Last update: Sep 13, 2006 Textbook: Finney and Thomas: Calculus, 2nd edition. Course contents: Chap 2: Limits and continuity: 2.2-2.5. Chap 3: Derivatives: 3.1-3.2, 3.4-3.8 Chap 4: Application of derivatives. (4.2-4.6) Chap 5: Integration: 5.2-5.6 Chap 6: Transcendental Functions: (6.1-6.4, 6.6-6.10) Chap 7: Application of Integration: 7.1-7.4 Chap 8: Techniques of Integration: 8.1-8.6 Chap 9: Infinite series: 9.1-9.8 (if time permits) Grading: quiz (pick 5 best from 6) 40%, midterm and final, about 20% each. Week 01: (no recitation this week) Tu: 09/12: Tr: 09/14: 2.2: Limits involving infinity. 2.3: Sandwich Theorem. 2.4: Continuous functions. Intermediate value Theorem and application to root finding. Week 02: Tu: 09/19: Tu: 09/19: Recitation (on homework 01) Tr: 09/21: 2.5: Formal definition of limits. 3.1: Slopes and Derivatives. 3.2: Differentiation Rules. Week 03: Tu: 09/26: Tu: 09/26: Recitation (on homework 02) Tr: 09/28: quiz 1 --------------------(homework 01 - homework 02) 3.4: Derivative of trigonometric functions. 3.5: The Chain Rule. Week 04: Tu: 10/03: Tu: 10/03: Recitation (on homework 03) Tr: 10/05: 3.6: Implicit Differentiation. 3.7: Linearization and differentials. Extra on 3.7: Error estimate for linear approximations. 3.8: Newton's method. Week 05: (Note schedule change for recitation this week. No homework this week) Tu: 10/10: Holiday, no class Wd: 10/11: Recitation (on homework 04) Tr: 10/12: quiz 2 --------------------(homework 03 - homework 04) 4.2: Extreme values and critical points. Week 06: Tu: 10/17: Tu: 10/17: Recitation (Last Salvage for Midterm 1) Tr: 10/19: Midterm Exam 1 ---------------------------------(week 01 - week 04) 4.3: Graphing. 4.4: Graphing of rational functions. Week 07: Tu: 10/24: Tu: 10/24: Recitation (on homework 06 (for week05-06)) Tr: 10/26: 4.5: Optimization. 4.6: Mean Value Theorem. 5.1: Estimating with finite sums. Week 08: Tu: 10/31: Tu: 10/31: Recitation (on homework 07) Tr: 11/02: quiz 3 --------------------(homework 06 - homework 07) 5.2: Riemann sums and definite integrals. 5.3: Mean value theorem for integrals. 5.4: Fundamental Theorem of Calculus. Week 09: Tu: 11/07: Tu: 11/07: Recitation (on homework 08) Tr: 11/09: 5.5: Indefinite integrals. 5.6: Integration by substitution. 6.1: Exponential function and its derivative. Week 10: Tu: 11/14: Tu: 11/14: Recitation (on homework 09) Tr: 11/16: quiz 4 --------------------(homework 08 - homework 09) 6.2: Inverse functions and their derivatives. 6.3: Logarithmic function and its derivative. 6.4: Integration of logarithmic function. 6.6: L'Hopital's rule. Week 11: Tu: 11/21: Tu: 11/21: Recitation (on homework 10) Tr: 11/23: 6.7: Big O and small o. 6.8: Inverse trigonometric functions and their derivatives. 6.9: Integration of derivatives of trigonometric functions. Week 12: Tu: 11/28: Tu: 11/28: Recitation (on homework 11) Tr: 11/30: Midterm Exam 2 ---------------------------------(week 06 - week 11) 6.10: Hyperbolic Functions. 6.11: First order differential equations. Week 13: Tu: 12/05: Tu: 12/05: Recitation (on homework 12) Tr: 12/07: 7.1: Areas between curves. 7.2: Volumes of solids of revolution -- disks and Washers. 7.3: Volumes of solids of revolution -- cylindrical shells. 7.4: Curve length and surface area. Week 14: Tu: 12/12: Tu: 12/12: Recitation (on homework 13) Tr: 12/14: quiz 5 --------------------(homework 12 - homework 13) 8.1: Basic integration formulas. 8.2: Integration by parts. Week 15: Tu: 12/19: Tu: 12/19: Recitation (on homework 14) Tr: 12/21: 8.3: Partial fractions. 8.4: Trigonometric substitutions. Week 16: Tu: 12/26: Tu: 12/26: Recitation (on homework 15) Tr: 12/28: quiz 6 --------------------(homework 14 - homework 15) 8.5: Integral tables. 8.6: Improper integrals. Week 17: Tu: 01/02: Preview for Final Tu: 01/02: Recitation (on homework 16) Tr: 01/04: Week 18: Tu: 01/09 or Tr 1/11: Final Exam ------------------(week 12 - week 17)