Course Calculus II

  • 28 August 2017, 15.46
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Course code/credits and contact hours : TKS1202/3.0+1.0 (Studio work)
Semester : II
Instructor’s or course coordinator’s name : Akhmad Aminullah, ST.,MT., Ph.D.
Bibliography :
  1. Bacon, H.M., 1955, Differential and Integral Calculus, McGraw Hill
  2. Murray Spiegel, 2008, Schaum’s Outlines: Kalkulus Lanjut (Edisi 2), Erlangga
  3. Sever Engel Popescu, 2013, Differential Calculus for Engineers and Begining Mathematicians, LAMBERT Academic Publishing
Spesific course information
Brief description :

This course contains the function of several variables, function derivative limit of several variables, derivative application to define extreme value of 2 variables, double integral and its application in several geometries, elementary differential equation and its completion techniques, Laplace transformation and the definition of elementary differential equation completion with initial condition, several special functions (Unique Function) and its properties, Fourier series.
Prerequisite Courses : Calculus I (Semester I)
Required/ elective : Required
Studio work :

Derivative and the application example of several formulas for analysis and calculation of design value in structural, hydraulic, geotechnical, transportation, and environmental engineering.
Laboratory work : N/A
Specific goals of the course
Specific outcomes : The students are expected to be able to comprehend the definition of function o of several variables, derivative, double integral and its application, elementary differential equation
Student outcomes : An ability to apply knowledge of mathematics, science, and engineering in civil engineering fields
Brief list of topics to be covered  
  1. Infinite series
  2. Conic section
  3. Polar coordinate system
  4. Geometry on a plan and space
  5. Vectors
  6. Derivative and Integral in the n-dimensional space
  7. Fourier series
  8. Application of calculus in civil engineering