**Embry Riddle Aeronautical University
Shiv Kumar Aggarwal and Nirmal Devi
Project Summary**

**Target Audience:** Aeronautical Science
(Major) Students (Parallel)

(Population of about 1600 students)

**Goal:** Enhance retention. (At this time the
rate of unsuccessful students in each of the targeted two Physics and two Mathematics
courses is more than one third)

**Short Description of Courses:**

The first course in Mathematics consists of algebra of polynomials, logarithmic and exponential functions, ratio and proportion, two chapters on Trigonometry, and one chapter on vector algebra. This course is taken by the students in the first semester.

The second course in Mathematics consists of Elementary Calculus. The topics included are differentiation and integration of polynomial and trigonometric functions, curve sketching and simple applications of calculus. Students take this course in the second semester.

The first course in Physics is algebra based and consists of mechanics including translation and rotation. This course is taken by students in second semester.

The second course in Physics is also algebra based and is taken in the third semester. This course consists of fluids, simple harmonic motion, heat and thermodynamics, and electricity including circuit analysis.

Each of the above four courses are 3 semester credit hours. In addition, each of the two physics courses carries a one hour per week laboratory.

We plan to run the second course (calculus) in mathematics and the first course (mechanics) in physics in parallel. Both the mathematics instructor and the physics instructor would meet regularly every week to exchange notes and will attend each other’s class. The existing syllabii of both the courses have been rearranged to ensure that the mathematics prerequisites are covered in the mathematics class before they are needed in the physics class. Duplicity of coverage will be avoided and the time gained will be used to introduce technology, and more activity driven applications in the class. The laboratory experiences gained in this workshop will be incorporated in the laboratory portion of the course.

**Modified Course Syllabi:** **Mathematics:**

TOPIC | # HOURS |
---|---|

1.Limit and Derivative (definition) | 1 |

2.Computing of Derivatives | 4 |

3.Antiderivatives and Indefinite Integrals | 1 |

4.Velocity and acceleration | 2 |

5.Applications of Indefinite integral | 2 |

6.Maxima and Minima | 3 |

7.Limits (detail) | 2 |

8.Derivative problems by definition | 2 |

9.Implicit Differentiation | 2 |

10.Related rates | 1 |

11.Curve Sketching | 1 |

12.Definite integral | 5 |

13.Approximation to definite integral | 3 |

14.Review | 3 |

15.Examinations | 3 |

Total |
35 |

**Physics:**

1.Units and Significant digits | 1 |

2.Review of Vector Algebra | 2 |

3.Linear Motion (kinematics in 1-d) | 2 |

4.Newton’s Laws of motion | 4 |

5Translational equilibrium | 1 |

6.Projectile motion (kinematics in 2-d) | 3 |

7.Gravitation | 2 |

8.Impulse and momentum | 3 |

9.Work and Energy | 3 |

10.Rotational Motion (Constant angular acceleration) |
1 |

11.Uniform motion in a circle | 2 |

12.Rotational dynamics | 2 |

13.Equilibrium | 1 |

14.Conservation of angular momentum | 2 |

15.Review | 3 |

16.Examinations | 3 |

Total |
35 |

Next syllabus

Syllabi Index

Introduction

7/30/99