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260A. Seminar in Roman Epigraphy.

Assistant Professor PRICE.

Lectures on epigraphy, and exercises in interpretation of inscriptions, printed and in squeezes and fac-similes. Open also to qualified seniors.

3 hrs., first half-year. W, 4; F, 4-6.

260B. Seminar in Roman Epigraphy.

Continuation of course 260A.

3 hrs., second half-year, to be arranged.

Assistant Professor PRICE.

266. Catiline's Conspiracy. Seminar. 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.

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.

2 hrs., either half-year. F, 1, and a second hour.

MATHEMATICS

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

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 and Assistant Examiner of Schools.

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

JOHN H. MCDONALD, Ph.D., Assistant Professor of Mathematics.
CHARLES E. BROOKS, Ph.D., Assistant Professor of Mathematics and
Insurance.

BENJAMIN A. BERNSTEIN, Ph.D., Instructor in Mathematics.

BALDWIN M. WOODS, Ph.D., Assistant Professor of Theoretical Mechanics. FRANK IRWIN, Ph.D., Instructor in Mathematics.

THOMAS BUCK, Ph.D., Instructor in Mathematics.

HARRY N. WRIGHT, Ph.D., Instructor in Mathematics.

GUSTAV F. MICHELBACHER, M.S., Lecturer in Mathematics and Insurance. ANNIE D. B. ANDREWS, Ph.D., Teaching Fellow in Mathematics.

ARTHUR L. MCCARTY, M.A., Teaching Fellow in Mathematics.

ALBERT R. WAPPLE, M.A., Teaching Fellow in Mathematics.

C. T. LEVY, 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.

Teacher's Certificates.--Candidates for the teacher's certificate are strongly recommended to elect courses 101A-101B, 102A-102B, or course 218A-218B. Course 6 will be required of all candidates for the cer

tificate. 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.

A. Graphic Algebra.

LOWER DIVISION COURSES

Dr. WRIGHT, Dr. ANDREWS, Mr. LEVY, and Mr. MCCARTY. 2 hrs., either half-year. Tu Th, 10, 11. Course A is equivalent to matriculation subject 4a1.

B. Solid and Spherical Geometry.

Assistant Professor MCDONALD.

2 hrs., either half-year. First half-year, Tu Th, 9; second half-year, Tu Th, 10. Course B is equivalent to matriculation subject 4b.

C. Plane Trigonometry.

Associate Professors NOBLE and PUTNAM, Dr. BERNSTEIN, Dr. WRIGHT, Dr. ANDREWS, Mr. WAPPLE, Mr. LEVY, and Mr. MCCARTY.

2 hrs., either half-year. Tu Th, 9, 10, 11. Course C is equivalent to matriculation subject 12a2.

F. Algebraic Theory.

Dr. WRIGHT. Equivalent to matriculation subject 4a2. Prerequisite: matriculation subject 4a1. Open only to students in the colleges of engineering. 2 hrs., either half-year. Tu Th, 11.

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.

2A-2B. Mathematical Theory of Investment.

Dr. IRWIN.

2 hrs., throughout the year. Tu Th, 10. Prerequisite: courses A, C, and F. Prescribed in the College of Commerce.

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. LEVY, and Mr. MCCARTY.

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. Daily at 10. For freshmen entering in January only.

4A-4B.

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

5. Plane Analytic Geometry.

Assistant Professor McDONALD 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: courses A and C.

6. Introduction to Projective Geometry.

Associate Professor LEHMER and Assistant Professor WooDs.

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

8. College Algebra.

Dr. BUCK and Dr. ANDREWS.

3 hrs., either half-year. First half-year, Tu Th S, 9; second half-year, M W F, 3. Prerequisite: courses A and C.

9. Differential Calculus.

Professor HASKELL and Associate Professor PUTNAM.

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.

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MAJOR COURSES

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.

109. Integral Calculus.

Associate Professor PUTNAM and Assistant Professor McDONALD.

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

110A. Advanced Calculus.

Professor EDWARDS, 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, 10.

110в. Advanced Calculus.

Professor EDWARDS, 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, 10.

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

114. Analytic Geometry. (Advanced Course.)

Dr. IRWIN.

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.

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