The following is a tentative 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.




Appendices AC  Review of some topics in precalculus  
9/16  1.1  Functions, operations on functions, sequences 
9/18  1.1  Graphs of functions, even and odd functions, types of sequences 
9/21  1.2, 1.4  Catalogue of functions, average rate of change of a function 
9/22 (xhour)  Quiz 1  
9/23  1.2  Modeling with functions, Lagrange interpolation 
9/25  1.3  Geometric interpretation of function composition 
9/28  6.1, 6.2*6.4*  Inverse functions, exponential functions, and logarithmic functions 
9/29 (xhour)  Quiz 2  
9/30  Appendix D  Trigonometric functions 
10/2  6.6  Inverse trigonometric functions, solving trigonometric expressions 
10/5  11.1  (Informal) limits and convergence of sequences 
10/6 (xhour)  Review  
10/7  11.1  (Formal) limits of sequences 
10/8  Exam 1  
10/9  11.1  More on convergent sequences 
10/12  1.5  (Informal) limits of functions, limits at infinity, asymptotes 
10/13 (xhour)  Quiz 3  
10/14  1.6, 1.7  (Formal) limits of functions, properties of limits 
10/16  1.8  Continuous functions 
10/19  1.6, 1.8  Squeeze Theorem, limits and continuity of trigonometric, exponential, and logarithmic functions 
10/20 (xhour)  Quiz 4  
10/21  1.4, 2.1  Rates of change and the derivative, tangent lines 
10/23  2.2  The derivative as a function 
10/24 (Saturday class)  2.3, 6.2  Derivative rules 
10/26  2.3  Product and Quotient Rules, higher order derivatives 
10/27 (xhour)  Review  
10/28  2.4  Derivatives of trigonometric functions 
10/29  Exam 2  
10/30  6.4  Derivatives of exponential and logarithmic functions 
11/2  2.5  Chain Rule 
11/3 (xhour)  Quiz 5  
11/4  2.6, 6.6  Implicit differentiation, derivatives of inverse trigonometric functions 
11/6  6.8  L'Hospital's Rule 
11/9  3.8  Newton's Method 
11/10 (xhour)  Quiz 6  
11/11  2.9  Linear approximation 
11/13  2.9, 11.10  Taylor polynomials 
11/16  11.11  Approximation using Taylor polynomials 
11/17 (xhour)  Review/wrapup  
11/20  Final exam 