Mathematics (MATH) 10A-B-C
Calculus
Each of the three parts of the course is offered each quarter by various professors. Mathematics 10A-B-C is a general introduction to the subject, with emphasis on word problems, conceptual exercises, and graphical exercises. Applied examples show how mathematicians and physicists describe the world. The sequence is suitable for majors in the liberal arts, economics, and most biology majors except for molecular biology, which requires the 20 series, and ecology, behavior, and evolution, which strongly recommend the 20 series.
MATH 10A
Differentiation and integration of algebraic functions. Fundamental theorems of calculus; applications. Three lectures; two recitations. (Credit not given if Math 20A previously completed.) Prerequisite: appropriate score on UCSD placement exam.
MATH 10B
Further applications of the definite integral. Calculus of trigonometric, logarithmic, and exponential functions; complex numbers. (Credit not given if Math 20B previously taken.) Prerequisite: Math 10A.
MATH 10C
Vector geometry, velocity, and acceleration vectors; partial derivatives, multiple integrals; exact differentials. (Credit not given if Math 20C previously completed.) Prerequisite: Math 10B.
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Mathematics (MATH) 20A-B, 20C
Calculus for Science and Engineering
A more advanced introductory course than Mathematics 10A-B-C, 20A-B-C presumes four years of high school mathematics. Mathematics 20A-B-C is required for certain majors, such as mathematics, management science and decision science, physics, chemistry, engineering, and some of the majors in biology. It fulfills the same Muir College general education requirement as Mathematics 10A-B-C. Each of the three parts of the sequence is offered each quarter by various professors.
MATH 20A. Calculus for Science and Engineering
Foundations of differential and integral calculus of one variable. Functions, graphs, continuity, limits, derivative, tangent line. Applications with algebraic, exponential, logarithmic and trigonometric functions. Introduction to the integral. Prerequisite: Passing score on placement examination or completion of Math 4C with a grade of B or better.
MATH 20B. Calculus for Science and Engineering
Integral calculus of one variable and its applications, with exponential, logarithmic, hyperbolic and trigonometric functions. Methods of integration. Polar coordinates in the plane. Prerequisite: Math 20A or equivalent / Score of 4 or better on AB calculus AP test.
MATH 20C. Calculus for Science and Engineering
Vector geometry, vector functions, and their derivatives. Partial differentiation. Maxima and minima. Double integration. Prerequisite: Math 20B or equivalent / Score of 4 or better on BC calculus AP test.
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Biology (BILD) 10 plus any two courses from 7, 12, 14, 22, 24, 26, 30, 32, 36
The following biology courses are designed for non-biology students and do not satisfy a lower-division requirement for any biology majors.
BILD 10 is required for all other courses in the sequence.
BILD 7: The Beginning of Life
An introduction to the basic principles of plant and animal development, emphasizing the similar strategies by which diverse organisms develop. Practical applications of developmental principles as well as ethical considerations arising from these technologies will be discussed.
BILD 10: Fundamental Concepts of Modern Biology
An introduction to the biochemistry and genetics of cells and organisms; illustrations are drawn from microbiology and human biology. Some chemistry is included in this course. Students may learn whatever chemistry is introduced if they had no chemistry in high school. Choose any two of the following courses:
BILD 12: Neurobiology and Behavior
An introduction to the organization and functions of the nervous system; topics include molecular, cellular, developmental systems and behavioral neurobiology. Prerequisites: Bio 10 or equivalent. Bio 1, 2, 3.
BILD 14: Plant Biology
An introduction to plant biology for non-majors. Topics will include plant growth and development, plants and the environment, agriculture, plant diseases, medicinal plants, and plant biotechnology.
BILD 20: Human Genetics in Modern Society
Fundamentals of human genetics and introduction to modern genetic technology such as gene cloning and DNA finger printing. Applications of these techniques, such as forensic genetics, genetic screening, and genetic engineering. Social impact and ethical implications of these applications.
BILD 22: Human Nutrition
A survey of our understanding of the basic chemistry and biology of human nutrition; discussions of all aspects of food; nutritional value, production, distribution, cultural aspects. Discussion of human health, public health and public policy. Prerequisite: Bio 10.
BILD 24: Biology of Human Reproduction
A survey and analysis of sexual reproduction in various organisms, with special emphasis on humans. Discussions of inheritance, genetic diseases, and public policy issues relating to humans. Prerequisite: Bio 10.
BILD 26: Human Physiology
Introduction to the elements of human physiology and the functioning of the various organ systems. A survey of human evolution, nutrition, disease, and environmental adaptation. Prerequisite: Bio 10.
BILD 30: Biomedicine/Microbes
General principles of microbiology with emphasis on the cell biology of microorganisms and of the cells with which they interact in causing diseases of man and animals. A discussion of infection by bacteria, fungi and viruses, and host responses to infection. Prerequisite: Bio 10.
BILD 32: Biomedicine/Cancer
An introduction to molecular, cellular, and immunological aspects of cancer and a consideration of the sociological and psychological impact of cancer on the individual and general society. Prerequisite: Bio 10.
BILD 36: AIDS Science and Society
An introduction to all aspects of the AIDS epidemic. Topics include the epidemiology, biology and clinical aspects of HIV infections; HIV testing; education and approaches to therapy and the social, political and legal impacts of AIDS on the individual and society.
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Chemistry (CHEM) 6A-B-C
The Chemistry 6 sequence is a three-quarter sequence in general chemistry for students majoring in science or engineering. The sequence provides an in-depth and detailed coverage of both conceptual (qualitative) and calculational (quantitative) aspects of chemistry.
CHEM 6A: General Chemistry
Topics include stoichiometry; gases, liquids, and solids; solutions and colligative properties; equilibrium constants; and ionic equilibria. Prerequisites: proficiency in high school chemistry or physics and in high school math; Math 10A may be taken concurrently.
CHEM 6B: General Chemistry
Topics include thermodynamics; oxidation-reduction and electrochemistry; kinetics; quantum theory and atomic structure. Prerequisites: Chem. 6A; Math 20A or Math 10A.
CHEM 6C: General Chemistry
Topics include more about atoms; chemical bonding and molecular structure; detailed descriptive chemistry of the elements; coordination chemistry; nuclear chemistry; organic chemistry and biochemistry. Prerequisite: Chem. 6B.
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Chemistry (CHEM) 6A, 6B, and Biology (BIO) 1
CHEM 6A: General Chemistry
Topics include stoichiometry; gases, liquids, and solids; solutions and colligative properties; equilibrium constants; and ionic equilibria. Prerequisites: proficiency in high school chemistry or physics and in high school math; Math 4C or equivalent.
CHEM 6B: General Chemistry
Topics include thermodynamics; oxidation-reduction and electrochemistry; kinetics; quantum theory and atomic structure. Prerequisites: Chem. 6A and Math 20A or Math 10A.
BIO 1: Cell Biology
This course is an introduction to the basic unit of life (the cell), life-sustaining processes (photosynthesis and respiration), perpetuation of life, and patterns of inheritance (Mendelian genetics and molecular biology). Prerequisites: two quarters of general chemistry (the second quarter may be taken concurrently). Please note: Biology 1 is a prerequisite for biology majors and therefore quite rigorous.
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Chemistry (CHEM) 11, 12, 13
The Chemistry 11, 12, 13 sequence in general chemistry is designed for non-science majors. Its objective is to provide students not continuing in science a broad overview of the fundamental concepts of chemistry and a working knowledge of the application of these principles to the solution of chemical problems.
CHEM 11: The Periodic Table
May not be taken for credit if any AP credit is claimed for chemistry, or after any general chemistry course.
CHEM 12: Molecules and Reactions
Prerequisites: Chemistry 11 or a good high school chemistry course.
CHEM 13: Chemistry of Life
Prerequisite: Chemistry 12.
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SIO 1, 10, 20, 30 (choose three)
SIO 1: The Planets
Space exploration has revealed an incredible diversity among the planets and moons in our solar system. The planets and their histories will be compared to gain insight and a new perspective on planet Earth.
SIO 10: The Earth
A basic introduction to geology for student with little science background.
SIO 20: The Atmosphere
Descriptive introduction to meteorology and climate studies. Prerequisites: some high school physics and chemistry recommended.
SIO 30: The Oceans
Modern ideas and description of the physical, chemical, biological, and geological aspects of oceanography. Prerequisites: some high school physics and chemistry recommended.
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Physics (PHYS) 1A-B-C
The science of physics involves the observation of natural phenomena and events. From these observations comes the mathematical formulation of general principles which may be tested further or applied to specific problems. Because physics is so basic to other sciences, its study provides a background with broad flexibility for later activities.
For most of the biology and chemistry majors, the 1 series is sufficient; however, if students have special interests in physical aspects of biology or chemistry they are urged to opt for the 2 or 4 series. Computer Science & Engineering, Electricial & Computer Engineering, Mechanical & Aerospace Engineering, Physics, or Structural Engineering majors must select either the 2 or 4 series.
Simple calculus, trigonometry, and vectors are used extensively in lectures, problem sets, and exams. Students with insufficient background in physics are advised to take Physics 11.
PHYS 1A-B-C is a lecture course covering mechanics in A, electricity, magnetism, and thermodynamics in B, and modern physics in C.
PHYS 1A: Mechanics
o First quarter of a three quarter calculus-based lecture introductory physics course geared toward life-science majors. Equilibrium and motion of particles in Newtonian mechanics, examples from astronomy, biology and sports, oscillations and waves, vibrating strings and sound. Prerequisites: Math 10A or 20A and concurrent enrollment in Math 10B or 20B.
PHYS 1B: Electricity, Magnetism, and Thermodynamics
o Second quarter of a three-quarter calculus-based lecture introductory physics course geared toward life-science majors. Electric fields, magnetic fields, DC and AC circuitry, and thermal physics. Prerequisites: Physics 1A and concurrent enrollment in Math 10C or Math 20C.
PHYS 1C: Diffusion, Radiation, and Modern Physics
o Third quarter of a three-quarter calculus-based lecture introductory physics course geared toward life science majors. Behavior of systems under combined thermal and electric forces, the interaction of light with matter as illustrated through optics and quantum mechanics. Examples from biology and instrumentation. Prerequisite: Physics 1B and Math 10C or 20C.
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Physics (PHYS) 2A-B-C
PHYS 2A: Mechanics
Treats vectors, motion in one and two dimensions, Newton's first and second laws, work and energy, conservation of energy, linear momentum, collisions, rotational kinematics, rotational dynamics, gravitation. Prerequisites: Math 20A and concurrent enrollment in Math 20B.
PHYS 2B: Electricity and Magnetism
Deals with charge and matter, the electric field, Gauss's law, electric potential, capacitors and dielectrics, current and resistance, electromotive force and circuit, the magnetic field, Ampere's law, Faraday's law, inductance and magnetic properties of matter, and Maxwell's theory. Prerequisites: Physics 2A, Math 20B, and concurrent enrollment in Math 20C.
PHYS 2C: Fluids, Waves, Thermodynamics, and Optics
Continuation of Physics 2B covering fluid mechanics, waves in elastic media, sound waves, temperature, heat and the first law of thermodynamics, kinetic theory of gases, entropy and the second law of thermodynamics, Maxwell's equations, electromagnetic waves, geometric optics, interference and diffraction. Prerequisites: Physics 2B, Math 20C, and concurrent enrollment in Math 21D.
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Physics (PHYS) 4A-B-C
The Physics 4 sequence is intended for physics majors in general. The five quarters allow for a slower, more careful treatment of essentially the same topics covered in the Physics 2 sequence. This sequence commences winter quarter.
PHYS 4A: Mechanics
Covers vectors, particle kinematics and dynamics, work and energy, conservation of energy, conservation of momentum, collisions, rotational kinematics and dynamics, and equilibrium of rigid bodies. Prerequisites: Math 20A or AH and concurrent enrollment in Math 20B.
PHYS 4B: Mechanics, Fluids, Waves, and Heat
Treats oscillations, gravity, fluid statics and dynamics, waves in elastic media, sound waves, heat and the first law of thermodynamics, kinetic theory of gases, second law of thermodynamics, gaseous mixtures and chemical reactions. Prerequisites: Physics 4A, Math 20B, and concurrent enrollment in Math 20C.
PHYS 4C: Electricity and Magnetism
Concerns charge and Coulomb's law, electric field, Gauss's law, electric potential capacitors and dielectrics, current and resistance, magnetic field, Ampere's law, Faraday's law, inductance, magnetic properties of matter, LRC circuits, Maxwell's equations. Prerequisites: Physics 4B, Math 21C, and concurrent enrollment in Math 20C.
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Physics (PHYS) 5, 6, 7, 8, 9, 10, 11 (choose three)
The following Physics sequence is designed for non-science majors.
PHYS 5: The Universe
Introduction to astronomy. Topics include the earth's place in the universe; the atom and light; the birth of life and death of stars; the Milky Way galaxy; normal and active galaxies; and cosmology. Students may not receive credit for both Physics 5 and Physics 7. Restricted to P/NP grading option if taken after Physics 1A, 2A, or 4A.
PHYS 6: Physics of Space Science and Exploration
Descriptive introduction to basic physics concepts relevant to space science and exploration. Topics include gravity; orbits, weightlessness, and Kepler's laws; the Earth's physical environment (including its atmosphere, its magnetic field, and radiation from the sun); and light as an electromagnetic wave. These topics form the basis for an introduction to the space program and discussion of the scientific reasons for performing experiments or observations in space. Restricted to P/NP grading option if taken after Physics 1A, 2A, or 4A.
PHYS 7: Introduction to Astronomy
Introduction to astronomy and astrophysics. Topics same as Physics 5. This course uses basic pre-calculus level mathematics (algebra, proportions, logs, similar triangles). Students may not receive credit for both Physics 5 and Physics 7.
PHYS 8: Physics of Everyday Life
Examines phenomena and technology encountered in daily life from a physics perspective. Topics include waves, musical instruments, telecommunication, sports, appliances, transportation, computers, and energy sources. Physics concepts will be introduced and discussed as needed employing some algebra. No prior physics knowledge is required. Restricted to P/NP grading option if taken after Physics 1A, 2A, or 4A.
PHYS 9: The Solar System
A non-mathematical exploration of our Solar System and other planetary systems for non-science majors. The Sun, terrestrial and giant planets, satellites, asteroids, comets, and meteors. The formation of planetary systems, space exploration, the development and search for life.
PHYS 10: Concepts in Physics
A general physics course for non-science majors. Topics covered are motion, energy, heat, waves, electric current, radiation, light, atoms and molecules, and nuclear fission and fusion. This course emphasizes concepts with minimal mathematical formulation. Prerequisite: college algebra or equivalent. Restricted to P/NP grading option if taken after Physics 1A, 2A, or 4A.
PHYS 11: Survey of Physics
This course is a survey of physics for non-science majors with strong mathematical background, including calculus. Physics 11 describes the laws of motion, gravity, energy, momentum and relativity. A laboratory component consists of 2 experiments with gravity and conservation principles.
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