

Bibliography
for Calculus
short
- Limits and Continuity: Some
Conceptions of First-Year Students.
Bezuidenhout, Jan
International Journal of Mathematical Education in Science and
Technology v32 n4 p487-500 Jul-Aug 2001,
ERIC.
- Back to Classics: Teaching
Limits through Infinitesimals.
Todorov, Todor D.
International Journal of Mathematical Education in Science and
Technology v32 n1 p1-20 Jan-Feb 2001,
ERIC.
- Can We Learn Calculus from a
Jerk?
Kenyon, Paula L.; Bardzell, Michael J.
Primus v11 n1 p97-110 Jun 2001, ERIC.
- The Tangent Parabola
Russell W. Howell; Mathews, John H.
The AMATYC Review, Vol. 23, No. 1, Fall
2001.
- Partially Differentiable, Yes;
Continuous, No
David Calvis
College Math Journal: Volume 31, Number 1, 2000, Pages:
42-49
- On "Rethinking Rigor in
Calculus...," or Why We Don't Do Calculus on the Rational
Numbers
Scott E. Brodie
College Math Journal: Volume 30, Number 2, 1999, Pages:
135-138
- Exploring Parametric Calculus
and Elliptic Integrals with Real-World Data.
Brueningsen, Christopher; Stoudt, Rebecca A.
AMATYC Review v19 n2 p36-42 Spr 1998,
ERIC.
- Eulerization of an Alternating
Series: A Calculus Laboratory Project.
Fay, Temple H.
Mathematics and Computer Education v32 n2 p120-26 Spr 1998,
ERIC.
- Maclaurin's Theorem for High
School Calculus Students.
de Bruyn, Ysbrand
Mathematics Teacher v91 n3 p256-60 Mar 1998,
ERIC.
- A Discrete Intermediate Value
Theorem
Richard Johnsonbaugh
College Math Journal: Volume 29, Number 1, 1998, Pages:
42-47
- Rigor in calculus.
Gillman, Leonard
Notices Amer. Math. Soc. 44 (1997), no. 8, 932--934,
MathSciNet.
- Summing Certain p-Series.
Fay, Temple H.
Mathematics and Computer Education v31 n3 p283-92 Fall 1997,
ERIC.
- Learning the Concept of
Inverse Function.
Vidakovic, Draga
Journal of Computers in Mathematics and Science Teaching v15 n3
p295-318 1996, ERIC.
- Three Methods of Finding
Center of Mass.
Reidl, Charles J., Jr.
Physics Teacher v33 n2 p126-27 Feb 1995,
ERIC.
- Calculus & Mathematica: An
End-User's Point of View.
Lefton, Lew E.; Steinbart, Enid M.
Primus v5 n1 p80-96 Mar 1995, ERIC.
- Surprising Results Using
Calculators for Derivatives.
Goetz, Albert; Kahan, Jeremy
Mathematics Teacher v88 n1 p30-33 Jan 1995,
ERIC.
- A Correspondence on
Telescoping Series
Dan Kalman; Mathews, John H.
Pi Mu Epsilon Journal, pp. 169-182, Vol. 10, No. 3, Fall 1995.
produces ex
Kurtis D. Fink; Mathews, John H.
The AMATYC Review, Spring 1995, Vol. 16, No. 2, pp. 28-29.
- A Generalization of the Mean
Value Theorem for Integrals
M. Sayrafiezadeh
College Math Journal: Volume 26, Number 3, 1995, Pages:
223-224
- Does
More Calculus Improve Student Learning in Intermediate Micro and
Macro Economic Theory? (in Research on Economics
Education)
J. S. Butler, T. Aldrich Finegan, John J.
Siegfried
The American Economic Review, Vol. 84, No. 2, Papers and
Proceedings of the Hundred and Sixth Annual Meeting of the
American Economic Association. (May, 1994), pp. 206-210,
Jstor.
- An Invitation to Integration
in Finite Terms
Elena Anne Marchisotto, Gholam-Ali Zakeri
College Math Journal: Volume 25, Number 4, 1994, Pages:
295-308
- The Importance of Being
Continuous
D.J. Jeffrey
Mathematics Magazine: Volume 67, Number 4, 1994, Pages:
294-300
- Taylor
Theorem for Planar Curves
Abedallah Rababah
Proceedings of the American Mathematical Society, Vol. 119, No. 3.
(Nov., 1993), pp. 803-810, Jstor.
- Partial sums of the harmonic
series.
Walls, Gary L.
Math. Comput. Ed. 27 (1993), no. 1, 33--36,
MathSciNet.
- Six Ways to Sum a Series
Dan Kalman
College Math Journal: Volume 24, Number 5, 1993, Pages:
402-421
- Calculus
and Probability Determine the Performance of a Disk Drive (in
Classroom Notes)
Louise E. Moser
SIAM Review, Vol. 34, No. 4. (Dec., 1992), pp.
635-641.
- Calculus,
Planets, and General Relativity (in Classroom
Notes)
Frank Morgan
SIAM Review, Vol. 34, No. 2. (Jun., 1992), pp.
295-299.
- On
the Determination of the Intermediate Point in Taylor's
Theorem
Ruben Mera
American Mathematical Monthly, Vol. 99, No. 1. (Jan., 1992), pp.
56-58, Jstor.
- Some
Remarks on the Stability of a Property Related to the Mean Value
Theorem for Harmonic Functions
Burton Randol
Proceedings of the American Mathematical Society, Vol. 114, No. 1.
(Jan., 1992), pp. 175-179, Jstor.
- Discovering and Experiencing
the Fundamental Theorem of Calculus.
Rosenthal, Bill
Primus v2 n2 p131-54 Jun 1992, ERIC.
- Sequences, Series, and
Mathematica.
Mathews, John H.
School science and mathematics, 1992, vol. 92, no. 6, pp. 318-324,
Ingenta.
- Investigation of Tangent
Polynomials with a Computer Algebra System
Russell Howell;
The AMATYC Review, Vol. 14, No. 1, Fall 1992, pp. 20-27.
- A Characterization of
Continuity
Jingcheng Tong
Mathematics Magazine: Volume 65, Number 4, 1992, Pages:
255-256
- Relative Maxima or Minima for
a Function of Two Variables: A Neglected Approach
Paul Chacon
College Math Journal: Volume 23, Number 2, 1992, Pages:
145-146
- A
Freshman Calculus Proof that Real Quartics Factor (in The Teaching
of Mathematics)
John Isbell
American Mathematical Monthly, Vol. 98, No. 8. (Oct., 1991), pp.
749-751.
- Storage
Tank Design (in Classroom Notes)
L. J. Gray
SIAM Review, Vol. 33, No. 2. (Jun., 1991), pp.
271-274.
- On
the Mean Value Theorem, Inequality, and Inclusion (in The Teaching
of Mathematics)
M. Furi, M. Martelli
American Mathematical Monthly, Vol. 98, No. 9. (Nov., 1991), pp.
840-846, Jstor.
- A
Topological Mean Value Theorem for the Plane (in The Teaching of
Mathematics)
Ira Rosenholtz
American Mathematical Monthly, Vol. 98, No. 2. (Feb., 1991), pp.
149-154, Jstor.
- Is There Calculus without the
Fundamental Theorem?
Johnson, Marvin L.
Mathematics and Computer Education v25 n2 p165-73 Spr 1991,
ERIC.
- Mathematica, a New Tool
for Studying Optimization
Mathews, John H.
International Journal of Mathematics Education in Science and
Technology, Vol. 22, No. 4, (1991), pp. 569-576.
- L'Hopital's Rule with
Mathematica
Mathews, John H.
The AMATYC Review, Fall 1991, Vol. 13, No. 1, pp. 40-46.
- Finding Extrema of Functions
of Several Variables with a Computer Algebra System
Mathews, John H.
The AMATYC Review, Vol. 12, No. 2, Spring 1991, pp. 12-20.
- Comparative
Dynamics via Envelope Methods in Variational
Calculus
Michael R. Caputo
The Review of Economic Studies, Vol. 57, No. 4. (Oct., 1990), pp.
689-697, Jstor.
- A
New Extension of the Derivative (in The Teaching of
Mathematics)
Daniel Kopel, Michael Schramm
American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp.
230-233, Jstor.
- Continuous
Functions and Connected Graphs (in The Teaching of
Mathematics)
C. E. Burgess
American Mathematical Monthly, Vol. 97, No. 4. (Apr., 1990), pp.
337-339, Jstor.
- Remainder
Estimates in Taylor's Theorem (in The Teaching of
Mathematics)
G. B. Folland
American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp.
233-235, Jstor.
- The
Remainder in Taylor's Formula
Esteban I. Poffald
American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp.
205-213, Jstor.
- A
Simple Derivation of the Maclaurin Series for Sine and Cosine (in
The Teaching of Mathematics)
Deng Bo
American Mathematical Monthly, Vol. 97, No. 9. (Nov., 1990), p.
836, Jstor.
- Inverse
Functions and their Derivatives (in The Teaching of
Mathematics)
Ernst Snapper
American Mathematical Monthly, Vol. 97, No. 2. (Feb., 1990), pp.
144-147.
- Teaching Numerical Integration
in a Revitalized Calculus
Temple H. Fay
Math. Comput. Ed. 24 (1990), no. 3, 240--247.
- Computer Corner: Using a
Computer Algebra System to Solve for Maxima and Minima.
Lopez, Robert; Mathews, John
The College mathematics journal, 1990, vol. 21, no. 5, pp. 410,
Ingenta.
- Some Interesting Fixed
Points
Tan, Soo Tang; Mathews, John
Mathematics magazine, 1990, vol. 63, no. 4, pp. 263,
Ingenta.
- Teaching Riemann Sums Using
Computer Symbolic Algebra Systems.
Mathews, John H.
The College mathematics journal, 1990, vol. 21, no. 1, pp. 51,
Ingenta.
- The
Function sin(x)/x
William B. Gearhart, Harris S. Shultz
College Math Journal: Volume 21, Number 2, 1990, Pages:
90-99
- (x^n)' = nx^{n-1}: Six
Proofs
Russell Jay Hendel
College Math Journal: Volume 21, Number 4, 1990, Pages:
312-313
- The
Mathematics of a Home-Made Parabolic Reflector (in Classroom
Notes)
Yves Nievergelt
SIAM Review, Vol. 31, No. 3. (Sep., 1989), pp.
490-492.
- Computing
the Projected Area of a Cone (in Classroom
Notes)
S. Pennell, J. Deignan
SIAM Review, Vol. 31, No. 2. (Jun., 1989), pp.
299-302.
- Minima
for Elastics on Rigid Cylinders (in Classroom
Notes)
Vagn Lundsgaard Hansen
SIAM Review, Vol. 31, No. 2. (Jun., 1989), pp.
310-317.
- Computer Algebra Systems
Approach to Teaching Taylor Polynomials
Mathews, John H.
The AMATYC Review, Vol. 11, No. 1, (Part 2), Fall 1989, pp. 61-66.
- Computer Symbolic Algebra
Applied to Convergence Testing of Infinite Series.
Mathews, John H.
Collegiate Microcomputer v7 n2 p171-76 May 1989,
ERIC.
- An Improved Newton's
Method
Mathews, John H.
AMATYC Review v10 n2 p9-14 Spr 1989, ERIC.
- Some Thoughts about Limits
Ray Redheffer
Mathematics Magazine: Volume 62, Number 3, 1989, Pages:
176-184
- Parametric Integration
Techniques
Auree J. Zajta, University of Houston-Downtown, Sudhir K. Goe
Mathematics Magazine: Volume 62, Number 5, 1989, Pages:
318-322
- Evaluating the Sum of the
Series
Alan Gorfin
College Math Journal: Volume 20, Number 4, 1989, Pages:
329-331
- A Simple Auxiliary Function
for the Mean Value Theorem
Herb Silverman
College Math Journal: Volume 20, Number 4, 1989, Pages:
323
- Dimensional
Analysis and Calculus Identities (in The Teaching of
Mathematics)
J. R. Torczynski
American Mathematical Monthly, Vol. 95, No. 8. (Oct., 1988), pp.
746-754.
- A
Calculus Based Approach to the Blood Testing Problem (in Classroom
Notes)
D. W. Turner, F. E. Tidmore, D. M. Young
SIAM Review, Vol. 30, No. 1. (Mar., 1988), pp.
119-122.
- A Discrete L'Hopital's
Rule.
Huang, Xun-Cheng
College Mathematics Journal v19 n4 p321-29 Sep 1988,
ERIC.
- Estimating the Sum of
Alternating Series.
Harper, James D.
College Mathematics Journal v19 n2 p149-53 Mar 1988,
ERIC.
- The
nth Derivative as a Limit (in Notes)
J. B. Wilker
American Mathematical Monthly, Vol. 94, No. 4. (Apr., 1987), pp.
354-356.
- A Note on Evaluating Limits
Using Riemann Sums
Sudhir K. Goel, Dennis M. Rodriguez
Mathematics Magazine: Volume 60, Number 4, 1987, Pages:
225-228
- Using Riemann Sums in
Evaluating a Familiar Limit
Frank Burk, Sudhir K. Goel, Dennis M. Rodriguez
College Math Journal: Volume 17, Number 2, 1986, Pages:
170-171
- Another Approach to a Class of
Slowly Diverging Series
Norman Schaumberger
College Math Journal: Volume 17, Number 5, 1986, Pages:
417
- Counterexample to a Comparison
Test for Alternating Series
J. Richard Morris
College Math Journal: Volume 17, Number 2, 1986, Pages:
165-166
- A Proof for the Able Calculus
Student.
Zlot, William
Mathematics and Computer Education v19 n2 p99-105 Spr 1985,
ERIC.
- Relating Differentiability and
Uniform Continuity
Irl C. Bivens and L. R. King
College Math Journal: Volume 16, Number 4, 1985, Pages:
283
- On
Van Der Waerden's Nowhere Differentiable Function (in
Notes)
F. S. Cater
American Mathematical Monthly, Vol. 91, No. 5. (May, 1984), pp.
307-308.
- Hanging
Rope of Minimum Elongation (in Classroom Notes in Applied
Mathematics)
Ghasi R. Verma, Joseph B. Keller
SIAM Review, Vol. 26, No. 4. (Oct., 1984), pp.
569-571.
- Classroom Capsules: Finding
Bounds for Definite Integrals
W. Vance Underhill
College Math Journal: Volume 15, Number 5, 1984, Pages:
426-429
- Is Every Continuous Function
Uniformly Continuous?
Ray F. Snipes
Mathematics Magazine: Volume 57, Number 3, 1984, Pages:
169-173
- A
Simple Theorem on Riemann Integration, Based on Classroom
Experience (in Classroom Notes in Applied
Mathematics)
Lance D. Drager
SIAM Review, Vol. 25, No. 2. (Apr., 1983), pp. 255-259,
Jstor.
- The epsilon-delta
Connection
Larry King
College Math Journal: Volume 14, Number 1, 1983, Pages:
42-47
- Arc Length, Area, and the
Arcsine Function
Andrew M. Rockett
Mathematics Magazine: Volume 56, Number 2, 1983, Pages:
104-110
- The Changing Concept of
Change: The Derivative from Fermat to Weierstrass
Judith V. Grabiner
Mathematics Magazine: Volume 56, Number 4, 1983, Pages:
195-206
- An Alternative to the Integral
Test
Gerald Jungck
Mathematics Magazine: Volume 56, Number 4, 1983, Pages:
232-238
- Evaluating Integrals by
Differentiation
Joseph Wiener
College Math Journal: Volume 14, Number 2, 1983, Pages:
168-169
- A
Function with a Discontinuous Derivative (in
Notes)
Bruce Peterson
American Mathematical Monthly, Vol. 89, No. 4. (Apr., 1982), pp.
249-250+263.
- Power Series for Practical
Purposes
Ralph Boss
College Math Journal: Volume 13, Number 3, 1982, Pages:
191-195
- Change of Variables in
Multiple Integrals: Euler to Cartan
Victor J. Katz
Mathematics Magazine: Volume 55, Number 1, 1982, Pages:
3-11
- Every
Power Series is a Taylor Series (in Classroom
Notes)
Mark D. Meyerson
American Mathematical Monthly, Vol. 88, No. 1. (Jan., 1981), pp.
51-52.
- Fixed point iteration - An
interesting way to begin a calculus course
Thomas Butts
College Math Journal: Volume 12, Number 1, 1981, Pages:
2-7
- Must a ``Dud'' Necessarily Be
an Inflaction Point?
Michael W. Ecker
College Math Journal: Volume 12, Number 5, 1981, Pages:
332-333
- Uniqueness of Power Series
Representations
Garfield C. Schmidt
College Math Journal: Volume 12, Number 1, 1981, Pages:
54-56
- Rearranging
the Alternating Harmonic Series (in Classroom
Notes)
C. C. Cowen, K. R. Davidson, R. P. Kaufman
American Mathematical Monthly, Vol. 87, No. 10. (Dec., 1980), pp.
817-819.
- Summation
of Series (in Classroom Notes)
Gabriel Klambauer
American Mathematical Monthly, Vol. 87, No. 2. (Feb., 1980), pp.
128-130.
- Delta, Epsilon, and
Polynomials
Andre L. Yandl
College Math Journal: Volume 11, Number 4, 1980, Pages:
263-266
- Integration in Finite Terms:
The Liouville Theory
Toni Kasper
Mathematics Magazine: Volume 53, Number 4, 1980, Pages:
195-201
- How Close are the Riemann Sums
to the Integral They Approximate?
V. N. Murty
College Math Journal: Volume 11, Number 4, 1980, Pages:
268-270
- A
Discrete Approach to Computer-Oriented Calculus (in Mathematical
Education)
Sheldon P. Gordon
American Mathematical Monthly, Vol. 86, No. 5. (May, 1979), pp.
386-391.
- Calculus
and Linear Algebra in APL (in Mathematical
Education)
James W. England
American Mathematical Monthly, Vol. 85, No. 5. (May, 1978), pp.
371-376.
- The
Integral Definition of the Logarithm and the Logarithmic Series
(in Classroom Notes)
A. P. French
American Mathematical Monthly, Vol. 85, No. 7. (Aug. - Sep.,
1978), pp. 580-582.
- Integration
by Parts and Inverse Functions (in Classroom
Notes)
Gabriel Klambauer
American Mathematical Monthly, Vol. 85, No. 8. (Oct., 1978), pp.
668-669.
- A
Calculus Approach to the Theory of the Core of an Exchange
Economy
Leif Johansen
The American Economic Review, Vol. 68, No. 5. (Dec., 1978), pp.
813-820, Jstor.
- Generalizations
of L'Hopital's Rule
Cheng-Ming Lee
Proceedings of the American Mathematical Society, Vol. 66, No. 2.
(Oct., 1977), pp. 315-320.
- A
Picture for the Derivative (in Classroom
Notes)
Nathaniel A. Friedman
American Mathematical Monthly, Vol. 84, No. 6. (Jun. - Jul.,
1977), pp. 470-471.
- A
Bounded Derivative Which is Not Riemann Integrable (in Classroom
Notes)
Casper Goffman
American Mathematical Monthly, Vol. 84, No. 3. (Mar., 1977), pp.
205-206.
- Another
Note on Limits of Composite Functions (in Classroom
Notes)
Jurg Ratz
American Mathematical Monthly, Vol. 84, No. 1. (Jan., 1977), pp.
49-52.
- An Interesting Approach to
Delta, Epsilon Proofs
Angel, Allen R.
Two-Year College Mathematics Journal 8, 5, 278-80, Nov 1977,
ERIC.
- The
Derivative Reconsidered (in Classroom
Notes)
Leon W. Cohen
American Mathematical Monthly, Vol. 83, No. 9. (Nov., 1976), pp.
727-728.
- Use
of Canned Computer Programs in Freshman Calculus (in Mathematical
Education)
Margaret S. Menzin
American Mathematical Monthly, Vol. 83, No. 5. (May, 1976), pp.
375-378.
- Using
Electronic Programmable Calculators (Mini-Computers) in Calculus
Instruction (in Mathematical Education)
Thomas O'Loughlin
American Mathematical Monthly, Vol. 83, No. 4. (Apr., 1976), pp.
281-283.
- An
Interesting Subseries of the Harmonic Series (in Classroom
Notes)
A. D. Wadhwa
American Mathematical Monthly, Vol. 82, No. 9. (Nov., 1975), pp.
931-933.
- Limit
of the Composite of Two Functions (in Classroom
Notes)
P. Ramankutty, M. K. Vamanamurthy
American Mathematical Monthly, Vol. 82, No. 1. (Jan., 1975), pp.
63-64.
- Numerical
Differentiation for Calculus Students (in Classroom
Notes)
David A. Smith
American Mathematical Monthly, Vol. 82, No. 3. (Mar., 1975), pp.
284-287.
- A
Strong Second Derivative Test (in Classroom
Notes)
J. H. C. Creighton
American Mathematical Monthly, Vol. 82, No. 3. (Mar., 1975), pp.
287-289.
- Using
the Computer as a Discovery Tool in Calculus (in Mathematical
Education)
G. L. Thesing, C. A. Wood
American Mathematical Monthly, Vol. 81, No. 2. (Feb., 1974), pp.
163-168.
- An Interpolation Question
Resolved by Calculus
Martin D. Landau and William R. Jones
College Math Journal: Volume 4, Number 1, Pages: 36-39
1973
- A
Laboratory and Computer Based Approach to Calculus (in
Mathematical Education)
Solomon Garfunkel
American Mathematical Monthly, Vol. 79, No. 3. (Mar., 1972), pp.
282-290.
- The Derivative Doesn't Always
Work
Amir-Moez, Ali R.
School Science and Mathematics 72, 8, 723-725, Nov 1972,
ERIC.
- The
Derivative of a Determinant (in Classroom
Notes)
M. A. Golberg
American Mathematical Monthly, Vol. 79, No. 10. (Dec., 1972), pp.
1124-1126.
- An
Alternative to the Integral Test for Infinite Series (in Classroom
Notes)
G. J. Porter
American Mathematical Monthly, Vol. 79, No. 6. (Jun. - Jul.,
1972), pp. 634-635.
- Calculus
and the Computer, The CRICISAM Calculus Project--Past, Present and
Portent (in Mathematical Education)
E. P. Miles, Jr.
American Mathematical Monthly, Vol. 78, No. 3. (Mar., 1971), pp.
284-291.
- The
Intervals of Convergence of Some Power Series (in Classroom
Notes)
Eugene Schenkman
American Mathematical Monthly, Vol. 78, No. 8. (Oct., 1971), pp.
890-892.
- A
Combinatorial Proof of a Partition Function Limit (in Classroom
Notes)
G. E. Andrews
American Mathematical Monthly, Vol. 78, No. 3. (Mar., 1971), pp.
276-278.
- On
Functions with Summable Derivative (in Mathematical
Notes)
Casper Goffman
American Mathematical Monthly, Vol. 78, No. 8. (Oct., 1971), pp.
874-875.
- A
Computer Assisted Approach to Integral Calculus Via Jordan Content
(in Classroom Notes)
G. J. Porter
American Mathematical Monthly, Vol. 77, No. 9. (Nov., 1970), pp.
999-1001.
- Limit
Points of Sequences in Metric Spaces (in Mathematical
Notes)
M. D. Asic, D. D. Adamovic
American Mathematical Monthly, Vol. 77, No. 6. (Jun. - Jul.,
1970), pp. 613-616.
- Riemann
Integration of Limit Functions (in Classroom
Notes)
H. Kestelman
American Mathematical Monthly, Vol. 77, No. 2. (Feb., 1970), pp.
182-187.
- The
Mixed Partial Derivatives and the Double Derivative (in Classroom
Notes)
Donald H. Trahan
American Mathematical Monthly, Vol. 76, No. 1. (Jan., 1969), pp.
76-77.
- Limits
(in Classroom Notes)
Leonard Gillman
American Mathematical Monthly, Vol. 75, No. 1. (Jan., 1968), pp.
59-62.
- On
the Roots of the Derivative of a Polynomial With Real Roots (in
Mathematical Notes)
Gideon Peyser
American Mathematical Monthly, Vol. 74, No. 9. (Nov., 1967), pp.
1102-1104.
- The
First Symmetric Derivative (in Classroom
Notes)
C. E. Aull
American Mathematical Monthly, Vol. 74, No. 6. (Jun. - Jul.,
1967), pp. 708-711.
- On
a Well-Known Improper Integral (in Classroom
Notes)
Hiroshi Haruki
American Mathematical Monthly, Vol. 74, No. 7. (Aug. - Sep.,
1967), pp. 846-848.
- Power
Series Solutions of Ordinary Differential Equations (in Classroom
Notes)
John W. Dettman
American Mathematical Monthly, Vol. 74, No. 4. (Apr., 1967), pp.
428-430.
- Change
of Variables Test for Convergence of Series (in Classroom
Notes)
Lee Yong-Jeng
American Mathematical Monthly, Vol. 73, No. 9. (Nov., 1966), pp.
996-997.
- Some
Divergence Properties of Series (in Classroom
Notes)
M. E. Taylor
American Mathematical Monthly, Vol. 73, No. 8. (Oct., 1966), pp.
872-875.
- New
Geometric Representation of an Old Infinite Series (in Classroom
Notes)
A. Feingold
American Mathematical Monthly, Vol. 73, No. 5. (May, 1966), pp.
528-531.
- Some
Extensions of the Integral Test (in Classroom
Notes)
G. T. Cargo
American Mathematical Monthly, Vol. 73, No. 5. (May, 1966), pp.
521-525.
- Taylor's
Formula with Derivative Remainder (in Classroom
Notes)
Alfred J. Maria
American Mathematical Monthly, Vol. 73, No. 1. (Jan., 1966), pp.
67-68.
- Stability
by Freshman Calculus (in Classroom Notes)
R. M. Redheffer
American Mathematical Monthly, Vol. 71, No. 6. (Jun. - Jul.,
1964), pp. 656-659.
- A
Non-Hausdorff Topology Such That Each Convergent Sequence Has
Exactly One Limit (in Mathematical Notes)
Paul Slepian
American Mathematical Monthly, Vol. 71, No. 7. (Aug. - Sep.,
1964), pp. 776-778.
- On
Assigning an Arbitrary Limit to a Linearly Independent Sequence of
Vectors (in Mathematical Notes)
Detlef Laugwitz
American Mathematical Monthly, Vol. 71, No. 3. (Mar., 1964), pp.
290-291.
- On
the Riemann Integral in Two Dimensions (in Classroom
Notes)
Solomon Marcus
American Mathematical Monthly, Vol. 71, No. 5. (May, 1964), pp.
544-545.
- A
Modified MacLaurin Integral Test (in Classroom
Notes)
Louis C. Barrett
American Mathematical Monthly, Vol. 71, No. 2. (Feb., 1964), pp.
190-193.
- The
Maclaurin Series for e^x (in Classroom
Notes)
J. R. Isbell
American Mathematical Monthly, Vol. 71, No. 9. (Nov., 1964), pp.
1033-1034.
- On
Approximation of Slowly Convergent Series (in Classroom
Notes)
O. E. Stanaitis
American Mathematical Monthly, Vol. 71, No. 2. (Feb., 1964), pp.
186-190.
- The
Limit Concept in the Education of Teachers (in Mathematical
Education Notes)
Donald W. Hight
American Mathematical Monthly, Vol. 70, No. 2. (Feb., 1963), pp.
203-205.
- The
n-th Derivative of a Product (in Classroom
Notes)
D. Mazkewitsch
American Mathematical Monthly, Vol. 70, No. 7. (Aug. - Sep.,
1963), pp. 739-742.
- On
Several Applications of the First Derivative of a Determinant (in
Mathematical Notes)
David Zeitlin
American Mathematical Monthly, Vol. 70, No. 1. (Jan., 1963), pp.
58-60.
- Calculus--A
New Look (in Classroom Notes)
D. E. Richmond
American Mathematical Monthly, Vol. 70, No. 4. (Apr., 1963), pp.
415-423.
- Note
on Multiple Power Series (in Classroom
Notes)
I. M. Sheffer
American Mathematical Monthly, Vol. 70, No. 3. (Mar., 1963), pp.
309-313.
- A
Note on Alternating Series (in Classroom
Notes)
Philip Calabrese
American Mathematical Monthly, Vol. 69, No. 3. (Mar., 1962), pp.
215-217.
- On
the n-th Derivative of the Inverse Function (in Mathematical
Notes)
J. F. Traub
American Mathematical Monthly, Vol. 69, No. 9. (Nov., 1962), pp.
904-907.
- Some
Curious Limits Involving Definite Integrals (in Classroom
Notes)
H. W. Gould, T. A. Chapman
American Mathematical Monthly, Vol. 69, No. 7. (Aug. - Sep.,
1962), pp. 651-653.
- Differential
Calculus in Nonlinear Programming
Douglass J. Wilde
Operations Research, Vol. 10, No. 6. (Nov. - Dec., 1962), pp.
764-773, Jstor.
- A
Continuous Function (in Classroom Notes)
E. F. Assmus, Jr.
American Mathematical Monthly, Vol. 69, No. 7. (Aug. - Sep.,
1962), p. 647.
- Existence
of a Maximum of a Continuous Function (in Classroom
Notes)
W. B. Pennington
American Mathematical Monthly, Vol. 67, No. 9. (Nov., 1960), pp.
892-893.
- On
the Definition of the Riemann Integral (in Classroom
Notes)
Abe Sklar
American Mathematical Monthly, Vol. 67, No. 9. (Nov., 1960), pp.
897-900.
- A
Useful Integral Formula (in Classroom
Notes)
Donald K. Pease
American Mathematical Monthly, Vol. 66, No. 10. (Dec., 1959), p.
908.
- Differentiation
of the Repeated Integral (in Classroom
Notes)
John G. Christiano
American Mathematical Monthly, Vol. 66, No. 2. (Feb., 1959), pp.
127-129.
- The
Higher Derivative Test for Extrema and Points of Inflection (in
Classroom Notes)
Stanley W. Nash
American Mathematical Monthly, Vol. 66, No. 8. (Oct., 1959), pp.
709-713.
- On
the Derivative of x^c (in Classroom Notes)
S. Leader
American Mathematical Monthly, Vol. 65, No. 5. (May, 1958), pp.
364-365.
- A
Calculus Problem with Overtones in Related Fields (in Classroom
Notes)
C. S. Ogilvy
American Mathematical Monthly, Vol. 65, No. 10. (Dec., 1958), pp.
765-767.
- A
Definite Integral (in Classroom Notes)
Albert Wilansky
American Mathematical Monthly, Vol. 65, No. 10. (Dec., 1958), pp.
770-771.
- Extension
of the Derivative Concept for Functions of
Matrices
R. F. Rinehart
Proceedings of the American Mathematical Society, Vol. 8, No. 2.
(Apr., 1957), pp. 329-335, Jstor.
- On
the n-th Derivative of Composite Functions (in Mathematical
Notes)
Michel McKiernan
American Mathematical Monthly, Vol. 63, No. 5. (May, 1956), pp.
331-333.
- On
the Applications of the Fundamental Theorem of Integral Calculus
(in Classroom Notes)
Paul Schillo
American Mathematical Monthly, Vol. 63, No. 5. (May, 1956), pp.
340-341.
- A
Useful Reduction Integral (in Classroom
Notes)
J. W. Campbell
American Mathematical Monthly, Vol. 62, No. 2. (Feb., 1955), pp.
117-118.
- Boundness
of a Continuous Function (in Classroom
Notes)
M. D. Marcus
American Mathematical Monthly, Vol. 62, No. 8. (Oct., 1955), p.
580.
- L'Hopital's
Rule and Expansion of Functions in Power Series (in Classroom
Notes)
M. R. Spiegel
American Mathematical Monthly, Vol. 62, No. 5. (May, 1955), pp.
358-360.
- The
Fundamental Theorem of the Differential Calculus (in Classroom
Notes)
W. R. Ransom
American Mathematical Monthly, Vol. 62, No. 5. (May, 1955), pp.
361-363.
- A
Natural Approach to the Fundamental Theorem of the Integral
Calculus (in Classroom Notes)
J. P. Hoyt
American Mathematical Monthly, Vol. 61, No. 6. (Jun. - Jul.,
1954), pp. 413-415, Jstor.
- Proof
of the First Mean Value Theorem of the Integral Calculus (in
Classroom Notes)
T. Putney
American Mathematical Monthly, Vol. 60, No. 2. (Feb., 1953), pp.
113-114.
- The
Derivative of cos x (in Classroom Notes)
A. G. Anderson
American Mathematical Monthly, Vol. 60, No. 4. (Apr., 1953), pp.
255-256.
- Limits
used in the Derivative of sin x (in Classroom
Notes)
D. K. Pease
American Mathematical Monthly, Vol. 60, No. 7. (Aug. - Sep.,
1953), p. 477.
- An
Everywhere Continuous Nowhere Differentiable Function (in
Classroom Notes)
John McCarthy
American Mathematical Monthly, Vol. 60, No. 10. (Dec., 1953), p.
709.
- On
the Convergence of the p-Series (in Classroom
Notes)
R. M. Foster, M. S. Klamkin
American Mathematical Monthly, Vol. 60, No. 9. (Nov., 1953), pp.
625-626.
- Insight
and Understanding in the Calculus (in Classroom
Notes)
Walter Prenowitz
American Mathematical Monthly, Vol. 60, No. 1. (Jan., 1953), pp.
32-37.
- Term-Wise
Differentiation of Power Series (in Classroom
Notes)
T. M. Apostol
American Mathematical Monthly, Vol. 59, No. 5. (May, 1952), pp.
323-326.
- The
Limit for e (in Classroom Notes)
Richard Lyon, Morgan Ward
American Mathematical Monthly, Vol. 59, No. 2. (Feb., 1952), pp.
102-103.
- Integrability
of Continuous Functions (in Classroom
Notes)
M. J. Norris
American Mathematical Monthly, Vol. 59, No. 4. (Apr., 1952), pp.
244-245.
- An
Elementary Integral (in Classroom Notes)
A. W. Walker
American Mathematical Monthly, Vol. 59, No. 2. (Feb., 1952), pp.
103-104.
- The
Maximum Value of a Continuous Function (in Classroom
Notes)
M. K. Fort, Jr.
American Mathematical Monthly, Vol. 58, No. 1. (Jan., 1951), pp.
32-33.
- A
Different Approach to a Known Integral (in Classroom
Notes)
H. L. Lee
American Mathematical Monthly, Vol. 57, No. 6. (Jun. - Jul.,
1950), pp. 413-415.
- The
Probability Integral (in Classroom Notes)
C. P. Nicholas, R. C. Yates
American Mathematical Monthly, Vol. 57, No. 6. (Jun. - Jul.,
1950), pp. 412-413.
- Limits
by "Consecutive Rationals" (in Classroom
Notes)
Gordon Pall
American Mathematical Monthly, Vol. 56, No. 10. (Dec., 1949), pp.
682-683.
- The
nth Derivative of a Fractional Function (in Mathematical
Notes)
V. F. Ivanoff
American Mathematical Monthly, Vol. 55, No. 8. (Oct., 1948), p.
491.
- A
Generalization of the Ratio Test for Series (in Classroom
Notes)
R. J. Duffin
American Mathematical Monthly, Vol. 55, No. 3. (Mar., 1948), pp.
153-155.
- A
Simplification of the Second Derivative Test (in Classroom
Notes)
L. S. Laws
American Mathematical Monthly, Vol. 54, No. 9. (Nov., 1947), pp.
543-544.
- An
Example of a Continuous Function with Finite Discontinuit in Its
Second Derivative (in Questions, Discussions, and
Notes)
W. R. Longley
American Mathematical Monthly, Vol. 44, No. 7. (Aug. - Sep.,
1937), pp. 467-470.
(c) John
H. Mathews 2003