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MATH 5AI: Inquiry Based Calculus III
4.00 Credits
University of California-Santa Barbara
Honors version of Mathematics 5A. Mathematical inquiry course is developed through problem solving and discovery.
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MATH 5AI - Inquiry Based Calculus III
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MATH 5B: Vector Calculus with Applications, First Course
4.00 Credits
University of California-Santa Barbara
Calculus of functions of several variables, vector-valued functions of one variable, scalar and vector Fields, integration along paths, double and triple integrals, integration over surfaces, properties, and applications of integrals, classical integration theorems of vector calculus.
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MATH 5BI: Inquiry Based Calculus IV
4.00 Credits
University of California-Santa Barbara
Honors version of Mathematics 5B. Mathematical inquiry course is developed through problem solving and discovery.
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MATH 5C: Vector calculus with Applications, Second Course
4.00 Credits
University of California-Santa Barbara
Integral theorems of vector calculus (continuation), infinite series, Fourier series, integrals and transforms, partial differential equations.
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MATH 5C - Vector calculus with Applications, Second Course
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MATH 8: Transition to Higher Mathematics
5.00 Credits
University of California-Santa Barbara
Introduction to the elements of propositional logic, techniques of mathematical proof, and fundamental mathematical structures, including sets, functions, relations, and other topics as time permits. Mastery of this material is essential for students planning to major in mathematics.
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MATH 94: Group Studies in Mathematics
1.00 - 4.00 Credits
University of California-Santa Barbara
Lectures and discussions on special topics.
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MATH 94 - Group Studies in Mathematics
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MATH C S: Special Topics
1.00 - 6.00 Credits
University of California-Santa Barbara
Lectures on a coherent body of mathematical topics which are not usually presented in standard mathematics courses.
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MATRL 100A: Structure and Properties I
3.00 Credits
University of California-Santa Barbara
An introduction to materials in modern technology. The internal structure of materials and its underlying principles: bonding, spatial organization of atoms and molecules, structural defects. Electricial, magnetic and optical properties of materials, and their relationship with structure.
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MATRL 100A - Structure and Properties I
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MATRL 100B: Structures and Properties II
3.00 Credits
University of California-Santa Barbara
Mechanical properties of engineering materials and their relationship to bonding and structure. Elastic, flow, and fracture behavior; time dependent deformation and failure. Stiffening, strengthening, and toughening mechanisms. Piezoelectricity, magnetostriction, and thermo- mechanical interactions in materials.
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MATRL 100C: Fundamentals of Structural Evolution
3.00 Credits
University of California-Santa Barbara
An introduction to the thermodynamic and kinetic principles governing structural evolution in materials. Phase equilibria, diffusion and structural transformations. Metastable structures in materials. Self-assembling systems. Structural control through processing and/ or imposed fields. Environmental effects on structure and properties.
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MATRL 100C - Fundamentals of Structural Evolution
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