University Studies: Quantitative Reasoning AA Degree
University Studies – 18 Unit Emphasis | SC Program: AA.1503
The quantitative reasoning emphasis is a flexibly designed option which, with proper counseling, provides transfer coursework toward majors in computer science and math.
Choose your path
Map your education by viewing the program map for the degree or certificate you’re interested in earning below. Meet with a counselor to create your official comprehensive education plan.
A program map shows all the required and recommended courses you need to graduate and a suggested order in which you should take them. The suggested sequence of courses is based on enrollment and includes all major and general education courses required for the degree.
Fall Semester, First Year
15 Units TotalIn this course, students receive instruction in academic reading and writing, including writing processes, effective use of language, analytical thinking, and the foundations of academic research. An argumentative research essay is required for the successful completion of the course. This course may be offered in a distance education format.
A first course in differential and integral calculus of a single variable. Topics include limits and continuity of functions, techniques and applications of differentiation, an introduction to integration, and the Fundamental Theorem of Calculus. This course is primarily intended for Science, Technology, Engineering, and Mathematics (STEM) majors. This course may be offered in a distance education format.
Spring Semester, First Year
16 Units TotalThis course is a survey of inorganic chemistry and some organic chemistry suitable for agriculture and nursing students. The basic fundamentals of the metric system, chemical nomenclature, atomic and molecular structure, chemical reactions, energy changes, states of matter, solutions, chemical equilibria and kinetics, and organic functional groups are presented. The quantitative nature of chemistry is developed by introduction of the Avogadro's number and the mole and continuing with stoichiometry, gas law, solution concentrations, and pH calculations. The lecture/discussion portion of this course may be offered in a distance learning format.
A second course in differential and integral calculus of a single variable. Topics include applications of integration, techniques of integration, infinite sequences and series, and the calculus of parametric and polar equations. This course is primarily intended for Science, Technology, Engineering, and Mathematics (STEM) majors. This course may be offered in a distance education format.
Fall Semester, Second Year
15 Units TotalThis course covers vectors in two and three dimensions, multi-variable functions, partial differentiation, multiple integrals, line integrals, divergence, gradient, curl, Stokes' Theorem, Divergence Theorem, and Green's Theorem. This course may be offered in a distance education format.
Spring Semester, Second Year
14 Units TotalThis course is an introduction to ordinary differential equations, using qualitative, numerical, and analytic methods to investigate solutions. The course covers first order equations, systems of first order equations, and linear second order equations. Topics include matrix methods, use of complex variables, Laplace transforms, and series solutions. Applications involving modeling with differential equations are included throughout the course. This course may be offered in a distance education format.
Please see a counselor to discuss options for meeting general education requirements for transfer to California State Universities (CSU) and/or University of California (UC) campuses, as well as any specific additional courses that may be required by your chosen institution of transfer.
*Alternative Courses: Please see a Shasta College counselor for alternative course options. You can also view the following to find other courses to meet degree/certificate requirements:
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