APEA
All courses in APEA are subject to change. Additional courses may be substituted for some of the courses listed here. An addendum giving an update of APEA courses being offered will be mailed to you upon receipt of your application.

Necessary Preparation
High school preparation is necessary for some APEA classes. See if you're ready:

• calculus requires: algebra, trigonometry and geometry. Precalculus or an equivalent course is recommended.
• computer science requires: knowledge of computers, some computer experience in high school, PSAT Math of 65 or higher; or SAT Math of 650.
• physics, chemistry, biology each requires: a high school background in a science course
• students enrolled in 18-100 must have completed a physics or chemistry high school course

Science, Engineering, Computer Science Courses

03-121 Modern Biology (9 units)
(Required in all science programs)
An introductory course with no lab component that provides the basis for further studies in biochemistry, cell biology, genetics and molecular biology. Throughout the course, similarities and differences of the various life forms are emphasized.

Section E: 9:00 - 10:20 a.m. Daily

09-105 Introduction to Modern Chemistry (10 units)
This is a basic first-year college-level chemistry course designed for students interested in engineering, science and other disciplines that require a knowledge of important chemical principles and their applications. The subject matter includes stoichiometry calculations, acid/base and redox systems, atomic structure, chemical bonding and molecular structures of organic and inorganic compounds including some transition metal complexes. Important applications of the topics to environmental, materials and biological chemistry are included together with sophisticated problems. It's an enriching course for students who are contemplating a career in engineering, science or a related field.

Section E: 10:30 - 11:50 a.m. Daily

09-101 Introduction to Experimental Chemistry (3 units)
An optional laboratory course that gives students hands-on experience with important laboratory methods and techniques. Experiments include the synthesis and characterization of organic compounds (aspirin and "oil of wintergreen"); the spectrophotometric determination of the aspirin content of an unknown sample; a kinetics experiment that involves the determination of the rate law of a chemical reaction; an acid-base experiment that includes the identification of an unknown organic acid; a thermochemistry experiment that investigates the products of a transition metal complexation reaction; and a study of the iron content, the iron release properties, and 3D structure of the iron storage protein ferritin. This course is offered at no additional tuition charge to students enrolled in the 09-105 chemistry course. There is $35 lab fee for materials and supplies.

Section E
Lecture: 3:00 - 4:20 p.m. Monday
Lab: 2:45 - 5:45 p.m. Wednesday

15-100 Introductory/Intermediate Programming (10 units)
An introduction to the process of program design and analysis using the Java programming language for students who have had no prior programming experience. Topics to be covered include basic data types and their operators, I/O, control structures (selection, loops), classes (including methods and fields), files, arrays, and simple sorting and searching algorithms. If you've taken a programming course before and have used functions, loops, and arrays, you should enroll in 15-111 instead of 15-100. Limited to 20 students.

Prerequisite: minimum PSAT Math = 65 or SAT Math = 650.
Lecture: Noon - 1:20 p.m. Daily
Lab: 4:30 - 5:50 p.m.

15-111 Intermediate/Advanced Programming (10 units)
An introduction to the process of program design and analysis using the Java programming language for students who have had some prior programming experience in any other language. Topics to be covered include an overview of fundamental programming concepts using Java as well as object-based programming techniques, data aggregates, self-referential data structures (e.g., linked lists, stacks, queues, trees, and graphs), and an introduction to the analysis of algorithms that operate on those data structures.

For the summer program, this is a sequential six-week course. While some programming experience is expected, it is not formally required. Students without any background in programming may have trouble with this course and should consider enrolling in 15-100, or be prepared to spend extra time mastering the material covered.

Prerequisite: minimum PSAT Math = 65 or SAT Math = 650.

Lecture: All sections: Noon - 1:20 p.m. Daily
Recitation:
Section E: 1:30 - 2:50 p.m. Daily
Section F: 3:00 - 4:20 p.m. Daily
Section G: 4:30 - 5:20 p.m. Daily (Reserved for students enrolled in 18-100)
Depending on enrollment, some recitation sections may be canceled.

21-120 Differential and Integral Calculus (10 units)
(Main First Calculus Course at Carnegie Mellon)
Functions, limits, derivatives, logarithmic, exponential, and trigonometric functions, inverse functions; L'Hospital's Rule, curve sketching, Mean Value Theorem, related rates, linear and quadratic approximations, maximum-minimum problems, inverse functions, definite and indefinite integrals, and hyperbolic functions; applications of integration, integration by substitution and by parts. Students should have taken a high school pre-calculus course that included trigonometry, exponential functions, and logarithmic functions.

Section E: 9:00 - 10:20 a.m. Daily
Section F: 10:30 - 11:50 a.m. Daily

Students who have successfully completed a calculus AP AB or equivalent course should consider enrolling in the higher level 21-122 Integration, Differential Equations and Approximation (See below).

21-122 Integration, Differential Equations and Approximation (10 units)
(Equivalent to a second semester or higher college calculus course)
Integration by trigonometric substitution and partial fractions; arclength; improper integrals; Simpson's and Trapezoidal Rules for numerical integration; separable differential equations, first order linear differential equations, homogeneous second order linear differential equations with constant coefficients; series solution, Newton's method, Taylor's Theorem including a discussion of the remainder, sequences, series, power series.

Note: Students will only be able to enroll in the 21-122 course with special permission. It may not be offered in the summer unless there is sufficient enrollment and a qualifying exam may be required. For more information, contact the Precollege Office at Carnegie Mellon.

Section U: 10:30 - 11:50 a.m. Daily

21-127 Concepts of Mathematics (9 units)
This is a rigorous course and should only be taken by students with a very serious interest in abstract or discrete mathematics. The course serves to introduce the basic concepts, ideas and tools involved in mathematics. It includes an introduction to the algebra of sets, relations, functions and partitions, and a basic introduction to the elementary number theory. The techniques of proof introduced include proof by induction, proof by specialization and division into cases, indirect proof, existence and uniqueness proofs and non-constructive methods. Approval of the instructor or the Mathematical Sciences Department may be required before you can enroll in this course. Generally, none of the usual courses in high school will prepare you for the rigors of this course and the material covered is very difficult for high school students to comprehend. Junior or senior standing in high school is required (no exceptions).

Section E: 9:00 - 10:20 a.m. Daily

33-106 Physics for Engineering Students I (12 units)
(Required freshman engineering course)
Basic principles of mechanics and thermodynamics; vectors, displacement, velocity, acceleration, force, equilibrium, mass, Newton's law, gravitation, work, energy, momentum, impulse, temperature, heat, equations of state, thermodynamic process, heat engines, refrigerators, first and second laws of thermodynamics, kinetic theory of gases. Taking Calculus concurrently is strongly advised.

Section E: 1:30 - 2:50 p.m. Daily

18-100 Introduction to Electrical and Computer Engineering (12 units)
The goal of this course is to introduce the basic concepts of electrical and computer engineering through real project work and problem-solving exercises. We will analyze, construct and test an electromechanical system (e.g. a robot) that incorporates concepts from a broad range of areas within electrical and computer engineering. Some of the specific topics that will be covered include system decomposition, real and ideal sources, Kirchoff's and Ohm's Laws, linear and nonlinear circuit elements, ideal op-amp characteristics and circuits, combinations logic, Kamaugh Maps and Flip-Flops. The course will culminate in a final project that will provide an opportunity for creative design.

Section E: 10:30 - 11:50 a.m. Daily
Lab sessions: 1:30 - 4:20 p.m. Tues. & Thurs.

Enrollment limited to 40 students. Prerequisite: Students must have completed a high school chemistry or physics course. Junior or senior standing in high school required.

APEA Fees

That part of the cost which represents tuition is, on a per-unit basis, significantly lower than the normal academic year rate for credit courses.

Humanities and Social Sciences Courses

Special APEA Course Offering in the School of Music

"I enjoyed the interaction with people who were different from myself. I am contemplating computer science or electrical and computer engineering as majors with marketing as a minor. My decision to apply to Carnegie Mellon was only heightened by my enjoyable experience there this summer."

 

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