Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright
Calculus-1 Lecture notes 2011 spring semester |
2.2 The limit of a Function 2.3 Calculating Limits Using the Limit Law 2.4 Continuity |
6.1 More About Areas 6.2 Volumes |
2.5 Limit Involving Infinity 2.6 Derivatives and Rates of change 2.7 The Derivatives as a Function 2.8 what does f' say about f? |
6.3 Volumes by Cylindrical Shells 6.4 Arc Length |
3.1 Derivatives of Polynomials and Exponential Function 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Function |
6.5 Average Values of a Function |
3.3 Derivatives of Trigonometric Function |
7.1 Modeling with Differential Equations 7.2 Direction Fields and Euler's Method 7.3 Separable Equations |
3.4 The Chain Rule 3.5 Implicit Differentiation 3.6 Inverse Trigonometric functions and Their derivatives |
7.4 Exponential Growth and Decay |
3.5 Implicit Differentiation 3.6 Inverse Trigonometric functions and Their derivatives 3.7 Derivatives of Logarithmic Function 3.8 Rates of Change in the Natural and Social Sciences 3.9 Linear Approximations and Differentials |
7.5 The Logic Equations |
4.1 Related Rates 4.2 Maximum and Minimum Values |
7.5 The Logic Equations 7.6 Predator-Prey Systems |
4.3 Derivatives and the Shapes of curves 4.5 Indeterminate Forms and l'Hospital's Rule |
8.1 Sequences 8.2 Series |
4.6 Optimization Problems |
8.3 The Integral and Comprison Tests; Estimation Sums |
5.1 Areas and Distances 5.2 The Definite Integrals |
8.4 Other Convergence Tests |
5.3 Evaluating Definite integrals 5.4 The Fundamental Theorem of Calculus |
8.4 Other Convergence Tests 8.5 Power Series |
5.4 The Fundamental Theorem of Calculus 5.5 The substitution Rule |
8.6 Representations of Functions as Power Series |
5.6 Integration by Part 5.7 Additional Techniques of Integration 5.10 Improper integrals |
8.7 Taylor and Maclaurin Series |
+Mid-term Exam | +Final Exam |