강좌 소개

주별 교육내용

기타 참고사항

1. the limit of a function
2. the calculation of the limits
3. the continuity of a function
4. the limits involving infinity


1. basic mathematical concepts
2. basic differentations
3. basic integrations

1. tangent lines
2. derivatives and derivative functions
3. basic differentiation formula

1. product and quotient rules, chain rules
2. implicit differentiation
3. linear approximations
4. differentials

1. exponential and logarithmic functions
2. inverse functions of the above functions

1. inverse trigonometric functions
2. hyperbolic functions and their inverse functions
3. the derivatives of the inverse functions
4. indeterminate forms and L'hospital's rule

1. the extreme values; how to find them (containing absol max., local min., and etc.)
2. mean value theorem; examples; roll's theorem; a generization of Rolle's theorem

1. the derivatives of functions
2. the applications of functions
3. higher derivatives
4. finding the limits

1. curve sketching
2. Newton's method for finding the roots
3. antiderivatives

1. finding the area(distance)
2. definite integrals
3. some propertie of the definite integrals

1. evaluation of the definit integrals
2. fundamental theorems of calculus
3. substitution rule

1. integration by perts
2. trigonometric integrals and substituitions

1. partial fractions
2. approximate integrations
3. improper integrals


1. sketching curves
2. approximation of roots(Newton's method)
3. the definite integrals
4. fundamental theorems of calculus

1. the area between curves
2. the volume of solids
- cross-section(hirzontal, vertical)
- solid obtained by rotating the region under the graph of a function

2. the volume of solids
- solid obtained by rotating the region under the graph of a function
- volumes bu cylinderical shells
3. lengths of curves

1. several integrations
2. approximation of the definite integrals
3. check of the convergence of efinite integrals
4. finding the area of a region, volumes of a solid and the length of a curve