printer friendly pageMATH 51H: Honors Multivariable Mathematics
For prospective Mathematics majors in the honors program and students from other areas of science or engineering who have a strong mathematics background. Three quarter sequence covers the material of 51, 52, 53, and additional advanced calculus and ordinary and partial differential equations. Unified treatment of multivariable calculus, linear algebra, and differential equations with a different order of topics and emphasis from standard courses. Students should know one-variable calculus and have an interest in a theoretical approach to the subject. Prerequisite: score of 5 on BC Advanced Placement exam, or consent of instructor.
Terms: Aut
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Units: 5
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter (ABCD/NP)
Instructors:
Simon, L. (PI)
;
Boreico, I. (TA)
MATH 51M: Introduction to MATLAB for Multivariable Mathematics
Corequisite:
MATH 51.
Terms: Aut
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Units: 1
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Grading: Letter or Credit/No Credit
Instructors:
Diao, P. (PI)
MATH 52: Integral Calculus of Several Variables
Iterated integrals, line and surface integrals, vector analysis with applications to vector potentials and conservative vector fields, physical interpretations. Divergence theorem and the theorems of Green, Gauss, and Stokes. Prerequisite: 51 and 42 or equivalents.
Terms: Aut, Win, Spr
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Units: 5
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter or Credit/No Credit
Instructors:
Brumfiel, G. (PI)
;
Mirzakhani, M. (PI)
;
Wieczorek, W. (PI)
;
Ha, J. (TA)
...
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Instructors:
Brumfiel, G. (PI)
;
Mirzakhani, M. (PI)
;
Wieczorek, W. (PI)
;
Ha, J. (TA)
;
Zamorzaev, A. (TA)
MATH 52H: Honors Multivariable Mathematics
Continuation of 51H. Prerequisite: 51H.
Terms: Win
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Units: 5
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter (ABCD/NP)
Instructors:
Eliashberg, Y. (PI)
;
Carlotto, A. (TA)
MATH 53: Ordinary Differential Equations with Linear Algebra
Ordinary differential equations and initial value problems, systems of linear differential equations with constant coefficients, applications of second-order equations to oscillations, matrix exponentials, Laplace transforms, stability of non-linear systems and phase plane analysis, numerical methods. Prerequisite: 51 and 42 or equivalents.
Terms: Aut, Win, Spr, Sum
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Units: 5
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UG Reqs: GER:DB-Math, WAY-FR
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Grading: Letter or Credit/No Credit
MATH 53H: Honors Multivariable Mathematics
Continuation of 52H. Prerequisite: 52H.
Terms: Spr
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Units: 5
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UG Reqs: GER:DB-Math, WAY-FR
|
Grading: Letter (ABCD/NP)
Instructors:
Brendle, S. (PI)
;
Furmaniak, R. (TA)
MATH 70SI: The Game of Go: Strategy, Theory, and History
Strategy and mathematical theories of the game of Go, with guest appearance by a professional Go player.
Terms: Aut
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Units: 1
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Grading: Satisfactory/No Credit
Instructors:
Bump, D. (PI)
MATH 78SI: Speedcubing: HIstory, Theory, and Practice
History of the Rubik's cube; the current cubing community; basic mathematical theory; concepts to improve speed solving skill. Prior ability to solve cube not required.
Terms: not given this year
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Units: 1
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Grading: Satisfactory/No Credit
MATH 80Q: Capillary Surfaces: Explored and Unexplored Territory
Preference to sophomores. Capillary surfaces: the interfaces between fluids that are adjacent to each other and do not mix. Recently discovered phenomena, predicted mathematically and subsequently confirmed by experiments, some done in space shuttles. Interested students may participate in ongoing investigations with affinity between mathematics and physics.
Terms: Spr
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Units: 3
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UG Reqs: WAY-FR, WAY-SMA
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Grading: Letter (ABCD/NP)
Instructors:
Finn, R. (PI)
MATH 87Q: Mathematics of Knots, Braids, Links, and Tangles
Preference to sophomores. Types of knots and how knots can be distinguished from one another by means of numerical or polynomial invariants. The geometry and algebra of braids, including their relationships to knots. Topology of surfaces. Brief summary of applications to biology, chemistry, and physics.
Terms: Win
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Units: 3
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UG Reqs: WAY-FR
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Grading: Letter (ABCD/NP)
Instructors:
Wieczorek, W. (PI)
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