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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; and pro­gres­sions. A sci­en­tific 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; and progressions. A scientific calculator is required.

A first course in dif­fer­en­tial cal­cu­lus. Top­ics in­clude func­tions, lim­its, the de­f­i­n­i­tion of the de­riv­a­tive, dif­fer­en­ti­a­tion rules, tan­gent lines, L’Hôpital’s Rule, and ap­pli­ca­tions of the de­riv­a­tive.

A first course in differential calculus. Topics include functions, limits, the definition of the derivative, differentiation rules, tangent lines, L’Hôpital’s Rule, and applications of the derivative.