has been approved by University Studies Curriculum for students matriculating in Fall 2012 or later.

An introduction to ordinary differential equations and their analysis. Topics cover first order linear and nonlinear ordinary differential equations, second order and higher order homogeneous and nonhomogeneous linear differential equations, the linear system of ordinary differential equations, qualitative analysis, numerical solutions, series solutions.

An introduction to multivariable and vector calculus. This is the third and the final semester of the Calculus sequence. Topics cover 3-D analytical geometry, partial derivatives, directional derivatives, gradient, applications, multiple integrals, parameterized curves and surfaces, vector fields, line integrals and Green theorem, flux, and divergence, Stokes¿ and the divergence theorems. MTH 213 can be replaced by MTH 211.