Spring 2004, Mathematics 136, Section 01-03, SYLLABUS

NOTE: From time to time the lectures will introduce material that is not in the text and the homework will include problems not from the text. This additional material will be made available in student handouts, and all students will be responsible for studying these handouts. In principle, students should obtain these handouts electronically from links that will appear in this syllabus as the course proceeds. The instructor will announce in class when the links are available. Anyone who cannot access the handouts on-line should see the instructor.

HOW TO USE THIS SYLLABUS: Students should prepare for class by reading the material to be covered in lecture. Regularly check the syllabus page for updates and for handouts and additional problems.

In the syllabus, sections from Strauss, Bradley, Smith are labelled SBS. Sections from Goldstein, Lay, and Schneider, available, with access code, at http://www.prenhall.com/rutgerscalc, are labelled GLS.

 Lecture Topic Sections Problems Due date 1, 1/20 Integration Review SBS 5.3-5.5 SBS 5.3: 3,27 SBS 5.4: 7,15,19,45 SBS 5.5: 9,11,13,17,19,21,29,33,39 1/22 2, 1/23 Numerical Integration SBS 5.8 SBS 5.8: 3,7,11,13,19,21,27,29 Programs for TI-82 Programs for TI-82/TI-85 1/29 3, 1/27 Area between curves SBS 6.1 SBS 6.1: 1,3,5,9,12,13,15,19,24,31 1/29 4, 1/30 Volumes SBS 6.2 SBS 6.2: 1,5,7,9,13,15,20,25,31,35,41,42,55,59 2/5 5, 2/3 Volumes, Applications SBS 6.2, 6.6 SBS 6.6: 5,9,15,17,21 2/5 6, 2/6 Applications SBS 6.6 SBS 6.6: 25,28,29,39,49,53,57 2/12 7, 2/10 Integration by Parts; Integration Tables SBS 7.1, 7.2 SBS 7.1: 3,5,11,13,15,17,27,31,42,47,53 SBS 7.2 1,3,7,13,17,21,22,26,35,37 2/12 8, 2/13 Trig. integrals, partial fractions SBS 7.3, 7.4 SBS 7.3: 5,7,11,12,13,17,19,22,49,53,57, SBS 7.4: 1,2,5,7,11,15,17,19,23,27,29,31,57,59 2/19 9, 2/17 Differential Equations Separable equations SBS 5.6 SBS 5.6: 1,5,7,9,11,17,20,21,23,25,27,29,45,47,61,63 2/19 10, 2/20 Differential Equations First order SBS 7.6 SBS 7.6: 1,5,11,13,23,24,25,28,25,43 2/26 11, 2/24 Improper Integrals SBS 7.7 SBS 7.7: 3,5,13,17,19,21,25,27,31,33,35,39,47,49 3/4 12, 2/27 FIRST MIDTERM 13, 3/2 Taylor polynomials GLS 11.1 11.1: 1,5,7,13,15,17,19,22,27,29,30 3/4 14, 3/5 Sequences SBS 8.1 SBS 8.1: 5,9,13,17,23,25,31,42-45,47 3/11 15, 3/9 Geometric Series SBS 8.2 SBS 8.2:3-8,15,16,23,25,33,39,41,49,53,56 3/11 16, 3/12 Convergence tests SBS 8.3,8.4 SBS 8.3: 3,4,5,7,9,13,15,19,21,29,33,43,45,55 SBS 8.4: 1,3,9,12,13,17,19,27,33,37,47,53 3/25 17, 3/23 Ratio and root tests SBS 8.5 SBS 8.5: 3,5,7,9,13,17,21,29,33,39,53 3/25 18, 3/26 Absolute convergence Alternating series SBS 8.6 SBS 8.6: 5,7,9,11,13,17,21,25,31,35,39,49 4/1 19, 3/30 Power series SBS 8.7 SBS 8.7: 1,5,9,11,13,17,21,25,31,35,39,49 4/8 20, 4/2 SECOND MIDTERM 21, 4/6 Taylor series SBS 8.8 SBS 8.8: 3,7,13,21,25,31,33,39,49,55,60,69 4/8 22, 4/9 Functions of several variables GLS 7.1 GLS 7.1: 7,3,15,15,17,18,19,23-26 4/15 23, 4/13 Partial Derivatives GLS 7.2 GLS 7.2: 3,4,9,15,18,25,26,27,28,35 4/15 24, 4/16 Maxima and Minima GLS 7.3 GLS 7.3: 3,5,8,11,12,14,16,17,23,26,29,31,33 4/22 25, 4/20 Constrained Optimization GLS 7.4 GLS 7.4: 1,5,9,11,12,13,15,18,19,25,26 4/22 26, 4/23 Least Squares Regression GLS 7.5, 7.6 GLS 7.5: 1,3,5,9,11,15 GLS 7.6: 1,3,5 4/29 27, 4/27 Double Integrals GLS 7.7 GLS 7.7: 1,3,5,6,9,11,13,14 4/29 28, 4/30 Catch-up, review