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Actuarial Science (ACTSC)

24 courses in the 1983–84 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.

Notes

Faculty listed in 1983–84

Professor and Chairman of the Department J.F. Lawless, BSc, MSc, PhD (Waterloo)

Professor and Associate Chairman of the Department

M.E. Thompson, BSc (Toronto), MSc, PhD (Illinois)

Associate Professor and Associate Chairman, Actuarial Science

H.H. Panjer, BA, MA, PhD (Western).

FSA, FCIA

Professors

P.P. Boyle’, PhD (Trinity College, Dublin), FCIA, FIA

Faculty listed in 1983–84

W.F. Forbes, BSc, PhD, DSc (London), DIC, ARCS

V.P. Godambe, MSc (Bombay), PhD (London) .

J.D. Kaibfleisch, BSc, MMath, PhD (Waterloo)

J.G. Kalofleisch, BSc (Toronto), MA, PhD (Waterloo).

P.M. Reilly5, VE, BASc (Toronto), DIC, PhD (London), PEng

~K.R. Shah, BA, MA (Bombay), PhD

(indian Statistical Institute) D.A. Sprott’, BA, MA, PhD (Toronto), FRCS, FRPS

Associate Professors

B. Abraham, 8Sc (Kerala), MSc

(Guelph), PhD (Wisconsin)

W.H. Aitken, BA (Toronto), FSA, FCIA.

EA

Faculty listed in 1983–84

G.W. Bennett, BSc, BA, PhD (Adelaide)

M.A. Bennett, BA (Nottingham), FSA, FCIA

A. Brender, BSc (McGill), MA, PhD (California-Berkeley), ASA, FSA, FCIA

K.S. Brown2, BMath, PhD (Waterloo)

Faculty listed in 1983–84

W.H. Cherry, BSc, PhD (Melbourne)

J.F. Gentleman3, BA, MS (Chicago), PhD (Waterloo)

RJ. MacKay, BSc (Waterloo), MSc, PhD (Toronto)

D.L. McLeish, BSc (Queen's), MSc (Toronto), PhD (McGill)

F.G. Reynolds, BSc, MSc (Manitoba), FSA, FCIA

W.S. Rickert, 8Sc, PhD (Waterloo)

Faculty listed in 1983–84

J.C. Robinson, BASc, MASc, PhD (Waterloo)

J.B. Whitney, BA, MA (Western Ontario), PhD (Toronto)

J.C. Young, BASc (Toronto), MSc (Waterloo), PhD (Edinburgh)

Assistant Professors

R.L. Brown, BMath (Waterloo), FSA, FCIA, ACAS

P. Goulden®, 8BMath, MMath, PhD (Waterloo), NSERC University Research Fellow

Faculty listed in 1983–84

D.E. Matthews, BA, MA (Western Ontario), PhD (London), DIC

K.P. Sharp, 8A (Cambridge), MA (Berkeley), FCIA, FIA

Faculty listed in 1983–84

C.G. Small, BSc (Regina), MSc (Alberta), PhD (Cambridge)

Research Assistant Professor

J.A. Jackson, BS, BCir, MB, MA (Cambridge), Gerontology Research Council Fellow

Adjunct Faculty

H.M. Atrubin, BA (Manitoba), FSA, FCIA

Faculty listed in 1983–84

A. Finch, BSc, ARCS, PhD, DSc (London), DIC

J.M. Gani, BSc (London), PhD (ANU), DSc (London), DIC, FAA

J.A. Mereu, BA (Western), FSA, FCIA

Faculty listed in 1983–84

Lecturer C. Springer, BSc, MSc (McGill)

Faculty Members of Statistics and Actuarial Science holding cross appointments to.

Psychology

2Recreation

3Computer Science

Faculty Members holding.cross-

appointments to Statistics and Actuarial

Science from.

4Accounting Group

5Chemical Engineering and Management Sciences

8Combinatorics & Optimization

Strategy Board Members

University of Waterloo Faculty of Mathematics

Or. D.C. Baxter Assistant Auditor General Control Evaluation Branch €.G. Burton G. Corlett Vice President, Business Services Noranda Mines Limited D. Eckersley Vice President & Actuary Dominion Life Assurance Company A. Gordon Deputy Minister Ministry of Government Services Ontario S.L. Hartley Senior Vice President, Finance The Molson Companies Ltd. C.A. Hayles Vice President & General Manager Marketing Esso Petroleum Canada R.D. Hossack Partner Currie, Coopers & Lybrand Dr. G.E. Lee-Whiting Head, Theoretical Physics.Branch Chalk River Nuclear Laboratories Atomic Energy of Canada Ltd. R.G. Logan Director External Programs 18M Canada Limited E.L. Pursey : Senior Vice President Canadian imperial Bank of Commerce Dr. C.D. Sadleir Assistant Vice President, Systems Planning Bell Canada D.W. Seaborn Vice President, Technical Systems Division Systemhouse Ltd. G.F. Sekely Director, information Systems Canadian Pacific Limited

The University of Waterloo Strategy Board was established to provide liaison between the Faculty of Mathematics © and knowledgeable representatives from key sectors of the economy. Board meetings are normally held twice a year.

Course Descriptions

Mathematics

Faculty of Mathematics Introductory Notes

1. Courses with the following abbreviations are offered by the Faculty of Mathematics: ACTSC (Actuarial Science), AM (Applied Mathematics), C&O (Combinatorics & Optimization), CS (Computer Science), MATH (nondepartmental faculty courses), MTHEL (Mathematics Elective), PMATH (Pure Mathematics), STAT (Statistics). The course descriptions which follow appear in ascending order by course number within these groups. Uniess otherwise indicated, and provided space is available, these courses are open to students in any UW faculty assuming that stated prerequisites have been met.

2. Courses offered by the Faculty of Mathematics which have been designed with the academic needs and backgrounds of students in other faculties in mind are identified by a note following the course description. These courses appear in the sequence described — above. They are: AM 101, 111; CS 112, 115, 116, 118, 316; MATH 103, 104, 105, 106, 110a/b, 111a/b, 113a/b, 114, 118a/b, 210, 211, 212, 213a/b, 215, 216; STAT 202, 204, 205, 210, 300.

Actuarial Science

Course Descriptions

Courses not offered in the current academic year are listed at the end of this section.

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ACTSC 221 Mathematics of InvestmentF,W,S 3C 0.5

The theory of rates of interest and discount. Annuities and sinking funds with practical applications to mortgage and bond questions. Yield rates. Prereq: At least second year standing. Credit will be granted for only one of ACTSC 221, 231. ACTSC 221 cannot be counted for credit toward a 8Math Honours Actuarial Science degree.

Scanned page 361ACTSC 221 today

ACTSC 222 ContingenciesW 3C 0.5

An introduction to the mathematical basis underlying insurance and other types of financial programs including

uncertain future events and discounting.

Prereq: ACTSC 221

Credit will be granted for only one of ACTSC 222, 232. ACTSC 222 cannot be counted for credit toward a BMath Honours Actuarial Science degree.

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ACTSC 231 Mathematics of FinanceF,W,S 3C 0.5

The theory of rates of interest and discount including the theoretical continuous case of forces of interest and discount. Annuities and sinking funds, including the continuous case. Practical and theoretical applications, primarily to mortgages and bonds. Yield rates.

Prereq: MATH 130b

Credit will be granted for only one of ACTSC 221, 237.

Scanned page 361ACTSC 231 today

ACTSC 232 Introduction to Lite ContingenciesF,W,S 3C 0.5

Application of probability to problems

Of life and death including population

theory for the stationary case. The determination of single and annual premiums for insurances and annuities in both the discrete and continuous case. An introduction to actuarial reserves. ..

Prereq: ACTSC 231, MTHEL 305a Credit will be granted for only one of ACTSC 222, 232.

Scanned page 361ACTSC 232 today

ACTSC 331 Life Contingencies - Singie LivesF,S 3C 0.5

Reserves, company expenses and premium and cash value calculations. Multiple decrement theory. Methods for gross premiums. Dividend formulae. Accidental death and disability benefits. Prereq: ACTSC 232 ‘

Scanned page 361ACTSC 331 today

ACTSC 332 Life Contingencies - Multiple Lives Joint Life, Last Survivor probabitities,W 3C 0.5

insurances and annuities. Simple and compound contingent functions and reversionary annuities. Other special benefits.

Prereq: ACTSC 232

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ACTSC 337 Finite DifferencesF,S 3C 0.5°

Application of the theory of finite differences to the development of tunction approximations primarily by collocation and osculatory polynomials. Analysis of error in such approximations. Summation formulae. Introduction to data graduation.

Prereq: MATH 130b, 134b

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ACTSC 338 Graduation of Life TablesW 3C 0.5

Continuation of ACTSC 337. Approximate integration and differentiation. Iteration. Theory and methods of data graduation.

Prereq: ACTSC 337 ar consent of instructor.

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ACTSC 431 Risk Theory 1F,S 3C 0.5

Monte Carlo Theory. Distribution of Aggregate claims. Classification of Risk. Prereq: ACTSC 232

Coreq: STAT 333

Scanned page 362ACTSC 431 today

ACTSC 432 Risk Theory 2W 3C 0.5

Calculations of net premiums and reinsurance premiums. Ruin theory. Utility theory.

Prereq: ACTSC 431, STAT 333

Scanned page 362ACTSC 432 today

ACTSC 433 Construction of Life TablesF,S 3C 0.5

Methods of analysis of data to produce raw rates for mortality, morbidity and other tables. ‘

Prereq: ACTSC 232 or consent of instructor. ‘

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ACTSC 435 Introduction to Demographic StatisticsW 3C 0.5

Topics in demography with emphasis on population projections, mortality theories, and construction of life tables. Prereq: ACTSC 232 or consent of instructor.

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ACTSC 451 Selection of Risks 1F 3C 0.5

The effects of medical and non-medical risk factors on bodily systems are explored to determine the amount and incidence of additional morbidity and mortality. Techniques for expressing the increased risk in premiums and reserves are investigated.

Coreq: MTHEL 305b, ACTSC 331

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ACTSC 452 Selection of Risks 2W 3C 0.5

A further selection of topics on medical and non-medical risks and indemnity. Prereq: ACTSC 451

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ACTSC 453 Basic Pension MathematicsF,S 3C 0.5

Theory and practice of pension plan funding. Assumptions, basic actuarial functions and population theory applied to private pensions. Concepts of Normal Costs, Supplemental Liability, Unfunded Liability arising from

Course Descriptions 361

Mathematics

Actuarial Science

individual Accrued Benefit and Projected Benefit cost methods. Prereqg: ACTSC 332 or consent of instructor.

Scanned page 362ACTSC 453 today

ACTSC 454 Pension FundingW 3C 0.5

Group and other generalized cost methods for Pension plans. Effects of early retirements, plan design and actuarial assumptions on Pension costé. Cost forecasts applied to private and public pension plans - in particular to the CPP.

Prereq: ACTSC 453 or consent of instructor.

Scanned page 362ACTSC 454 today

ACTSC 455 Analysis of Financial StatementsW 3C 0.5

Topics in insurance financial reporting including amortization of gains, the Canadian method of actuarial reserves, investment and currency reserves, and the analysis of gains and losses. Prereq: ACTSC 331 or consent of instructor.

Scanned page 362ACTSC 455 today

ACTSC 456 Taxation of Life insuranceW 3C 0.5

Taxation of life insurance, insurance companies and employee benefits. Prereq: ACTSC 332, MTHEL 305a/b

Scanned page 362ACTSC 456 today

ACTSC 458 Insurance LawW 3C 0.5

Topics in Canadian and American insurance Law.

Prereq: ACTSC 331, MTHEL 305a/b

Scanned page 362

ACTSC 463 Topics in Casualty Insurance 1W 3C 0.5

Topics in casualty insurance chosen from areas such as coverages, ratemaking and underwriting.

Prereq: ACTSC 232

Not Offered 1983-84.

-ACTSC 391 Topics in Actuarial

Mathematics

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ACTSC 441 Advanced Topics in Actuarial Mathematics

Listed without a description.

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ACTSC 464 Topics in Casualty Insurance 2

Listed without a description.

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ACTSC 491 Seminar in Actuarial Mathematics 1

Listed without a description.

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ACTSC 492 Seminar in Actuarial Science 2

Listed without a description.

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