Monday Tuesday Wednesday Friday First day of class Sec 1. Straight lines Sec 2. Slope of a curve Sec 2. Slope of a curve cont. Sec 3. Derivative of a polynomial Sec 3. Derivative of a polynomial cont. Sec 4. Antiderivatives of polynomials Sec 4. Antiderivatives of polynomials cont. Sec 5. Definite integrals Sec 5. Definite integrals cont. Sec 5. Definite integrals cont. Where we're going from here Labor day Sec 5. Definite integrals cont. 1.1 Introduction to limits 1.2 Rigorous study of limits 1.3 Limit theorems 1.4 Limits involving trig functions 1.5 Limits at infinity; infinite limits 1.6 Continuity of functions Fall break Fall break Fall break Fall break 2.7 Implicit Differentiation 2.8 Related Rates 2.9 Differentials and approximation 3.1 Maximina and minima 3.2 Monotonicity and concavity Quiz Test review Exam 1 3.3 Local extrema 3.5 Graphing functions using calculus 3.6 The mean value theorem for derivatives 3.7 Solving equations numerically Quiz 3.8 Antiderivatives 3.9 Introduction to differential equations 4.1 Introduction to area 4.2 The definite integral Quiz 4.3 The first fundamental theorem of calculus 4.4 The second fundamental theorem of calculus 4.5 The mean value theorem for integrals Quiz 4.6 Numerical integration Test review Thanksgiving Day Holiday 5.2 The volume of solids: slabs, discs, washers Exam 2 5.3 Volume of solids: shells 5.4 Length of a plane curve 5.5 Work and fluid force 5.6 Moments and center of mass Review for final Last day of class