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Fraulein Anna , the Frau Professor 's daughter , addressed herself to him frequently from a sense of duty , but the other said little : she looked at him now and then with sparkling eyes , and sometimes to his confusion laughed outright . " In 1977-78 they agreed to give a modified Math Placement Test to the Junior year class at Westland High School . She had kept up a correspondence with Mrs. Carey , and two or three times had spent her holidays at Blackstable Vicarage , paying as was usual with the Careys ' unfrequent guests a small sum for her keep . Courses of study are available in all of the principalbranches of mathematics : algebra , analysis , applied mathematics , combinatorics , geometry , logic , group theory , number theory , probability , ergodic theory , representation theory , and topology . " Frist 's immediate inclination was wanting to do more , " said Nick Smith , Frist spokesman .