Last update: 30/10/04 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 6: Transcendental Functions: (6.1-6.4, 6.6-6.10) Chap 5: Integration: 5.2-5.6 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 Week 01: (no recitation this week) Tu: 09/14(2hr): Tr: 09/16(2hr): 2.2: Limits involving infinity. 2.3: Sandwich Theorem. 2.5: Formal definition of limits. 2.4: Continuous functions. Intermediate value Theorem and application to root finding. Week 02: Tu: 09/21(1hr): Recitation Tu: 09/21(1hr): Tu: 09/23(2hr): 3.1: Slopes and Derivatives. 3.2: Differentiation Rules. 3.4: Derivative of trigonometric functions. 3.5: The Chain Rule. Week 03: Tu: 09/28: ------------------ Holiday, no class. Wd: 09/29: quiz -------------------------- (Chap 2) Tr: 09/30(1hr): Recitation Tr: 09/30(1hr): 3.6: Implicit Differentiation. Week 04: (no recitation this week) Tu: 10/05(2hr): Tr: 10/07(2hr): 3.7: Linearization and differentials. 3.8: Newton's method. 4.2: Extreme values and critical points. Week 05: Tu: 10/12(1hr): Recitation Tu: 10/12(1hr): Wd: 10/13: quiz --------------------------- (Chap 3) Tr: 10/14(2hr): 4.3: Graphing. 4.4: Graphing of rational functions. 4.5: Optimization. Week 06: Tu: 10/19(1hr): Recitation Tu: 10/19(1hr): Tr: 10/21(2hr): 6.1: Exponential function and its derivative. 6.2: Inverse functions and their derivatives. 4.6: Mean Value Theorem. Week 07: Tu: 10/26(1hr): Recitation Tu: 10/26(1hr): Tr: 10/28(2hr): 6.3: Logarithmic function and its derivative. 6.6: L'Hopital's rule. 6.7: Big O and small o. Week 08: Tu: 11/02(2hr): Wd: 11/03: Recitation Tr: 11/04(2hr): Preview for Midterm + quiz -------------- (Chap 4) 6.8, 6.9: Inverse trigonometric functions and their derivatives. 6.10: Hyperbolic Functions. Week 09: Tu: 11/09(2hr): Recitation Wd: 11/10: Problem session Tr: 11/11(2hr): Midterm Exam ----------('Differentiation': Chap 2,3,4,6) Week 10: Tu: 11/16(1hr): Tu: 11/16(1hr): Tr: 11/18(2hr): 5.2: Riemann sums and definite integrals. 5.3: Mean value theorem for integrals. 5.4: Fundamental Theorem of Calculus. 5.5: Indefinite integrals. Week 11: Tu: 11/23(1hr): Recitation Tu: 11/23(1hr): Tr: 11/25(2hr): 5.6: Integration by substitution. 6.4: Integration of logarithmic function. 6.9: Integration of derivatives of trigonometric functions. Week 12: Tu: 11/30(2hr): Wd: 12/01: Recitation hour cancelled Tr: 12/02(2hr): 6.10: Integration involving hyperbolic functions. 7.1: Areas between curves. 7.2, 7.3: Volumes of solids of revolution -- disks and cylindrical shells. Week 13: Tu: 12/07(1hr): Recitation. Tu: 12/07(1hr): Wd: 12/08: Recitation hour cancelled Tr: 12/09(1hr): Tr: 12/09(1hr): quiz ------------------ (Chap 5, 6.4, 6.9, 6.10) 7.4: Curve length and surface area. 8.1: Basic integration formulas. 8.2: Integration by parts. Week 14: Tu: 12/14(1hr): Recitation. Tu: 12/14(1hr): Tr: 12/16(2hr): 8.3: Partial fractions. 8.4: Trigonometric substitutions. 8.6: Improper integrals. Week 15: Tu: 12/21(1hr): Recitation Tu: 12/21(1hr): Wd: 12/22: quiz ------------------------- (6.10, Chap 7, Chap 8) Tr: 12/23(2hr): 9.1: Sequences 9.2: Infinite series 9.3: Comparison and integral tests Week 16: Tu: 12/28(1hr): Recitation Tu: 12/28(1hr): Tr: 12/30(2hr): 9.4: Ratio and Root Tests 9.5: Alternating Series and absolute convergence 9.6: Power series Week 17: Tu: 01/04(1hr): Recitation Tr: 01/04(1hr): (Last class, Preview for Final) Week 18: Tr: 01/11: Final Exam (Chap 5, 6.4, 6.9, 7, 8, 9.1-9.6)