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Using Our Words to Change the World with Prof. Schmer­ler

Using Our Words to Change the World with Prof. Schmerler

The main top­ics of this course will be an in-depth study of func­tions: poly­no­mial func­tions, rad­i­cal func­tions, ra­tio­nal func­tions, trigono­met­ric func­tions, ex­po­nen­tial and log­a­rith­mic func­tions. We will also study con­nec­tions to vec­tors and com­plex num­bers; solv­ing trigono­met­ric equa­tions, and iden­ti­ties in­volv­ing sum, dou­ble and half-an­gle for­mu­las; and the Bi­no­mial The­o­rem.

The main topics of this course will be an in-depth study of functions: polynomial functions, radical functions, rational functions, trigonometric functions, exponential and logarithmic functions. We will also study connections to vectors and complex numbers; solving trigonometric equations, and identities involving sum, double and half-angle formulas; and the Binomial Theorem.