Calculus-1

Lecture notes 2012 spring semester

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2.1~3.5 Review

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6.6 Application to Economic and Biology

6.8 Probability

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3.6 Inverse Trigonometric Functions and Their Derivatives

3.7 Derivatives of Logarithmic Functions

3.9 Linear Approximations and Differentials

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7.1 Modeling with Differential Equations

7.2 Direction Fields and Euler's Method

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4.1 Related Rates

4.2 Maximum and Minimum Values

4.3 Derivatives and the Shapes of Curves

4.5 Indeterminate Forms and L'Hospital's Rule

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7.3 Separable Equations

7.4 Exponential Growth and Decay

7.5 The Logistic Equation

7.6 Predator-Prey Systems

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4.6 Optimization Problems

4.7 Newton’ Method

4.8 Antiderivatives

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8.1 Sequences

8.2 Series

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5.1~5.6  Review

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8.3 The Integral and Comparison Tests; Estimating Sums

 

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5.7 Additional Techniques of Integration

5.10 Improper integrals

6.1 More About Areas

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8.4 Other Convergence Tests

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6.2 Volumes

6.3 Volumes by Cylindrical Shells

6.4 Arc Length

6.5 Average Value of a Function

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8.5 Power Series

+Mid-term Exam

+Final Exam