Courses:

Course Info

• Course Number / Code:
• 18.022 (Fall 2005) 
• Course Title:
• Calculus 
• Course Level:
• Undergraduate 
• Offered by :
• Massachusetts Institute of Technology (MIT)
  Massachusetts, United States  
• Department:
• Mathematics 
• Course Instructor(s):
• Prof. Hartley Rogers
   
• Course Introduction:
•  
• 
  
  18.022 Calculus
  
  
  
  

  Fall 2005

  
  
  

  
  
  

  Course Highlights

  
  
  

  
  
  18.022 Calculus
  
  
  
  

  Fall 2005

  
  
  

  

  Vector addition. (Image by MIT OCW.)

  
  
  

  Course Description

  
  
  

  This is an undergraduate course on calculus of several variables. It covers all of the topics covered in Calculus II (18.02), but presents them in greater depth. These topics are vector algebra in 3-space, determinants, matrices, vector-valued functions of one variable, space motion, scalar functions of several variables, partial differentiation, gradient, optimization techniques, double integrals, line integrals in the plane, exact differentials, conservative fields, Green's theorem, triple integrals, line and surface integrals in space, the divergence theorem, and Stokes' theorem. Additional topics covered in 18.022 are geometry, vector fields, and linear algebra.