Course Topics

Textbook

Calculus and Its Applications (11th edition) by L.J. Goldstein, D.C. Lay, D.I. Schneider and N. Asmar

Study Guide with Selected Solutions, by Lay and Schneider, Prentice-Hall, 2004 (optional)

Grading Policy

There will be three midterm exams, at least five quizzes, and one Final Exam. The final grade will be based on 750 points: midterm exams (450), quizzes (100), and final exam (200). The tentative cutoff scores are 685 (A), 620 (B), 555 (C), and 490 (D).

Sections Covered

1.1 The Slope of a Straight Line
1.2 The Slope of a Curve at a Point
1.3 The Derivative
1.6 Some Rules for Differentiation
1.7 More About Derivatives
1.8 The Derivative as a Rate of Change
2.1 Describing Graphs of Functions
2.2 The First and Second Derivative Rules
2.3 Curve Sketching (Introduction)
2.4 Curve Sketching (Conclusion)
2.5 Optimization Problems
2.6 Further Optimization Problems
3.1 The Product and Quotient Rules
3.2 The Chain Rule and the General Power Rule
3.3 Implicit Differentiation and Related Rates
4.1 Exponential Functions
4.2 The Exponential Function e^x
4.3 Differentiation of Exponential Functions
4.4 The Natural Logarithm Function
4.5 The Derivative of ln x
4.6 Properties of the Natural Logarithm Function
5.1 Exponential Growth and Decay
5.2 Compound Interest
6.1 Antidifferentiation
6.2 Areas and Riemann Sums
6.3 Definite Integrals and the Fundamental Theorem
6.4 Areas in the xy-Plane
6.5 Applications of the Definite Integral