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General Science · Year 2 · Core sciences
S3 Mathematical tools, electromagnetism and general chemistry
Acquire differential equations, vector calculus and numerical methods, then apply them to electricity and magnetism; deepen general chemistry.
237hours of coursework
24weeks at 10 h
3steps
10new courses
2universities
Target skills
- Matrix algebra and differential equations
- Vector calculus: gradient, divergence, curl, integral theorems
- Numerical methods and scientific programming in MATLAB
- Electric fields, potential, circuits, magnetism, induction and Maxwell's equations
- Thermochemistry, equilibria, kinetics and bonding models
Semester project
The Mathematics for Engineers capstone: numerical computation of the flow past a cylinder (Kármán vortex street).
Courses this semester
- 1The Hong Kong University of Science and TechnologyBeginnerMATLAB
Stated prerequisites: Single variable calculus and some computer programming ability
Show the 5 courses
Course Level Length Rating (reviews) Matrix Algebra for Engineers Beginner 20 h 4.9 (4,726) Differential Equations for Engineers Beginner 27 h 4.9 (2,251) Vector Calculus for Engineers Beginner 30 h 4.8 (1,425) Numerical Methods for Engineers Intermediate 40 h 4.8 (451) Mathematics for Engineers: The Capstone Course Intermediate 10 h 5.0 (45) - 2Rice UniversityIntermediate
Stated prerequisites: Algebra, geometry, trigonometry; basic calculus helpful
Show the 4 courses
Course Level Length Rating (reviews) Physics 102 - Electric Charges and Fields Intermediate 22 h 4.6 (210) Physics 102 - Electric Potential and DC Circuits Intermediate 22 h 4.8 (35) Physics 102 - Magnetic Fields and Faraday's Law Intermediate 26 h 4.8 (28) Physics 102 - AC Circuits and Maxwell's Equations Intermediate 18 h 4.8 (51) - 3Rice University
Stated prerequisites: None required; high school chemistry recommended
Reading
Notes on Diffy QsJiří LeblThe reference textbook for Differential Equations for Engineers.Free, CC BY-SA 4.0
Calculus, Volume 3OpenStax (Rice University)Multivariable and vector calculus for Vector Calculus for Engineers.Free (web and PDF), CC BY 4.0 licence
University Physics, Volume 2OpenStax (Rice University)Electricity and magnetism, chapters 5 to 16, alongside Rice.Free (web and PDF), CC BY 4.0 licence
The Feynman Lectures on PhysicsR. P. Feynman, R. B. Leighton, M. SandsElectromagnetism as told by Feynman, for physical intuition.Free to read online
Things to watch
- Take Vector Calculus for Engineers before Rice's Physics 102 courses on magnetic fields and Maxwell.
- Install MATLAB or GNU Octave.
- General Chemistry (Rice) is not included in Coursera Plus; financial aid is still available.
With Coursera Plus
This semester takes 237 hours, about 5 months at 10 hours a week. A Coursera Plus subscription gives access to most of its courses during that time.