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An in­tro­duc­tion to solv­ing or­di­nary dif­fer­en­tial equa­tions. Ap­pli­ca­tions to var­i­ous prob­lems are dis­cussed.

An introduction to solving ordinary differential equations. Applications to various problems are discussed.

A con­tin­u­a­tion of MAT 1475. Top­ics in­clude Tay­lor poly­no­mi­als, Mean Value The­o­rem, Tay­lor and Maclau­rin se­ries, tests of con­ver­gence, tech­niques of in­te­gra­tion, im­proper in­te­grals, areas, vol­umes and ar­clength.

A continuation of MAT 1475. Topics include Taylor polynomials, Mean Value Theorem, Taylor and Maclaurin series, tests of convergence, techniques of integration, improper integrals, areas, volumes and arclength.

Top­ics in­clude an in-depth study of func­tions such as poly­no­mial func­tions, in­verse func­tions, rad­i­cal func­tions, ra­tio­nal func­tions, trigono­met­ric func­tions, ex­po­nen­tial and log­a­rith­mic func­tions; solv­ing in­equal­i­ties; el­e­ments of vec­tors and com­plex num­bers; solv­ing trigono­met­ric equa­tions and iden­ti­ties in­volv­ing sum, dou­ble and half-an­gle for­mu­las; Bi­no­mial The­o­rem; and pro­gres­sions. A graph­ing cal­cu­la­tor is re­quired.

Topics include an in-depth study of functions such as polynomial functions, inverse functions, radical functions, rational functions, trigonometric functions, exponential and logarithmic functions; solving inequalities; elements of vectors and complex numbers; solving trigonometric equations and identities involving sum, double and half-angle formulas; Binomial Theorem; and progressions. A graphing calculator is required.