Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright 

http://bkmath.skku.ac.kr/  .

 

Calculus-1

Lecture notes 2013 Spring semester

 

Sakthivel_1week (VOD1  VOD2)

    Orientation & Pretest

    Quick review 2.1~2.4

_9week (VOD1 VOD2)

    6.1 More about Areas

    6.2 Volumes

    6.3 Volumes by Cylindrical Shells

     

Miclos Palpia_2week(VOD1  VOD2)

    Quick review 2.5~2.8, 3.1~3.3

_10week (VOD1 VOD2)

    6.4 Arc Length

    6.5 Average Value of a Function

     

Miclos Palpia_3week (VOD1  VOD2)

    3.4 The Chain Rule

    3.5 Implicit Differentiation

    3.6 Inverse Trigonometric Functions and

         Their Derivatives

    3.7 Derivatives of Logarithmic Function

_11week (VOD1 VOD2)

    6.6 Applications to physics and Engineering

    6.8 Probability

    7.1 Modeling with Differential Equations

    7.2 Direction Fields and Euler's Method

     

Sakthivel_4week (VOD1  VOD2)

    3.9 linear Approximations and Differentials

    4.1 Related Rates

    4.2 Maximum and Minimum Values

    4.3 Derivatieves and the Shapes of Curves

     

_12week (VOD1 VOD2)

    7.3 Separable Equations

    7.4 Exponential Growth and Decay

    7.5 The logistic Equation

    7.6 Predator-Prey System

     

Miclos Palpia_5week (VOD1  VOD2)

    4.5 Indeterminate Forms and L'Hospotal's Rule

    4.6 Optimization Problem

    4.7 Newton's Method

    4.8 Antiderivatives

     

_13week (VOD1 VOD2)

    8.1 Sequences

    8.2 Series

    8.3 The Integral and Comparison Tests; Estimation Sums

Kinkar Chanbra das _6week (VOD1  VOD2)

    5.1 Areas and Distances

    5.2 The Definite Integral

    5.3 Evaluation Definite integrals

    5.4 The Fundamental Theorem of Calculus

     

_14week (VOD1 VOD2)

    8.4 Other Convergence Tests

    8.5 Power Series

    8.6 Representations of Functions as Power Series

     

Miclos Palpia_7week (VOD1  VOD2)

    5.5 The Substitution Rule

    5.6 integration by Parts

    5.7 Additional Techniques of integration

    5.10 Improper Integrals

    Appendix H.1 Curves in polar coordinates

_15week (VOD1 VOD2)

    8.7 Taylor and Maclaurin Series

    Review

+Mid-term Exam

+Final Exam