B. Syllabi of Courses B. 1 Syllabi of Required Engineering Courses

Statics, uniform and accelerated motion; Newton's Laws; circular motion; energy, momentum, and conservation principles; dynamics of rotation; gravitation and planetary motion; properties of matter; simple harmonic and wave motion.

1. 
   Recognize the difference between scalar and vectorial quantities. Be able to solve problems with both.
   
2. 
   Solve problems involving the motion of a body in one dimension, under different conditions (uniform velocity, uniform acceleration, varying acceleration).
   
3. 
   Solve problems associated with the motion of a body under the effect of gravity (projectile motion).
   
4. 
   Determine the motion of a body in different frames of reference.
   
5. 
   Graphically analyze a problem by drawing its free body diagrams.
   
6. 
   Solve problems using Newton’s three laws of motion.
   
7. 
   Solve problems using the equivalence between work and energy.
   
8. 
   Distinguish between conservative and non-conservative forces. Be able to associate a potential energy with a conservative force.
   
9. 
   Solve collision problems in one and two dimensions by using conservation of momentum.
   
10. 
    Solve problems involving the rotation of bodies.
    
11. 
    Use conservation of angular momentum to explain the rotational motion of different bodies.
    
12. 
    Describe the motion of a mass attached to a spring and other examples involving simple harmonic motion.
    
13. 
    Determine all the forces acting on a rigid body in equilibrium.
    
14. 
    Solve problems where a body is elastically deformed under the action of external forces.
    
15. 
    Solve problems using Newton’s law of gravitation.
    
16. 
    Determine periods, radii, and orbits of celestial bodies and satellites.
    
17. 
    Use Pascal’s principle, Arquimides’s principle and Bernoulli’s equation to solve problems involving static and moving fluids.
    
18. 
    Determine the speed of a wave in a mechanical medium.
    
19. 
    Determine the interference patterns arising when two or more waves are present on a medium.
    
20. 
    Determine the normal modes of oscillation in a medium of simple geometry.
    
21. 
    Solve problems involving sound waves in air.
    

1. 
   Vectors (1 period)
   
2. 
   Motion in one dimension and free falling bodies (2 periods)
   
3. 
   Motion in two dimensions (2 periods)
   
4. 
   Newton’s laws and applications (2 periods)
   
5. 
   Work, mechanical energy and power (2 periods)
   
6. 
   Potential energy (1 period)
   
7. 
   Momentum, conservation of momentum and collisions (2 periods)
   
8. 
   Rotation of rigid bodies (1 period)
   
9. 
   Dynamics of rotational motion (1 period)
   
10. 
    Angular momentum, conservation of angular momentum and precession (1 period)
    
11. 
    Oscillatory motion and simple harmonic motion (2 periods)
    
12. 
    Equilibrium and elasticity (2 periods)
    
13. 
    Gravitation and orbits (2 periods)
    
14. 
    Fluids: static and dynamics (2 periods)
    
15. 
    Mechanical waves. Speed of waves, interference and normal modes (2 periods)
    
16. 
    Sound (1 period)
    

1. 
   Introduction to motion
   
2. 
   Kinematics
   
3. 
   Projectile motion
   
4. 
   Error analysis
   
5. 
   Newton’s laws
   
6. 
   Mechanical energy
   
7. 
   Collisions in two dimensions
   
8. 
   Rotations
   
9. 
   Simulations using Microsoft Excel®
   
10. 
    Simple harmonic motion
    
11. 
    Equilibrium and statics
    
12. 
    Space mission (web based laboratory)
    
13. 
    Waves
    

Heat, kinetic theory, elementary thermodynamics, heat transfer. Electrostatics, Electrical Currents and devices. Magnetism and electromagnetic radiation. Optics.

1. 
   Learn basic terminology of heat, electricity, and optics
   
2. 
   Learn fundamental physical laws and the skills needed for heat, electricity, and optics
   
3. 
   Solve kinetic theory, elementary thermodynamics, and heat transfer problems
   
4. 
   Solve electrostatics and electrical current problems and devices
   
5. 
   Solve magnetism and electromagnetic radiation problems
   
6. 
   Solve optics problems.
   

1. 
   Electric Charge
   
2. 
   Electric Field and Force
   
3. 
   Properties of Electric Conductors and Insulators
   
4. 
   Gauss’s Law
   
5. 
   Electric Potential and Potential Energy
   
6. 
   Capacitance
   
7. 
   Dielectrics
   
8. 
   Electric Current
   
9. 
   Resistance and Resistivity
   
10. 
    Electromotive Force
    
11. 
    Direct Current Circuits
    
12. 
    RC Circuits
    
13. 
    Magnetic Forces and Fields
    
14. 
    Biot-Savart Law and Ampere’s Law
    
15. 
    Faraday’s Law and Lenz’s Law
    
16. 
    Electromagnetics Induction Phenomena
    
17. 
    Inductance and RL circuits
    
18. 
    Alternating Current Circuits
    
19. 
    Electromagnetic Radiation
    
20. 
    Reflection, Refraction, Dispersion and Polarization of Light
    
21. 
    Geometric Optics
    
22. 
    Temperature and Heat
    
23. 
    Kinetic-Molecular Theory of Gases
    
24. 
    The First Law of Thermodynamics
    
25. 
    The Second Law of Thermodynamics
    

1. 
   Mathematical Exploration and Review (3 weeks)
   
2. 
   Introduction to Electronics (1 week)
   
3. 
   Use of Excel to Simulate Physical (1 week)
   
4. 
   DC Circuits (simulation) (1 week)
   
5. 
   DC Circuits (implementation) (1 week)
   
6. 
   Magnetic Fields (1 week)
   
7. 
   Introduction to Oscilloscope (1 week)
   
8. 
   AC Circuits (2 weeks)
   
9. 
   Optics (1 week)
   
10. 
    Thermodynamics (2 weeks)
    

The application of rhetorical principles to written and oral communication in the engineering professions. Planning, drafting and revising professional engineering reports; planning and delivering oral presentations; organizing information; developing persuasive arguments.

1. 
   Describe the circumstances for a written or oral communication activity in an organizational setting.
   
   1. 
      Identify the audience(s) for a communication activity and describe them, noting, in particular, their informational needs, their levels of technical and organizational knowledge and other factors about them which might affect their participation in and response to the communication activity.
      
   2. 
      Narrate the events which preceded the communication activity and which are likely to follow it, nothing previous necessary or important and which may affect the outcome of the communication activity.
      
2. 
   Prepare and present effective oral and written reports for the audiences and organizational circumstances students have identified. Such reports will be characterized by:
   
   1. 
      Information appropriate for the audience members’ needs and the writer/speaker’s purposes,
      
   2. 
      Organizational patterns that support the content and purposes of the report.
      
   3. 
      Language and visual elements that are appropriate in register and technical detail for the audience and the situation.
      
   4. 
      Layout in written documents and delivery in oral presentations that facilitate audience understanding of the writer/speaker’s purposes and content.
      
3. 
   Provide helpful feedback to classmates on drafts of documents, rehearsals of speeches and final speech performances.
   
4. 
   Describe own processes and strategies for analyzing situations and developing written reports and oral presentations and identify own need for assistance or further development.
   
5. 
   Manage communication projects in an effective and efficient manner.
   
6. 
   Use current technology to prepare written reports and visual aids to support oral presentations.
   
7. 
   Hone general communication skills, including standard English communication conventions.
   

1. 
   Principles of technical writing (2 periods)
   
2. 
   Communication context (2 periods)
   
3. 
   Report purposes, audiences, formats (4 periods)
   
4. 
   Peer response to written documents (4 periods)
   
5. 
   Oral presentations
   
6. 
   Grammar, punctuation, usage, style, sentence structure, tone (4 periods)
   
7. 
   Visual elements in reports (1 period)
   
8. 
   PowerPoint to supplement oral reports (1 period)
   
9. 
   Group project (7 periods)
   
10. 
    Criteria in comparison reports (.5 periods)
    
11. 
    Specific report formats:
    
    1. 
       Problem-Solution (7 periods)
       
    2. 
       Comparison Using Criteria (7 periods)
       
12. 
    Application resume and cover letter (5 periods)
    
    1. 
       Content
       
    2. 
       Design & Layout
       
    3. 
       Digital
       
    4. 
       IUPUI career placement resources
       
    5. 
       Interviewing skills
       
    6. 
       Letter format, style, tone, etc.
       
13. 
    Email etiquette (5 periods)
    

A data-oriented introduction to the fundamental concepts and methods of applied statistics. Intended primarily for majors in the mathematical sciences (Mathematics, Actuarial Sciences, Mathematics Education). The objective is to acquaint the students with the essential ideas and methods of statistical analysis for data in simple settings. It covers material similar to that of STAT 511 but with emphasis on more data-analytic material. Includes a weekly computing laboratory using Minitab.

1. 
   Become familiar with the axioms and rules of probability including the long-run interpretation.
   
2. 
   Become familiar with description and properties of frequently used discrete and continuous random variables and distributions used to model various applied phenomenon.
   
3. 
   Know the notions of population, sample, types of variables and appropriate method of presenting quantitative information in tables and diagrams
   
4. 
   Learn the notion of sampling distribution of a statistic as a thought experiment of obtaining values of the statistic by repeated independent sampling.
   
5. 
   Learn who to estimate basic population characteristics based on random samples, and develop an appreciation for the random error inherent in such estimation by constructing confidence intervals.
   
6. 
   Learn the proper approaches for constructing significant test of (scientific) statistical hypothesis.
   
7. 
   Apply statistical tests of significance in comparing two or more subpopulations, and in relation between two or more variables (continuous or discrete).
   

The following outline is a week by breakdown of topics. There are 2 periods per week (1 period = 75 class minutes), for a 15-week semester.

1. 
   Probability axioms, properties and interpretation. Counting techniques, Conditional Probability and Bayes Formula, independence.
   
2. 
   Random variables; discrete and continuous. Expected values
   
3. 
   Joint Distributions-Independence, Chebyshev’s Inequality and the WLLN. More on random variables, transformations, sums and independence
   
4. 
   Useful random variables and their distributions. The Binomial and Normal distributions.
   
5. 
   Collecting Data and Sampling Design. Describing data: measures of centrality and variability.
   
6. 
   Displaying data: basic graphical methods. Summarizing Bivariate Data, exploring relationship.
   
7. 
   Sampling distributions of statistics. The Central Limit Theorem.
   
8. 
   Review and Examination.
   
9. 
   Introduction to Statistical Inference. Point Estimation. Estimation of the mean of a normal population and proportion in a dichotomous population
   
10. 
    Estimation with Confidence. Tests of Hypotheses.
    
11. 
    Inference about the population mean.
    
12. 
    Comparing two population means, paired and independent.
    

Descriptive statistics, Probability axioms and rules, Counting techniques, Discrete random variables, Continuous random variables, Random samples and sampling distributions, Point estimation, Confidence interval estimation, Tests of hypotheses, Analysis of variance, Simple linear regression and correlation, Goodness-of-fit tests and Two-way contingency tables.

1. 
   Know the notions of population, sample, types of variables and appropriate method of presenting quantitative information in tables and diagrams.
   
2. 
   Learn the axioms and rules of probability both as proportion of items having particular characteristics and as the long-run proportion of times events occur,. Students will be able to apply various counting techniques in order to evaluate probability.
   
3. 
   Become familiar with description and properties of frequently used discrete and continuous random variables to model various applied phenomenon.
   
4. 
   Learn the notion of sampling distribution of a statistic as a thought experiment of obtaining values of the statistic by repeated independent sampling.
   
5. 
   By a logical inversion of ideas from sampling distribution estimate population characteristics based on random samples, and develop an appreciation for the random error inherent in such estimation by constructing confidence intervals.
   
6. 
   Depending on the nature of the variable, learn the proper approach to establishing or refuting proposed scientific hypotheses through statistical tests.
   
7. 
   Recognize the central role of statistical significance in comparing two or more subpopulations, in relation between two or more variables (continuous or discrete).
   

The following outline is a week by breakdown of topics. There are 2 periods per week (1 period = 75 class minutes), for a 15-week semester. Some periods are saved for challenging problem solving through group activities. However, the instructor may use these period to cover additional lecture or discussion topic depending on his/her own interest and the need of the students.

1. 
   Types of variables, descriptive statistics, presenting summary data in tabular and graphical forms. Includes computer demonstration.
   
2. 
   Probability axioms, properties and interpretation. Counting techniques.
   
3. 
   Conditional probabilities, independence. Challenging problem solving through group engagement.
   
4. 
   Discrete random variables, their interpretations and applications.
   
5. 
   Continuous random variables, their interpretations and applications.
   
6. 
   Joint probability distributions. More problem solving through group engagement.
   
7. 
   Random samples, sampling distributions, functions of random variables and their properties.
   
8. 
   Review and Examination.
   
9. 
   Point estimation concepts and illustrations for single samples. Estimation of the mean of a normal population and proportion in a dichotomous population.
   
10. 
    Hypotheses test concepts and illustrations for single samples. Tests about the mean of a normal population and proportion in a dichotomous population.
    
11. 
    Point estimation, confidence intervals and hypotheses tests concerning two samples – paired and independent.
    
12. 
    Comparison of more than two samples classified by one or two factors.
    
13. 
    The simple linear regression model. Estimation of model parameters and prediction. Correlation.
    
14. 
    Goodness-of-fit tests for one-way and two-way layouts of discrete (or discretized) variables.
    
15. 
    Review and examination.
    

An introductory treatment of probability theory including distribution and density function, moments and random variables. Applications of normal and exponential distributions. Estimation of means, variances. Hypothesis testing and linear regression. Introduction to random processes, correlation functions, spectral density functions, and response of linear systems to random inputs.