The following is a rough syllabus for the course. The textbook section listed for each day is the one that we intend to cover that day, and it should be read before coming to class.




9/21  Overview/Preview  
9/23  1.1  Four Ways to Represent a Function 
9/26  1.2  Mathematical Models: A Catalog of Essential Functions 
9/27 (xhour)  Appendix D  Quiz 1; Trigonometry Review 
9/28  Appendix D, 1.3  Trigonometric Functions; New Functions from Old Functions 
9/30  1.3  Graph Transformations 
10/3  1.3, 1.5  Composition of Functions 
10/4 (xhour)  1.5  Quiz 2; Exponential Functions 
10/5  1.5, 1.6  Exponential Functions (cont.); Inverse Functions 
10/7  1.6  Inverse Functions and Logarithms 
10/10  2.1  Logarithms (cont.); The Tangent and Velocity Problems 
10/11 (xhour)  Quiz 3  
10/12  2.2  Limits of Functions 
10/14  2.3  Infinite Limits 
10/17  2.3  Techniques for Calculating Limits 
10/18 (xhour)  Quiz 4  
10/19  Exam review  
10/21  NO CLASS  
10/24  2.3  Limit Techniques and the Squeeze Theorem 
10/25 (xhour)  2.5  Quiz 5; Continuity 
10/26  2.5  Continuity (continued) 
10/28  2.6, 2.7  Limits at Infinity and Horizontal Asymptotes; The Definition of the Derivative 
10/31  2.7, 2.8  Examples of Derivatives and the Derivative as a Function 
11/1 (xhour)  2.8  Quiz 5; Differentiability 
11/2  3.1  Derivatives of Polynomials and Exponential Functions 
11/4  3.2  The Product and Quotient Rules 
11/7  3.3  Derivatives of Trigonometric Functions 
11/8 (xhour)  Quiz 7; Exam Review  
11/9  3.4  The Chain Rule 
11/11  3.5, 3.6  The Chain Rule Revisited, Implicit Differentiation 
11/14  3.6, 3.7  Implicit Differentiation and Derivatives of Logarithmic Functions 
11/15 (xhour)  1.6  Quiz 8; Inverse Trig Functions 
11/16  3.6, 3.9  Derivatives of Inverse Trig Functions; Related Rates 
11/18  3.9, 4.1  Related Rates (cont.); Maximum and Minimum Values 
11/21  4.1, 4.3  How Derivatives Affect the Shape of a Graph 
11/23  Thanksgiving Break: 11/23  11/27  
11/28  4.5, 4.4  Summary of Curve Sketching and l'Hopital's Rule 
11/29 (xhour)  3.7, 3.8  Applications of Derivatives 
11/30  4.2  The Mean Value Theorem 