Summer Term Undergraduate Courses

An introduction to basic concepts, techniques, and major computer software packages in applied statistics and data analysis. Topics include numerical descriptive statistics, observations and variables, sampling distributions, statistical inference, linear regression, multiple regression, design of experiments, nonparametric methods, and sample surveys. Real-life data sets are used in lectures and computer assignments. Intensive use of statistical packages such as R to analyze data.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 10 a.m. and 12:45 p.m.

Prerequisite: EN.553.112 (Stastical Analysis II) OR EN.553.310 (Probability & Stastics for Phyisical Sciences & Engineering) OR EN.553.311 (Intermediate Probability & Stastistics) OR EN.553.420 (Probability) OR EN.553.421 (Honors Introduction to Probability).

Students may receive credit for EN.550.413/EN.553.413 (Applied Stastics & Data Analysis I) or EN.553.613 Applied Stastics & Data Analysis I--graduate degree version), but not both.

Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor's theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 9 a.m. and 11:30 a.m.

Calculus of Several Variables. Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green's Theorem, Stokes' Theorem, and Gauss' Divergence Theorem.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 1 p.m. and 3:30 p.m.

Prerequisite: Grade of C- or better in AS.110.107 (Calculus II For Biological and Social Science) or AS.110.109 (Calculus II For Physical Sciences and Engineering) or AS.110.113 (Honors Single Variable Calculus) or AS.110.201 (Linear Algebra) or AS.110.212 (Honors Linear Algebra) or AS.110.302 (Differential Equations and Applications), or a 5 on the AP BC exam.

Introduction to the mathematics of finite systems. Logic; Boolean algebra; induction and recursion; sets, functions, relations, equivalence, and partially ordered sets; elementary combinatorics; modular arithmetic and the Euclidean algorithm; group theory; permutations and symmetry groups; graph theory. Selected applications. The concept of a proof and development of the ability to recognize and construct proofs are part of the course. 

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 10 a.m. and 12:45 p.m.

Prerequisite: EN.553.171 may not be taken after EN.553.471 (Combinatorial Analysis), EN.553.472 (Graph Theory), EN.553.671 (Combinatorial Analysis), or EN.553.672 (Graph Theory).

Corequisites: EN.553.171 may not be taken concurrently with EN.553.471, EN.553.472, EN.553.671, or EN.553.672.

This course introduces fundamental programming concepts and techniques, and is intended for all who plan to develop computational artifacts or intelligently deploy computational tools in their studies and careers. Topics covered include the design and implementation of algorithms using variables, control structures, arrays, functions, files, testing, debugging, and structured program design. Elements of object-oriented programming. algorithmic efficiency and data visualization are also introduced. Students deploy programming to develop working solutions that address problems in engineering, science and other areas of contemporary interest that vary from section to section. Course homework involves significant programming. Attendance and participation in class sessions are expected.

This course is scheduled to run Monday, Wednesday, and Friday between 9 a.m. and 12 p.m.

Prerequisite: Students may not have earned credit in the following courses: EN.500.113 (Gateway Computing: Python), EN.500.114 (Gateway Computing: Matlab), EN.500.202 (Computation and Programming for Materials Scientists and Engineers), EN.500.132 (Bootcamp: JAVA), EN.500.133 (Bootcamp: Python), or EN.500.134 (Bootcamp: Matlab).

This two-semester sequence in general physics is identical in subject matter to AS.171.101-AS.171.102, covering mechanics, heat, sound, electricity and magnetism, optics, and modern physics, but differs in instructional format. Rather than being presented via lectures and discussion sections, it is instead taught in an "active learning" style with most class time given to small group problem-solving guided by instructors.

This course is scheduled to run Monday through Friday between 9 a.m. and 11:30 a.m.

Recommended Corequisites: AS.173.111 (General Physics Laboratory I) AND either AS.110.106 (Calculus I For Biology and Social Sciences) or AS.110.108 (Calculus I For Physical Sciences and Engineering) or AS.110.113 (Honors Single Variable Calculus).

This two-semester sequence in general physics is identical in subject matter to AS.171.101-AS.171.102, covering mechanics, heat, sound, electricity and magnetism, optics, and modern physics, but differs in instructional format. Rather than being presented via lectures and discussion sections, it is instead taught in an "active learning" style with most class time given to small group problem-solving guided by instructors. 

This course is scheduled to run Monday through Friday between 9 a.m. and 11:30 a.m.

Recommended Course Background: C- or better in AS.171.101 (General Physics: Physical Science Major I) OR AS.171.103 (General Physics/Biology Majors II) or AS.171.105 (Classical Mechanics 1) OR AS.171.107 [General Physics for Physical Science Majors (AL) I] OR or the first semester of EN.530.123 (Introduction to Mechanics I).

Prerequisite: Students must have taken or be concurrently enrolled in AS.110.107 (Calculus II for Biology and Social Sciences) OR AS.110.109 (Calculus II for Physical Sciences and Engineering) OR AS.110.211 (Honors Multivariable Calculus) OR AS 110.113 (Honors Single Variable Calculus).

Experiments performed in the lab provide further illustration of the principles discussed in General Physics. While this lab course lab is not required as a co-requisite of the corresponding General Physics lecture course it is strongly recommended. Note: First and second terms must be taken in sequence.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 1 p.m. and 4 p.m.

Prerequisite: Students must have taken or be concurrently enrolled in either AS.171.101 (General Physics: Physical Science Majors I) OR AS.171.103 (General Physics I for Biology Majors) OR AS.171.105 (Classical Mechanics I) OR AS.171.107 [General Physics for Physical Science Majors (AL) I]. Students must have completed Lab Safety training prior to registering for this class. To access the tutorial, login to myLearning and enter 458083 in the Search box to locate the appropriate module

Experiments performed in the lab provide further illustration of the principles discussed in General Physics. While this lab course lab is not required as a co-requisite of the corresponding General Physics lecture course it is strongly recommended. Note: First and second terms must be taken in sequence.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 1 p.m. and 4 p.m.

Prerequisites: Students must have completed or be concurrently enrolled in either AS.171.102 (General Physics: Physical Science Majors II) OR AS.171.104 (General Physics: Biology Majors II) OR AS.171.106 Electricity & Magnetism I) OR AS.171.108 [General Physics for Physical Science Majors (AL) II] OR EN.530.123 (Classical Mechanics I). Students must have completed Lab Safety training prior to registering for this class. To access the tutorial, login to myLearning and enter 458083 in the Search box to locate the appropriate module.

An introduction to probability and statistics at the calculus level, intended for students in the biological sciences planning to take only one course on the topics. This course will be at the same technical level as EN.553.310. Students are encouraged to consider EN.553.420-430 instead. Combinatorial probability, independence, conditional probability, random variables, expectation and moments, limit theory, estimation, confidence intervals, hypothesis testing, tests of means and variances, and goodness-of-fit will be covered. Students cannot receive credit for both EN.553.310 and EN.553.311. Students cannot receive credit for EN.553.311 after having received credit for EN.553.420 or En.553.430. Recommended Course Corequisite: AS.110.202.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 10 a.m. and 12:45 p.m.

Prerequisite: AS.110.109 (Calculus II For Physical Sciences and Engineering) or AS.110.113 (Honors Single Variable Calculus).

Statistics Sequence restriction: Students who have completed any of these courses may not register: EN.553.310 (Probability & Statistics for the Physical Sciences and Engineering) or EN.553.420 (Introduction to Probability) or EN.553.421 (Honors Introduction to Probability) or EN.553.430 (Introduction to Statistics) or EN.560.348 (Probability & Statistics in Civil Engineering).

The fundamental principles of chemistry, including atomic and molecular structure, bonding, elementary thermodynamics, equilibrium and acids and bases, are introduced in this course. Can be taken with Introductory Chemistry Laboratory – I unless lab has been previously completed. Note: Students taking this course and Laboratory 030.105 may not take any other courses in the summer sessions at the same time and should devote their full time to these subjects. High school physics and calculus are strongly recommended as prerequisites. First and second terms must be taken in sequence. Students not enrolled in college (unless they are rising freshmen) may not take this course.

This course is scheduled to run Monday, Tuesday, Thursday, and Friday between 9:30 a.m. and 12 p.m.

Continuation of AS.030.101 emphasizing chemical kinetics, chemical bonding. Topics: energy levels and wave functions for particle-in-a-box and hydrogen atom and approximate wave functions for molecules including introduction to hybrid orbitals. Note: Students taking this course and Laboratory 030.105-106 may not take any other course in the summer sessions at the same time and should devote their full time to these subjects. High school physics and calculus are strongly recommended as prerequisites. First and second terms must be taken in sequence.

This course is scheduled to run Monday, Tuesday, Thursday, and Friday between 9 a.m. and 11:30 a.m.

Prerequisite: AS.030.101 (Introductory Chemistry I). Students enrolled in AS.030.103 (Applied Chemical Equilibrium and Reactivity with Lab) may not enroll in or receive credit for AS.030.102.

Laboratory work includes quantitative analysis and the measurement of physical properties. Open only to those who are registered for or have successfully completed Introductory Chemistry 030.101.

This course is scheduled to run Monday, Tuesday, and Thursday between 1 p.m. and 4 p.m.

Prerequisites: Students must have completed or be enrolled in AS.030.101 (Introductory Chemistry I) or EN.510.101 (Introduction to Materials Chemistry) in order to register for AS.030.105. Students must have completed Lab Safety training prior to registering for this class. To access the tutorial, login to myLearning and enter 458083 in the Search box to locate the appropriate module.

Laboratory work includes some quantitative analysis and the measurement of physical properties. Open only to those who are registered for or have completed Introductory Chemistry II (AS.030.102). Permission required for pre-college students.

This course is scheduled to run Monday, Tuesday, and Thursday between 1 p.m. and 4 p.m.

Prerequisites: AS.030.105 (Introductory Chemistry Laboratory I) and AS.030.101 (Introductory Chemistry I) OR EN.510.101 (Introduction to Materials Chemistry). Students enrolled in AS.030.103 (Applied Chemical Equilibrium and Reactivity w/Lab) may not enroll in or receive credit for AS.030.106. Students must have completed Lab Safety training prior to registering for this class. To access the tutorial, login to myLearning and enter 458083 in the Search box to locate the appropriate module.

This course provides an introduction to the fundamental chemistry of carbon compounds. Topics include interrelationships of structure, physical properties, synthesis, and reactions and their mechanisms as well as a brief overview of bio-organic chemistry. Note: Students taking this course and the laboratory 030.105-106 may not take any other course in the summer sessions and should devote full time to these subjects. First and second terms must be taken in sequence. Prerequisite: Introductory Chemistry or the equivalent.

This course is scheduled to run Monday through Friday between 9 a.m. and 11:30 a.m.

Prerequisite: AS.030.102 (Introductory Chemistry II) or AS.030.103 (Applied Equilibrium and Reactivity w/Lab) or EN.510.101 (Introduction to Materials Chemistry) or AS.030.204 (Chemical Structure and Bonding w/Lab).

Laboratory work includes fundamental laboratory techniques and preparation of representative organic compounds. Open only to those who are registered for or have completed Introductory Organic Chemistry. Note: This one-semester course is offered each term. Introductory Organic Chemistry I/II requires one semester of the laboratory.

This course is scheduled to run Monday through Friday between 12 p.m. and 4 p.m.

Prerequisites: AS.030.205 (Introductory Organic Chemistry I), which can be taken concurrently with AS.305.225( Introductory Organic Chemistry Laboratory); AND AS.030.102 (Introductory Chemistry II) AND AS.030.106 (Introductory Chemistry Laboratory II) OR AS.030.103 (Applied Equilibrium and Relativity w/Lab). Students must have completed Lab Safety training prior to registering for this class. To access the tutorial, login to myLearning and enter 458083 in the Search box to locate the appropriate module.

Laboratory work includes fundamental laboratory techniques and preparation of representative organic compounds. Open only to those who are registered for or have completed Introductory Organic Chemistry. Note: This one-semester course is offered each term. Introductory Organic Chemistry I/II requires one semester of the laboratory.

This course is scheduled to run Monday through Friday between 12 p.m. and 4 p.m.

Prerequisites: AS.030.205 (Introductory Organic Chemistry I), which can be taken concurrently with AS.305.225( Introductory Organic Chemistry Laboratory); AND AS.030.102 (Introductory Chemistry II) AND AS.030.106 (Introductory Chemistry Laboratory II) OR AS.030.103 (Applied Equilibrium and Relativity w/Lab). Students must have completed Lab Safety training prior to registering for this class. To access the tutorial, login to myLearning and enter 458083 in the Search box to locate the appropriate module.

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 9 a.m. and 11:30 a.m.

Prerequisite: Grade of C- or better in AS.110.107 (Calculus II For Biological and Social Science) or AS.110.109 (Calculus II For Physical Sciences and Engineering) or AS.110.113 (Honors Single Variable Calculus) or AS.110.202 (Calculus II) or AS.110.302 (Differential Equations and Applications), or a 5 on the AP BC exam.

Mathematics for Sustainability covers topics in measurement, probability, statistics, dynamics, and data analysis. In this course, students will analyze, visually represent, and interpret large, real data sets from a variety of government, corporate, and non-profit sources. Through local and global case studies, students will engage in the mathematics behind environmental sustainability issues and the debates centered on them. Topics include climate change, natural resource use, waste production, air and water pollution, water scarcity, and decreasing biodiversity. The software package R is used throughout the course.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 9 a.m. and 11:30 a.m.

Prerequisites: Comfort with algebraic expressions and functions. No prior experience in coding is required.

Continuation of AS.030.205 Organic Chemistry I with special emphasis on organic synthesis and related synthetic methods. Students may not simultaneously enroll for AS.030.212 and AS.030.206.

This course is scheduled to run Monday through Friday between 9 a.m. and 11:30 a.m.

Prerequisite: AS.030.205 (Introductory Organic Chemistry I).

This course provides students with the background necessary for the study of calculus. It begins with a review of the coordinate plane, linear equations, and inequalities, and moves purposefully into the study of functions. Students will explore the nature of graphs and deepen their understanding of polynomial, rational, trigonometric, exponential, and logarithmic functions, and will be introduced to complex numbers, parametric equations, and the difference quotient.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 1 p.m. and 3:30 p.m.

Probability and its applications, at the calculus level. Emphasis on techniques of application and on rigorous mathematical demonstration. Probability, combinatorial probability, random variables, distribution functions, important probability distributions, independence, conditional probability, moments, covariance and correlation, limit theorems. Students initiating graduate work in probability or statistics should enroll in EN.553.620 or EN.553.720. Prerequisites: one year of calculus. Corequisites: multivariable calculus and linear algebra.

Students who have received credit for AS.110.106 and/or AS.110.107 taken prior to Fall 2020 should contact the course instructor to determine whether they can receive permission to register for this course.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 10 a.m. and 12:45 p.m.

Prerequisites: AS.110.107 (Calculus II For Biological and Social Science) or AS.110.109 (Calculus II For Physical Sciences & Engineering) or AS.110.113 (Honors Single Variable Calculus). AS.110.201 (Linear Algebra) or AS.110.202 (Calculus III) or AS.110.211 (Honors Multivariable Calculus) OR AS.110.212 (Honors Linear Algebra) must also be taken prior to EN.553.310 or concurrently.

This is an introduction to statistics aimed at students in the life sciences. The course will provide the necessary background in probability with treatment of independence, Bayes theorem, discrete and continuous random variables and their distributions. The statistical topics covered will include sampling and sampling distributions, confidence intervals and hypothesis testing for means, comparison of populations, analysis of variance, linear regression and correlation. Analysis of data will be done using Excel.

This course is scheduled to run Monday, Tuesday, Wednesday, and Thursday, between 10 a.m. and 12:45 p.m.

Prerequisite: AS.110.106 (Calculus I For Biology and Social Sciences) or AS.110.108 (Calculus I For Physical Sciences and Engineering) or AS.110.113 (Single Multivariable Calculus).

Statistics Sequence restriction: Students who have completed any of these courses may not register: EN.550.230 (Introduction to Biostatistics) OR AS.280.345 (Public Health Biostatistics) OR AS.200.314 (Advanced Statistical Methods) OR EN.550.310 (Probability & Statistics) OR EN.550.311 (Probability and Statistics for the Biological Sciences and Engineering) OR EN.550.420 (Introduction to Probability) OR EN.550.430 (Introduction to Statistics) OR EN.560.348 (Probability & Statistics in Civil Engineering).

This course looks at the evolution of the universe from its origin in a cosmic explosion to emergence of life on Earth and possibly other planets throughout the universe. Topics include big-bang cosmology; origin and evolution of galaxies, stars, planets, life, and intelligence; black holes; quasars; and relativity theory. The material is largely descriptive, based on insights from physics, astronomy, geology, chemistry, biology, and anthropology.

This course is scheduled to run Monday, Wednesday, and Friday between 9 a.m. and 12 p.m.