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Getting Started in the ECE Program in Mathematics

Revised July 2012

Contact Information
The Early College Experience Program, part of the Office of Early College Programs, certifies both instructors and courses. For general information, refer to the Program's Web site. For specific questions about various administrative procedures, contact the appropriage person below:

  • Office of Early College Programs
    The University of Connecticut
    368 Fairfield Rd Unit 2171
    Storrs, CT 06269-2171.
    Telephone: (860) 486-1045.
    Facsimilie: (860) 486-0042.
    Electronic Mail: ece@uconn.edu.
  • Dr. Gillian B. Thorne, Director of the Office of Early College Programs
    Telephone: 486-5581.
    Electronic mail: Gillian.Thorne@UConn.edu.
  • Mr. Brian Boecherer, Associate Director of the Office of Early College Programs
    Telephone: 486-8828.
    Electronic mail: Brian.Boecherer@UConn.edu.
  • Ms. Stefanie Rabin, ECE Program Coordinator
    Telephone: 486-8033.
    Electronic mail: Stefanie.Rabin@UConn.edu.
  • Ms. Magdalena Narozniak, Program Assistant for Research & Development
    Telephone: 486-6045.
    Electronic mail: Magda.Narozniak@UConn.edu
  • Ms. Erin Blanchette, Business Manager
    Telephone: 486-0702.
    Electronic mail: Erin.Blanchette@UConn.edu.

Course Offerings starting AY 2013-2014

  • Math 1030Q, Elementary Discrete Mathematics
  • Math 1131Q − 1132Q, Calculus I & II.


The Calculus sequence corresponds roughly to the Advanced Placement Program's Calculus BC, while Math 1131Q (Calculus I) alone will need extra material added to cover the Advanced Placement Program's Calculus AB curriculum. Math 1131Q and 1132Q carry 4 credits each.


Note: students may not receive credit for Math 1030Q after completing any calculus course. Students cannot take Math 1131Q if they have credit for either Math 1125Q or 1126Q, two courses which will no longer be offered starting Fall 2013. Students who have completed Math 1126Q in the past and which to continue with calculus should take Math 1132Q to complete the freshman year calculus curriculum.

Instructor Certification Requirements
Prospective ECE calculus teachers should have:

  • a Master's degree in Mathematics,
  • or
  • a strong undergraduate mathematics major plus a Master's degree in a closely related field, such as Mathematics Education.

Among the courses showing a strong mathematics undergraduate background, the transcript must include at least a theoretical proof-oriented course on the theory of calculus (i.e., Real Analysis or Theoretical Advanced Calculus) with a grade of B or better. Let me clarify that this requirement of a B or better in a proof-oriented theory of calculus course is only part of a strong undergraduate mathematics major. Exceptions to this requirement are highly unusual, and occur only in very special circumstances. Certification standards for Math 1030Q are somewhat less rigorous. For further information, contact the ECE Program Office Manager.

Certification Procedure
A nominee's principal and department head (or teaching supervisor) submit to the Manager letters of nomination with the Program's downloadable Instructor Certification Application form. The letters should discuss the nominee's teaching qualifications in detail and include evidence of the teacher's skill, based on first-hand evaluation and the record of student achievement. The teacher's professional résumé and a complete set of original transcripts (or certified copies from the school's files) should accompany the application. Favorable review of those materials leads to a certification interview at Storrs with the Departmental coordinator:

Dr. David Gross
Associate Deprtment Head for the Undergraduate Program
ECE Mathematics Coordinator
Telephone: (860) 486-1292
Facsimilie: (860) 486-4238
E-mail: David.Gross@UConn.edu

The interview explores the instructor's background and experience in more detail, as well as course content, student performance standards and mechanics of the program's operation. Following the interview, the Manager makes the final certification decision. The certification process normally requires several weeks, plus attendance at an ECE Program Orientation Workshop, which the interview with the Departmental Coordinator may accompany. For students to earn University credit in an ECE course, it must be taught by an instructor who certification is complete prior to the start of the course.

To maintain certification, teachers must participate in an annual re-certification workshop at the University at least biennially.

Student Enrollment
Once a school is part of the program, each year it determines which of its students qualify for ECE courses. The individual students are responsible for returning enrollment forms prior to the registration deadline established by the ECE Office.

An ECE course must:

  • follow the current UConn course outline
  • give examinations equivalent to the corresponding University course's
  • assign grades that fully reflect University standards.


Core final-exam questions for calculus are provided by the University's Department of Mathmeatics.

Ordinarily, the high-school version of each course uses the same text and outline in use at Storrs, although the pace may be slower. Copies of recent midterm and final examinations are available to ECE instructors on line. Accessing those documents is explained as part of the certification process. Current outlines and other course materials are freely available at the Mathematics Department's web site.

Approved Textbooks
To assure full equivalence between ECE and corresponding UConn courses, any text other than those below and the accompanying outline from it must have the Departmental Coordinator's explicit written approval. To allow a thorough review, please submit any such text and outline well in advance of ordering deadlines.

Note: In all cases, the college/university edition of the text must be used, and in all cases the edition must be current (that is, must be in print). No text that is out of print as of May, 2011, remains on this current list of acceptable texts. When a text goes off the list, a school must replace it by a text on the current list within at most four years.

Math 1131Q–1132Q. As of Fall 2012, only the following books are eligible for adoption for the ECE versions of Calculus Ia (Math 1125Q), Calculus Ib (Calculus Ib), Calculus I (Math 1131Q) and Calculus II (Math 1132Q). 

  • W. Briggs & L. Cochran, Singel Variable Calculus, Early Transcendentals, 1st Ed. Pearson, ISBN-10: 031554140 (Math 1125Q-1126Q and the Math 1131Q-1132Q use this text at Storrs starting Fall 2010 for 1125Q and 1131Q and Spring 2011 for 1126Q and 1132Q)
  • J. Stewart, Single Variable Calculus: Early Transcendentals, 7th Ed., Cengage Brooks/Cole, 2012, ISBN 0538498676 
  • J. Stewart, Calculus, Early Transcendentals, 7th Ed., Cengage Brooks/Cole, 2012, ISBN 0538497904
  • D. Hughes Hallett, A. M. Gleason, W. G. McCallum et al., Calculus Single Variable, 5th Ed., John Wiley Publishers, 2009, ISBN-13: 9780470089156.
  • R. Smith & R. Minton, Calculus, Single Variable: Early Transcendental Functions, 4rd Ed., 2012, McGraw-Hill, ISBN-13: 9780073532325.
  • G. Thomas, M. Weir, & J. Hass, Thomas' Calculus, Early Transcendentals, 12th Ed., Pearson/Addison-Wesley, 2010. ISBN 0321588762.
  • J. Stewart, Single Variable Calculus, Concepts and Contexts, 4th Ed., Cengage Brooks/Cole, 2010, ISBN 0495559725.
  • R. Larson, B. Edwards, Calculus of a Single Variable, Early Transcendal Functions, 5th Ed., Cengage/Brooks Cole, 2011, ISBN-13: 978053835520.

For the other mathematics course, Math 1030Q, in the ECE program, the text must be identical in all respects (including edition) to the text in use at Storrs. As of Fall, Fall 2012, that text is:

  • George T. Gilbert & Rhonda L. Hatcher, Mathematics Beyond the Numbers, Kendall Hunt Publishing, 2012. ISBN 978-1-4652-0486-8.


Recently moved off the textbook list:

  • J. Stewart, Single Variable Calculus: Early Transcendentals, 6th Ed., Cengage Brooks/Cole, 2008, ISBN 049501169X 
  • J. Stewart, Calculus, Early Transcendentals, 6th Ed., Cengage Brooks/Cole, 2008, ISBN 0495011665
  • J. Stewart, Single-Variable Calculus: Concepts and Contexts, 3rd Ed., Cengage Brooks/Cole, 2005. ISBN: 0-534-41022-7.
  • J. Stewart, Single-Variable Calculus: Concepts and Contexts, 3rd Ed., Cengage Brooks/Cole, 2005. ISBN: 0-534-41022-7.
  • R. Smith & R. Minton, Calulus: Early Transcendental Functions, 3rd Ed., McGraw-Hill, 2007, ISBN, 0072869534 (with MathZone, ISBN 0073229733)
  • R. Smith & R. Minton, Calculus, Single Variable: Early Transcendental Functions, 3rd Ed., 2007, McGraw-Hill, ISBN 0073309435.
  • D. Hughes Hallett, A. M. Gleason, W. G. McCallum et al., Calculus Single Variable, 4th Ed., John Wiley Publishers, 2005, ISBN 0-471-48482-2
  • Mary E. Davis & C. Henry Edwards, Elementary Mathematical Modeling, Prentice Hall, 2001. ISBN 0-13-096202-3.
  • M. Weir, J. Hass & F. Giordano, Thomas' Calculus, 11th Ed., Addison-Wesley Longman, 2005. ISBN 0-321-18558-7.
  • T. Weir, J. Hass & F. Gordano, Thomas’ Calculus, Early Transcendentals, Part One, 11th Ed., Addison-Wesley, ISBN 032148987X
  • R. Larson, R. Hostetler & B. Edwards, Calculus of a Single Variable, Early Transcendal Functions, 4th Ed., Houghton Mifflin, 2007. ISBN 0-618-60625-4.
  • Math 1030Q(103Q): George T. Gilbert & Rhonda L. Hatcher, Mathematics Beyond the Numbers, Wiley Custom Publishing, 2000. ISBN 0-471-44962-8.