지금 한국 고2의 수학1 정도 아는 수준인데 CC에서 바로 calculus II 수강하면 혼자 미적분 기초 좀 독학하고 하면 수업 잘 따라갈 수 있을까요?
course description 한번 실어놔볼테니 수학 잘하시는 분은 좀 읽어보시고 좀 할만한지 충고좀 부탁합니다..
calculus II
Continues the study of integration, emphasizing applications and special techniques. Students work with algebraic and transcendental functions
After completing this class, students should be able to:
- to calculate the Riemann sum for a given function, partition and collection of evaluation points
- to describe a definite integral as
- the limit of a Riemann sum
- the area under a curve
- the distance traveled by a moving object
- a total accumulation
- to determine the appropriate units for a definite integral
- to describe the meaning of the antiderivative of a function
- to determine the antiderivatives of
- polynomials
- the trigonometric functions
- the exponential and logarithmic functions
- to determine the values of definite integrals using antiderivatives and areas
- to approximate the numerical values of definite integrals
- to state the Fundamental Theorem of Calculus
- to apply the ideas of definite integrals to solve problems of
- areas
- volumes
- work
- centers of mass
- other assorted applications
- to recognize separable differential equations and to use integration to solve separable initial value problems
- to solve problems of exponential growth and decay and to understand the meanings and limitations of those solutions
- to differentiate the inverse trigonometric functions and to use them with integrals
- to describe the meaning of an improper integral and to evaluate some classes of improper integrals
- to apply the techniques of integration by parts, substitution methods, and tables of antiderivatives to evaluate some classes of integrals
calculus I 은
Introduces the concepts of limits, derivatives, and integrals. Topics include techniques and applications of derivatives of algebraic and Transcendental functions. Students begin working with antiderivatives
After completing this class, students should be able to:
- to calculate limits of functions given by formulas and graphs
- to determine whether a function given by a graph or formula is continuous at a given point or on a given interval
- to give the definition of a derivative and to interpret that definition graphically, as a rate of change, and, if possible, as a formula
- to calculate derivatives of polynomial, rational, common transcendental functions, and combinations of these functions
- to apply the ideas and techniques of derivatives
- in related rate problems
- in parametric equation models
- in finding extreme values of modeling functions given by formulas or graphs
- to predict, construct and interpret the shapes of graphs
- to estimate a slope, a rate of change and the reasonableness of a result
- to attach the appropriate units to an answer