386. Use of ground water for irrigation in South Platte Basin in 1940, manuscripts and notes

UNITED STATES OF THE INTERIOR F RECLAMATION

IAL BUSINESS'

PENALTY FOR PRIVATE USE PAYMENT OF POSTAGE,

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February lb, 1943

Ir. George Cox

Fort Morzar

Colorado

Lear Mr. Cox:

In assembling my aata for a report on tue ground

waters of the South Platte, I nave reviewed the notes Ulat

I took in various conversations with you regarding ;.ater

conaiti=s near Fort Morgan. Mr. Harold, when he was ith

the City, wrote me a letLer in which Lie assembled

tue

various measurements taken on the well at tue City Halle

In oraer taat you will liave these befo,:e you ror

considera-tion, I am quoting tae figures as given:

5L.O .

Dec. 30, 1906

Feb. 8, 1932

38.5

March 10, 1933

36.2

35.3

Jan.

23, 1934

Oct. 1, 1935

46.2

44.8

Lee. 17, 1937

41.7

Jan.

23, 1939

As you know, I installed a recording instrument in

the east well an November 7s 1J40, at which time it was

42.7 feet fro..-A the basement floor to the ;iiater level.

What I viish to be sure of is ilether or nut the

pre-viJus,measurements were taken fro!li the basement floor level

or from tn.° ground level. I seem to be confused ts to the

measuring doint for the old records. Your asl,urance on

this ;,ould be gr atly appreciated. Further, I .ould like

to Liave your permission to quote you on tue -aater table

conditions as you remember them since the begiming of tile

century.

I am

Thanking you again for your excellent cooperation,

Sincerely yours,

“. L. Code

Irrigation Lngineer

Encl.

October 8, 1940

Mr. Ulliam H. Herold

Elactzic-1 Superintendent

Liitt Da,Jartmant

Fort Morgan, Colorado

Dear Mr. Hereld:

Within two or three weeks I plan to be in

'your

ter-ritory again and at that time I can have available an

in-strument with which to record the fluctuations of the

wlter table in the old city well.

Ir. Parshall has reconditioned an old instrument which

stands about 18 inches high and has a metal cover which

ordin-nsily is withdrawn from the top requiring a total clearance of

about

3

feet. As I recall, the instrumant must go undarneath

a work bench which would not have quite that much clearance.

Just .isterday I learned that it might be posaible to obtain

=other ty:ia of recorder having a circular paper disc on a

sort

of

clock base which will stand not more than 24 !_nches

high. As the door to this disc swings outvIrd, no adaitional

clearance ia required.

Would you be so kind as to rJfrash my mamory az3 to just

what is required and I shall endeavor to it:41r3 tha instrument

available. In either

oass

it -will be necessary to hava a

hole in the floor which will admit a float 8 inches in

dia-meter.

Yours vary traly,

V. E. Code

Assoc. Irrigation Engineer

'VEC:jh

August 191 1940

Mr. William H. Herold

Electrical Superintendent

Light Department

Fort Morgan, Colorado

Dear Mr. Herald:

Thank you for your letter of the sixteenth

in which you have so kindly givem ne a copy of a

previous letter from Mr. Cox, and also the

cur-rent conditions of the water table at the old

city well.

Yours very truly,

W. E. Code

A3SOC. Irrigation Engineer

THE CITY OF FORT MORGAN

WATER AND LIGHT DEPARTMENT

GEO. G. COX, SUPERINTENDENT

FORT MORGAN, COLORADO

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THE CITY OF FORT MORGAN

WATER AND LIGHT DEPARTMENT

GEO. G. COX, SUPERINTENDENT

FORT MORGAN, COLORADO

January 28, 1939

W. E. Code

Associate Irrigation Engineer Fort Collins, Colorado

Dear Yr. Code:

In reply to your letter of January 26, 1939, herewith enclosed find the data on our irrigation pumps from 1933 to 1938 in-clusive. This does not include the deep well pumps used by the City for our domestic use which usually runs about 500 million gallons per year.

The total output on our electric light plant for all purposes is as follows:

1935 4,328,000 Kffil 1936 5,054,120 " 1937 5,830,040 II

1938 5,270,670

Relative to the water level promiscuously taken since 1906 is as follows:

From g,E2nd, Level to Water Level Dec. 30, 1906 52' 0" Feb. 8, 1932 38' 6" March 10,1933 36' 4" Jan. 23, 1934 35' 7" Oct. 1, 1935 46' 4" Dec. 17, 1937

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Thought this data might be of interest to you for your records. This data was taken from our City wells.

You will also note on the memorandum I am sending you that the irrigation load dropped dawn very materially for 1938. This was due to the wet season. You will also note that the water level raised during this interval.

Trusting this will give you information that you can use, I am, Yours truly,

Superintende GC/C:0h

Encl.

Errata

Water district boundaries, inadvertently taken from a wrong source, are slightly in error at numerous points. Particularly the following locations should be noted: The east boundary of

3

should pass through Eaton and 2 miles west of

Ault; the east boundary of 5 should begin at Milliken and remain on west side of South Platte; district 7 should extend to mouth of Clear Creek.

Suggested wording of rubber stamp to be applied to map of South Platte basin.

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747.5-1):77-M. C. H1NDERLIDER STATE ENGINEER C. C. HEZMALHALCH DEPUTY STATE OF COLORADO ENGINEERING DEPARTMENT DENVER April 28, 1942 Wm. Tr,* Code Irrigation Engineer Colo Experiment Station Colo State College Fort Collins, Colo Dear Yr. Ccde:

L. T. BURGESS

CHIEF HYDROGRAPHER

W. T. BLIGHT

CHIEF CLERK & DRAFTSMAN

SUBJECT:

Your letter of the 11th, requesting records on Cherry Creek and Left Hand Creek got buried and were rushed aside thru the high water. It has just come to light and I am transmitting the data herewith:

Discharge, Cherry Creek near Melvin, water year ending Sept. 30, 1941:

Oct. Nov. Dec. Jan. Feb. Mar. Apr. May. June, July Aug. ept.

510 436 586 560 781 1060 1180 845 977 2210 2210 464

Total 7/11,820 acre feet.

Discharge Left Hand Creek at Youth, water year ending Sept. 30, 1°41:

Oct. Nov. Dec. Jan. Feb. Mar. Apr. May June July Aug. Sept.

333 290 172 179 131 195 1680 2310 1920 713 512 392

Total — 9,330/acre feet.

If there are any other figures which you need please let us know and we will try and get them to you without delay.

Very truly yours,

A

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USE OF FORM 61-R-2

(JULY 1, 1940) r

PRICES ON REVERSE SIDE ARE IN ACCORDANCE WITH THE SECRETARY'S MEMORANDUM

#755

DATED MAY 11, 1938, BASED ON SECTION 387 OF PUBLIC #430, 75TH CON-GRESS (ACT OF 2/16/38).

1. Submit one copy to the Regional Office of the Forest Service with work to be reproduced.

2. Give a complete description of work desired, list number of plans or drawings, and the quantity and type of reproduction desired of each in their proper columns.

3.

_{Show date desired. All requisitions are filled as soon as possible and the} desired date sets up the priority. A reasonable time allowance for the

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Requisitions must be signed by the officer in charge of the division or sec-tion involved. All requisisec-tions for multilith work must be supported with the following signed statements: "The (Name of the Bureau requesting the job) assumes full responsibility for complying with the laws and regulations re-garding printing and duplicating."

5.

Upon receipt of completed work please check the enclosed invoice and if any error is found notify the Forest Service, Division of Surveys and Maps, Exten-sion

334 at once,

so that corrections may be made.

6.

The Engineering Division, Dept. of Agriculture, Forest Service, will prepare an itemized monthly statement with unit prices and will arrange for billn

1.

1

PRICES FOR MULTILITH PRINTS

50 PRINTS MINIMUM • No. Prints: One Side 8"x10 " Sheet

7i"x9 "

Print-ing Surface 10"x14" Sheet 9i"xl2i" Print-ing Surface • Both 8"x101" Sheet 7i"x9i" Print-ing Surface Sides 10"x14" Sheet 9i"x12i" Print-ing Surface 50 • $1.70 $1.80

$3.30

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100

1.85

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Over 100

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:

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_{: 451}

Per 100

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601 per 100

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iof a

10"x 14")

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WAR DEPARTMENT

UNITED STATES ENGINEER OFFICE 1709 JACKSON STREET

OMAHA, NEBRASKA

January 27, 1942.

Mr. W. E. Code, Irrigation Engineer,

• Colorado Experiment Station,

Fort Collins, Colorado. Dear Mr. Code:

This office has no records of the annual run-off on Cherry and Plum Creeks for the years 1520-39, inclusive. The only records available during this period are the stream-flow measurements made while the stream was in flood which, I believe, are of no use to you.

to write.

If we can help you in any manner do not hesitate

Very truly yours,

---1 ....z2p,_

St ley A. Miller, Principal Engineering Aide.

January 20, 1942.

Mr. Stanley A. Miller

Principal Engineering Aide 1709 Jackson Street

Omaha, Nebraska Dear Mr. Miller:

In making an attempt to discover the total inflow of water to the South Platte basin in Colorado, I need more information on the runoff from Cherry Creek.

Wolld it be possible, from your examination of this stream, to provide me with the annual acre-foot discharges for the years 19204939, inclusive? Perhaps the information you have is confidential, in which case do not hesitate to withhold the data.

Yours very truly,

W. B. Code

Irrigation Engineer

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1941.

Deer Membert

Are you having any luck getting metal materials

these days? The information I have is that riveted pips

is still procurable due largely to stocks on hand.

Ob-taining new supplies is going to be difficult and you

can expect trouble. Standard pipe is now almost

unobtain-able°

Your secretary has endeavored to get information

on the situation, which required a bit of doing. My

first effort was to get in contact with V. L. Board,

District Manager of O. P. 114) in Denver, and arrange a

meeting with him. This meeting was finally set for

November 7. President Lm Lm Canfield, Treasurer; H. D.

Perry; two representatives of Warner Company, Inc.;

Lo R. Storey, Vinegar of the Home Gas and Electric

Company, Greeley; and Floyd Brown, Extension

Irrigationist

from the Agricultural College, attended. Mt. Brown

kindly represented the college, as /

was unable to go,

All phases of wells and pumping plants were

dis-cussed, but not a great deal was accomplished in

clarify-ing the situation. At that date no specific recognition

had been made of irrigation requirements and it looked as

though the complicated PD-1 form would have to be filled

out if it were not possible to obtain materials as usual,

Mr. Board advised that an effort be made to place

irriga-tion materials under a blanket priority to facilitate

matters.

In order to get more data and to inform Washington

about Irrigation well requirements, I wrote to L. L.

Needier, Chief, Farm Equipment and Supplies, Agricultural

Defense Relations, U. S. D. A. Be informed me that this

office had submitted a request to O. P. M. for an

alloca-tion of raw materials needed for the producalloca-tion of farm

machinery and equipment for 1942. This request was 80

per cent of that used in 1940. Pumps, engines, motors,

and well casing were included in the request. This does

not mean that all the items requested will be forthcoming.

Het too, suggested the use of Form PD-1 in cases in which

difficulty was encountered°

Last week I

received the latest (Nov. 10) amended

P-22 forme and I was glad to find that it now includes

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OF AGRICULTURE AND MECHANIC ARTS

ROY M. GREEN. PRESIDENT

FORT COLLINS

"ENGINEERS ARE NEEDED"

IN REPLY REFER TO:

You recently re;eived from the U. S. Office of Education a bulletin with this title. In this publication the Nation's desperate need for more engineers is emphasized. The bulletin presents a plan of cooperation between high schools and engineering colleges which, if carried out, will help supply the technical men so urgently needed by the war production industries.

ACTIONS OF COLORADO STATE COLLEGE TO INCREASE SUPPLY OF ENGINEERS

The Engineering Division of this institution has already carried out the suggestions on pages 1 and 2 of the bulletin, "Engineers Are Needed."

In providing for the cooperation outlined in parts III, IV and V of the above bulletin, the Engineering Division supplies you with the following specific information:

1. In addition to the regular four-year curricula in Civil, Mechanical and Electrical Engineering, accelerated curricula are also now provided in each of these fields. A student pursuing the accelerated curricula will complete his training In three full years by attending three regular and three summer sessions. Students may begin work in these accelerated programs on the fol-lowing dates: June 13, 1942; September 9 to 12, 1942; and January 25, 1943.

2. The guidance and counseling program of the college is qualified scientifically to select students adapted for engineering and, after students are once admitted, to reduce the number that drop out. This division has made careful correlation studies relating high school achievement to successful completion of engineering work at our institution. From these studies, the following data is offered to assist you in identifying those students of your high school who qualify for engineering.

Students should be encouraged to enroll in engineering only if they: a. Show evidence of above-average academic ability by ranking in at least the upper half of their graduating class and having an I. Q. of 110 or higher.

U. Demonstrate superior aptitude for mathematics as reflected in grades in mathematical subjects and scores on standardized mathematical achieve-ment and aptitude tests.

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COLORADO STATE COLLEGE of Agriculture and. Mechanic Arts DEPARTMMIT OF CIVIL E1TCr'INEEP.,ING

Port Collins, Colorado N. A. Christensen, Dean

Fellow Engineer:

Following the completion of the course in Advanced Fluid Mechanics last sumzler several of the students expres7,ed a desire for a course in mathematics which would refresh them on points they had forgotten and at the same time would introduce some of the advanced topics which apply directly to advanced engineering.

For some years I have given a similar course to our senior engineer— ing students. With slight modification it should fill the need stated. Topics from calculus are quickly but carefully reviewed and then extended to more advanced fields with appropriate applications to engineering problems. As an illustration, the general problem of integration will be reviewed carefully with special mphasis on those approximate methods so necessary to the engineer. This topic will then be developed to in— clude the integration of such elementary differential equations as the equation of gradually varied flow in open channels.

Every effort will be made to make this course a most practical and usable one without neglecting the development of the mathematical

principles involved. In this way the course has immediate value to the praetising engineer and in addition builds a groundwork both for future study and for the reading of the many engineering publications whose articles contain ever increasing amounts of mathematics. I do not hesitate to recommend this course to anyone wishing to brush up on calculus and at the same time to get an introduction to the principles of mathematics essential to advanced engineering work. This course or its equivalent will serve as an entr-rce requirement to a more advanced

course in engineering mathematics which is being planned for the summer session of 1942.

A formal description of the course to be offered this summer is included in the accompanying folder alonsz with details of credit and other items. If you should like to ask any particular auestions about this course feel free to write me for any information you may want.

Sincerely yours,

ight F. Gunder,

Depts. of Math. and C. E.

Colorado State College, A. and M.

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THE

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COLORADO STATE COLLEGE

OF AGRICULTURE AND MECHANIC ARTS

FORT COLLINS, COLORADO

Larch 2, 1943

Mr. .i. E. Code

Associate Irriratien Engineer Colorado State College

The Chemistry Section has been making miscellaneous water analyses for ranchers in the South Platte valley over a period of 20 years, but more intensively during the past decade. These have been reservoir waters, seepage waters, and waters from both shallow and deep wells.

Since no definite pattern was followed in collecting these samnles,

natur1 17 it is difficult to summarize the findings with any degree of exactitude or accuracy. But in the course of these tests, certain trends have been manifested, which until the time when they can be more accurately investigated are worthy of at least tentative mention. Also, in attempting to make these comments cover the entire South Platte Valley of northeastern Colorado in a paragraph or two, obviously one attempts an impossible task. Nith apologies Are can only offer the following comments which may be 4-aken for whatever value they Possess:

Rivers

Most of the tributaries before they leave the mountains carry less than 100 nerts ner million of Tinerals which are largely bicarbonates and sulfates of Na, K, Mg, Ca, and colloidal matter. The mineralization may briefly be summarized as a result of some river waters tested in October 1939 when the Platte and its tributaries were at low flow and were receiving only surface and shallow seepage. At that time the Poudre River at Fort Collins carried 400 parts per million of mineralization, the South Platte at Evans--1213 parts per million, at Fort Morgan-1440 parts per million, and lastly, at Ovid, 1121 parts per million. The salts appeared to increase up into Morgan County and then showed a decline. This Pattern is also followed by many shallow well waters except that they are much more heavily mineralized than the rivers and denend to a great extent upon the drainage of the rarticular area samnled.

Seepage Jaters

Surface seepage waters, whether they come from a nearby reservoir or simply come to the surface as a result of hard underlying strata, usually are less mine alized than the reservoir waters and considerably less mineralized than shallow wells'in the'immediate vicinity.

7. 2 Code 3/2/43

Also, the mineralization of seepage creeks and shallow wells fluctuates somewhat depending on season of the year, i.e., the amount of rainfall. During a long, dry snell the mineralization rises, and it falls somewhat immediately after a rainy spell. de have had one creek in the reservoir region north of Fort Collins under observation for several years. This creek normally carries about 5600 parts per million of minerals. 1,fter a rainy spell it has fallen as lam as 3700 parts per million, and during a dry spell it may go up as high as 6500 parts per million.

Reservoir viater

Aeeording to miscellaneous tests made, reservoir waters have been found to carry from 1500 parts nor million to 5000 narts per million of salts and, in one instance during the dry years, a reservoir in Morgan County carried slightly over 11000 parts per million, or more than 1 percent.

This, too, does not appear to depend entirely upon the amount of water in the reservoir at a given time. Je would hazard the opinion that climatic con-ditions (drouth) during the past decade or more would contribute to increased mineralization of some of the reservoir waters.

Shallow Wells

In the irrigated sections of northeastern Colorado, shallow wells or livestock or household use are a nroblem. Whether or not a general increased salinity of these sub-surface waters has occurred during the past 75 years as a result of irrigation practice cannot be eroven now because systematic data are not available from the past. That few logs are available \mad arnear to indicate that since 1930 some wells have become increasingly saline. Whether this is a part of a long time trend or merely due to a short period of dry years would be unsafe to say with the present meager knowledge. L few typical examples of wells from several counties in the Platte valley are as follows:

Larimer County

Weld County

Morgan County

Mineralization Fort Collins west to foothills 200 - 800 p.p.m. Xellington and S.E. of Ft. Collins 1500 - 7800 n.p.m.

Vicinity of Greeley

Many wells have annroximately

1000 - 9000 p.p.m. 3000

p.p.m.

Few good wells _{375 - 960 p.p.m.} Average run of wells 2000 to 7400 p.p.m.

p. 3 Code 3/2/43

LoFan County mineralization

Sterling - city water (deep well) about 840 p.p.m._

Crook 1150 p.p.m.

Some river bottom wells 2000 - 3500 p.p.m.

Phillips County

Haxtun (deep well)

Sedgwick County

Minerals

190 p.p.m.

Julesburg (city deep well) about 1000 p.p.m. Several shallow wells 2000 - 3000 p.p.m.

By far the most predominant salts in most of these well waters are the sulfates and bicarbonates of lime and mag‘esia. Most often these are in approximately equivalent amounts, but in cases where one or the other pre-domim.tes greatly, the heavy Mg SO4 waters are Purgative and unpalatable to livestock.

Sodium sulfates and chlorides also oc -:ur but usually in lesser quantities. (In the southern half of the State sodium salts are usually present in far

larger amounts in shallow wells and are often the predominating salts.) Chlorides are almost absent at the foothills but increase in relative amounts toward the eastern border of the State.

It is almost typical of first level water wells of all the northeastern plains section that they carry from traces to as Much as 750 p.p.m. of nitrate nitrogen.

Deep wells, beyond the first hard substratum of rock, do not fluctuate much in comnosition from year to year. Often they are soft (where Eah CO3 predominates) and we have never yet found nitrates in second stratum waters.

The increasing use of well water for irrigation indicates the necessity of a more systematic an- accurate study rf the degree and kind of salinization of the

shallow sub-surface waters of this section. From such a study one could hope to get light on the question—whether or not the salinity of these waters is in-creasing--and also lest their use do Permanent injury to the soil, when so used over a neriod of years.

Yours truly,

J. ff. Tobiska Station Chemist

Quality of Vater

The followiLg statement on the quality of ground water in

the south Platte Valley is provided by J. V. Tobiska*:

*Chemist, Chemistry section, Coloraao Experiment Station

Surface waters in strains on leaving the mountains

contain less than 100 partper million of minerals ,hich

are largely bicarbonate ana sulfates of sodium, potassium,

magnesium ana calcium. This water,.hen applied for irri—

gation, is lost in part by ueep percolation from aitches,

reservoirs and field application to become part of the

grounu-water supply. In the process, other salts in the

soil are dissolved so that .:iineralization of grouna waters

in such aras is greater than water in surface streams.

JoA.e of this ,water returns to the rivers from seepage and

is used a second or even a taira time for irrigation.

Increased mineralization of both surface and unuerground

water, therefore, occurs as aistance downstream from the

mountains

increases.

No systematic investigation on the character of shallow

ground waters has been Alade, but from Lhe available scattered

data

taken from samples of water submitted for analysis by

farmers ana a few selected samples, the conaitions

are

Mineralization

Location

parts oer million

Fort Collins vest to foothills

Ael_Lington and southeast of

200-800

Fort Collins

1500-7800

Greeley 'ii

1000-9000

Ft. dorgan vicinity

2000-7400

Sterling vicinity

2000-3500

Julesburg vicinity

2000-3000

The mineral content of the waters consists largely

of sulfates ana bicarbonates of lime and magnesia. Sodium

sulfate ana sodium cidoride also occur but usually in much

smaller quantities. In a very few places there are ;,,aters

which carry so much magnesium sulfate that they are unfit

for livestock. Typical of shallo-,

waters in the

north-eastern plains section of the State is the presence of

nitrate nitrogen vich may vary in amJunt from traces to

as much as 750 part 2)er million.

Since it is the presence of the sodium salts in water

that makes for harmful effects on soils, it is the present

opinion that the waters on 7-Aich information

is

nOw

avail-able are,in general, safe for irrigation use. Whether this

situation will continue in the distant future cannot be

foretold.

SEASONAL POWER

APPLICATION FOR SERVICE WITH THE MORGAN COUNTY RURAL ELECTRIC

AbSOCIATIO SEASOI: of 19e) y -4/.3

The undersigned (hereinafter called the Applicant) hereby applies for ser-in the Llor]an County Rl/ral Electric Association, now formed, (hereser-inafter

called the Association), and the A:,-)Ilicant and Association agrees as followst When the Association makes electric energy available to Applicant, Applicant agrees to purchase from the Association, and pay monthly to the Association for

all electric energy used on premises described bel= no:: omned or occupied by.

the Applicant, in accordance with the rate schedule given herewith and all rules and regulations established by the Association and agreed upon by the Rural Electrification Administration of the United States of America. This seasonal charge foreirrigatioe service, available from Earch 1st to .1ovom her 1st will be:

$7.50 per horsepower per season of maximun seasonal contract horsepower to be applied ae advance credit on Electrical Energy at the following schedule of rates. This is payable uhen service is connected for the season.

First 100 Kilo-watt hours per HP of 7elaximum seasonal contract HP, Per 'UM

Next 100 tt It It It n It It n n n Next 100 II tt tt II It it It II It ft Next 200 It ft It If If II 11 It 11 ft All over 500" It It II It ft It It It It •••••••• 1.• •••••• 3.05 .03 .02 .011' .01

Estimated Contract horcepo-ler a

Actual Naximum contract horsepoleer will be determined by test for billing

purposes by measuring the input to the motor durin,- a period of normal operation

and deducting 105 for estimated motor losses.

All bills are payable within 15 days from tho first of the month follevinF, that in which the service is rendered. A 55 penalty is added if the bill is not paid by the 15th of the month.

MINI= GUARLTTEE.

.50 per HP per season of maximum contract horsepower (payable in advance) unless and if there is annual minimum specified below.

Annual revenues above costs, may, upon majority vote of the Association, mem-bers, be distributed to each member on an equitable basis.

This Contract shall become effective upon acceptance by an authorized agent

of the Association and shall continue in force years from the date service

is first offered or delivered by the Association to the Applicant, and thereafter unless ard until cancelled by wrltten notice frcm Applicant to Association at least fifteen (15) days in advance of the effective date of such requested can-cellation. Any established change in the rate schedule for this typo of service during the period of this contract shall become effective the same as if uritten

herein but the annual minimum pc-cvment for years shall be 0

Dated ₁₉₄

Witness

(Applicant)

(Address) The above Application for membership and service

accepted this day of 194

Morgan County Rural Electric Association By

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12-341

S

camaux

STATE COLLEGE of ATriculture and Mechanic Arts DEPAaTIM72 OF CIVIL ENGINEERING

Fort Collins, Colorado N. A. Christensen, Dean

Fellow Engineer:

Following the completion of the course in Advanced Fluid Mechanics last summer several of the students expressed a desire for a course in mathematics which would refresh them on points they had forgotten and at the same time would introduce some of the advanced topics which apply directly to advanced engineering.

For some years I have given a similar course to our senior engineer-ing students. With slight modification it should fill the need stated. Topics from calculus are quickly but carefully reviewed and then extended to more advanced fields with ai,propriate applications to engineering problems. As an illustration, the general problem of integration will be

reviewed carefully with special

omnhasis

on those ae:roximate methods

so necessary to the engineer. This topic will then be developed to in-clude the interation of such elementary differential equations as the equation of gradually varied flow in open Channels.

Every effort will be made to make this course a most practical and usable one without neglecting the development of the mathematical

principles involved. In this

ray

the course has immediate value to the

practicing engineer and in addition builds a groundwork both for future study and for the reading of the many engineering publications whose articles contain ever increasing amounts of mathematics. I do not hesitate to recommend this course to anyone wishing to brush up on calculus and at the same time to get an introduction to the principles of mathematics essential to advanced engineering work. This course or its equivalent will serve as an entrance requirement to a more advanced

course in engineering mathematics whf is being planned for the summer

session of 1942.

I= formal descrietion of the course to be offered this summer is

included in the accompanying folder alone' with details of credit and other items. If 7ou should like to ask any particular ouestions about this course feel free to write me for any information you may want.

Sincerely yours,

,

ight4. Gunder,

Depts. of Math. and C. E.

Colorado State College, A.and M. Fort Collins, Colorado.

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