Since 1955, the University has offered some of its courses to superior high school students through the Early College Experience (ECE) Program (since 2005, the name for the former High-School Cooperative Program). The ECE, part of the Office of Early College Programs, certifies both instructors and courses. Currently available at more than 100 Connecticut high schools, the program offers a wide range of lower-division courses to students who have exhibited the talent and dedication to study university-level material while still in high school.

At present approximately 59 Connecticut high schools participating in the ECE Mathematics Program.

For the Academic Year 2012-2013, there were about 1981 students who took ECE Mathematics courses during the year in 125 classes across the state. In the vast majority of these classes, 103 of them, were calculus classes.

For further information, follow one of the links below.

- Getting Started in the Math ECE Program: details about how to join and a list of textbooks currently approved.
- Frequently Asked Questions about the Math ECE Program
- Certified-Teacher Resources (login required)

### Getting Started

Starting in AY 2013-2014, the mathematics courses available through the ECE program are:

- Math 1030Q, Discrete Mathematics.
- Math 1131Q and Math 1132Q, Calculus I&II.

Math 1131Q-1132Q correspond roughly to the Calculus BC courses of the Advanced Placement Program .

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 wish 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 Department Head, Undergraduate Program

ECE Mathematics Coordinator

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 Mathematics and are to be included in the high school’s final exam.

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 midsemester examinations Math 1030Q, Math 1131Q and Math 1132Q are available to ECE instructors online; final exams for Math 1030Q are also available. 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 corresponding ECE and 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, 2015, 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 2015, *only* the following books are eligible for adoption for the ECE versions of Calculus I (Math 1131Q) and Calculus II (Math 1132Q).

- J. Stewart,
*Single Variable Calculus: Early Transcendentals, 8th Ed.,*Cengage, 2016, ISBN 9781305270336 - J. Stewart,
*Calculus, Early Transcendentals, 8th Ed.,*Cengage Brooks/Cole, 2016, ISBN 9781285741550 - W. Briggs & L. Cochran, Single Variable Calculus, Early Transcendentals, 2nd Ed., Pearson, 2015, ISBN-10: 9780321965141
- D. Hughes-Hallett, A. M. Gleason, W. G. McCallum et al.,
*Calculus: Single Variable, 6th Ed.*, John Wiley Publishers, 2013, ISBN-13: 9780470888643. - 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, 13th Ed.*, Pearson/Addison-Wesley, 2015. ISBN 9780321953087. - 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 Transcendental Functions, 6th Ed.*, Cengage, 2015, ISBN-13: 9781285774794. - J. Haas, M. Weir, G. Thomas, University Calculus, Early Transcendentals, 2nd Ed., Pearson Publishing, ISBN-13: 9780321717399

**Math 1030Q.** As of Spring 2013, we are experimenting with different mode of delivery and different text. Until this has solidified, ECE Math 1030Q classes can continue with the text they are used to or switch to the updated edition. Once Storrs has stabilized this course, we will communicate that and work with the ECE community to transition the course accordingly.

- George T. Gilbert & Rhonda L. Hatcher,
*Mathematics Beyond the Numbers*, Kendall Hunt Publishing, 2012. ISBN-13: 978-1-4652-0486-8. - George T. Gilbert & Rohnda L. Hatcher,
*Mathematics Beyond the Numbers,*Kendal Hunt Publishing, 2014, ISBN-13: 9781465250377

**Recently moved off the textbook list.**

- 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 - J. Stewart,
*Single-Variable Calculus: Concepts and Contexts, 3rd Ed.*, Cengage Brooks/Cole, 2005. ISBN: 0-534-41022-7. - W. Briggs & L. Cochran, Single Variable Calculus, Early Transcendentals, 1st Ed., Pearson, 2011, ISBN-10: 031554140
- R. Smith & R. Minton,
*Calulus**: Early Transcendental Functions, 3rd Ed.,*McGraw-Hill, 2007, ISBN, 0072869534 (withMathZone, 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, 5th Ed.*, John Wiley Publishers, 2009, ISBN-13: 9780470089156. - G. Thomas, M. Weir, & J. Hass,
*Thomas’ Calculus, Early Transcendentals, 12th Ed.*, Pearson/Addison-Wesley, 2010. ISBN 0321588762. - R. Larson, B. Edwards,
*Calculus of a Single Variable, Early Transcendental Functions, 5th Ed.*, Cengage/Brooks Cole, 2011, ISBN-13: 978053835520. - For Math 1030Q: George T. Gilbert & Rhonda L. Hatcher,
*Mathematics Beyond the Numbers*, Wiley Custom Publishing, 2000. ISBN 0-471-44962-8.