PREREQUISITE: Placement
Pre-Calculus is a preparatory course for calculus. It builds upon intermediate level of algebra and makes intensive use of technology to conceptualize functions and methods of function manipulation with emphasis on quantitative change. Topics include a library of functions (linear, quadratic, exponential, logarithmic, polynomial, rational and trigonometric), transformations, compositions, inverses and combinations of functions and solving triangles. This course requires use of technology that is equal or better than TI83 graphing calculator.
COREQUISITE: SCI 206 Biomanufacturing
This is a college-level course in the mathematics needed in the modern laboratory. Topics include scientific notation and logarithms, ratios and proportions, density and unit conversions, dilution and concentration, linear and exponential graphs, data analysis and experimental design.
This course may or may not transfer to another institution of higher learning depending upon that institution’s requirements.
Prerequisite: Placement Test
Introduction to STATISTICS is a non-calculus based descriptive and inferential statistics course with applications. Topics include methods of collecting, organizing, visualizing, and interpreting data; measures of central tendency and variance for grouped and ungrouped data; elementary probability theory; binomia distributions; normal distributions; the Central Limit Theorem; Student and Chi-Squared distributions; hypothesis testing; correlation and regression analysis; and confidence intervals.
Prerequisite: Placement Test
Introduction to STATISTICS is a non-calculus based descriptive and inferential statistics course with applications. Topics include methods of collecting, organizing, visualizing, and interpreting data; measures of central tendency and variance for grouped and ungrouped data; elementary probability theory; binomia distributions; normal distributions; the Central Limit Theorem; Student and Chi-Squared distributions; hypothesis testing; correlation and regression analysis; and confidence intervals.
PREREQUISITE: MAT 103 or Placement Test.
This course introduces the concepts of limits, continuity, derivability and integration. Topics include differentiation of algebraic and transcendental functions, rules of differentiation, implicit differentiation, applications of derivative to physics and economics, Newton's method of solving equations, and the fundamental theorem of calculus. Technology will be used to aid in problem solving and understanding calculus concepts.
Prerequisite: Calculus I (W/Applications) (MAT 201)
MAT 203 is continuation of MAT201. Topics include the definition of the integral as a Riemann sum, the Fundamental Theorem of Calculus, area of a region between two curves, volumes of revolution using disk and shell methods, other applications of integration, Simpson's and Trapezoidal Rules for areas, integration by parts, integration using tables, improper integrals, and introduction to sequences and series.
PREREQUISITE: MAT 203, Placement, or Instructor approval.
MAT 205 is a continuation of MAT 203. This course extends the methods of differential and integral calculus to functions of several variables. Topics studied include: vectors in two and three dimensions, dot and cross products and their applications; equations of lines and planes, quadratic surfaces; polar, cylindrical and spherical coordinates; partial derivatives, directional derivatives and gradients; optimization problems; multiple integrals and their applications; paths in 3-space and their tangent vectors and normal planes. 4 credits.
This course studies the duality between the world of matrices used to solve linear equations and linear mappings of vector spaces. Topics include matrix algebra, Gaussian elimination, Gauss-Jordan elimination, and determinants. Finite dimension vector spaces will be introduced. Bases, linear transformations, linear dependency, and cross products will be explored. The dot product in N-dimensional space will lead to a discussion of orthogonality and eigenvalues. 4.0 credits.
Prerequisites: Calculus 1 or Instructor approval
PREREQUISITE: MAT203 Engineering Calculus II or Special Permission
Introduction to the solution of ordinary differential equations (ODEs). Topics will include Eulers method, first-order ODEs and higher order linear ODEs with constatnt coefficients, using Fourier series, using Laplace transforms, and applications.
