Pre-College Summer Programs and Courses

An introduction to the basic notions of modern abstract algebra and can serve as as Introduction to Proofs (IP) course. This course is an introduction to group theory, with an emphasis on concrete examples, and especially on geometric symmetry groups. The course will introduce basic notions (groups, subgroups, homomorphisms, quotients) and prove foundational results (Lagrange's theorem, Cauchy's theorem, orbit-counting techniques, the classification of finite abelian groups). Examples to be discussed include permutation groups, dihedral groups, matrix groups, and finite rotation groups, culminating in the classification of the wallpaper groups.

Prerequisite: Grade of C- or better in AS.110.201 (Linear Algebra) or AS.110.212 (Honors Linear Algebra).

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

This online course introduces students to important concepts in data analytics across a wide range of case studies. Students will learn how to gather, analyze, and interpret data to drive strategic and operational success. They will explore how to clean and organize data for analysis, and how to perform calculations using Microsoft Excel. Topics include the data science lifecycle, probability, statistics, hypothesis testing, set theory, graphing, regression, and data ethics.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

What does it mean to “design” an experiment? How do scientists go about planning experimental approaches that test specific hypotheses and provide informative results? These are the types of questions that lie at the heart of independent research. For example, scientists might ask: What analytical methods are best suited to answering a specific question? Which samples should be included in the analysis? What types of variables could influence the outcome of the experiments? This course will address such questions by having students design and carry out experiments to test specific hypotheses. Emphasis is placed on planning the experimental approaches and setting up experiments that include appropriate controls. The specific techniques used in the lab will vary but include standard techniques in molecular biology such as gel electrophoresis, PCR, and gene expression.

What does it mean to “design” an experiment? How do scientists go about planning experimental approaches that test specific hypotheses and provide informative results? These are the types of questions that lie at the heart of independent research. For example, scientists might ask: What analytical methods are best suited to answering a specific question? Which samples should be included in the analysis? What types of variables could influence the outcome of the experiments? This course will address such questions by having students design and carry out experiments to test specific hypotheses. Emphasis is placed on planning the experimental approaches and setting up experiments that include appropriate controls. The specific techniques used in the lab will vary but include standard techniques in molecular biology such as gel electrophoresis, PCR, and gene expression.

What does it mean to “design” an experiment? How do scientists go about planning experimental approaches that test specific hypotheses and provide informative results? These are the types of questions that lie at the heart of independent research. For example, scientists might ask: What analytical methods are best suited to answering a specific question? Which samples should be included in the analysis? What types of variables could influence the outcome of the experiments? This course will address such questions by having students design and carry out experiments to test specific hypotheses. Emphasis is placed on planning the experimental approaches and setting up experiments that include appropriate controls. The specific techniques used in the lab will vary but include standard techniques in molecular biology such as gel electrophoresis, PCR, and gene expression.

This course is designed to develop students' understanding of fundamental concepts of financial mathematics.  The course will cover mathematical theory and applications including the time value of money, annuities and cash flows, bond pricing, loans, amortization, stock and portfolio pricing, immunization of portfolios, swaps and determinants of interest rates, asset matching and convexity.  A basic knowledge of calculus and an introductory knowledge of probability is assumed.

Prerequisite: Calculus I or equivalent.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

In this program you will be introduced to a variety of biochemical and molecular biological laboratory techniques. These will include DNA analysis by restriction enzyme mapping, amplification of DNA segments by PCR, and lipid analysis by chromatography. Additionally, you will visit a variety of biological laboratories to observe actual research projects.

Prerequisite: Background in Chemistry and Biology is strongly recommended.

In this program you will be introduced to a variety of biochemical and molecular biological laboratory techniques. These will include DNA analysis by restriction enzyme mapping, amplification of DNA segments by PCR, and lipid analysis by chromatography. Additionally, you will visit a variety of biological laboratories to observe actual research projects.

Prerequisite: Background in Chemistry and Biology is strongly recommended.

In this program you will be introduced to a variety of biochemical and molecular biological laboratory techniques. These will include DNA analysis by restriction enzyme mapping, amplification of DNA segments by PCR, and lipid analysis by chromatography. Additionally, you will visit a variety of biological laboratories to observe actual research projects.

Prerequisite: Background in Chemistry and Biology is strongly recommended.

An Introduction to Mathematical Cryptography is an introduction to modern cryptography with an emphasis on the mathematics behind the theory of public key cryptosystems and digital signature schemes. The course develops the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Other topics central to mathematical cryptography covered are classical cryptographic constructions, such as Diffie-Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures. Fundamental mathematical tools for cryptography studied include primality testing, factorization algorithms, probability theory, information theory, and collision algorithms. A survey of important recent cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography are included as well. This course is an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

This course is a broad introduction to the fields of medical and mental health interpreting. Modules will include: (1) Three-way communication: managing role expectations and interpersonal dynamics; (2) Basic interpreting skills and techniques in a healthcare setting; (3) Ethical principles, dilemmas, and confidentiality; (4) Elements of medical interpreting; (5) Elements of mental health interpreting; (6) Trauma-informed interpreting: serving the refugee population. The course is taught in English, and has no foreign language pre-requisites.

This online course is primarily delivered asynchronously; however, your instructor has scheduled a regular synchronous session each Monday from 10 a.m. to 12 p.m., and may schedule additional live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

Recent scientific evidence shows that our brain has a great deal of malleability at any age and that our lifestyle choices play an important role in shrinking or growing different parts of our brain. Factors such as poor sleep, obesity, anxiety, and poor diet lead to accumulating shrinkage in the brain while even three months of exercise, brain training, meditation, and optimal sleep can grow the brain. You can learn to apply these new discoveries into your day-to-day life in order to improve your memory, attention, organizational skills, and overall brain vitality. Much of your learning in this course will happen during classes. Each lecture is followed by a 10-minute engaging and fun discussion session to make sure you have grasped the main concepts for that presentation.

This course will provide a fundamental understanding of the mammalian nervous system, with an emphasis on how molecules, cells, circuits, and systems in the brain work to promote behavior and cognition. Topics covered in this course include the function of nerve cells, signaling between brain networks, basic neuroanatomy, and the neural bases of movement, sensation, and memory. This course is designed for any student who has an interest in the range of disciplines we call neuroscience.

This online course is primarily delivered asynchronously; however, your instructor may schedule live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

This course will provide a fundamental understanding of the mammalian nervous system, with an emphasis on how molecules, cells, circuits, and systems in the brain work to promote behavior and cognition. Topics covered in this course include the function of nerve cells, signaling between brain networks, basic neuroanatomy, and the neural bases of movement, sensation, and memory. This course is designed for any student who has an interest in the range of disciplines we call neuroscience.

This course follows the actuarial Exam P syllabus and learning objectives to prepare students to pass the SOA/CAS Probability Exam. Topics include axioms of probability, discrete and continuous random variables, conditional probability, Bayes’ theorem, Chebyshev's Theorem, Central Limit Theorem, univariate and joint distributions and expectations, loss frequency, loss severity and other risk management concepts. Exam P learning objectives and learning outcomes are emphasized.

Prerequisite: Calculus II.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

This course will provide a practical introduction to mathematical proofs with the aim of developing fluency in the language of mathematics, which itself is often described as “the language of the universe.” Along with a library of proof techniques, we shall tour propositional logic, set theory, cardinal arithmetic, and metric topology and explore “proof relevant” mathematics by interacting with a computer proof assistant. This course on the construction of mathematical proof will conclude with a deconstruction of mathematical proof, interrogating the extent to which proof serves as a means to discover universal truths and assessing the mechanisms by which the mathematical community achieves consensus regarding whether a claimed result has been proven.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

Do we all see colors the same way? How did so many "good" people support the Nazi party? Do crossword puzzles really stave off Alzheimer's Disease? This course tries to answer these questions and many others, providing a comprehensive overview of the scientific study of the mind. We'll explore topics such as perception, language, memory, decision-making, creativity, love, sex, art, politics, religion, dreams, drugs, brain damage and mental illness, grappling with deep and long-standing controversies along the way: differences between the sexes, the relationship between mind and brain, causes and consequences of racism, human uniqueness (or not) within the animal kingdom, nature vs. nurture, good and evil, consciousness. Appropriate for anyone wanting to know who and what we are as human beings (or who noticed that psychology is now on the MCAT).

This online course is primarily delivered asynchronously; however, your instructor may schedule live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

Introduces students to basic sociological concepts and perspectives, and applies them to a variety of topics including family, work, and the dynamics of class, gender, and racial/ethnic inequalities in the United States and globally.

Gain a broad understanding of surgery, including historical milestones in the field, surgical anatomy, pre- and post- operative patient care, subspecialties within the field, and surgical technology. Complete daily modules, including lecture content and activities which provide opportunities to apply your understanding of course materials. This program is designed to engage your interest in a diverse set of medical careers ranging from surgery and nursing to biomedical engineering. Additional course supplies are required, estimated cost is no more than $50, plus shipping.

This online program is primarily delivered asynchronously, but students are expected to meet both daily and weekly deadlines for class assignments. Your instructor will also provide optional opportunities for synchronous sessions, such as office hours, group discussions, and supplemental lectures. Attendance for synchronous sessions is voluntary and based on students’ availability.

Prerequisite: Background in Biology is strongly recommended.

Required Text and Supplies: All required readings are available for free on JHU eReserves. Additional readings and video resources will be made available to you throughout the program. You will need to purchase lab supplies with an estimated cost of $20-$50, plus shipping. Details about these materials are outlined on the Summer at Hopkins online orientation that is available in mid-Spring to students whose program deposits have been paid.

Gain a broad understanding of surgery, including historical milestones in the field, surgical anatomy, pre- and post- operative patient care, subspecialties within the field, and surgical technology. Complete daily modules, including lecture content and activities, such as a fetal pig dissection, which provide opportunities to apply your understanding of course materials. This program is designed to engage your interest in a diverse set of medical careers ranging from surgery and nursing to biomedical engineering.

Prerequisite: Background in Biology is strongly recommended.

Gain a broad understanding of surgery, including historical milestones in the field, surgical anatomy, pre- and post- operative patient care, subspecialties within the field, and surgical technology. Complete daily modules, including lecture content and activities which provide opportunities to apply your understanding of course materials. This program is designed to engage your interest in a diverse set of medical careers ranging from surgery and nursing to biomedical engineering. Additional course supplies are required, estimated cost is no more than $50, plus shipping.

This online program is primarily delivered asynchronously, but students are expected to meet both daily and weekly deadlines for class assignments. Your instructor will also provide optional opportunities for synchronous sessions, such as office hours, group discussions, and supplemental lectures. Attendance for synchronous sessions is voluntary and based on students’ availability.

Prerequisite: Background in Biology is strongly recommended.

Required Text and Supplies: All required readings are available for free on JHU eReserves. Additional readings and video resources will be made available to you throughout the program. You will need to purchase lab supplies with an estimated cost of $20-$50, plus shipping. Details about these materials are outlined on the Summer at Hopkins online orientation that is available in mid-Spring to students whose program deposits have been paid.

Gain a broad understanding of surgery, including historical milestones in the field, surgical anatomy, pre- and post- operative patient care, subspecialties within the field, and surgical technology. Complete daily modules, including lecture content and activities, such as a fetal pig dissection, which provide opportunities to apply your understanding of course materials. This program is designed to engage your interest in a diverse set of medical careers ranging from surgery and nursing to biomedical engineering.

Prerequisite: Background in Biology is strongly recommended.

Gain a broad understanding of surgery, including historical milestones in the field, surgical anatomy, pre- and post- operative patient care, subspecialties within the field, and surgical technology. Complete daily modules, including lecture content and activities which provide opportunities to apply your understanding of course materials. This program is designed to engage your interest in a diverse set of medical careers ranging from surgery and nursing to biomedical engineering. Additional course supplies are required, estimated cost is no more than $50, plus shipping.

This online program is primarily delivered asynchronously, but students are expected to meet both daily and weekly deadlines for class assignments. Your instructor will also provide optional opportunities for synchronous sessions, such as office hours, group discussions, and supplemental lectures. Attendance for synchronous sessions is voluntary and based on students’ availability.

Prerequisite: Background in Biology is strongly recommended.

Required Text and Supplies: All required readings are available for free on JHU eReserves. Additional readings and video resources will be made available to you throughout the program. You will need to purchase lab supplies with an estimated cost of $20-$50, plus shipping. Details about these materials are outlined on the Summer at Hopkins online orientation that is available in mid-Spring to students whose program deposits have been paid.

Gain a broad understanding of surgery, including historical milestones in the field, surgical anatomy, pre- and post- operative patient care, subspecialties within the field, and surgical technology. Complete daily modules, including lecture content and activities, such as a fetal pig dissection, which provide opportunities to apply your understanding of course materials. This program is designed to engage your interest in a diverse set of medical careers ranging from surgery and nursing to biomedical engineering.

Prerequisite: Background in Biology is strongly recommended.

Topological spaces, connectedness, compactness, quotient spaces, metric spaces, function spaces. An introduction to algebraic topology: covering spaces, the fundamental group, and other topics as time permits.

Prerequisite: AS.110.202 (Calculus III) or AS.110.211 (Honors Multivariable Calculus).

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.