# MAT 131, Spring 2003 Topics and Assignments, revised April 16th

Exam solutions will become available after the assignment due date/exam.

Note that the exact schedule may change a bit over the course of the semester.. The most up-to-date version, complete with homework problems, etc, can always be found here, on the web.

 Week Topics Assignments Problems Jan 22 Introduction Appendix A: Intervals, inequalities and absolute values Appendix B: Coordinate geometry Sec. 1.1: Four ways to represent a function Problem Set 1 due Jan 27 or 28 App A: # 2,14,17,33,36,40 App B: # 4,12,14,16,20,26,41 1.1: # 2,5,6,7,8,9,19,24,26,34,42,54 Jan 27 Sec. 1.2: Mathematical models Sec. 1.3: New functions from old functions Appendix C: Trigonometry Problem Set 2 due Feb 3 or 4 1.2: # 2,3,4,10 1.3: # 3,4,10,12,15,23,36,42,48,52 App C: # 1,3,9,15,29,37 Feb 3 Sec. 1.5: Exponential functions Sec. 1.6: Inverse functions and logarithms Sec. 2.1: The tangent and velocity problems Problem Set 3 due Feb 10 or 11 1.5: # 7,8,13,15,18 1.6: # 5,6,7,8,10,17, 23, 24, 26, 36, 38,47,50,57 2.1: # 1,4,5,6,8 Early Exam: Wed Feb 5, 8:30 - 10:00 pm Review problems, Online practice exams Feb 10 Sec. 2.2: The limit of a function App. D: Precise definitions of limits Sec. 2.3: Calculating limits using the limit laws Problem Set 4 due Feb 17 or 18 2.2: # 1,2,3,4,6,10,11,14 2.3: # 2, 4, 8, 9, 10, 11, 12, 14, 16, 17, 29, 33 (Optional) App D: # 1, 4, 7, 8, 15, 18, 19 Feb 17 Sec. 2.4:  Continuity Snow! Problem Set 5 due Feb 24 or 25 2.4: # 3, 4, 5, 6, 13, 14, 15, 16, 18, 26, 31, 33, 36, 39 Feb 24 Sec. 2.5: Limits involving infinity Review Problem Set 6 due March 3 or 4 2.5: # 3,4, 5, 6, 14 , 16, 20, 23, 25, 28, 31, 35, 39 Midterm Examination I:  Thursday, Feb 27, 8:30-10:00 pm Topics 2.1, 2.2, 2.3, 2.4 Javits 100 March 3 Sec. 2.6: Tangents, velocities, and other rates of change Sec. 2.7: Derivatives Sec. 2.8: The derivative as a function Problem Set 7 due March 10 or 11 2.6: # 1,2,8,10,12, 13, 16,18 2.7: # 3,4,6,14,15,18,19, 20, 31, 35 2.8: # 2,4,8,9, 11,12,16,20,23,32,45 March 10 Sec. 2.10: What does f' say about f? Sec. 3.1: Derivatives of polynomials and exponentials Sec. 3.2: The product and quotient rules Problem Set 8 due March 24 or 25 2.10: # 2,5,7,12,19,24,25 3.1: # 2, 4, 6, 9, 12, 17, 20, 38, 42, 45, 46, 53,57 3.2: # 4,6,12,19,20,32,36 March 17 - 23 Spring Break March 24 Sec. 3.4: Derivatives of trigonometric functions Sec. 3.5: The chain rule Problem Set 9 due March 31 or April 1 3.4: # 1,2,3,7,8,18,26,27,33,38 3.5: # 1,4, 6, 8, 10, 12, 16, 20, 24, 26, 28, 38 ,50 March 31 Sec. 3.6: Implicit differentiation Sec. 3.7: Derivatives of logarithmic functions Problem Set 10 due April 7 or 8 3.6: # 2,4,10,14,16,28,30, 32, 34, 38,50 3.7: # 2,4,6,8,18,23,28,31,32 April 7 Sec. 3.8: Linear approximation and differentials Problem Set 11 due April 14 or 15 3.8: # 2,3,12,16,19,20 April 14 Review Midterm Examination II:  Tuesday, April 15, 8:30 -10:00 pm, April 16-April 19 Passover, no classes April 21 Sec. 4.2:  Maximum and minimum values Sec. 4.3: Derivatives and the shapes of curves Sec. 4.6: Optimization problems Problem Set 12 due April 28 or 29 4.2: # 4, 6, 8 ,22, 24, 28, 33, 35, 36, 40, 44, 52 4.3: # 2, 6, 8,11, 16,18, 26, 42,45,46 4.6: # 2,6,11,21, 25, 26,,40, 42 April 28 Sec. 4.9: Antiderivatives Sec. 5.1: Areas and distances Sec. 5.2: The definite integral Sec. 5.3: Evaluating definite integrals Problem Set 13 due May 5 or 6 4.9: # 4,8, 10, 14, 20, 24, 36, 38 5.1: # 2,4,16,18 5.2: # 4, 6, 29, 30, 32, 41 5.3: # 10, 13,14, 18 ,23, 29, 30 ,52 May 5 Review Last class meeting: May 9 Final Examination:  Friday May 16, 2:00 - 4:30 pm