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School of Chemical and Environmental Engineering

Now offering two distinct diplomas: Chemical Engineering and Environmental Engineering

Differential and Integral Calculus II

Course Information:

Course ID:MATH 102
Type of course:Required course
Semester:Spring
Credits:4
ΕCTS:5
Teaching Hours:Th=3, E=1, L=0

Instructor: Associate Professor A. Manoussakis (Faculty Member - EnvEng)

Recommended Reading:

  • Thoma's Calculus   (14th Edition) 

Eclass:

  •  Registration required

Course contents:

  • Vectors in Two and three Dimensional space. Inner, Cross, triple product. Lines and planes in Space. Polar, Cylindrical and Spherical Coordinates. Curves in the space and their Tangents. Integrals and derivatives of Vector Functions. Velocity, Tangential and Normal components of Acceleration.
  • Functions of two and more variables. Partial Derivatives of functions of several variables, div, grad, Curl. The Chain rule. Directional Derivatives and Gradient vectors. Tangent Planes and differentials. Extreme values and Saddle points. Lagrange multipliers. Line Integrals. Path independence, Conservative Fields. Double and Triple integrals. Applications in Physics and Geometry :Moments and Centers of Mass, Volumes of Solids. Green’s theorem in the plane. Surface Integrals. Stoke’s Theorem. The divergence (Gauss’s) Theorem.

Assessment and grading method:

  • Final closed-book written exam, 100% of the grade

 


Last modification: 02-10-2018