Chapter 1 Limits andContinuity (6 hours)

§1.1 Introduction to limits (1 hour)

§1.2 Finding limits and one-sided limits (1 hour)

§1.3 Continuity (1 hour)

§1.4 Tangent lines (1 hour)

Review and Recitation (2 hours)

Chapter 2  Derivatives (10 hours)

§2.1 The derivative as a function (1 hour)

§2.2 The derivative as a rate of change (1 hour)

       §2.3 Derivatives of products, quotients (1 hour)

§2.4 Derivatives of trig. Function (1 hour)

§2.5 The chain rule (1 hour)

§2.6 Implicit differentiation (1 hour)

§2.7 Related rates (1 hour)

Review and Recitation (3 hours)

Chapter 3  Application of Derivatives (12 hours)

§3.1 Extreme values of function (2 hours)

§3.2 The mean value theorem  (1 hour)

§3.3 The shape of a graph (4 hours)

§3.4 Modeling and Optimization (2 hours)

Review and Recitation (3 hours)

Chapter 4  Integration (13 hours)

§4.1 Indefinite integrals (2 hours)

§4.2 Integral rules; integration by substitution (2 hours)

§4.3 Estimating with finite sums (1 hour)

§4.4 Riemann sum and definite integrals (2 hours)

§4.5 The mean value and fundamental theorems (2 hours)

§4.6 Substitution in definite integrals (1 hour)

Review and Recitation (3 hours)

Chapter 5  Application of Integrals (6 hours)

§5.1 Areas by integration (2 hours)

§5.2 Volumes by slicing and rotation about axis (2 hours)

Review and Recitation (2 hours)

Textbook： Calculus, James Stewart, 7th edition.（two volumes）

                   This book will be used to give the homework problems.

Reference book: Thomas' Calculus, 10th edition. （two volumes）