Curriculum Vita

 

Lynn E. Garner

Born:  19 July 1941, Ontario, Oregon.  Married, five children.  US Citizen.

Home: 681 E. 3230 N., Provo, UT 84604-4728. (801) 375-3029.

Work: Department of Mathematics, Brigham Young University, Provo, UT 84602.

            (801) 422-6153;  e-mail:  lynng@math.byu.edu;  FAX: (801) 422-0504.

Degrees: 

            BS, Brigham Young University, 1962, Mathematics and Physics

            MA, University of Utah, 1964, Mathematics (Projective Geometry)

            PhD, University of Oregon, 1968, Mathematics (Commutative Algebra)

Positions: 

            Instructor, Department of Mathematics, BYU, 1963-1966.

Assistant Professor of Mathematics, BYU, 1968-1974.

            Associate Professor of Mathematics, BYU, 1974-1981.

            Professor of Mathematics, BYU, 1981-present.

            Chair, Department of Mathematics, BYU, 2000-present.

            Consultant and Instructor, The Waterford School, 1983-1988.

            Consultant and Instructor, The Meridian School, 1988-1996.

            Consultant, Hewlett-Packard Educational Advisory Committee, 1992-1994.

Professional Organizations: 

            Sigma Xi

            American Mathematical Society

            Mathematical Association of America

            Pi Mu Epsilon

            Phi Kappa Phi

Awards:

            Alcuin Fellowship (teaching award), BYU, 1990-1993.

Major Publications:

Mathematics 111x, College Algebra and Trigonometry. BYU Department of Home Study, 1970.

Mathematics 451x, Modern Geometry I. BYU Department of Home Study, 1971.

Fields and projective planes: a category equivalence. Rocky Mountain Journal of Mathematics,  2 (Fall 1972), 605-610.

A real place on a real number field is trivial. Proceedings of the American Mathematical Society, 49(1975), 519.

An Outline of Projective Geometry. (New York: Elsevier North Holland), 1981.

On the Collatz 3n+1 problem. Proceedings of the American Mathematical Society, 82(1981), 19-22.

On heights in the Collatz 3n+1 problem. Discrete Mathematics, 55(1985), 57-64.

Calculus and Analytic Geometry. (San Francisco: Dellen/Macmillan), 1988.

Calculus with the Hewlett-Packard Symbol-Manipulating Calculators. (San Francisco: Dellen/Macmillan), 1990.

Calculus with the HP 48. (San Francisco: Dellen/Macmillan), 1992.

Calculus with the HP 48. 3rd Ed., (San Francisco: Dellen/Macmillan), 1994.

with Gerald M. Armstrong, Our experience with two reformed calculus programs. Primus, Vol. IV No. 4 (Dec 1994), 301-311.

Personal experiences with technology in the mathematics classroom. Mathematics and Technology in the Classroom, Sep 1995.

Personal reflections on mathematics and mathematics education, Humanistic Mathematics Network Journal, Vol. 13 (May, 1996), 11-17.

Functions and graphs; Polar Coordinates; Projective Geometry. Mathematics Education Encyclopedia. (New York: Routledge-Farmer), 2001.

Calculus. (Boston: Pearson Custom Publishing), 2002.

with Bradley E. Garner, Retention of concepts and skills in traditional and reformed applied calculus. Mathematics Education Research Journal, 13(2002), 165-182.

Calculus, Revised Ed. (Boston: Pearson Custom Publishing), 2003.

Calculus, Third Ed. (Boston: Pearson Custom Publishing), 2004.

Calculus, Fourth Ed. (Boston: Pearson Custom Publishing), 2005.

Invited Talks:

"Content of High School Geometry", Mathematics Teachers' Conference, Weber School District, Ogden, Utah, 21 November 1977.

Panel, "What Geometry Should Be Taught in High School?", MAA Section Meeting, Cedar City, Utah, 17 April 1982.

Panel, "Calculus Reform," MAA Section Meeting, Cedar City, Utah, April 6, 1990.

"Calculators in Calculus," UCTM/UEA Meeting, Salt Lake City, Utah, October 11, 1991.

"Concepts of Calculus by Non-Traditional Approaches," National Collegiate Honors Council Meeting, Los Angeles, California, October 29, 1992.

Workshops:

Presenter, The HP-28S Calculator, MAA Minicourse, MAA Section Meeting, Provo, Utah, April 7, 1989.

Participant, TICAP workshop (Technology-Intensive Calculus for Advanced Placement), Clemson, South Carolina, June 1992.

Presenter, TICAP workshop, Clemson, South Carolina, June 1993.

Presenter, Calculus Reform and the Calculus Consortium at Harvard (NSF Dissemination Grant), Provo, Utah, June 1993.

Presenter, Learning Environments on the HP 48, MAA Minicourse, MAA National Meeting, Cincinnati, Ohio, January 1994.

Presenter, TICAP workshop, Clemson, South Carolina, June 1994.

Presenter, Calculus Reform and the Calculus Consortium at Harvard (NSF Dissemination Grant), Provo, Utah, June 1994.

Presenter, HP 48 Calculator Workshop, Wayne State University, Detroit, Michigan, 26 August 1994.

Presenter, Calculus Reform and the Calculus Consortium at Harvard (NSF Dissemination Grant), Provo, Utah, June 1995.

Technology Use:

Macintosh computers (course support and writing), 1984-present.

HP 28S, HP 48S and G series calculators (course support), 1988-present.

Graphing calculators required in calculus classes, 1991-present.

Courses Taught:

            Intermediate Algebra

            College Algebra

            Trigonometry

            Precalculus

            Short Calculus

            Calculus I, II, III

            Linear Algebra

            Foundations of Mathematics

            Abstract Algebra I, II, and graduate I

            Numerical Analysis I

            Number Theory I

            Combinatorics

            History of Mathematics

            Foundations of Geometry

            Projective Geometry