수학과, 공대 분들 이 커리큘럼 어떤가요??

 

1. Limits and Continuity
   • calculations of limits
   • limit theorems
   • continuity at a point and on an interval
   • essential and removable discontinuities
   • Intermediate Value Theorem
2. The Derivative
   • rates of change and tangent lines
   • differentiation from definition
   • differentiation formulas and rules
   • chain rule
   • implicit differentiation
   • higher derivatives
   • the differential and differential approximations
   • linear approximations
   • applications to related rates
3. Inverse Functions: Exponential, Logarithmic and Inverse Trigonometric Functions
   • definitions, properties, and graphs
   • differentiation of logarithmic and exponential functions (any base)
   • logarithmic differentiation
   • differentiation of inverse trigonometric functions
   • applications to related rates
   • limits involving combinations of exponential, logarithmic, trigonometric, and inverse trigonometric functions
   • L'Hôpital's rule 
4. Graphing and Algebraic Functions
   • increasing and decreasing functions
   • local extrema
   • Rolle's Theorem and Mean Value Theorem
   • curve sketching
   • concavity; inflection points
   • asymptotic behaviour; limits at infinity; infinite limits
   • applied maximum and minimum problems
   • antidifferentiation
   • rectilinear motion
5. Parametric Equations and Polar Coordinates
   • parametric representation of curves in R²
   • derivatives and tangent lines of functions in parametric form
   • tangent lines to graphs in polar form
   • definitions and relationships between polar and Cartesian coordinates
   • graphing of r = f(?)
6. Optional Topics (included at the discretion of the instructor).
   • a formal limit proof (using epsilonics)
   • application of the absolute value and greatest integer functions
   • proofs of the rules of differentiation (differentiation formulas) for algebraic functions
   • proofs of the differentiation formulas for trigonometric functions from the definition of derivative
   • a proof of L'Hôpital's rule for the case of "0/0"
   • Newton’s Method

 

 

 

 

 

제가 다음 학기에 해외대학에서 들으려고하는 수학 과목인데  많이어렵나요???

이름만 들으면 어려워보이는데..