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Columbia Economists

Columbia Economics. Mathematical Economics. Hotelling. Class Rolls 1931-1944

Hotelling’s students included the communist and later Soviet agent Victor Perlo (1932-33) and three Nobel prize winners in economics, Milton Friedman (1933-34), William Vickrey (Winter session 1935-36) and Kenneth Arrow (Winter session 1940-41).  Friedman’s and Arrow’s student notes for this course with Hotelling can be found at the Hoover Archives and the Duke Economist Papers Project, respectively. 

Course outlines and a final examination for Hotelling’s course as taught at the University of North Carolina in 1946 and 1950 has been posted. Here is a link to the posting of a list of statistics and economics courses taught at Columbia by Harold Hotelling.

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Econ 312. Mathematical Economics

Winter Session, 1931-32
Benitz, Paul A.
Kelly, Thomas H.
Metzger, Henry W.
Pabst, William R., Jr.
Wu, Kan
Columbia College Madow, William
School of Business Otto, Erich A.
School of Business Stein, Arthur
Econ 314. Mathematical Economics Spring Session, 1931-32
Benitz, Paul A.
Duncan, Acheson Johnston
Kelly, Thomas H.
Pabst, William R. (Jr)
Metzger, Henry W.
Econ 313. Mathematical Economics Winter session, 1932-33
Lawson, Alfred
Perlo, Victor
Preinreich, Gabriel A.D.
Weyl, Nathaniel
Econ 314. Mathematical Economics  Spring Session, 1932-33
Perlo, Victor
Preinreich, Gabriel A. D.
Weyl, Nathaniel
Econ 117. Mathematical Economics Winter session, 1933-34
Dodwell, David W.
Edmondson, Susanna P.
Friedman, Milton
Goldberg, Henry
Madow, William G.
Vass, Laurence C.
School of Business Osborne, Ernest L.
Econ 118. Mathematical Economics Spring Session, 1933-34
Edmondson, Susanne P.
Friedman, Milton
Goldberg, Henry
Vass, Laurence C.
Econ 117. Mathematical Economics Winter Session, 1934-35
Bonis, Austin J.
Frankel, Lester R.
Wright, Charles A.
Econ 118. Mathematical Economics Spring Session, 1934-35
  Bonis, Austin J.
Frankel, Lester R.
Machol, Richard M.
Richards, Margaret H.
Romig, Harry G.
Solomons, Leonard M.
Wright, Charles A.
Econ 117. Mathematical Economics Winter Session, 1935-36
Bennett, Rollin F.
Fabricant, Solomon
Hilfer, Irma
Jacobson, Katharine
Norton, John D.
Vickrey, William
Wallis, W. Allen
Econ 117. Mathematical Economics Class rolls not found for 1936-37
Econ 117. Mathematical Economics Not offered 1937-38
Econ 117. Mathematical Economics Winter Session, 1938-39
Dejongh, Theunis W
Durand, David
Friedman, Irma D.
Geisler, Murray A.
Gould, Jacob M.
King, Frederick G.
Schwartz, Seymour
Shulman, Harry
Columbia College Klarman, Herbert
Teachers College Recht, Leon Samuel
Econ 117. Mathematical Economics Winter Session, 1939-40
Bennett, Blair M.
Nassimbene, Raymond
Pascale, Henry
Columbia College Schwartz, Harry
Econ 117. Mathematical Economics Winter Session, 1940-41
Arrow, Kenneth J.
Berger, Richard
Cohen, Leo
Divatia, Makarand V.
Fischer, Harry S.
Haines, Harold
Konijn, Hendrik S.
Peiser, Donald E.
School of Business Ballentine, George A.
Econ 117. Mathematical Economics Winter Session, 1941-42
Diamond, Harold S.
Peach, Paul
Ravitsky, Inda
Reder, Melvin W.
Sievers, Allen M.
School of Business Cooper, William W.
School of Business Morrison, Lachlan
Econ 117. Mathematical Economics Winter Session, 1942-43
Boyd, Elizabeth N.
D’Errico, John E.
Simpson, Elizabeth T.
Simpson, William B.
Columbia College Tenenbaum, Warren S.
School of Business Lopata, Simon
Econ 117. Mathematical Economics Winter Session, 1943-44
Hsieh, Kia
Lindsey, Fred D.
Owlett, Ann M.
Straus, Everett M.
Ullman, Joseph L.
School of Business

Varon, Frank R.

Source: Assembled from the student registration cards. Columbia University. Rare Book & Manuscript Library. Hotelling Papers, Box 48, Folder Mathematical Economics (1).

Categories
Chicago Courses

Chicago Economics. Reading Assignments, Economic Theory (Econ 301). Viner, Fall 1932

In Milton Friedman’s papers at the Hoover Institution Archives there is a one page handwritten list of reading assignments for Jacob Viner’s Economics 301 (Economic Theory) in Box 5, Folder 12 and a one page typed list of reading assignments for the course, Box 5 Folder 13, that is nearly identical (with only two discrepancies) to the reading list “reproduced exactly from the document that the editors have in their possession” in the appendix to Jacob Viner: Lectures in Economics 301. Douglas A. Irwin and Steven G. Medema, editors. Transaction Publishers, 2013. The lecture notes taken by Marshall D. Ketchum that have been published by Irwin and Medema were taken in the Summer Quarter 1930, two years before Milton Friedman took the course in the Fall Quarter 1932. Everything below in brackets are my additions/annotations.

______________________

[Handwritten notes by Milton Friedman]

Assignments given by Viner in 301, 1932

Marshall        Bk III  ch 3 + 4Bk V ch 1 + 2

[Alfred Marshall, Principles of Economics (London: Macmillan and Co. 8th ed. 1920).
Book III: On wants and their satisfaction.
Chapter 3: Gradations of consumers’ demand;
Chapter 4: The elasticity of wants.
Book V: General relations of demand, supply and value.
Chapter 1: Introductory. On markets;
Chapter 2: Temporary equilibrium of demand and supply.]

Schultz           Meaning of st[atistical] de[mand] cur[ves] pp 1-10; 25-41.

[Henry Schultz. Statistical Laws of Demand and Supply with Special Application to Sugar. Chicago: University of Chicago Press. 1928. 118 pages]

Mars[hall]      Bk V ch 3, 4, 5, 12App H

[Book V: General relations of demand, supply and value.
Chapter 3: Equilibrium of normal demand and supply;
Chapter 4: The investment and distribution of resources;
Chapter 5: Equilibrium of normal demand and supply, cont., with reference to long and short periods;
Chapter 12: Equilibrium of normal demand and supply, cont., with reference to the law of increasing returns.
Appendix H: Limitations of the use of statical assumptions in regard to increasing return.]

Viner             Cost Curves […]

[…and Supply Curves, Zeitschrift für Nationalökonomie. Bd. 3, H. 1 (1931), pp. 23-46]

Cunynghame “Geometrical Political Economy”, ch. 3

[Henry H. Cunynghame. A Geometrical Political Economy: Being an Elementary Treatise on the Method of Explaining Some of the Theories of Pure Economic Science by Means of Diagrams, Oxford at the Clarendon Press. 1904.
Chapter 3: Demand curve.]

Smart, Introduction to theory of value     pp. 64-83

[Smart, William (1891). An Introduction to the Theory of Value on the Lines of Menger, Wieser, and Böhm-Bawerk. London and New York, Macmillan and Co. 1891.
Chapter 12: Cost of production;
Chapter 13: From marginal products to cost of production;
Chapter 14: From cost of production to product;
Conclusion.]

Böhm-Bawerk:

Ultimate standard of value”, Annals of Am[erican] Academy Sept. [sic] 1894

[Eugen von Böhm-Bawerk. The ultimate standard of value. American Academy of Political and Social Science, Philadelphia. Publications, no. 128. June, 1894, 60 p.]

One word more on ult. st. of v. [ultimate standard of value]   E.J. Dec. 1894

[Eugen von Böhm-Bawerk. One word more on the ultimate standard of value. Economic Journal, Vol. 4, No. 16 (Dec., 1894), pp. 719-725.]

Marshall        Bk V, ch 6;  Bk V, ch 14

[Book V, ch 6: Joint and composite demand. Joint and composite supply.
Book V, ch 14: The theory of monopolies.]

Viner              JPE. 1925 pp 107-111 (objective test of comp.[etitive] price appl[ied] to cem[ent] ind[ustry])

[Jacob Viner, Objective tests of competitive price applied to the cement industry. Journal of Political Economy, Vol. 33, No. 1 (Feb., 1925), pp. 107-111.]

J.S.Mill “Outline of Pol. Economy” Bk II, Ch 11, sec 1Bk I, ch VI, sec 1

[Note: Outline of Political Economy is the title of Nassau Senior’s book.
John Stuart Mill, The Collected Works of John Stuart Mill, Volume II – The Principles of Political Economy with Some of Their Applications to Social Philosophy (Books I-II), ed. John M. Robson, introduction by V.W. Bladen (Toronto: University of Toronto Press, London: Routledge and Kegan Paul, 1965).
Book II, ch XI, sec. 1:  Distribution. Of wages.
Book I, ch VI, sec. 1: Production. On circulating and fixed capital.]

Henry George, “Progress + Poverty”         Bk I, ch 1,3,4

[Henry George, Progress and Poverty: An Inquiry into the Cause of Industrial Depressions and of Increase of Want with Increase of Wealth, The Remedy (Garden City, NY: Doubleday, Page, & Co. 1912).
Book I: Wages and Capital.
Chapter 1: The current doctrine of wages–its insufficiency;
Chapter 3: Wages not drawn from capital, but produced by labor;
Chapter 4: The maintenance of laborers not drawn from capital.]

F.W. Taussig, Principles, vol II, ch 39, 51

[Frank W. Taussig, Principles of Economics. 2nd revised edition. 2 vols. (New York: Macmillan). 1915. Note: a later 3rd revised edition from 1921 has a chapter 51 “Great fortunes” that does not appear as good a fit to this course’s content, so I conclude the reference is to the second edition.
Chapter 39: Interest, cont. The equilibrium of demand and supply;
Chapter 51: General wages.]

J.B. Clark “Dist[ribution] of Wealth”, ch 1, 7, 8, + Preface

 [John Bates Clark, The Distribution of Wealth: A Theory of Wages, Interest and Profits (New York: Macmillan). 1899.
Chapter I: Issues That depend on Distribution;
Chapter VII: Wages in a Static State, the Specific Product of Labor;
Chapter VIII: How the Specific Product of Labor may be Distinguished.]

F.A. Walker, Political Economy P[reface] + IV, ch 4,5,8 + V [sic, should be VI], sec 5

[Francis Amasa Walker, Political Economy (London: Macmillan) 3rd revised and enlarged edition. 1892.
Part IV: Distribution.
Chapter 4: Profits;
Chapter 5: Wages;
Chapter 8: The reaction of distribution upon production.
Part VI: Some applications of economic principles.
Section V: The doctrine of the wage-fund.]

A. Smith Bk I, ch 10

[Adam Smith An Inquiry into the Naature and Causes of the Wealth of Nations, Edwin Cannan, 3d. London: Methuen & Co., Ltd. 5th edition, 1904.
Book I, Chapter X: Of wages and profit in the different employments of labour and stock.]

J.S. Mill           Bk II, ch 14

[Book II, ch 14: Distribution. Of the differences of wages in different employments.]

Cairnes “Polit. Econ”, P[reface] + I, ch 3 [art.] 4,5

[J.E. Cairnes. Some Leading Principles of Political Economy Newly Expounded. New York: Harper & Brothers, Publishers. 1874.
Part I: Value.
Chapter 3: Normal value]

Taussig          Principles, ch 47

[Chapter 47: Differences of wages. Social stratification.]

J. B. Clark Ch 9, 13

[Chapter IX: Capital and Capital-Goods Contrasted;
Chapter XIII: The Products of Labor and Capital, as Measured by the Formula of Rent]

Böhm Bawerk           Bk 2, ch 1-5Bk 5, ch 1-4Bk 6, ch 1,2,4,5,6Bk 7, ch 1,2

[Book II: Capital as instrument of production.
Chapter 1: Introductory;
Chapter 2: Capitalist production;
Chapter 3: Historical development of the conception;
Chapter 4: The true conception of capital;
Chapter 5: The competing conceptions of capital.
Book V: Present and future.
Chapter 1: Present and future in economic life;
Chapter 2: Differences in want and provision for want;
Chapter 3: Unerestimate of the future;
Chapter 4: The technical superiority of present goods.
Book VI: The source of interest.
Chapter 1:  The loan and loan interest
Chapter 2: The profit of capitalist undertaking. Principles of explanation.
Chapter 4: The profit of capitalist undertaking. The labour market;
Chapter 5: The profit of capitalist undertaking. The general subsistence market;
Chapter 6: The profit of capitalist undertaking. The general subsistence market (continued).
Book VII: The rate of interest.
Chapter 1: The rate in isolated exchange;
Chapter 2: The rate in market transactions.]

Marshall                    Bk VI, ch IX

[Book VI: The distribution of the national income.
Chapter 9: Rent of land.]

Ogilvie                       Marshall on Rent      Econ J. 1930

[F.W. Ogilvie. Marshall on Rent. Economic Journal 40 (March) 1930: 1-24]

J.B. Clark        ch 23

[Chapter XXIII: The Relation of All Rents to Value and Thus to Group Distribution]

 Source: Hoover Institution Archives, Milton Friedman Papers Box 5, Folder 12 (Student years)

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[typed list of reading assignments]

Assignments in Viner’s Economics 301
(In order of assignment)

Marshall,        Bk III, ch. 3, 4Bk V, ch. 1, 2

Böhm-Bawerk, Positive Theory of Capital, Bk IV, ch. 4

Schultz, Meaning of Statistical Demand Curves, pp. 1-10, 25-41.

Marshall, Bk. V, ch 3, 4, 5, 12; App. H

Viner, Cost Curves [and Supply Curves, Zeitschrift für Nationalökonomie. Bd. 3, H. 1 (1931), pp. 23-46]

Cunynghame, Geometrical Political Economy, Ch. 3

Smart, Introduction to the Theory of Val., pp. 64-83

B. B. [Böhm-Bawerk], Ultim. Stand. of Val., Ann. of Am. Ac., Sept. 1894

One word More on Ult. S. of V., Econ. Jour., Dec 1894

Marshall,        Bk. V, ch. 6Bk. V, ch. 14

Viner, Objective Tests of Comp. Pr. appl. to the Cem. Ind. JPE, ‘25

J.S. Mill, Outline of Pol Ec. [sic, Principles of Political Economy], Bk II, ch. 11, sec. 1; Bk I, ch. 6 sec. 1

Henry George, Progress and Poverty, Bk I, ch. 1, 3, 4.

F. W. Taussig, Principles, Vol II, ch 39, 51.

J. B. Clark, Distr. of Wealth, ch. 1, 7, 8, preface.

F. A. Walker, Pol. Ec., Part IV, ch. 4, 5. Part VI, Sec. 5

Adam Smith, Bk. I, ch 10

J.S. Mill, Bk II, ch. 14

Cairnes, Pol. Ec., Part I, ch. 3, arts. 4, 5.

Taussig, ch. 47

J. B. Clark, ch. 9, 13

B.B. [Böhm Bawerk], Bk II, ch 1-5; Bk V, ch 1-4; Bk. VI, ch. 1, 2,4,5,6Bk. VII, ch. 1,2.

Marshall, Bk. VI, ch. 9

Ogilvie, Marshall on Rent, Econ. Journ., March, 1930

J. B. Clark, ch. 23

Source:  Hoover Institution Archives, Milton Friedman Papers Box 115, Folder 13 (Class Exams circa 1932-1938)

Image Source: University of Chicago Photographic Archive, apf1-08490, Special Collections Research Center, University of Chicago Library.

Categories
Chicago Columbia Economists Transcript

Milton Friedman’s Coursework in Economics, Statistics and Mathematics

Before Milton Friedman could be a teacher of economics, he was of course the student of many teachers. This list of his relevant coursework and teachers is complete. I merely add here that his transcript also shows three semesters of college French and four semesters of college German and that he entered Rutgers with advanced credits in French.

Rutgers University
University of Chicago
Columbia University
Dept. of Agriculture Graduate School

Rutgers University (1928-32)

Principles of Economics E. E. Agger 1929-30
Money and Banking E. E. Agger 1930-31
Statistical Methods Homer Jones 1930-31
Business Cycles Arthur F. Burns 1931-32
Economic Research Ivan V. Emelianoff 1931-32
Principles of Insurance Homer Jones 1931-32
College Algebra 1928-29, 1st term
Analytical Geometry 1928-29, 2nd term
Calculus 1929-30
Advanced Calculus 1930-31
Theory of Numbers 1929-30, 2nd term
Theory of Equations 1930-31, 1st term
Differential Equations 1930-31, 2nd term
Analysis 1931-32
Elliptic Integrals 1931-32, 2nd term

 

University of Chicago (1932-33, 1934-35)

Econ 301 Prices and Distribution Theory Jacob Viner Autumn Quarter 1932
Econ 302 History of Economic Thought Frank H. Knight Winter Quarter 1933
Econ 303 Modern Tendencies in Economics Jacob Viner Spring Quarter 1933
Econ 311 Correlation and Curve Fitting Henry Schultz Winter Quarter 1933
Econ 312 Statistical Graphics Henry Schultz Spring Quarter 1933
Econ 330 Graduate Study of Money and Banking Lloyd W. Mints Autumn Quarter 1932
Econ 370 International Trade and Finance Jacob Viner Winter Quarter 1933
Econ 220 Economic History of the United States, not taken for credit Chester Wright Winter Quarter 1935
Econ 220 Economic History of Europe, not taken for credit John U. Nef Autumn Quarter 1934
Labor (visited) Paul H. Douglas  1934-35
Theory of Demand (visited) Henry Schultz  1934-35
Math 306 Introduction to Higher Algebra  E. Dickson Autumn Quarter 1932
Math 341 Calculus of Variations  G. Bliss Autumn Quarter 1932
Math 324 Theory of Algebraic Numbers  A. Albert Winter Quarter 1933
Math 310 Functions of a Complex Variable (not taken for credit) L. M. Graves

 Master’s thesis: An empirical study of the relationship between railroad stock prices and railroad earnings for the period 1921-31.

 

Columbia University (1933-34)

Stat 111-12 Statistical Inference Harold Hotelling Winter/Spring semesters
Econ 117-18 Mathematical Economics Harold Hotelling Winter/Spring semesters
Econ 119 Economic History V. G. Simkhovitch Winter semester
Econ 128 Currency and Credit James W. Angell Spring semester
Econ 211-12 Business Cycles Wesley Claire Mitchell Winter/Spring semesters
Econ 315-16 Economic Theory Seminar John M. Clark, James W. Angell, and Wesley C. Mitchell Winter/Spring semesters
Social Economics (visited) J. M. Clark
Labor (visited) Leo Wolman
Theory (visited) R. W. Souter

 

Department of Agriculture Graduate School (1936-37)

Statistics 17-18 Adjustment of Observations

Source: Assembled from transcripts and course lists kept by Milton Friedman. Hoover Institution Archives, Milton Friedman Papers, Box 5, Folders 11, 13 (Student years).

Image Source: Columbia University, Columbia 250 Celebrates Columbians Ahead of Their Time.