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APSC 171  Calculus I  Units: 3.30  
Graphs and derivatives of vector-valued functions; related applications. Implicit derivatives and related rate applications. Fundamental Theorem of Calculus, Riemann integral; applications to problems involving areas, volumes, mass, charge, work, etc. Integration by substitution, by parts, and partial fractions. Introduction to second-order differential equations and complex numbers.
K3.3(Lec: Yes, Lab: No, Tut: Yes)
Offering Term: F  
CEAB Units:    
Mathematics 40  
Natural Sciences 0  
Complementary Studies 0  
Engineering Science 0  
Engineering Design 0  
Offering Faculty: Smith Engineering  

Course Learning Outcomes:

  1. Constructs mathematical descriptions or expressions to model a real-world problem.
  2. Uses an appropriate derivative-related tool to solve a mathematical problem that arises from modeling a real-world problem.
  3. Uses an appropriate integral-related tool to solve a mathematical problem that arises from modeling a real-world problem.
  4. Uses an appropriate differential equation solution technique or numerical method to solve a mathematical problem that arises from modeling a real-world problem.
  5. Selects and describes appropriate numerical methods to solve mathematical problems that arise from modeling a real-world problem.
  6. Uses solution to mathematical problems to inform the real-world problem that gave rise to it.