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GRADUATE COURSES

230A-230B. Latin Verse Composition.

Associate Professor RICHARDSON.

Writing of Latin hexameters, elegiacs, sapphics, asclepiads and alcaics. Seniors who have completed course 112A-112в may be admitted with the consent of the instructor.

1 hr., throughout the year, to be arranged.

234A-234B. Latin Seminar.

Associate Professor RICHARDSON.

Criticism and interpretation of the Georgics of Virgil. Training in philological method and in textual criticism. Lectures, exercises and original papers.

3 hrs., throughout the year; 3 half-year. S, 10-12; Th, 5. for higher degrees who make

266. Catiline's Conspiracy.

units first half-year; 5 units second Required normally of all candidates Latin their major subject.

Assistant Professor NUTTING.

A study, from the sources, of the causes and events of Catiline's Conspiracy. The data will be selected in part through private reading.

3 hrs., second half-year. M W F, 3.

277. Life of Caesar.

Assistant Professor DEUTSCH. Caesar's career will be studied from the sources; Suetonius' life will be studied intensively and all other important original sources investigated. Papers will be prepared by members of the course, dealing with particular periods of Caesar's life.

2 hrs., first half-year. Tu Th, 3.

283A-283B. Seminar in Classical Archaeology.

Assistant Professor WASHBURN.

Roman coins of the imperial period, of which the University owns several hundred, will be the basis of work. Required of all candidates for higher degrees who make classical archaeology their major subject.

2 hrs., throughout the year. Open to qualified seniors.

285. Advanced Latin Composition.

Assistant Professor NUTTING.

A course in composition from the point of view of teaching the subject.
Practice in making English exercises for translation into Latin.
Collection of material bearing on the style and idiom of Cicero.
1 hr., either half-year. F, 1.

SUSPENDED COURSES

The following courses will not be given in 1916-17: 107, Tacitus, Germania and Agricola; 115, Elegiac Poetry; 117, Virgil's Georgics; 118B, Suetonius; 119, Patristic Latin; 122, History of Roman Literature; 123, Tacitus, Annals; 126, Quintilian; 131, Roman Satire; 132, Bucolic Poetry; 137, Catullus; 140A, Latin Grammar, Forms; 141, Palaeography; 151, Cicero, Tusculans; 154, Ancient Rome; 156, Roman Tragedy; 162, Plautus; 176, Roman Novel; 177, Life of Caesar; 189, Introduction to Classical Archaeology; 192, Pompeii; 195, Prose Literature of Empire; 259, Latin Syntax; 260, Roman Epigraphy.

MATHEMATICS

2 MELLEN W. HASKELL, Ph.D., Professor of Mathematics.

1 CASSIUS JACKSON KEYSER, Ph.D., Adrain Professor of Mathematics, Columbia University.

GEORGE C. EDWARDS, Ph.B., Professor of Mathematics.

DERRICK N. LEHMER, Ph.D., Associate Professor of Mathematics.
CHARLES A. NOBLE, Ph.D., Associate Professor of Mathematics.

THOMAS M. PUTNAM, Ph.D., Associate Professor of Mathematics.

JOHN H. MCDONALD, Ph.D., Assistant Professor of Mathematics.

BALDWIN M. WOODS., Ph.D., Assistant Professor of Theoretical Mechanics.
BENJAMIN A. BERNSTEIN, Ph.D., Instructor in Mathematics.

FRANK IRWIN, Ph.D., Instructor in Mathematics.
THOMAS BUCK, Ph.D., Instructor in Mathematics.
HARRY N. WRIGHT, Ph.D., Instructor in Mathematics.
ARTHUR R. WILLIAMS, Ph.D., Lecturer in Mathematics.
ANNIE D. B. ANDREWS, Ph.D., Assistant in Mathematics.
ALBERT R. WAPPLE, M.A., Teaching Fellow in Mathematics.
FRANK R. MORRIS, M.A., Teaching Fellow in Mathematics.
WILLIAM F. CHENEY, Jr., A.B., Teaching Fellow in Mathematics.
JAMES S. TAYLOR, A.B., Teaching Fellow in Mathematics.
JOHN D. BARTER, A.B., Teaching Fellow in Mathematics.

FINAL EXAMINATIONS IN MATHEMATICS

All candidates for a bachelor's degree whose major subject is mathematics will be expected to pass a general examination in that subject in lieu of the examinations of the special courses of their final half-year. The examination will be partly written and partly oral, and will include the following subjects:

1. Geometry of the plane and of space, both analytic and projective. 2. The differential and integral calculus, including the elements of differential equations.

3. Algebra: theory of algebraic equations.

Students who wish to offer mathematics as a major subject must obtain permission from the department. They should elect courses 5, 6, 8, and 9 in the lower division, and must include courses 109, 111, 112, 114, and 119. Physics 105 may be included.

The department will recommend for honors at graduation students whose work in the upper division courses and in the final examination has been of distinguished excellence.

In residence first half-year only; 2, second half-year only.

Teacher's Recommendation.-Candidates for the teacher's recommendation are strongly recommended to elect courses 101A-101B, 102A-102B, or course 218A-218B. Course 6 will be required of all candidates for the certificate. The department will exact a practical test of the candidate's ability to present a clear and interesting exposition of subjects taught in the high school. Candidates who have not already passed the final examination in mathematics described above must pass that examination before being recommended for the teacher's certificate, unless they have passed with at least second grade courses 101A-101B, 102A-102B.

The University library contains an excellent collection of standard and current works in all branches of mathematics, including complete sets of nearly all the mathematical periodicals and the publications of learned societies. The department has also a good collection of geometrical models.

LOWER DIVISION COURSES

B. Solid and Spherical Geometry.

Assistant Professor McDONALD.

2 hrs, either half-year. Tu Th, 9. Course B is equivalent to matriculation subject 4b.

C. Plane and Spherical Trigonometry.

Professor EDWARDS, Dr. IRWIN, Dr. WRIGHT, Dr. ANDREWS, Mr.
WAPPLE, Mr. MORRIS, and Mr. TAYLOR.

3 hrs., either half-year. Tu Th S, 9, 10, 11. Course C includes matriculation subject 12a2.

D. Algebra.

Professor EDWARDS, Dr. IRWIN, Dr. WRIGHT, Dr. ANDREWS, Mr.
WAPPLE, Mr. MORRIS, Mr. CHENEY, and Mr. TAYLOR.

3 hrs., either half-year. Tu Th S, 9, 10, 11. Course D is substantially equivalent to matriculation subjects 4a1 and 4a2.

1. Elements of Analysis.

Associate Professor LEHMER. Fundamental ideas of algebra, trigonometry, analytic geometry, and differential and integral calculus.

5 hrs., first half-year. M Tu W Th F, 2. Students who elect course 1 are required to present 5 units of mathematics instead of 6 for the junior certificate.

2A-2B. Mathematical Theory of Investment.

Professor EDWARDS, Associate Professor PUTNAM, and Dr. IRWIN. 2 hrs., throughout the year, beginning either half-year. Tu Th, 10. Prerequisite: courses C and D. Prescribed in the College of Com

merce.

3-4. Elements of Analysis, with Applications.

Professor EDWARDS, Associate Professors LEHMER and NOBLE, Dr.
IRWIN, Dr. BUCK, Dr. BERNSTEIN, Dr. WRIGHT, Dr. ANDREWS, Mr.
WAPPLE, Mr. MORRIS, and Mr. BARTER.

A practical two-year course in algebra, analytic geometry, the differential and integral calculus, adapted particularly to the needs of students in engineering, architecture, and chemistry.

3A-3B.

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3 hrs., throughout the year, beginning either half-year. M W F, 8, 9, 10.

6 hrs., second half-year. January only.

4A-4B.

Daily at 10. For freshmen entering in

3 hrs., throughout the year, beginning either half-year. 8, 9, 10.

5. Plane Analytic Geometry.

M W F,

Associate Professor PUTNAM and Dr. ANDREWS.

The straight line, the circle, and the conic sections, including a discussion of the general equation of the second degree.

3 hrs., either half-year. M W F, 2. Prerequisite: course C.

6. Introduction to Projective Geometry.

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Assistant Professor WOODS, Dr. WRIGHT and Dr. ANDREWS.

3 hrs., either half-year. First half-year, M W F, 10; second half-year, M W F, 3. Course 6 includes matriculation subject 12a1. Required of all candidates for the teacher's recommendation.

8. Advanced Algebra.

Associate Professor PUTNAM.

Permutations and combinations, probabilities, convergency of series,

complex numbers.

3 hrs., first half-year. M W F, 3.

9. Introduction to Differential and Integral Calculus.

Professor HASKELL and Dr. IRWIN.

3 hrs., either half-year. First half-year, M W F, 9; second half-year, M W F, 10. Prerequisite: course 5.

UPPER DIVISION COURSES

These courses are open to students in the lower division who have the necessary prerequisites.

101A-101B. Elementary Geometry for Advanced Students.

Assistant Professor MCDONALD.

An historical and critical review of elementary geometry from the earliest times to the present, with particular emphasis on recent developments.

3 hrs., throughout the year. M W F, 9. Prerequisite: courses 5 and 6.

102A-102B. Elementary Algebra and Analysis for Advanced Students. Associate Professor NOBLE.

An historical and critical account of the development of algebra and analysis from the Middle Ages to the present, with particular reference to modern points of view.

3 hrs., throughout the year. M W F, 2. Prerequisite: courses 8 and 9.

109A-109B. Differential and Integral Calculus: Advanced Course.

Assistant Professor McDONALD and Dr. IRWIN.

3 hours throughout the year, beginning either half-year. First halfyear, M W F, 10; second half-year, M W F, 9. Prerequisite: course 9.

110A. Advanced Calculus.

Associate Professor NOBLE, Assistant Professor WOODS and
Dr. BUCK.

The differential equations, both ordinary and partial, which occur most frequently in the applications, with special stress on approximate numerical solutions. Primarily for students of engineering.

2 hrs., first half-year. Tu Th, 8, 9.

110B. Advanced Calculus

Assistant Professor WOODS and Dr. BUCK.

Definite integrals, multiple integrals, theory and use of infinite series, applications to practical problems.. Primarily for students of engineering.

2 hrs., second half-year. Tu Th, 8, 9.

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3 hrs., first half-year. M W F, 9. Prerequisite: course 6.

114. Analytic Geometry. (Advanced Course.)

Associate Professor PUTNAM.

Introduction to modern methods in analytic geometry, especially with reference to algebraic plane curves.

3 hrs., second half-year. M W F, 2. Prerequisite course 5.

115. Theory of Numbers.

Dr. WRIGHT.

Elementary properties of numbers, theory of congruences, residues of powers, primitive roots, quadratic forms.

3 hrs., second half-year. M W F, 9.

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