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